{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            alexa_total_streams  amazon_total_downloads  \\\n",
      "alexa_total_streams                    1.000000                0.565273   \n",
      "amazon_total_downloads                 0.565273                1.000000   \n",
      "amazon_total_streams                   0.769510                0.674862   \n",
      "apple_active_streams                   0.301717                0.565179   \n",
      "apple_collection_streams               0.297965                0.576991   \n",
      "apple_passive_streams                  0.407712                0.720218   \n",
      "apple_total_streams                    0.324889                0.613518   \n",
      "fb_likes                               0.010245                0.009907   \n",
      "google_total_downloads                 0.349714                0.430590   \n",
      "insta_followers                       -0.041908               -0.060186   \n",
      "itunes_total_downloads                 0.531266                0.877305   \n",
      "num_active_releases                    0.105378                0.138052   \n",
      "pandora_total_streams                  0.227670                0.338567   \n",
      "rev_log                                0.357447                0.470446   \n",
      "rev_recip                             -0.179947               -0.231963   \n",
      "shazam_total_streams                   0.329274                0.501158   \n",
      "spotify_active_streams                 0.259189                0.377714   \n",
      "spotify_collection_streams             0.404923                0.640745   \n",
      "spotify_passive_streams                0.430012                0.629324   \n",
      "spotify_playlist_streams               0.463759                0.644612   \n",
      "spotify_total_streams                  0.404788                0.611119   \n",
      "total_rev                              0.476672                0.805315   \n",
      "twitter_followers                      0.012385                0.005340   \n",
      "wiki_pageviews                         0.121223                0.064347   \n",
      "youtube_audio_streams                  0.110457                0.213593   \n",
      "youtube_subs                           0.008946                0.000271   \n",
      "\n",
      "                            amazon_total_streams  apple_active_streams  \\\n",
      "alexa_total_streams                     0.769510              0.301717   \n",
      "amazon_total_downloads                  0.674862              0.565179   \n",
      "amazon_total_streams                    1.000000              0.651676   \n",
      "apple_active_streams                    0.651676              1.000000   \n",
      "apple_collection_streams                0.657873              0.971739   \n",
      "apple_passive_streams                   0.642785              0.798372   \n",
      "apple_total_streams                     0.674718              0.984098   \n",
      "fb_likes                                0.024716              0.106524   \n",
      "google_total_downloads                  0.709170              0.700438   \n",
      "insta_followers                        -0.057706              0.004769   \n",
      "itunes_total_downloads                  0.780777              0.760091   \n",
      "num_active_releases                     0.126424              0.082403   \n",
      "pandora_total_streams                   0.441701              0.831834   \n",
      "rev_log                                 0.447920              0.507164   \n",
      "rev_recip                              -0.212236             -0.254715   \n",
      "shazam_total_streams                    0.329833              0.340865   \n",
      "spotify_active_streams                  0.408661              0.683999   \n",
      "spotify_collection_streams              0.641194              0.856962   \n",
      "spotify_passive_streams                 0.640630              0.761396   \n",
      "spotify_playlist_streams                0.553744              0.695654   \n",
      "spotify_total_streams                   0.622466              0.816356   \n",
      "total_rev                               0.695353              0.838034   \n",
      "twitter_followers                       0.017183              0.148805   \n",
      "wiki_pageviews                          0.028336             -0.016300   \n",
      "youtube_audio_streams                   0.139273              0.308223   \n",
      "youtube_subs                            0.002045              0.030372   \n",
      "\n",
      "                            apple_collection_streams  apple_passive_streams  \\\n",
      "alexa_total_streams                         0.297965               0.407712   \n",
      "amazon_total_downloads                      0.576991               0.720218   \n",
      "amazon_total_streams                        0.657873               0.642785   \n",
      "apple_active_streams                        0.971739               0.798372   \n",
      "apple_collection_streams                    1.000000               0.790591   \n",
      "apple_passive_streams                       0.790591               1.000000   \n",
      "apple_total_streams                         0.992447               0.849121   \n",
      "fb_likes                                    0.084040               0.070643   \n",
      "google_total_downloads                      0.667595               0.602193   \n",
      "insta_followers                            -0.011787              -0.023722   \n",
      "itunes_total_downloads                      0.765894               0.791762   \n",
      "num_active_releases                         0.074017               0.076676   \n",
      "pandora_total_streams                       0.839701               0.533430   \n",
      "rev_log                                     0.478345               0.455022   \n",
      "rev_recip                                  -0.233712              -0.218549   \n",
      "shazam_total_streams                        0.348459               0.502459   \n",
      "spotify_active_streams                      0.587603               0.605586   \n",
      "spotify_collection_streams                  0.844943               0.851589   \n",
      "spotify_passive_streams                     0.731749               0.813400   \n",
      "spotify_playlist_streams                    0.688844               0.818680   \n",
      "spotify_total_streams                       0.779044               0.821532   \n",
      "total_rev                                   0.823144               0.810739   \n",
      "twitter_followers                           0.089406               0.088188   \n",
      "wiki_pageviews                             -0.013693               0.014249   \n",
      "youtube_audio_streams                       0.242930               0.209137   \n",
      "youtube_subs                                0.021392               0.016198   \n",
      "\n",
      "                            apple_total_streams  fb_likes  \\\n",
      "alexa_total_streams                    0.324889  0.010245   \n",
      "amazon_total_downloads                 0.613518  0.009907   \n",
      "amazon_total_streams                   0.674718  0.024716   \n",
      "apple_active_streams                   0.984098  0.106524   \n",
      "apple_collection_streams               0.992447  0.084040   \n",
      "apple_passive_streams                  0.849121  0.070643   \n",
      "apple_total_streams                    1.000000  0.090735   \n",
      "fb_likes                               0.090735  1.000000   \n",
      "google_total_downloads                 0.687855  0.071948   \n",
      "insta_followers                       -0.008796  0.665413   \n",
      "itunes_total_downloads                 0.792402  0.034292   \n",
      "num_active_releases                    0.079038  0.009511   \n",
      "pandora_total_streams                  0.818105  0.238398   \n",
      "rev_log                                0.497800  0.114901   \n",
      "rev_recip                             -0.244537 -0.086729   \n",
      "shazam_total_streams                   0.380328  0.128629   \n",
      "spotify_active_streams                 0.634992  0.117479   \n",
      "spotify_collection_streams             0.875745  0.092749   \n",
      "spotify_passive_streams                0.775011  0.091249   \n",
      "spotify_playlist_streams               0.731760  0.124425   \n",
      "spotify_total_streams                  0.820022  0.100893   \n",
      "total_rev                              0.851335  0.085057   \n",
      "twitter_followers                      0.107892  0.471969   \n",
      "wiki_pageviews                        -0.010589  0.345306   \n",
      "youtube_audio_streams                  0.263203  0.153509   \n",
      "youtube_subs                           0.023735  0.699379   \n",
      "\n",
      "                            google_total_downloads  insta_followers  \\\n",
      "alexa_total_streams                       0.349714        -0.041908   \n",
      "amazon_total_downloads                    0.430590        -0.060186   \n",
      "amazon_total_streams                      0.709170        -0.057706   \n",
      "apple_active_streams                      0.700438         0.004769   \n",
      "apple_collection_streams                  0.667595        -0.011787   \n",
      "apple_passive_streams                     0.602193        -0.023722   \n",
      "apple_total_streams                       0.687855        -0.008796   \n",
      "fb_likes                                  0.071948         0.665413   \n",
      "google_total_downloads                    1.000000        -0.032954   \n",
      "insta_followers                          -0.032954         1.000000   \n",
      "itunes_total_downloads                    0.491694        -0.041774   \n",
      "num_active_releases                       0.062983        -0.025918   \n",
      "pandora_total_streams                     0.556021        -0.022635   \n",
      "rev_log                                   0.452665         0.055305   \n",
      "rev_recip                                -0.239881        -0.092744   \n",
      "shazam_total_streams                      0.377203        -0.009899   \n",
      "spotify_active_streams                    0.563878         0.029299   \n",
      "spotify_collection_streams                0.711770        -0.008399   \n",
      "spotify_passive_streams                   0.683678        -0.018793   \n",
      "spotify_playlist_streams                  0.566519        -0.006139   \n",
      "spotify_total_streams                     0.700228        -0.005034   \n",
      "total_rev                                 0.603163        -0.022012   \n",
      "twitter_followers                         0.050402         0.650924   \n",
      "wiki_pageviews                           -0.010060         0.261043   \n",
      "youtube_audio_streams                     0.201512         0.066774   \n",
      "youtube_subs                              0.018455         0.856698   \n",
      "\n",
      "                                ...       spotify_active_streams  \\\n",
      "alexa_total_streams             ...                     0.259189   \n",
      "amazon_total_downloads          ...                     0.377714   \n",
      "amazon_total_streams            ...                     0.408661   \n",
      "apple_active_streams            ...                     0.683999   \n",
      "apple_collection_streams        ...                     0.587603   \n",
      "apple_passive_streams           ...                     0.605586   \n",
      "apple_total_streams             ...                     0.634992   \n",
      "fb_likes                        ...                     0.117479   \n",
      "google_total_downloads          ...                     0.563878   \n",
      "insta_followers                 ...                     0.029299   \n",
      "itunes_total_downloads          ...                     0.430068   \n",
      "num_active_releases             ...                     0.090102   \n",
      "pandora_total_streams           ...                     0.544580   \n",
      "rev_log                         ...                     0.472006   \n",
      "rev_recip                       ...                    -0.264768   \n",
      "shazam_total_streams            ...                     0.267062   \n",
      "spotify_active_streams          ...                     1.000000   \n",
      "spotify_collection_streams      ...                     0.831729   \n",
      "spotify_passive_streams         ...                     0.787407   \n",
      "spotify_playlist_streams        ...                     0.680176   \n",
      "spotify_total_streams           ...                     0.881699   \n",
      "total_rev                       ...                     0.585663   \n",
      "twitter_followers               ...                     0.204959   \n",
      "wiki_pageviews                  ...                    -0.036235   \n",
      "youtube_audio_streams           ...                     0.385898   \n",
      "youtube_subs                    ...                     0.055644   \n",
      "\n",
      "                            spotify_collection_streams  \\\n",
      "alexa_total_streams                           0.404923   \n",
      "amazon_total_downloads                        0.640745   \n",
      "amazon_total_streams                          0.641194   \n",
      "apple_active_streams                          0.856962   \n",
      "apple_collection_streams                      0.844943   \n",
      "apple_passive_streams                         0.851589   \n",
      "apple_total_streams                           0.875745   \n",
      "fb_likes                                      0.092749   \n",
      "google_total_downloads                        0.711770   \n",
      "insta_followers                              -0.008399   \n",
      "itunes_total_downloads                        0.711967   \n",
      "num_active_releases                           0.078713   \n",
      "pandora_total_streams                         0.690537   \n",
      "rev_log                                       0.529269   \n",
      "rev_recip                                    -0.268045   \n",
      "shazam_total_streams                          0.450833   \n",
      "spotify_active_streams                        0.831729   \n",
      "spotify_collection_streams                    1.000000   \n",
      "spotify_passive_streams                       0.931025   \n",
      "spotify_playlist_streams                      0.876453   \n",
      "spotify_total_streams                         0.979299   \n",
      "total_rev                                     0.801407   \n",
      "twitter_followers                             0.115832   \n",
      "wiki_pageviews                               -0.020680   \n",
      "youtube_audio_streams                         0.313115   \n",
      "youtube_subs                                  0.038796   \n",
      "\n",
      "                            spotify_passive_streams  spotify_playlist_streams  \\\n",
      "alexa_total_streams                        0.430012                  0.463759   \n",
      "amazon_total_downloads                     0.629324                  0.644612   \n",
      "amazon_total_streams                       0.640630                  0.553744   \n",
      "apple_active_streams                       0.761396                  0.695654   \n",
      "apple_collection_streams                   0.731749                  0.688844   \n",
      "apple_passive_streams                      0.813400                  0.818680   \n",
      "apple_total_streams                        0.775011                  0.731760   \n",
      "fb_likes                                   0.091249                  0.124425   \n",
      "google_total_downloads                     0.683678                  0.566519   \n",
      "insta_followers                           -0.018793                 -0.006139   \n",
      "itunes_total_downloads                     0.670299                  0.669526   \n",
      "num_active_releases                        0.083031                  0.079289   \n",
      "pandora_total_streams                      0.601430                  0.546812   \n",
      "rev_log                                    0.504768                  0.438558   \n",
      "rev_recip                                 -0.256591                 -0.209451   \n",
      "shazam_total_streams                       0.422868                  0.472872   \n",
      "spotify_active_streams                     0.787407                  0.680176   \n",
      "spotify_collection_streams                 0.931025                  0.876453   \n",
      "spotify_passive_streams                    1.000000                  0.943235   \n",
      "spotify_playlist_streams                   0.943235                  1.000000   \n",
      "spotify_total_streams                      0.973690                  0.905473   \n",
      "total_rev                                  0.760929                  0.710349   \n",
      "twitter_followers                          0.135111                  0.173190   \n",
      "wiki_pageviews                            -0.025333                  0.011767   \n",
      "youtube_audio_streams                      0.301290                  0.278957   \n",
      "youtube_subs                               0.037097                  0.050568   \n",
      "\n",
      "                            spotify_total_streams  total_rev  \\\n",
      "alexa_total_streams                      0.404788   0.476672   \n",
      "amazon_total_downloads                   0.611119   0.805315   \n",
      "amazon_total_streams                     0.622466   0.695353   \n",
      "apple_active_streams                     0.816356   0.838034   \n",
      "apple_collection_streams                 0.779044   0.823144   \n",
      "apple_passive_streams                    0.821532   0.810739   \n",
      "apple_total_streams                      0.820022   0.851335   \n",
      "fb_likes                                 0.100893   0.085057   \n",
      "google_total_downloads                   0.700228   0.603163   \n",
      "insta_followers                         -0.005034  -0.022012   \n",
      "itunes_total_downloads                   0.667374   0.923326   \n",
      "num_active_releases                      0.086331   0.115129   \n",
      "pandora_total_streams                    0.651596   0.648539   \n",
      "rev_log                                  0.529993   0.610596   \n",
      "rev_recip                               -0.273959  -0.303422   \n",
      "shazam_total_streams                     0.420968   0.521843   \n",
      "spotify_active_streams                   0.881699   0.585663   \n",
      "spotify_collection_streams               0.979299   0.801407   \n",
      "spotify_passive_streams                  0.973690   0.760929   \n",
      "spotify_playlist_streams                 0.905473   0.710349   \n",
      "spotify_total_streams                    1.000000   0.775303   \n",
      "total_rev                                0.775303   1.000000   \n",
      "twitter_followers                        0.145753   0.102449   \n",
      "wiki_pageviews                          -0.026525   0.040755   \n",
      "youtube_audio_streams                    0.335254   0.319912   \n",
      "youtube_subs                             0.042713   0.033803   \n",
      "\n",
      "                            twitter_followers  wiki_pageviews  \\\n",
      "alexa_total_streams                  0.012385        0.121223   \n",
      "amazon_total_downloads               0.005340        0.064347   \n",
      "amazon_total_streams                 0.017183        0.028336   \n",
      "apple_active_streams                 0.148805       -0.016300   \n",
      "apple_collection_streams             0.089406       -0.013693   \n",
      "apple_passive_streams                0.088188        0.014249   \n",
      "apple_total_streams                  0.107892       -0.010589   \n",
      "fb_likes                             0.471969        0.345306   \n",
      "google_total_downloads               0.050402       -0.010060   \n",
      "insta_followers                      0.650924        0.261043   \n",
      "itunes_total_downloads               0.054446        0.026394   \n",
      "num_active_releases                  0.009723       -0.001877   \n",
      "pandora_total_streams                0.084111       -0.016075   \n",
      "rev_log                              0.185158        0.028792   \n",
      "rev_recip                           -0.136946        0.008824   \n",
      "shazam_total_streams                 0.033876        0.098610   \n",
      "spotify_active_streams               0.204959       -0.036235   \n",
      "spotify_collection_streams           0.115832       -0.020680   \n",
      "spotify_passive_streams              0.135111       -0.025333   \n",
      "spotify_playlist_streams             0.173190        0.011767   \n",
      "spotify_total_streams                0.145753       -0.026525   \n",
      "total_rev                            0.102449        0.040755   \n",
      "twitter_followers                    1.000000        0.071110   \n",
      "wiki_pageviews                       0.071110        1.000000   \n",
      "youtube_audio_streams                0.310489       -0.035091   \n",
      "youtube_subs                         0.554942        0.135648   \n",
      "\n",
      "                            youtube_audio_streams  youtube_subs  \n",
      "alexa_total_streams                      0.110457      0.008946  \n",
      "amazon_total_downloads                   0.213593      0.000271  \n",
      "amazon_total_streams                     0.139273      0.002045  \n",
      "apple_active_streams                     0.308223      0.030372  \n",
      "apple_collection_streams                 0.242930      0.021392  \n",
      "apple_passive_streams                    0.209137      0.016198  \n",
      "apple_total_streams                      0.263203      0.023735  \n",
      "fb_likes                                 0.153509      0.699379  \n",
      "google_total_downloads                   0.201512      0.018455  \n",
      "insta_followers                          0.066774      0.856698  \n",
      "itunes_total_downloads                   0.181762      0.016319  \n",
      "num_active_releases                      0.030981     -0.007373  \n",
      "pandora_total_streams                    0.252177      0.059949  \n",
      "rev_log                                  0.357461      0.064904  \n",
      "rev_recip                               -0.203313     -0.049901  \n",
      "shazam_total_streams                     0.137371      0.073851  \n",
      "spotify_active_streams                   0.385898      0.055644  \n",
      "spotify_collection_streams               0.313115      0.038796  \n",
      "spotify_passive_streams                  0.301290      0.037097  \n",
      "spotify_playlist_streams                 0.278957      0.050568  \n",
      "spotify_total_streams                    0.335254      0.042713  \n",
      "total_rev                                0.319912      0.033803  \n",
      "twitter_followers                        0.310489      0.554942  \n",
      "wiki_pageviews                          -0.035091      0.135648  \n",
      "youtube_audio_streams                    1.000000      0.026214  \n",
      "youtube_subs                             0.026214      1.000000  \n",
      "\n",
      "[26 rows x 26 columns]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:              total_rev   R-squared:                       0.998\n",
      "Model:                            OLS   Adj. R-squared:                  0.997\n",
      "Method:                 Least Squares   F-statistic:                     752.0\n",
      "Date:                Wed, 14 Feb 2018   Prob (F-statistic):           4.19e-32\n",
      "Time:                        15:46:01   Log-Likelihood:                -563.63\n",
      "No. Observations:                  49   AIC:                             1171.\n",
      "Df Residuals:                      27   BIC:                             1213.\n",
      "Df Model:                          21                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================================\n",
      "                                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "----------------------------------------------------------------------------------------------\n",
      "Intercept                  -1.161e+04   1.07e+04     -1.087      0.287   -3.35e+04    1.03e+04\n",
      "num_active_releases         1889.9295   1077.810      1.753      0.091    -321.554    4101.413\n",
      "spotify_playlist_streams      -0.1624      0.042     -3.837      0.001      -0.249      -0.076\n",
      "spotify_active_streams        -0.1821      0.041     -4.439      0.000      -0.266      -0.098\n",
      "spotify_passive_streams        0.0979      0.026      3.717      0.001       0.044       0.152\n",
      "spotify_collection_streams     0.0909      0.038      2.387      0.024       0.013       0.169\n",
      "spotify_total_streams          0.0067      0.005      1.311      0.201      -0.004       0.017\n",
      "apple_active_streams          -0.0074      0.229     -0.032      0.974      -0.477       0.462\n",
      "apple_passive_streams          0.0469      0.187      0.250      0.804      -0.337       0.431\n",
      "apple_collection_streams      -0.0246      0.121     -0.203      0.841      -0.273       0.224\n",
      "apple_total_streams            0.0149      0.047      0.314      0.756      -0.083       0.112\n",
      "amazon_total_streams           0.0860      0.737      0.117      0.908      -1.427       1.599\n",
      "pandora_total_streams         -0.3986      0.101     -3.963      0.000      -0.605      -0.192\n",
      "shazam_total_streams           0.1192      0.136      0.877      0.388      -0.160       0.398\n",
      "alexa_total_streams            3.0553      2.275      1.343      0.190      -1.613       7.724\n",
      "youtube_audio_streams          0.0034      0.001      3.044      0.005       0.001       0.006\n",
      "itunes_total_downloads         1.9462      0.307      6.332      0.000       1.316       2.577\n",
      "amazon_total_downloads        -9.7365     12.063     -0.807      0.427     -34.487      15.014\n",
      "google_total_downloads       -24.7742     35.196     -0.704      0.488     -96.991      47.443\n",
      "fb_likes                      -0.0002      0.012     -0.018      0.986      -0.024       0.024\n",
      "twitter_followers             -0.0064      0.021     -0.310      0.759      -0.048       0.036\n",
      "youtube_subs                  -0.0504      0.034     -1.480      0.150      -0.120       0.019\n",
      "wiki_pageviews                -0.0309      0.057     -0.544      0.591      -0.147       0.086\n",
      "insta_followers                0.0507      0.024      2.086      0.047       0.001       0.101\n",
      "==============================================================================\n",
      "Omnibus:                        4.483   Durbin-Watson:                   2.031\n",
      "Prob(Omnibus):                  0.106   Jarque-Bera (JB):                4.167\n",
      "Skew:                           0.297   Prob(JB):                        0.124\n",
      "Kurtosis:                       4.299   Cond. No.                     5.35e+17\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
      "[2] The smallest eigenvalue is 2.83e-19. This might indicate that there are\n",
      "strong multicollinearity problems or that the design matrix is singular.\n"
     ]
    },
    {
     "data": {
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vkvTd/GUkCIJgydOOxSjM7A7gjpJ9p1WwHdoePtsSZB8E/iLp97mdvYBLSTqv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\n0M/nBITd5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1deb1310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c01ed90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/4Ncj7P8+4Cpl1fb/NSLWlun3y4i4Nz0/hmyl27vT798G3JPee5uk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\n1vAcrMzMrOH9/5zaIGdNTsjkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1bdb2890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d5d8e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c2b3390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c0d0410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HJ7I+7NZQR0dXF5LYraGerZ1ddHZ10dH/LhJA1vs55dD9ty+uWtpbOWbOFGbt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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a12e6bed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run cat0.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "cat0_logs.py:28: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_total_physical_rev\": np.log(myds['PHYSICAL_GROSS_REVENUE']),\n",
      "cat0_logs.py:31: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_cd_revenue\": np.log(myds['CD_REVENUE_UNITS_SOLD']),\n",
      "cat0_logs.py:33: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_spotify_active_streams\": np.log(myds['SPOTIFY_STREAMS_ACTIVE_DISC_TOTAL']),\n",
      "cat0_logs.py:34: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_spotify_collection_streams\": np.log(myds['SPOTIFY_STREAMS_COLLECTION_TOTAL']),\n",
      "cat0_logs.py:35: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_spotify_passive_streams\": np.log(myds['SPOTIFY_STREAMS_PASSIVE_DISC_TOTAL']),\n",
      "cat0_logs.py:37: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_apple_active_streams\": np.log(myds['APPLE_STREAMS_ACTIVE_DISC_TOTAL']),\n",
      "cat0_logs.py:38: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_apple_collection_streams\": np.log(myds['APPLE_STREAMS_COLLECTION_TOTAL']),\n",
      "cat0_logs.py:39: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_apple_passive_streams\": np.log(myds['APPLE_STREAMS_PASSIVE_DISC_TOTAL']),\n",
      "cat0_logs.py:46: RuntimeWarning: invalid value encountered in log\n",
      "  \"log_itunes_total_downloads\": np.log(myds['ITUNES_TOTAL_DOWNLOADS']),\n",
      "cat0_logs.py:47: RuntimeWarning: divide by zero encountered in log\n",
      "  \"log_amazon_total_downloads\": np.log(myds['AMAZON_TOTAL_DOWNLOADS']),\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AxesSubplot(0.125,0.125;0.62x0.755)\n",
      "(<matplotlib.axes._subplots.AxesSubplot object at 0x10d4e0190>, <matplotlib.axes._subplots.AxesSubplot object at 0x1a1db577d0>, array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1a1d50b510>]], dtype=object), array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1a1c6e2ad0>]], dtype=object), array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1a1d9849d0>]], dtype=object), <matplotlib.axes._subplots.AxesSubplot object at 0x1a1dcfda90>, <matplotlib.axes._subplots.AxesSubplot object at 0x1a1e3d4290>, <matplotlib.axes._subplots.AxesSubplot object at 0x1a1e421650>, <matplotlib.axes._subplots.AxesSubplot object at 0x1a1ec39050>)\n",
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                rev_log   R-squared:                       0.531\n",
      "Model:                            OLS   Adj. R-squared:                  0.527\n",
      "Method:                 Least Squares   F-statistic:                     126.9\n",
      "Date:                Wed, 14 Feb 2018   Prob (F-statistic):               0.00\n",
      "Time:                        14:46:33   Log-Likelihood:                -2713.0\n",
      "No. Observations:                2373   AIC:                             5470.\n",
      "Df Residuals:                    2351   BIC:                             5597.\n",
      "Df Model:                          21                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==================================================================================================\n",
      "                                     coef    std err          t      P>|t|      [0.025      0.975]\n",
      "--------------------------------------------------------------------------------------------------\n",
      "Intercept                          7.7184      0.091     84.899      0.000       7.540       7.897\n",
      "log_total_physical_rev            -0.0935      0.084     -1.114      0.265      -0.258       0.071\n",
      "log_num_cds                        0.0796      0.114      0.700      0.484      -0.143       0.302\n",
      "log_num_active_releases            0.2218      0.024      9.101      0.000       0.174       0.270\n",
      "log_cd_revenue                     0.1012      0.104      0.976      0.329      -0.102       0.305\n",
      "log_spotify_playlist_streams       0.0124      0.010      1.261      0.207      -0.007       0.032\n",
      "log_spotify_active_streams        -0.0420      0.026     -1.590      0.112      -0.094       0.010\n",
      "log_spotify_collection_streams     0.1514      0.037      4.080      0.000       0.079       0.224\n",
      "log_spotify_passive_streams        0.2519      0.047      5.404      0.000       0.161       0.343\n",
      "log_spotify_total_streams         -0.3133      0.066     -4.740      0.000      -0.443      -0.184\n",
      "log_apple_active_streams           0.1394      0.035      3.982      0.000       0.071       0.208\n",
      "log_apple_collection_streams       0.4007      0.063      6.408      0.000       0.278       0.523\n",
      "log_apple_passive_streams          0.0683      0.016      4.215      0.000       0.037       0.100\n",
      "log_apple_total_streams           -0.5923      0.073     -8.167      0.000      -0.735      -0.450\n",
      "log_amazon_total_streams          -0.0025      0.014     -0.180      0.857      -0.030       0.025\n",
      "log_pandora_total_streams          0.0145      0.005      3.149      0.002       0.005       0.024\n",
      "log_shazam_total_streams           0.0188      0.005      3.518      0.000       0.008       0.029\n",
      "log_alexa_total_streams            0.0659      0.011      5.981      0.000       0.044       0.088\n",
      "log_youtube_audio_streams         -0.0031      0.004     -0.715      0.475      -0.012       0.005\n",
      "log_itunes_total_downloads         0.1186      0.009     12.551      0.000       0.100       0.137\n",
      "log_amazon_total_downloads         0.0316      0.016      1.965      0.050    6.21e-05       0.063\n",
      "log_google_total_downloads         0.1221      0.011     11.592      0.000       0.101       0.143\n",
      "==============================================================================\n",
      "Omnibus:                      365.711   Durbin-Watson:                   1.651\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              792.218\n",
      "Skew:                           0.900   Prob(JB):                    9.38e-173\n",
      "Kurtosis:                       5.184   Cond. No.                         294.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
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4jT+HYAOHm1n6A1AENfL+RiGpq5ktjxPIZgAHxPFuZyNhwQ7fSH4AsxnudOPaGg33XzMY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\nWWY2tFRlS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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1bc66e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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geevxk4a4NbWp2F/wtTx8l3fJ5zzniOSr94Vb1w46BJNR7FBMqUM2pb62gy3o\nlvv+FUw86E33Szzo3NPFT1a/yPfu3cioZJKu3lTZv5J7K9zLMUpfwOW9rS0H39uv3r6h3/3JRDQ5\nar557cY3N47IzLiBqEdUBS/v6P+rfqDyka5zTxf3P/Mq9z/zysFfdfl+wX/5nNl0bN9/sE6tD98V\n6iHkniOSr15Xr/PT1S8W3VMqdiim2Hr5Xtsv3LqO+595td/wWnaP6cNvnpH38Zoa7OB8apn6k8Y2\n8dm3n5i3fjqV5va1m7n/mVf51t2/58//8dd8c+UzdPX6waG3wabNGSrltOKmRzbRvnV39N4n+39G\nelLOnKnj+cZFc2lqSPC6UUmaGhJ846K5ebP6RkJm3EDUI6qCxzftKKm8WPl+OQ/0azr7HIu45rda\n1rY5a6Gx6BffN8L5INm/4Ndv7r842OsnjanpX4aD9RCSZmzYsgtwunp7+91/zaqNGE53ioPPMfs8\nloHer1I/C7nyJTd09ab52I8exRLw9Qvn4nCwx7S/pxczy/ulCvDmP5rMyzsP8Oar7gGH3pQz86gx\n/P6V/KcsdKfhitufGrCNw1lmCPLyd88mlWc+z8vfPZtJY5sK9mLrbRFDTXpahFInPT3zm/fxTJ5/\nwBOPGsPdnz2trDbkG0ZxYFH2LMHnHFotMjOFCUTnQzQlDUtYWUNbxXzBFfpifPNV99CVM1bS1JDg\nt5ed3qdevgkz7/jkWzjnuw9UZCLNw52RuZDlbZv5bFagzdWYNEY3JNnX0zvoSZEQPb902mlMJgpO\n1JlvldDOvd0Hh7XyDbNl/yjZsvMAm7fv4/LlTxacHy1p0JC0fu+dlGZ0Y6LPsuClTL46EuaT06Sn\nAzCzBcC/AkngOne/qpKP/8ruAyWVZ6x5rpP7N77GW2dN7nMsqdAxhrTTZ3z5S79cT3NjkrQ7qXS6\nz5djV8oh5Xz+52vZtrebk6aOp7Eh2eeLOdNzyu5BPdD+GotuXUvSEqQ8zdcvPHR2e+eeLjZs2cVD\nf3iN6x98rs+X4PyZk7n36VewPCPs7vTp1RRKPd7bneK9rS3c+NCLB8szY+/FyJ5B+cpfPVlUynHu\nP3/27e17u3mg/TUmj23iTX8UvT9HvK6RhBU+itCTcnpS/XtDhWSCbnfq0ESdG7fu5o+PGUdXb4qT\npk7Iu0poRqbn9Zmb20iY0ZtK8e1fP8Pz2w6UdKwj5ZBSEDpsjYkEJ02bwIOLTy85qNTTYnl1F4jM\nLAl8D3gH0AE8ambL3X3w+UGKtGN//uy4QuUAF1/3MA+0dwJwzap2/mLmJH78sVOB6Ivac87MS6U9\n76/w/flOnsjSnXKuuD16qg3IXPLFAAAO30lEQVSJKChgRtKi+xJAmkO/zA+N00eP+5mb2zjidY1s\n2rafryxb3yf9NftLsCGZoCFhHMjTyO5Umkef62Tn/h6mThjNzv09eVJx0zy5ZSc/Xf1in/Jb1nRw\nyakz2LJzP7v29zC+eRRTJ4xmb3eKnt4Uz3fuY970I9jw0i4WL11HQ8IOrqCZHeh2d0VtzQyFbdl5\ngFVPbeWnj2yiIWF0p9LMa5nA45t20BAmxsz3tZww+p00WWk/eqj0DLCU029qGYWVoZc5tlNPQaUc\ndReIgFOAdnd/FsDMbgLOAyoWiEq15rnOg0Eo4zftnax5rpPWcOJb7lnjA83yW6yDj+FOJnxligqd\nWZ5yWPjjxwY88zz6NZ1moJSCf7zz6YPX832Zd/Wm+eJt68nnnf96f79hrqTRJyhmhiuL8c5v399n\n28zpXmtejI7ppQYYU6t2EJLhq6lhZMx6MBTqMWtuGrAp63ZHKIvNd1a1D1i+ZefAQ3pD7XCmP8mn\nlC/zAz3pvMdachOsig1CB3rSVTupUerPmKYkTQ3G595xIr+97PSaOdWg1tVjjyjfAiP9vorMbCGw\nEOC4446raoMGP6akb8qMZIKiDvoXKzMUKTKYpgYDrN8wcua8sS+ffShZSL2g0tRjIOoApmfdbgG2\n5FZy92uBayHKmqtmgz54ynH8w/L+I4MfPCUKgHOmTsh74pt7/uNEI9WoMEll/3krCtUfeNVMiALb\nABnYUscymYPZSThAn7TqL58zm5OmKvgcrrpL3zazBuAZ4AxgM/Ao8Nfu3v/056DU9G2AGZf9ql/Z\n81edXbD+3Cv+i50HDiUaTBidZO0VCw7eXt62mS9kpWp//cLonyJTti9nHrtjx49i+/5ePO10pZxR\nSSPtTjoNjckEaU/zjjlHs2L91j5DU43JKM/tmAlNvLjtUE8tYdFxl0zG2YHeFOl0tERyV2+aRCI6\nb6Yr5YxuTNDTmybtfftyCYuSI3I/cbnHiPLVa0jAN987D4DP/Xxtn6AM/Y8RXfKm4/jUGSfy09Uv\n8t17N2Jm/YYUL3nTcbS+/sgB069l+EsYjB2VZFdX/0Se6AcdnP3fjuHO9S8f/FxlPm/5zvEZCWnV\nQ6XY9O26C0QAZnYW8G2i9O3r3f2fBqpfTiCCvsFooCCU8Z+/fY5l617ivJOP5eI3H9/v/sFOYmx7\ncTt3P7mVM2cfzRmzj8l7QivQLz05c9Ll1AnNfU6kzKSTz22ZwORxo/ttn+967r42bNkVstsamTN1\nfL+y7Iy39Vt29UmNzt02+zlv2LJzwKy5mUcfmuk8+3V4+uXdvLani7fMnHywTuY1yOzrdY0J1m/Z\nRW8qTVdvmkljRjF14uuYOmE0W3Ye4Pcv7+KFzn0Y0LFjH0c0N3LsEc107u5ibccOjho7mt6007m3\ni+ZRCY4cM5qpE5r47R862XOgl7TDqMYE3T297OlOMa6pgcZkkt1dPRzoSoMdmqZmzCjo6YWuERwo\nmxuIUuDNSVr0w2bMqCQzJo+lc28XqRT8+fFHcs7Jx7Jp+z6aGpIY8MzW3by6u4sp45oY39zIa3u6\nmTN1PLOOGsv6LbtoakgwbWIzc6ZOyPt5zj3RO/O5AuvzeZPyKRBVULmBSESknhUbiOoxa05ERGqI\nApGIiMRKgUhERGKlQCQiIrFSIBIRkVgpa64IZvYqUO7aw5OB1yrYnGpTe6tnOLUV1N5qGk5thfLb\n+3p3nzJYJQWiKjOzNcWkL9YKtbd6hlNbQe2tpuHUVqh+ezU0JyIisVIgEhGRWCkQVd+1cTegRGpv\n9QyntoLaW03Dqa1Q5fbqGJGIiMRKPSIREYmVAlGFmNkCM/u9mbWb2WV57m8ys5vD/avNbMbQt/Jg\nW6ab2b1m9pSZbTCzT+Wpc5qZ7TSztnD5ShxtzWrP82b2RGhLvxloLXJNeH3XmdkbYmrnH2e9Zm1m\ntsvMPp1TJ9bX1syuN7NXzGx9VtmRZrbSzDaGvxMLbHtpqLPRzC6Nsb1fN7Onw3t9m5kdUWDbAT83\nQ9TWK8xsc9b7fVaBbQf8DhnC9t6c1dbnzaytwLaVe23dXZfDvBAtJ/EH4ARgFLAWmJ1T538B/zdc\nfz9wc4ztPRZ4Q7g+jmh9ptz2ngbcEfdrm9We54HJA9x/FnAX0Qq8pwKra6DNSeBlonMpaua1Bd4K\nvAFYn1V2NXBZuH4ZsCTPdkcCz4a/E8P1iTG190ygIVxfkq+9xXxuhqitVwCfL+KzMuB3yFC1N+f+\nbwBfqfZrqx5RZZwCtLv7s+7eDdwEnJdT5zzghnD9VuAMM8u3bHnVuftL7v67cH038BQwLY62VNB5\nwI0eeRg4wsyOjblNZwB/cPdyT4auCne/H9iWU5z9+bwBOD/Ppu8EVrr7NnffDqwEFuSpV1H52uvu\nd7t7b7j5MNFKy7Er8NoWo5jvkIobqL3h++m9wM+q3Q4FosqYBmzKut1B/y/2g3XCP9BOYNKQtG4A\nYYjwvwOr89z9JjNba2Z3mdmcIW1Yfw7cbWaPmdnCPPcX8x4MtfdT+J+4ll5bgKPd/SWIfqgAR+Wp\nU4uvMcBHiHrD+Qz2uRkqnwzDiNcXGPasxdf2L4Ct7r6xwP0Ve20ViCojX88mNx2xmDpDyszGAkuB\nT7v7rpy7f0c0pDQX+A7wy6FuX4757v4G4F3AJ8zsrTn319Tra2ajgHOBn+e5u9Ze22LV1GsMYGZf\nAnqBnxSoMtjnZij8G/BHwDzgJaLhrlw199oCH2Dg3lDFXlsFosroAKZn3W4BthSqY2YNwATK68JX\nhJk1EgWhn7j7L3Lvd/dd7r4nXL8TaDSzyUPczOz2bAl/XwFuIxrKyFbMezCU3gX8zt235t5Ra69t\nsDUzlBn+vpKnTk29xiFZ4hzggx4OWuQq4nNTde6+1d1T7p4GflCgDbX22jYAfwXcXKhOJV9bBaLK\neBSYZWbHh1/C7weW59RZDmSyjC4EVhX656m2MPb7Q+Apd/9mgTrHZI5hmdkpRJ+VzqFrZZ+2jDGz\ncZnrRAeq1+dUWw5cErLnTgV2ZoaaYlLw12QtvbZZsj+flwLL8tRZAZxpZhPD8NKZoWzImdkCYDFw\nrrvvK1CnmM9N1eUcq3xPgTYU8x0ylN4OPO3uHfnurPhrW+2sjHq5EGVtPUOU+fKlUPY1on8UgNFE\nwzTtwCPACTG29S1E3f51QFu4nAX8LfC3oc4ngQ1E2TsPA2+Osb0nhHasDW3KvL7Z7TXge+H1fwJo\njbG9ryMKLBOyymrmtSUKkC8BPUS/xD9KdLzyHmBj+HtkqNsKXJe17UfCZ7gd+HCM7W0nOqaS+fxm\nMlKnAncO9LmJoa0/Dp/JdUTB5djctobb/b5D4mhvKP9R5vOaVbdqr61mVhARkVhpaE5ERGKlQCQi\nIrFSIBIRkVgpEImISKwUiEREJFYKRCIiEisFIhlxzGxP3G3Ix8xmZE+3X+J2f11EvXmFlhjIqXea\nmd1RjTaIlEOBSKT2zQCKCQL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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1dee3b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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l+TagmZlVnouVmZlVnouVmZlVnouVmZlVnouVmZlVnouVmZlVnouVdVuSXtpL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1db571d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d4e9d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c1e0450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1c1e0850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BTeNxLHnVWZtyr6DETrSfZUsgrMsbD8vADSt3ICTLmF5WgNagecy/+eFwzLlg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\nDBwOh8MB/D/UPQz/0jkT2wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1d9d3850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NRjyu+M3XP0zz2wdSUmrMnz2JKQ3DCvot699//hSiJnocmAH8DlgK/FEp1fNv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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1e3de690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3ik1hfZExpjR3sMyor73iRykdC0o14ejL85rZhytOa/VUhR3WHCYSzE70tnX3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\nURRFAf4/RtmFvVwT1SAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1dd8b150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VQkjWbj6m3GbcpdZ39xYKqVsu1EDu5N7nc6zkc+3oiuL6Je+keAXZEdV0PPd2\nK5568z1puut04mlLhZgmsPfgsRQPo9ZDXWja14G7VjXnTF2RLmQsNCFw87+Mw09f3J7xWU1IRdzM\nw8TkhxuhsA7Aj4lotBBiDhGdDuATQohVHvWtx5TjjLtc9d3lSCF0y4UU4rnufU+OZZ2rzPXTjkhc\nxxMb97g6h3R++Mw7AIAvfGoYXm76wFw9ODu+TCAECPj21DHY/n6mEbomrOKLE0dg+duteGTdLjz0\nWktZvPN+w02ai9/AiEX4rPl3K4D/W/AeFYhyTTvhd313JZNPDqdCVo7Lde8LcazkMp19QirCAQWX\nTBjquq9OienGz8ot7yOqCccCwY64AB5+bRd+/05b5meawPK39yISl7/znKPLGW6EwmlCiHsBxABA\nCNEFH5fjLNcyj1z8ozQUMlFdvkI8170v1LEEACF0aJqAEDomjhqIoJrza77nsrNGIKSmnoj1znOO\nLue4UR9FTe8jAQBEdBoA34rccp5xsy91cempWqaQRuts9762bxjzZ2bWCHBzrPbOCG5a2gjDrmuc\n609f2m5WStMRUgkCApoGSZLu3IRUAMidErvQBBTgK58egd+/kzrYW9HcbKdzjiOhQEbmul/B8Dwa\nRURLAEwF8C3vutYzrJf1lmVboJICTZRX9CL7UhePQiWqK5QQt7v3Kxr3YeGqbQgm1QjIpS9PdrQA\ngBe2tEHm6GN5IkU1gaCSn0AIKIQXv3cu2jq68c3H38zqYBpUCQqQSMfdU3Qd+Prjb6bkX7IE9NGo\nxnY6FzgSCkIIQUTfB/B5AFNgqI2+L4Q44GXneorxuJFZI863mi6mxBRiVem1EJdVXlu4ehtmTBhq\ne9xkR4vuuAYhBIKStNXpOE1VnU5AJbR1GFplRSFpGgwLhSilVGZP0WFEVP/vm3vx1DWTEQyoWfMq\nlYvWoBS4sSlsAnCqEGK1EGKV3wWC9RJF4jqORbVECmE2MjHplIMdJ5eNLN2Imu5oEdME4jrQle+I\nnzim/WfdMR3X/LYB1z35VlaBAABfnDQM5ME8LaoJXPnrN7Gn/Wji/pXD/fUTbmwKFwD4NyLaA+Ao\nzPm3EOJMT3rWQ+wMyrxkdEa5xXf0lHxVQMW6TnarmZqQigde3YmH1u5ESFUTKpOTa2tsy3fmQ8AU\nBrkm98mpsrPx+7f3ZURA26HmWHVk9EFSQ4LtdM5xIxS+4FkvPKAmpKYstQFjJlMTqgA3C48px/iO\nQuBWBbRk0x7cuWobQqoRZOXldZIZtGefPRKXPLg+YQ+IxI+np1h1wzTH8QhOKKCmx9X+FAKEC4Fg\nIbMZsJ3OGW4S4vUsiqXItHVmR81mAAAgAElEQVTIk7e2dXRnzcVSTPw4G+eIamdYdYABIGoGBxfq\nOtk9F8mz3ZqQiksefEMaFRxUFByNagkhoms6nIQHGNlHdaNiWtpuA0rhBYMTdGF4NNlky7CFbQb5\nU8gazb7CKFfovL3Y+NVvulzjO4pJe2cEd0qyeqoK9fg6OX0ulr/dapsmwlIrDewTwh0z6+BkPA0H\nCN+dNsZIdR3IXE2XQiBY2AmEiz55IkI2hvP5M+t4EpMnnpbjLCX9q4Ou2ouJn2fj5RzfUSxaD3Uh\nmJbTHzBy/fTkOtk9F3XD+uNoVEPTvg4sXL0NKtknmguphNlnj8SM/7fO8UCuEnD7zPFYuHpbSjnM\nlP0qcLTaKCav7/jINh7iYGevLgTZIyp2pTB8QJWr9mLi59k4e2rkZuSgamiSBHELLu3Z7FT2XGhx\nHTMeeANfe2Qjbnu+Cd0x3VYgqAQAAk+9+Z6rmX1AVTDqhD4Zx06GFMJ/fOEMhAIKqoMKVMWIS3DL\njPEnFSwNQrYAuf/+0w72NMwTT1cKRPQ4gJkAPhRCTDDbrgBwB4BPAviMEKLBi2MfjWqoCiopxuaq\noGL7QhUTv8zGneiu/WTv8AvJRl+VCDHNCCS7avLJrveVfA+kz4UAoAnEHQR5aQJw4PiTQUhVcLgr\nhkjc/ssxTWDogCpsvHV6or8bWg5g7vKtiGtCmrzOIqgSrjh7JMbU1uBnr+xwUDWh52gCaG47zPUU\n8sBr9dETABYBWJzU1gTgKwD+x8sD2w2wflCD+KG2cS4PI/bUyE4hBKfsHsy/pC5hwHZCdVBFV6xn\nE51jMQ0/WtqYNTu2LoBblm3Bn2+9EBNHDQRgXIO6Yf3x+f9el3X/T18zGacM6Yup96xxFbCWXsnN\nPcVNtVEpeCoUhBDriGhMWtvfAIC8iFxJorZvGKNPqMaO/UcTbSef4J9Zb/qgAgBb9n5clJm5n20a\n5URPBKfdPXjkG2ejb1hFZ8R+oK8KKhACuH1mHUadUI1rFzfkrE2QDU0XjozRKmW6eb7Y9EHOgfvK\nxzbjxumnOynJkILd9iE1d26loEoYP3yAuwMyACrYptDwj/YUgQAAf99/FA3/aC9RjzKp7RvGxFED\nsb7lQFE9kfxs0+gt2N0DQF5YJpnumA5N19GvKoDxwwfgO9NO8bCnx9FEqoqzvTOCB9fszPm9qCZw\n/ys7bI3YdsiugkpAQFEQUsm0oaRSHTTSgX9v+umujsUcx9dCgYjmEFEDETV89NFHrr77cvN+V+2l\nohR1H/xi0+hNpKehkN0Dq7zk/Jl1CAWyv5pxHbjp2S347N2v4rE3/pHxuRcv9u2Xjk9ZJTS3dSBW\n5GyomjDUXVFNQFEI4QAlHCJ+8qUJ+PfzTwMg8Mi6Xb5y9S4nfC0UhBCPCCHqhRD1Q4a4MxiNHVLj\nqr1UlGLWzh5GxUUWe5B+D4xU2DquX/I2Fq7ahpsvGoeQbCqcREwTiMSFdGDWAcw5d0zBzqEmpGLC\n8AEpwu1wV+6Snj0hl3dTUFVw/xWT8LtrJmPDvOmYMWEofvlaCyJxUVaFtfxGxcYpXDR+KH78XFPK\nEpTMdj9Rqlk7exh5T3tnBM1thzF3mZGYMd1+Y92D5rYOwy6gAUcixkD78z/twIJZ47Fw1TYoRDiW\nh9dcZ0RDdYDQ1QN7g4UmBJr2deCrj2xMZF3Ve2YFzkpAIVx77il4fMPuRKS1pusprrbHohpuerYR\n910+ERNHDcSWvR9ziuwC4OlKgYieBrARwCeIqJWIvktEXyaiVgDnAFhNRH/wsg9+p5SzdsumwS9M\n4bFWB9c9+VaGLj15JVjbN4wB1aGMimEqEcKqgh99bhzimo58UnY929DqWiDYDQj/Wj8Kd63alpJ1\n1UvNUVwXWLxxD3Qh8PVzRuPPt07Hz2dPMosBHScSF4nVAKtFC4PX3kdfs/noOS+PCwAb323PMFQJ\ns33mxOFeH94VPGuvLGS1D5JJH6hGDqrOiI4+GtWwYGVzj+JqYnnM5O1MwU+9+V7Rq6lZ5/7wa7sw\ncmAfXDXlZGx7/zB+9fqulO0sITtx1MCSu3pXAhWrPjpgo0e0ay81HBfgH3qaqFBWyQ0A+oRU6EJg\n/sy6lJXC+pYDUrdOPwRaWhRbIKRzx8omTD7lBPxmw+6Mz6KalhCyPMHqORUrFKaNHeyq3U/4MXtq\nb8FN2nC7+yRTY4QDhF99/SzsPdhlltQ09OTfmToGj2/YXRAvHoJ/wrXOHNEPW/cdcby9USHanpgO\nPPx6C1SJ8fmGC07nFNkFpGKFwtiT+uHcsbV4o+V4XMK5Y2t9kzbbjkqvZSAbSP0iBHMlpEvun3Wf\nAooRSLXg0rqUNBfXnz8Wi9IK34wfPgBznnwrZf8Pp6lCeoJaovTW6SiAK4EAOKsJvfzttoy2cEDB\nlZNHuzoWk52KFQrtnRH8Zc+hlLa/7DmE9s6Ib2cRXkQa+2XABeQCTwC+EYJ2ap+LH3gD4cDxwX3q\n2MEZNoPbnmtKTNOtwjsAYc55p+LKyaNR2zcs9Y6RoZKRhltVyFX5zHBQhR7RClRrLX+KdfxwQMF9\nl7PNoNBUrFBoPdSVUbFJ6MLX7mmyQaknLnV+WnXIBN4ty7YAIKm7ZqHukRuhKFP7WAN/VDte1eyR\nb5wt9aG/fWUTzPizROGdB9e24JxTT0gUxslWDa06qCCm6SCiRGpuN8VtNF3g1i+cgZ++tN3ZF3xK\neiJLO743fSymloE6uNzwdfBaT6gJqYik6WkjmvB1Oc5CutSVIlI6G7IgPZWUDB1xIQP33BYySncP\nDgUUhNXM/gHy3DuaZByLxnVc/j+b8NVHNmLmovWYXT8yw63SIqbpEMIISjsa1WDlucsVxBVWKeHK\nPOefT8N/fOGMrNs7wdvMZPaoCuHGC8Y6ek8fXNPCUcseULFCIVs5Tr9SyJgFv+U3kgk8TegZBdkL\n5Veer1CcNWkENsybjt9dMxkv3jgNlDYgRzUN44f3x4JL61z1pzumozumY2lDK5Z89zOQjfNxXVIG\nU1VgZz4+7/RaLPrap/HoN/8JG+ZNT6wCu3toWBhQpZbMYK3pAv/96s6sabwtuuN6ySc7lUjFqo/8\nXo7TjkK51BUzkMeJisYuXTgAT/zKe6KKS/ZeufeyM/GjpY0JFY4ugA0tBwyjsgDufKEZQVVBXBcZ\nEbcygoqCprYOxymhs6lR1u1sx1t7DiGuA1/7zCiMqa3BhOH98f/+tMPZzm3o6C6tK2xMEwiqhHAA\nCUP97PqReOYvrQCQEQyogLh2QgGpWKFwpFs++Nu1+4lCuNQVq2aDG7uFncDzwq+8UEJx6tjBUBUF\ncXNfMU0k7B5XTTkZMyYMzSg6owA4liVwbXBf59X/VMpcPSRz1KyR+cSf9zjeZzkQCih4+KqzMKA6\nlHgurp4yButbPsJPX/xbSt3mYzEN1y5uwH2XV5anXqmoWKFgl6bXbfrecsbrQJ58vKVkAs8Lv/JC\nCcXWQ10IqUrKc5O84kjue/L1bmrrwMJV2yB0gYgmUBU0VHnzZ9ahf3Ug52BvUeKYsZJxNKJh+/tH\nMPnUWgCpkw8BgkqpaTYicZ1rghSIihUKhQxe85Nbp1u8DOQptLdUoSmEUHS74rCu98RRAzFj/NCE\n19HRqIamfR2JwDVFIeiayKm7DwcUCCEQVP1RSraY/PSl7egbVhHTdOimAd561kIqIZTmsuunZ6+c\nqVihUCj85NbpN8ohAVlPhWJPVhzJx27vjOCrj2xMWVU5QQB46prJePSNXfjDtg/zPY2yxa4CXTCg\nIBb397NXrlSsUFjfcsC23WlUM5etzI4fak0Xg0KsOOwC43Ix/RNDcNWv3yyZ2lNVjLKYHmbJzgtN\nF1hw6XgsXL2top+9UlCxQmGwzcNh1y7D7+oRP9BbEpC5XXGkqxxlqyonlLpSoCz2ohSoZLjnhtTU\nFXuyoV92f8pZ9VsqKlYoDO0vfwDs2mWUg3oknVK8BL0lAZnTa2uncpx/SR1ue76piD2uHIiA22fW\nYcKIASnXP9uzx6rf/KjY4LXd7cdctcsot7KVyRG8n737VTz46k4O6rEhvWZyru2WbNrjKDo6W9Dc\nhBEDUGUTzaxW7JtYGOI6cNeqbehwGGfkt4j+cqJiVwqTRg101Q7IZ4JO1CN+WKLK7B/3v7IDi9a2\nsP92Gk5nkMmZUC2DZy7bkp3KsbmtAwBBF3LlvF/UNH4mEtdx3ZNvQYfIOetn1W/+VKxQGHtSP0wb\nW4v1DlNnZxsoymGJamfI9JP/tl+Fp+z65KqeZjfASJPqxY3gqpBqFNnxU90Dv2ElAAwHFKlx/ZiZ\nECrXM12Oql+/ULGL1vbOCDbuOpjS9uddB6XLx3yXmn5aomYzZJYy55GF2+R0XuE0J5Rsu2TsBpja\nvmHMrh+Z0hbXBCJxgSOROOJ66ZLN+R2VgLu/cib+9MPzsPTfzsFPvjQBVUEFfSTJ8YzV12FbFWC5\nqX79RMWuFDa+256RbE3ThbRGc75ptou9RM0207ZegluWbUEk7k2SuXzxk2uvTHhGND0jK6edkK0J\nqdCEsB1g2jsjWNrQmtKWviroTZqiXBXVktGEod61VvMTRw3EjAlD0dzWgWsXN6Q8112xuLn6ylyh\nW+/J1LGDsWHe9JKvTssNT1cKRPQ4EX1IRE1JbScQ0StEtNP8f5AXx3ZToznfNNvFXKI6mWnPmjQC\nf771Qtx00TiEA/6ZIbnN2OrUCJwPyTNIK/UECYGZi9anXFPZTPMnX56Ap66dkpKRNL3PzW0dWVcY\nvQ0BSDPCygiphMa0+17bN4zzxp2I+y6fmLgX4QCByKjDkb5CT39PNrQcwMRRA1kguMDrlcITABYB\nWJzUdiuAV4UQdxPRrebf8wp94AnD+ztuPxrVMgp7VAVzpxUoVvCWm5l2bd8wbrzwdFw5ebRvZkhu\nhGcxbDSzJo1A3bD+uPiBNwAYEwAkJbpz42SQ3GeVCFFNg40tuVciAMfXI6oJLFjZjP9c0ZRx35Pv\nRUdXFNcveQcxs/ARcNyY75cVaTnjqVAQQqwjojFpzV8EcL75+28BvAYPhMIHh+WzTFm73czeyYy/\nGMFb+aip/BQ74FR4FlPNdDSqZej2ZSrDXNfRziDtRm3S20mekFkTMdl9t+5Fe2dEOskAiD2OCkAp\n1rknCSHeBwDz/xPtNiSiOUTUQEQNH330kauD/O39DsftPTVKWQnQvHrwKsGTIrl4jUz9AhS3MFBP\nK/MdVxcdhkqZ+hFVIYQcBB8QgC9OHGZbja03ENN0hNJOP9t9t3tfxw/vX/bviR/wtaFZCPEIgEcA\noL6+3tWivE9Ifmp27X5O11AINZUf3EGt41ovuxN3Tq9e6qNRDeEApRgvwwFnmUhXNO7D3GVboJJR\nZyHdoQEAFIXwnalj8Ogb/0A8S+IgAWDFlvdx3tharEtyn+5NaDqQftVz3Xe797U35OLymlIIhf1E\nNEwI8T4RDQPgSerHyaec4Kod8IfKRTZ4t3dGcHJtDVbdMA1Ho5rrgd0vsRS5+lHMBHtN+zoyvLQi\ncR1N+zowMUeA402JSmzGUCazo0biOh57YxcCCuWsxgagYgQCwTAsu60DURVUoOsC4YDq+L7L3lc/\nT+7KhVIIhZUAvgngbvP/FV4c5IPD8lrMdu1+QDZoCiCjLduglY5f3EGd9qMYL3V7ZwQLV2+TfrZw\n9TbMmDDU9rjNbYczBnm78S+mAzG/pRf1GIH8CwO9+L1zHU16cq16/TC5K2c8FQpE9DQMo/JgImoF\nsACGMFhKRN8F8B6AK7w49h6bHEd27aVGNmjesmwLAMP1Lt8B3S/h/m76ke9L7VRFli2Nde5r07sG\neSdUBRR0u0ztbanuwiqBFMK9l53pKKW9X1a9lYzX3kdfs/noQi+PCxg1Xt20lxrZQKWSkqGbcDug\n+8VI7XU/3AwW2aK/o5p9nwz/eUJQJcR6a51MCU5rPdSEVWi6wPyZdRg1qA8Od8XQvzqI8cP7O3qe\n/bLqrXT8OUIWgPc/lq8I7NpLjWyg0kSmEdPtQOqXcH8v++Ek3UhyQJwsgM0irul4avN7ie+mZ0m9\nfsnbZnlMchyUVenYiUcVQJ+QinBAwU++NAFPXWME/vUNBzDnyQb8+Pd/xbWLG1KudzaK6Z3Wm/G1\n91FP6OiOu2ovNXZGVgA9Nrz6xfjmVT+kqyyFEisqu1XE1LGD0dzWgWt++xdYTkeaOJ5d9ouThuH5\nd9oQVAlHo8a+rWOoJHpUjYzMPmbzTCp3pp0+GBecMQTTxg5JqIbssvk+uGYHbpw+DldOHs1J7kpM\nxQqFUYP6uGoHgJb9R9C49+OU/CvFxG7QLMRAWizjWymMgLLB4mhEQ9O+DowcVJ1V5TCgOoRwIICo\nljpZiMR1LG0w0l5EJaqinmqPBFDRAgEAXt95AK/vPICguh33XzERsyaNsLXnRDVLOLRgwaw6XDX5\n5JTPredq/iV1XILTYypWKERtEtTbtd/+/F+xeNN7ib+vPmc07vripzzpWzZkg2a5eFOUyghY2zeM\n+TPrcNtzqVXNFq7ehlEn9Mlq4K4JqeiO+XP1WCnENIFblhmC2AgatLdBRDXduI8CuGqKIRjSn6v5\nM+swYfgAdjn1iIq1KdTYBKnJ2lv2H0kRCACweON7aNl/xJO+VSKlSiNu6fxHDeqTEY1s6J+Frcph\nReM+zFy0HiSJSLajxtSRq0W2J4QDSlnbMFSFsGTze8b1dpAM6c4XmtHeGZE+VwtXbWOB4CEVu1IY\nMbDKcXvj3o+l2zbu/bgkaqR0/BCNnItSuL4mzyCjmg5NMviPHz7ATCm+FapC0HRx3FYjSTOejYBC\nuO6fT8OVk0fjsfW78PBruwp6Ptlw6uHjV+KajofWtqSch6oYs1JZHaOgetyA7AeX6t5Exa4UGvbI\nB3pZez6lO3uK0/TQfilOk056/4tlBLSO27L/SMoMMhLXQUQIByjDu8kY9oXpJmP8tWTze1KBUBUw\nXE5lk/K4LvDQay0AgHNOHVzQ86pkAgpw4/TTM3JB9QkG8Otv/RP+/Z9PzfiOJgRGDqpm43IJqNiV\nQshmfS9rH3tSP1x9zmgs3phqU/BqleBE997eGUFzW0diNuvEL7tYKwq7/nudoiL5uBFNz1BDVAVU\nPHTVpzGgOpS4Bpb6wRAAhovRzc82gkg+H9IFcM20U/C7Te/hSCTT1mDNUvce9Kdrsx95+fvnYVBN\nKCFQLayV3HnjTsTIQX1w5wvNCKpKRhEjzmdUXCpWKAwbKJ9J2LXf9cVP4eopYzz3PnISgGMNfgpR\nxmzWbulcLCNvtv576foqO2461iCTfFyZWiuqAUFVrjaKagKPb9iNuI0xtDuu4cCRbixY2ST9nMlk\n+dutmDFhGObPrMPCVXLPoaumnIwZE4ZKnx2/uFT3FipWKETj8myXdu2AsWLw2oaQS/eeq2C8bOlc\nzEjPXP33ylNKdlwnSdRGDqrGsWjmjD9bRLKqECRfSXzvu4vfyu8keikPv74LizfugSYE5l9Shwkj\n5J5D2Z6dcvHAqwQqViicXNvXVbtb8lXV5NKR2vlx9wmq0CGvDVwoI6+TcyqVjtcuNYWjJGqEjLDb\ncECBpuvSDKbRuM4ZjgqMlZJ84ept2DBvOg/wPqZiDc3VQfmp2bW7oSfG31zpHmSDXzig4FffODul\nOE2yobcQA7XTcypm2gy71BTJxx17Ur+sBY5aD3WhKpBZOEcIgf+9doo0F1Yhg8pCKuEL423rSPU6\nOC2F/6nYlcLav8vLNKz9+4e4sG5o3vt1o6qxm3ln05Hapbs4b9yQxDYy+0FPjHFu1U/F0PFmS00h\nqzdh15eRg6qhSfziNV2graMbCy6tw50rm6VRyz0hoBACKuFHF43Df724vaD7LmeimoaOrmhC0DP+\no2KFgqwaVrZ2pzhV1TgpKGP3UmQbdO0G8A3zpmPDvOl5DdR+qwGdS0i5vc5WnEKyj7wmgJue3QKF\nDBtCj/NWpKEQ8KPPGQKBVVEGBMO76/ol7yCqabjhgtOz5jpiSkPFqo+qgvJau3btTnGiqnGbtVNG\nbd9wophO8nbZMkVa30meQacfQ9bmN19wp9kwnUZRz5o0Ao9eXY8+afc+pglE4gJdNkb9nqAScM8f\nWCAkI2BccyOuROD+V3bgs3f7J/aGMajYlUIfmwLsdu1OyVUysr0zgrXbP8wo5p48cDt1H12yaQ/u\nXLUNIdXIpnnvZWdi6tjBjgbw5DrCmtBx3+UTpVXcZk0aUdQymE5wKqScrHAs1dLwAVUopvm4y0Wk\ndG8mEte5JoLPqFihYOdyWIjiKHbqHWuwDyiUUQDeGtSyqUYAJPb5ctMHuO15wxfeco+01ES5BnBZ\nHeEfPtOIgKrYVnHzky+4UyGVS3ikC9/Z9SOxtKHVCH6La9B0UWitEZMHyWnO0ymHFC+VRsUKhZYP\nO121uyVdt20XX1ATUhMRmgCkqwgrWdgvX2tJ5PGRBU9ZL08ug+veg8cyXC01AYSyrF5k51RKnAip\nbMJDJnyXNrRi1Q3T8GLTB3hobQuCAYIW0xFSgGh5pxYqCy785BC8+rePMtpjmpCqKrn0ZmmoWKFw\nUn/54GbX3lNkqoyasIo7Lx2PC844EetbDmDqPWukq4ijEQ0PrtmJmCZso3WB1Jcnm8E1YhOgJ0sY\n5+ccMk6ElJ3wsFMttXV04ZevpSZmg6LgW1NG4Yk/7/HkPBjDxvLjGZ/Euh0HMlbrN180LmEvSp7g\ncOnN0lAyQzMRfZ+ImoiomYh+UOj9nzZEHqRm195TpOU0dYELzjB81K0HvDMiH7CdqLUWXFpnu8RO\nNrjK3CuDKmHBrPGoCiqoCasIBRTMnynfXzlhp16Q3Y+opmPXR0eR7qGqEDD9jJMQDpRxbmqf0ycU\nQFtHF4TEPfj+V3ZkxMdw6c3SURKhQEQTAFwL4DMAJgKYSUSnF/IYh47JvXrs2ntKtqAu2QOei6Bq\nZPysCakIqYSffGlCRjUqi9ZDXQikJduvCioIqpSokXv/FRNx1eSTMf+SOsTiOoIKYeGqbQX1/HCa\n+RUwalgsa9ibd82K9s4IHnh1Jz57tzzgLv1+BFWCpuu49+XtGWmou2M6hg+own2XT8zI5MkUBkNA\nE6qDmcqJSDzTe8xvHnG9iVKpjz4JYJMQ4hgAENHrAL4M4N5CHeCYjZLYrr0nWLPVqWMHS2MF7FI0\nJBNQAFVREFKP60+dGn6b9nVIVyAvpaWAaO+MYOHqbYhqAlHN2L5QS3I3+t+eVrmzPKusZIHWIJ9+\nLsl1mK9d3ICIBsQl9yGsGiq9RIptJi9m14/Eyi1thtourkEIgepgIPE8jB/eP/Hc2WGtBiaOGugr\nj7jeRKmEQhOAnxBRLYAuABcDaCjkAbpj8ofPrj0b2TwgnAyGMoNosidMNiGQ6yWwBvp05s+sy0ju\n51UhHDf6X7sqd1dPGeMoGWFqKuxUCMALW/bh0okjUq7fgOoQQqqKSFye5Y4UY0U2b/nWgkc29xb+\n4+IzMOe80zBvxhmJZxhAxvN8wwWn4/5XdtjuJ3k14CePuN5ESYSCEOJvRHQPgFcAdALYAiDjjSWi\nOQDmAMDo0aNdHeNgZ9RVux3ZBn03g6HsAf/+heNcC4F0pAbukIoJwwdkbOvVktyNsOlplTu7hIEA\n0BXTcccLf8NPXjxeKB4wzttuhqrAiDw+GtVs98tkpyasYvIptRntMkeBKyePxqK0CmxAqpdeetoX\nFgbFpWQKVCHEr4UQZwkhzgNwEMBOyTaPCCHqhRD1Q4YMydxJFuw8cOzaZeSKmHVrDEuPOE7/Ox+k\nBm4hd/HzKpldTUjNuK52wqanVe5yFX4HDKP9Tc9uSdyn9S0HYJfdRAfw05e2Y8nmPTlVfIycWFxL\n1LzOlVSxtm8YX/2nkSlts+tH4qlrp6QkfGRKRym9j040/x8N4CsAni7k/vtWyRdBdu0ycg36fjCG\nuR3oZ00agQ3zpuN310wuyEu4onEfZi5aD8U0dIdVytoHq8pdMk6r3FnHclL4PaYJNLd1JAR7Lu+u\npQ2t+NHnxrEHUh7ENeDl5g8yJlC3LNuCdTs+zEizsrShNeX7K7e0sXrIR5QyTmG5aVOIAbheCHGo\nkDuv7WOTyM2mXUauQd8v6SHc6l4LtSSXBewJIqy+YVrWQT6fKne5ig/J2PhuOwZUhzKCBe14e88h\nrL7xXLzU9AF+/qcdGa6rjBwdwH8+15SRlj4SF7jud29DN9VCsyaN8MyuxRSOkgkFIcS5Xu7/vY/l\nKhy7dhlOBn2/GMNKoXuVvuBqZnCeDLdV7uSDCSGWJevt4xv+gYF9Qo76AwAvb9uPtTs+wnemjgEJ\n9kNygwBwTCKwj0VTvdz8sLpmslOxEc19bIrp2LXb4TTdgpPc/pWG7AU/GtHQtK8jkeHVy2MpipG6\nw85jSCXK6ukiIxLX8fDru/LuJyOHXU3Lh4oVCoqNysCuPRtOZ+GyzKTZdPb5CpBif8+O2r5hzJ9Z\nh9ueSy1iv3D1NsyYMLSgL/rxugip1xcAbl62FVFJXc2opkN1GTTIeAO7mpYPFSsUdh+UJ76za+8p\nssykP1raaBsY5ibYK3kwX99yIK8kYV4lF5swfABqQmqKiiZfHXF7ZwTNbYcBCIwfPiDj+8Z6gMya\ny4ZwnzVpBD7o6MZPX8qsbvbtz56CR9f/w90JMQXBqoEdDrhzNe1NK22/UrFCYd/BblftPaW57XBG\nZtK4brQnl9IE3MU3JA/mUU1PFJt3kyTMy+RisnKX+eiIVzTuSxKqhm3ie9OPV+Y6HrR2/CLPXb4V\ndcP64+d/ylQRzRh/Ep7YuNvt6TAFIhLXURNSENMFFlxaV9KJS7GoFIFWsWvrwf1CrtoBd7l7MrEz\nS6a25yrCk75tsptfJK5nCB677zmt1tZTChH70N4ZwdxlW1LOLaZZlblexcrGfbbn0Lj348xrScDL\nzfsLUjuDcUdyEaujUZVDyDoAAA76SURBVB3RuI6Fq7ahvTOS9f1yWkXPrziJ0SgXKnal0CcYdNXe\n01nK+OEDEFQpZSAKqoTxSZHFTorwJJMtetfue7LzcFqtLV96qiNuPdQFlRRYardkInGBucu3YtUN\n06TncPBoNPNasiwoCQqAuf8yDvf9YUfKPUmvFyJ7v2TPuqoQ1m7/EBeccaKvZ96Vlua7YlcKwwfJ\nb4asvRCzlNq+Ydx/xUSEA0pKZlJZfvjk5HU1IdV2di3zuLGyp8pm5XbnAcCTSOb08883OttQQdkL\nPpUMIZp+DvNn1klVR0xp0AHsPxzJUCcejWh44NUdWd8vO0+2BSubfT/zrrQ03xW7Ujipv3wWLGsv\nVEBNthlzriI8biqLuTmGdR5+9vio7RvGfZdPxA+faZSWx4xpxqpm4qiBKefgZCVlR5+ggq5YMas2\nly8BAi6ZOAwrGt/Pue3jG3bjpovGZRj+7dSeySlfrGddVQhHzYnT0Whhs/l6QaXFXlSsUHBDIW+q\nnVdFtiI82R50u8Hc6THSI7D9+FIBxnnWDeuPix9Yj2habqMFl463LRmaK1+RSsBlZ4/Ayi3vJ1Yc\ngDzQyiKgEKacMgjr3z2Y7+lUFJ/75En4ztRT8cemD9AlyU6bTEhVcEJNKMMjLR3Z+2U962u3f4gF\nK5sL4tFWDPyS2aBQVKz6aLDNDZG1e5UorlDHcKqaKcZ5eMnYk/rhZ1ecmVId7idfnoCrpsiLCyWf\nr11Q4jNzpuDeyydhw7zpuHPWePQNq9LtLFSF8PPZE/GDz43r8flUCtecewpGDqqGkMT4pBd3iuk6\nJo0amKFCCiiGm2qu57K2bxgXnHFiQTzaikmhc4qVEpKVx/Mj9fX1oqHBecmFlv1H8LlfrMto/9MP\nz7NNr1AMl7JKOYaXuO2/tf2SzXtSkq2lF+9p74xg6j1rbPMnBVXgpe8dfz6+8dgmvNHSbnvcsEog\nhTC7fiSefnOva2+nfmEFRyL5Z2YlAH3DAUQ1DZ8c2h+NrR1578uOc8fW4slrpgAAVjbuM9Q7RIhp\nOhZcOh79qgIZM+RZk0YktnWi9pQh+345D7SlhIjeEkLUO96+UoUCANy+4q9YvDH/Cl9M+dGy/0jW\nRHvJg42sOlj6wNPwj3Y839iGoEr4xEn90LcqiP7VAQwfUJ1R1a65rQP7DnXh4NEoTq6twRlD+6Gt\nowuHu2LoXx3C+OH9cehoNKV/P1m1Db9e/w+oZMTjnf+JIXhjZztUhaDpAjddNA4xTcexaBwjB/UB\nYKR/nzZ2CAbVhFIG2Zb9R7C+5SMM7luFju4YFq7aBoIRM0AAqoJqYjCfMWEoNr7bjgOdEUTjOu79\nw/aE3p8AnD9uMK6/YCzq0+okyAS2nRDv6eSk3Cc3foGFQhq5Bgmm95E82ACZ1cFK2R9LwBSiT27O\nM1c0OVO+sFBgGIZhErgVChVraGYYhmHcw0KBYRiGScBCgWEYhknAQoFhGIZJwEKBYRiGSVA23kdE\n9BGAPXl+fTCAAwXsTiHxc98Af/eP+5Y/fu4f9y0/7Pp2shBiiKRdStkIhZ5ARA1uXLKKiZ/7Bvi7\nf9y3/PFz/7hv+VGovrH6iGEYhknAQoFhGIZJ0FuEwiOl7kAW/Nw3wN/9477lj5/7x33Lj4L0rVfY\nFBiGYRhn9JaVAsMwDOOAihIKRDSDiP5ORC1EdKvk8zARPWN+vpmIxhSpX6OIaC0R/Y2Imono+5Jt\nzieiDiJqNH9uL0bfko6/m4j+ah47I/MgGTxgXrutRHRWkfr1iaRr0khEh4noB2nbFO3aEdHjRPQh\nETUltZ1ARK8Q0U7z/0E23/2muc1OIvpmEft3HxFtN+/bc0Q00Oa7WZ8Bj/p2BxHtS7p3F9t8N+u7\n7VHfnknq124iarT5rtfXTTp+ePbcCSEq4geACuBdAKcCCAHYAqAubZv/A+BX5u//CuCZIvVtGICz\nzN/7Adgh6dv5AFaV8PrtBjA4y+cXA3gJRrr9KQA2l+gefwDD77ok1w7AeQDOAtCU1HYvgFvN328F\ncI/keycA2GX+P8j8fVCR+vd5AAHz93tk/XPyDHjUtzsA3Ozgvmd9t73oW9rn9wO4vUTXTTp+ePXc\nVdJK4TMAWoQQu4QQUQD/C+CLadt8EcBvzd+XAbiQSFJjsMAIId4XQrxt/n4EwN8AlFsZqS8CWCwM\nNgEYSETDityHCwG8K4TIN4ixxwgh1gFIL96c/Fz9FsCXJF/9FwCvCCEOCiEOAXgFwIxi9E8I8Uch\nRNz8cxOAkYU+rhNsrp0TnLzbnvXNHCNmA3i6kMd0Spbxw5PnrpKEwggAe5P+bkXmwJvYxnxJOgDU\nooiYKqtPA9gs+fgcItpCRC8R0fhi9guAAPBHInqLiOZIPndyfb3mX2H/Ypby2p0khHgfMF5gACdK\ntvHD9QOA78BY8cnI9Qx4xQ2mautxGxVIqa/duQD2CyF22nxetOuWNn548txVklCQzfjTXaucbOMZ\nRNQXwHIAPxBCHE77+G0YapGJAB4E8Hyx+mUyVQhxFoAvALieiM5L+7zU1y4EYBaAZyUfl/raOaGk\n1w8AiOg2AHEAS2w2yfUMeMHDAE4DMAnA+zDUNOmU+tp9DdlXCUW5bjnGD9uvSdqyXrtKEgqtAEYl\n/T0SQJvdNkQUADAA+S1nXUNEQRg3dIkQ4vfpnwshDgshOs3fXwQQJKLBxeibecw28/8PATwHY8me\njJPr6yVfAPC2EGJ/+gelvnYA9luqNPP/DyXblPT6mQbGmQCuEqayOR0Hz0DBEULsF0JoQggdwKM2\nxyzZtTPHia8AeMZum2JcN5vxw5PnrpKEwl8AnE5Ep5izyn8FsDJtm5UALOv75QDW2L0ghcTUSf4a\nwN+EED+32WaoZd8gos/AuDftXvfNPF4NEfWzfodhmGxK22wlgKvJYAqADmvpWiRsZ2ulvHYmyc/V\nNwGskGzzBwCfJ6JBpork82ab5xDRDADzAMwSQhyz2cbJM+BF35LtUl+2OaaTd9srPgdguxCiVfZh\nMa5blvHDm+fOK4t5KX5geMjsgOGpcJvZdheMlwEAqmCoH1oAvAng1CL1axqMJdtWAI3mz8UArgNw\nnbnNDQCaYXhWbALw2SJet1PN424x+2Bdu+T+EYCHzGv7VwD1RexfHxiD/ICktpJcOxiC6X0AMRiz\nsO/CsEu9CmCn+f8J5rb1AB5L+u53zGevBcC3i9i/Fhh6ZevZszzwhgN4MdszUIS+PWk+T1thDHLD\n0vtm/p3xbnvdN7P9Ces5S9q22NfNbvzw5LnjiGaGYRgmQSWpjxiGYZgewkKBYRiGScBCgWEYhknA\nQoFhGIZJwEKBYRiGScBCgWEYhknAQoEpGETUWeo+pENEk5LTMRPRLCv1MhENISOF+jtEdK6LfQ4k\nov/jYLsxRHSlw+1cBTw57QPDuIWFAlPpTIIR6AMAEEKsFELcbf55IYxo1U8LId5wsc+BMNKw52IM\ngJxCIU9s+0BEqkfHZHoBLBSYgmOmwriPiJrM4iNfNdsVIvqlWShkFRG9SESXZ9nP3US0zcyg+TOz\n7Qki+hURvUFEO4hoptleRUS/MY/3DhFdYKZEuAvAV8kogPJVIvoWES0iokkw8tFfbH52PRH9IunY\n1xKRNCUJgLsBnGZ+7z678zW3O9fc7ofmiuANInrb/Pmsw+s5nojeNPezlYhOl/ThfDIKsTwFI0IY\nRPT1pO/9jyUsiOhhImow78OdScfZTUQ/JaKN5udnEdEfiOhdIrrO3GYYEa0z99nkZoXFlAlehNrz\nT+/8AdBp/n8ZjLztKoCTALwHo1DI5QBehDEZGQrgEIDLbfZ1AoC/43gd8YHm/08AeNncx+kwUhJU\nAbgJwG/Mbc4wj1kF4FsAFiXtN/F32u81MFIoBM2//wzgUzZ9G4PUQjF253s+kor/wEjXUWX+fjqA\nBtn+JMd7EEYiO8AoMlMt6cP5AI4COMX8+5MAXkg6n18CuNq6tub/KoDXAJxp/r0bwL+bv/8CRlqF\nfgCGAPjQbL8Jx9OgqAD6lfq545/C/gTAMIVnGoCnhRAajEyOrwP4J7P9WWFkxPyAiNZm2cdhAN0A\nHiOi1QBWJX221NzHTiLaBUMITIMxeEIIsZ2I9gAY57TDQoijRLQGwEwi+huMwfSvPTzf9PTGQQDW\nKkVz0b+NAG4jopEAfi+E2Eny2lBvCiH+Yf5+IYCzAfzF3LYax7NoziYj738AhvCqgyEAgOOJ5v4K\noK8wirocIaJuMsp4/gXA42Rk7XxeCCEtUcmUL6w+YrzArpqd4yp3wiiC9BkY6YK/BGN1kPg4fXM3\n+87CYzBWD98G8BsX33N67B8C2A9gIoykZSEnXxJCPAWjlkQXgD8Q0XSbTY+m9em3QohJ5s8nhBB3\nENEpAG4GcKEQ4kwAq2GsqCwi5v960u/W3wFhVCg7D8A+AE8S0dVOzoEpH1goMF6wDoYeXyWiITAG\nkTcBrAdwmWlbOAmGykMKGQVFBgijPsIPYBiMLa4w93EajCyVfzePeZX53XEARpvtR2CoQHIihNgM\nI/f8lcheVCV9n3bnm77dAADvm6ucb8BQv+SEiE4FsEsI8QCMmfyZDs7rVQCXE9GJ5j5OIKKTAfSH\nITw6zHvwBSd9SOrLyTBUSY/CSOd8lpvvM/6H1UeMFzwH4BwY6YQFgLlCiA+IaDkMtUYTjDTIm2GU\nRJXRD8AKIqqCMev9YdJnfwfwOgz9/XVCiG4i+iWAXxHRX2FUF/uWECJiqqhuJaJGAP/loO9LAUwS\nRj1bKUKIdiLaQIYb6UsA5tqcbzuAOBFtgWEL+SWA5UR0BYC1SJ3ZZ+OrAL5ORDEAHwC4SwhxMK0P\nq9P6uI2I/hNGmUgFRkro64UQm4joHRhpnncB2OCwDxbnA7jF7EsnAF4pVBicOpspKkTUVwjRSUS1\nMGbTU4UQH7j4/hMwjLfLPOrfKgC/EEK86sX+Gcbv8EqBKTarTINlCMBCNwLBS8w+vQlgCwsEpjfD\nKwWm5BDRcwBOSWueJ4QoSrlKO8zVjExAXCiEKHi5TyL6FwD3pDX/Qwjx5UIfi2HsYKHAMAzDJGDv\nI4ZhGCYBCwWGYRgmAQsFhmEYJgELBYZhGCYBCwWGYRgmwf8HGkhz9p6uXIEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1ec68a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run cat0_logs.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "df size:\n",
      "(2373, 24)\n",
      "adding to df:\n",
      "['Blues', \"Children's\", 'Christian', 'Classical', 'Country', 'Electronic', 'Folk', 'Hip-hop/Rap', 'Holiday', 'Jazz', 'Latin Music', 'Metal', 'New Age', 'Pop', 'Punk', 'R&B', 'Reggae', 'Rock', 'Soundtracks', 'Spoken Word', 'World Music']\n",
      "['Argentina', 'Australia', 'Austria', 'Belgium', 'Brazil', 'Canada', 'Chile', 'Colombia', 'Cuba', 'Cyprus', 'Czech Republic', 'Denmark', 'Egypt', 'Finland', 'France', 'Germany', 'Greece', 'Hungary', 'India', 'Ireland', 'Israel', 'Italy', 'Jamaica', 'Japan', 'Kuwait', 'Mexico', 'Netherlands', 'New Zealand', 'Pakistan', 'Philippines', 'Portugal', 'Puerto Rico', 'Romania', 'Russia', 'Saudi Arabia', 'South Africa', 'South Korea', 'Spain', 'Sri Lanka', 'Sweden', 'Switzerland', 'Taiwan', 'Turkey', 'USA', 'United Kingdom', 'Uruguay', 'Venezuela']\n",
      "shape before interactions:\n",
      "(2373, 92)\n",
      "['alexa_total_streams', 'amazon_total_downloads', 'amazon_total_streams', 'apple_active_streams', 'apple_collection_streams', 'apple_passive_streams', 'apple_total_streams', 'cd_revenue', 'google_total_downloads', 'itunes_total_downloads', 'num_active_releases', 'num_cds', 'pandora_total_streams', 'rev_log', 'rev_recip', 'shazam_total_streams', 'spotify_active_streams', 'spotify_collection_streams', 'spotify_passive_streams', 'spotify_playlist_streams', 'spotify_total_streams', 'total_physical_rev', 'total_rev', 'youtube_audio_streams', 'Blues', \"Children's\", 'Christian', 'Classical', 'Country', 'Electronic', 'Folk', 'Hip-hop/Rap', 'Holiday', 'Jazz', 'Latin Music', 'Metal', 'New Age', 'Pop', 'Punk', 'R&B', 'Reggae', 'Rock', 'Soundtracks', 'Spoken Word', 'World Music', 'Argentina', 'Australia', 'Austria', 'Belgium', 'Brazil', 'Canada', 'Chile', 'Colombia', 'Cuba', 'Cyprus', 'Czech Republic', 'Denmark', 'Egypt', 'Finland', 'France', 'Germany', 'Greece', 'Hungary', 'India', 'Ireland', 'Israel', 'Italy', 'Jamaica', 'Japan', 'Kuwait', 'Mexico', 'Netherlands', 'New Zealand', 'Pakistan', 'Philippines', 'Portugal', 'Puerto Rico', 'Romania', 'Russia', 'Saudi Arabia', 'South Africa', 'South Korea', 'Spain', 'Sri Lanka', 'Sweden', 'Switzerland', 'Taiwan', 'Turkey', 'USA', 'United Kingdom', 'Uruguay', 'Venezuela']\n",
      "('shazam_total_streams', 'itunes_total_downloads', 0.77380472571754677)\n",
      "('spotify_collection_streams', 'amazon_total_downloads', 0.73705952311538703)\n",
      "('apple_active_streams', 'amazon_total_downloads', 0.72210853326645397)\n",
      "('apple_total_streams', 'amazon_total_downloads', 0.71637683254436668)\n",
      "('spotify_total_streams', 'amazon_total_downloads', 0.71174970270444826)\n",
      "('apple_collection_streams', 'amazon_total_downloads', 0.7091515174272377)\n",
      "('youtube_audio_streams', 'amazon_total_downloads', 0.70340753778170129)\n",
      "('itunes_total_downloads', 'apple_passive_streams', 0.69403186398591787)\n",
      "('spotify_collection_streams', 'num_active_releases', 0.68647372581435984)\n",
      "('spotify_collection_streams', 'itunes_total_downloads', 0.68154307936749059)\n",
      "('shazam_total_streams', 'apple_passive_streams', 0.68082624633644795)\n",
      "('itunes_total_downloads', 'apple_total_streams', 0.68023297882815559)\n",
      "('shazam_total_streams', 'google_total_downloads', 0.68011089912539247)\n",
      "('itunes_total_downloads', 'USA', 0.67210512190178018)\n",
      "('pandora_total_streams', 'amazon_total_downloads', 0.67175172213545908)\n",
      "('itunes_total_downloads', 'apple_collection_streams', 0.67136332857571268)\n",
      "('itunes_total_downloads', 'apple_active_streams', 0.66868926478042678)\n",
      "('spotify_passive_streams', 'amazon_total_downloads', 0.6683433765772594)\n",
      "('youtube_audio_streams', 'num_active_releases', 0.66726438955205114)\n",
      "('google_total_downloads', 'amazon_total_downloads', 0.66591183297543)\n",
      "('spotify_passive_streams', 'num_active_releases', 0.66185162154675603)\n",
      "('spotify_passive_streams', 'itunes_total_downloads', 0.65663861060346618)\n",
      "('itunes_total_downloads', 'amazon_total_downloads', 0.65639897552265913)\n",
      "('itunes_total_downloads', 'google_total_downloads', 0.65127809548912252)\n",
      "('spotify_total_streams', 'num_active_releases', 0.65104494316542871)\n",
      "('spotify_total_streams', 'itunes_total_downloads', 0.65005016337239907)\n",
      "('youtube_audio_streams', 'itunes_total_downloads', 0.64715469752846355)\n",
      "('shazam_total_streams', 'num_active_releases', 0.64451962311826583)\n",
      "('spotify_active_streams', 'amazon_total_downloads', 0.6440040974936011)\n",
      "('num_active_releases', 'apple_passive_streams', 0.64306982379347177)\n",
      "('pandora_total_streams', 'itunes_total_downloads', 0.6428732806255657)\n",
      "('spotify_playlist_streams', 'amazon_total_streams', 0.64196498841201433)\n",
      "('shazam_total_streams', 'amazon_total_downloads', 0.64137482571886029)\n",
      "('spotify_playlist_streams', 'num_active_releases', 0.63590865056750057)\n",
      "('shazam_total_streams', 'pandora_total_streams', 0.63512071293400507)\n",
      "('itunes_total_downloads', 'amazon_total_streams', 0.63402925788846798)\n",
      "('shazam_total_streams', 'apple_total_streams', 0.63324240795444542)\n",
      "('spotify_playlist_streams', 'amazon_total_downloads', 0.6314275029783869)\n",
      "('shazam_total_streams', 'apple_collection_streams', 0.63116871532462682)\n",
      "('spotify_playlist_streams', 'itunes_total_downloads', 0.62618515681184306)\n",
      "('shazam_total_streams', 'amazon_total_streams', 0.62516229217825225)\n",
      "('apple_passive_streams', 'amazon_total_downloads', 0.62232681013258029)\n",
      "('num_active_releases', 'apple_total_streams', 0.61757702915336976)\n",
      "('num_active_releases', 'apple_collection_streams', 0.61489156253839927)\n",
      "('shazam_total_streams', 'apple_active_streams', 0.61154653986755236)\n",
      "('pandora_total_streams', 'num_active_releases', 0.61150465877100801)\n",
      "('num_active_releases', 'apple_active_streams', 0.60850497862551522)\n",
      "('amazon_total_downloads', 'USA', 0.60748884687832316)\n",
      "('spotify_collection_streams', 'shazam_total_streams', 0.60515896257131319)\n",
      "('spotify_total_streams', 'alexa_total_streams', 0.58913612645324487)\n",
      "('spotify_collection_streams', 'alexa_total_streams', 0.58693652272824914)\n",
      "('spotify_passive_streams', 'shazam_total_streams', 0.58596959411648708)\n",
      "('spotify_passive_streams', 'apple_passive_streams', 0.58549452351961029)\n",
      "('spotify_playlist_streams', 'alexa_total_streams', 0.58430020620858414)\n",
      "('spotify_total_streams', 'shazam_total_streams', 0.58366054031163284)\n",
      "('spotify_active_streams', 'num_active_releases', 0.58307323642456554)\n",
      "('spotify_passive_streams', 'alexa_total_streams', 0.58155861460101821)\n",
      "('spotify_passive_streams', 'amazon_total_streams', 0.57688321295119738)\n",
      "('spotify_collection_streams', 'google_total_downloads', 0.57385234126085893)\n",
      "('spotify_active_streams', 'itunes_total_downloads', 0.57331588905090713)\n",
      "('spotify_playlist_streams', 'apple_passive_streams', 0.57120294440415942)\n",
      "('shazam_total_streams', 'alexa_total_streams', 0.56982431955486479)\n",
      "('spotify_passive_streams', 'google_total_downloads', 0.56922625537980565)\n",
      "('spotify_total_streams', 'apple_passive_streams', 0.56842620679825995)\n",
      "('youtube_audio_streams', 'google_total_downloads', 0.56834107721575289)\n",
      "('spotify_playlist_streams', 'shazam_total_streams', 0.56755753896487871)\n",
      "('spotify_total_streams', 'google_total_downloads', 0.56394539911239805)\n",
      "('google_total_downloads', 'Latin Music', 0.55842983418771619)\n",
      "('google_total_downloads', 'Mexico', 0.55721569455180908)\n",
      "('spotify_passive_streams', 'apple_total_streams', 0.55665361438352834)\n",
      "('spotify_passive_streams', 'pandora_total_streams', 0.55642003981258858)\n",
      "('spotify_passive_streams', 'apple_collection_streams', 0.55585127791647115)\n",
      "('amazon_total_streams', 'amazon_total_downloads', 0.55479719941687611)\n",
      "('apple_active_streams', 'Latin Music', 0.55450315146452323)\n",
      "('apple_total_streams', 'Latin Music', 0.55404232802518483)\n",
      "('google_total_downloads', 'apple_passive_streams', 0.5539871528814263)\n",
      "('google_total_downloads', 'apple_active_streams', 0.55354365734904065)\n",
      "('spotify_active_streams', 'Mexico', 0.55255648473918495)\n",
      "('itunes_total_downloads', 'Latin Music', 0.55242920607770518)\n",
      "('spotify_collection_streams', 'apple_passive_streams', 0.55227131248696149)\n",
      "('apple_active_streams', 'Mexico', 0.5517017868357762)\n",
      "('apple_total_streams', 'Mexico', 0.55133843849684372)\n",
      "('apple_collection_streams', 'Latin Music', 0.55024305868772128)\n",
      "('itunes_total_downloads', 'Mexico', 0.54967250428352787)\n",
      "('spotify_total_streams', 'Mexico', 0.54952645932400501)\n",
      "('apple_collection_streams', 'Mexico', 0.54762801935687833)\n",
      "('spotify_total_streams', 'apple_total_streams', 0.54731479187498477)\n",
      "('spotify_passive_streams', 'apple_active_streams', 0.5472661617350848)\n",
      "('spotify_collection_streams', 'Mexico', 0.5469800284923243)\n",
      "('google_total_downloads', 'apple_total_streams', 0.54646724556229698)\n",
      "('spotify_playlist_streams', 'pandora_total_streams', 0.54605959056818398)\n",
      "('spotify_active_streams', 'shazam_total_streams', 0.54568100422503285)\n",
      "('youtube_audio_streams', 'shazam_total_streams', 0.54514330080742357)\n",
      "('spotify_total_streams', 'apple_collection_streams', 0.54505668331593737)\n",
      "('spotify_active_streams', 'Latin Music', 0.54462776810374536)\n",
      "('spotify_active_streams', 'apple_passive_streams', 0.54370826728371913)\n",
      "('spotify_total_streams', 'apple_active_streams', 0.54290322153062076)\n",
      "('youtube_audio_streams', 'Mexico', 0.54252851393229595)\n",
      "('spotify_active_streams', 'pandora_total_streams', 0.54235829167680427)\n",
      "('spotify_playlist_streams', 'google_total_downloads', 0.54197658100249513)\n",
      "('amazon_total_streams', 'Latin Music', 0.54068505435839698)\n",
      "('spotify_passive_streams', 'Mexico', 0.54046185127405011)\n",
      "('amazon_total_streams', 'Mexico', 0.54016411200698355)\n",
      "('spotify_total_streams', 'pandora_total_streams', 0.53992219151046517)\n",
      "('google_total_downloads', 'apple_collection_streams', 0.53899125542618687)\n",
      "('google_total_downloads', 'USA', 0.53805722179962823)\n",
      "('spotify_playlist_streams', 'apple_collection_streams', 0.53804763924557719)\n",
      "('spotify_playlist_streams', 'apple_total_streams', 0.53791262296989961)\n",
      "('spotify_total_streams', 'Latin Music', 0.53747142114223756)\n",
      "('apple_passive_streams', 'Latin Music', 0.53735267644686768)\n",
      "('spotify_active_streams', 'google_total_downloads', 0.53724109235612416)\n",
      "('spotify_collection_streams', 'Latin Music', 0.53716713269390637)\n",
      "('youtube_audio_streams', 'Latin Music', 0.53674728518610937)\n",
      "('spotify_passive_streams', 'spotify_collection_streams', 0.53631489178863578)\n",
      "('spotify_active_streams', 'apple_total_streams', 0.53590716485879608)\n",
      "('apple_passive_streams', 'Mexico', 0.53541235385670827)\n",
      "('spotify_active_streams', 'alexa_total_streams', 0.53520906806484814)\n",
      "('spotify_active_streams', 'apple_collection_streams', 0.53519362757188527)\n",
      "('spotify_collection_streams', 'apple_active_streams', 0.53510641754183785)\n",
      "('spotify_active_streams', 'amazon_total_streams', 0.53485145388856314)\n",
      "('spotify_active_streams', 'apple_active_streams', 0.53381024266149002)\n",
      "('spotify_collection_streams', 'apple_total_streams', 0.53303170328177396)\n",
      "('shazam_total_streams', 'Mexico', 0.53283397647756259)\n",
      "('spotify_total_streams', 'spotify_collection_streams', 0.53279049185385685)\n",
      "('pandora_total_streams', 'Mexico', 0.53194605795909378)\n",
      "('spotify_total_streams', 'spotify_passive_streams', 0.52812078130764561)\n",
      "('amazon_total_downloads', 'Mexico', 0.52771845491601377)\n",
      "('youtube_audio_streams', 'apple_passive_streams', 0.52714808443315186)\n",
      "('youtube_audio_streams', 'pandora_total_streams', 0.52696118826156702)\n",
      "('spotify_collection_streams', 'apple_collection_streams', 0.52671985559765588)\n",
      "('spotify_playlist_streams', 'apple_active_streams', 0.52659041650114691)\n",
      "('spotify_playlist_streams', 'Mexico', 0.52556161594553197)\n",
      "('spotify_passive_streams', 'Latin Music', 0.52041020038903041)\n",
      "('pandora_total_streams', 'Latin Music', 0.52032814000025385)\n",
      "('shazam_total_streams', 'Latin Music', 0.51987070064318486)\n",
      "('amazon_total_downloads', 'Latin Music', 0.51914764061039187)\n",
      "('youtube_audio_streams', 'apple_total_streams', 0.51903594636176409)\n",
      "('youtube_audio_streams', 'apple_collection_streams', 0.5184751817110782)\n",
      "('spotify_playlist_streams', 'spotify_collection_streams', 0.51835131595385542)\n",
      "('youtube_audio_streams', 'apple_active_streams', 0.51728004777842029)\n",
      "('spotify_total_streams', 'amazon_total_streams', 0.51679781926509727)\n",
      "('spotify_playlist_streams', 'spotify_passive_streams', 0.5167049376235201)\n",
      "('spotify_collection_streams', 'spotify_active_streams', 0.51406585534422689)\n",
      "('alexa_total_streams', 'Mexico', 0.51372986102572116)\n",
      "('pandora_total_streams', 'google_total_downloads', 0.51359606087011345)\n",
      "('alexa_total_streams', 'Latin Music', 0.51333804016820372)\n",
      "('spotify_total_streams', 'spotify_active_streams', 0.51062419136793491)\n",
      "('spotify_total_streams', 'spotify_playlist_streams', 0.51050788825545634)\n",
      "('spotify_passive_streams', 'spotify_active_streams', 0.50759200700243667)\n",
      "('shazam_total_streams', 'USA', 0.50581772157018545)\n",
      "('itunes_total_downloads', 'alexa_total_streams', 0.50347872376611114)\n",
      "('spotify_collection_streams', 'pandora_total_streams', 0.50151646301836117)\n",
      "('spotify_playlist_streams', 'Latin Music', 0.50127240918056193)\n",
      "('youtube_audio_streams', 'amazon_total_streams', 0.50007617586506625)\n",
      "('youtube_audio_streams', 'spotify_collection_streams', 0.49989502826372662)\n",
      "('youtube_audio_streams', 'spotify_total_streams', 0.49824737219153498)\n",
      "('youtube_audio_streams', 'spotify_active_streams', 0.498209423928475)\n",
      "('youtube_audio_streams', 'spotify_passive_streams', 0.49613761636724024)\n",
      "('spotify_playlist_streams', 'spotify_active_streams', 0.49201574506693135)\n",
      "('num_active_releases', 'google_total_downloads', 0.49120938630231259)\n",
      "('google_total_downloads', 'alexa_total_streams', 0.49022925870796136)\n",
      "('youtube_audio_streams', 'spotify_playlist_streams', 0.4867043458706643)\n",
      "('spotify_total_streams', 'USA', 0.47918129295732487)\n",
      "('apple_total_streams', 'apple_active_streams', 0.47232609679232224)\n",
      "('spotify_collection_streams', 'USA', 0.46972556098211915)\n",
      "('num_active_releases', 'itunes_total_downloads', 0.46690839763751807)\n",
      "('apple_passive_streams', 'apple_active_streams', 0.46327478726343002)\n",
      "('spotify_passive_streams', 'USA', 0.46037974461682374)\n",
      "('apple_collection_streams', 'apple_active_streams', 0.45913404968660509)\n",
      "('shazam_total_streams', 'Hip-hop/Rap', 0.45352213980797529)\n",
      "('num_active_releases', 'amazon_total_streams', 0.45323240011422689)\n",
      "('amazon_total_downloads', 'Hip-hop/Rap', 0.44955330800004556)\n",
      "('num_active_releases', 'amazon_total_downloads', 0.44785306058196439)\n",
      "('apple_total_streams', 'apple_passive_streams', 0.43933561822398443)\n",
      "('apple_passive_streams', 'alexa_total_streams', 0.43918160937682466)\n",
      "('amazon_total_downloads', 'alexa_total_streams', 0.43717319523565312)\n",
      "('spotify_collection_streams', 'amazon_total_streams', 0.43155486817531874)\n",
      "('apple_total_streams', 'apple_collection_streams', 0.43100039718793898)\n",
      "('spotify_playlist_streams', 'USA', 0.42978415735205883)\n",
      "('spotify_playlist_streams', 'Hip-hop/Rap', 0.42937877169784411)\n",
      "('apple_passive_streams', 'apple_collection_streams', 0.42162985739882597)\n",
      "('itunes_total_downloads', 'Blues', 0.41867476446472213)\n",
      "('youtube_audio_streams', 'Blues', 0.41863921915105001)\n",
      "('google_total_downloads', 'Blues', 0.41801303760817204)\n",
      "('shazam_total_streams', 'Blues', 0.4085002117012731)\n",
      "('google_total_downloads', 'amazon_total_streams', 0.40771716163422955)\n",
      "('apple_passive_streams', 'USA', 0.40493198291012827)\n",
      "('pandora_total_streams', 'apple_active_streams', 0.40388335353698679)\n",
      "('spotify_active_streams', 'USA', 0.38829949349205606)\n",
      "('amazon_total_downloads', 'Blues', 0.3841639206010154)\n",
      "('apple_collection_streams', 'alexa_total_streams', 0.37670557527192189)\n",
      "('num_active_releases', 'Blues', 0.37509345860463589)\n",
      "('pandora_total_streams', 'alexa_total_streams', 0.3725177347088065)\n",
      "('pandora_total_streams', 'apple_total_streams', 0.37246295286410791)\n",
      "('num_active_releases', 'USA', 0.37001912578143081)\n",
      "('amazon_total_streams', 'USA', 0.3640478816647601)\n",
      "('itunes_total_downloads', 'Hip-hop/Rap', 0.35981199936219216)\n",
      "('pandora_total_streams', 'apple_collection_streams', 0.35869456892174989)\n",
      "('pandora_total_streams', 'apple_passive_streams', 0.35612474758745505)\n",
      "('apple_total_streams', 'alexa_total_streams', 0.35315652852678314)\n",
      "('apple_total_streams', 'USA', 0.34999149636994259)\n",
      "('alexa_total_streams', 'Hip-hop/Rap', 0.34100623717763207)\n",
      "('apple_active_streams', 'USA', 0.33850825603574974)\n",
      "('apple_collection_streams', 'USA', 0.33739034547832336)\n",
      "('spotify_passive_streams', 'Hip-hop/Rap', 0.33437408321935741)\n",
      "('num_active_releases', 'Mexico', 0.33294214196136362)\n",
      "('num_active_releases', 'Latin Music', 0.30643966757867031)\n",
      "('spotify_total_streams', 'Hip-hop/Rap', 0.30589924980406996)\n",
      "('spotify_collection_streams', 'Hip-hop/Rap', 0.30424471235494688)\n",
      "('youtube_audio_streams', 'Hip-hop/Rap', 0.30353618694992041)\n",
      "('num_active_releases', 'alexa_total_streams', 0.30352264227545878)\n",
      "('apple_passive_streams', 'amazon_total_streams', 0.30108499125288213)\n",
      "('youtube_audio_streams', 'alexa_total_streams', 0.29830773609335887)\n",
      "('pandora_total_streams', 'USA', 0.29754803891910309)\n",
      "('apple_active_streams', 'amazon_total_streams', 0.29072310024438475)\n",
      "('apple_active_streams', 'alexa_total_streams', 0.28315800031919253)\n",
      "('apple_total_streams', 'amazon_total_streams', 0.27548900131780385)\n",
      "('google_total_downloads', 'Hip-hop/Rap', 0.27316534488952771)\n",
      "('apple_passive_streams', 'Hip-hop/Rap', 0.27039976682453226)\n",
      "('amazon_total_streams', 'Hip-hop/Rap', 0.26889038013818378)\n",
      "('spotify_playlist_streams', 'Blues', 0.26769636496377885)\n",
      "('apple_collection_streams', 'amazon_total_streams', 0.26266637831880441)\n",
      "('spotify_collection_streams', 'Blues', 0.2592826220068708)\n",
      "('num_active_releases', 'Hip-hop/Rap', 0.25919052789147412)\n",
      "('youtube_audio_streams', 'USA', 0.25702577483525657)\n",
      "('pandora_total_streams', 'Hip-hop/Rap', 0.25252493209704402)\n",
      "('spotify_active_streams', 'Hip-hop/Rap', 0.24700561898011747)\n",
      "('apple_total_streams', 'Hip-hop/Rap', 0.2422427933738644)\n",
      "('apple_collection_streams', 'Hip-hop/Rap', 0.23983293243018156)\n",
      "('apple_active_streams', 'Hip-hop/Rap', 0.23408775163726528)\n",
      "('pandora_total_streams', 'amazon_total_streams', 0.22438542763401645)\n",
      "('itunes_total_downloads', 'Pop', 0.22242358840251281)\n",
      "('spotify_total_streams', 'Blues', 0.22170397951234713)\n",
      "('spotify_passive_streams', 'Blues', 0.21970958974608709)\n",
      "('amazon_total_downloads', 'Rock', 0.20893547747750105)\n",
      "('alexa_total_streams', 'USA', 0.20845291629402893)\n",
      "('itunes_total_downloads', 'Rock', 0.20263934185688787)\n",
      "('spotify_collection_streams', 'Rock', 0.20044610865588705)\n",
      "('apple_collection_streams', 'Rock', 0.19724078079707494)\n",
      "('apple_total_streams', 'Rock', 0.19527173712032994)\n",
      "('spotify_total_streams', 'Rock', 0.19412002253633007)\n",
      "('apple_passive_streams', 'Rock', 0.19211828136281789)\n",
      "('alexa_total_streams', 'Rock', 0.19087296428551143)\n",
      "('itunes_total_downloads', 'United Kingdom', 0.19011020454288269)\n",
      "('shazam_total_streams', 'Rock', 0.18889911099420745)\n",
      "('spotify_passive_streams', 'Rock', 0.1855339197076363)\n",
      "('apple_active_streams', 'Rock', 0.18509068810682405)\n",
      "('spotify_playlist_streams', 'Rock', 0.18399421145094375)\n",
      "('apple_passive_streams', 'Pop', 0.17690589576527183)\n",
      "('amazon_total_downloads', 'Pop', 0.17656971148245018)\n",
      "('itunes_total_downloads', 'Electronic', 0.17474245855061035)\n",
      "('alexa_total_streams', 'Pop', 0.16819421454403033)\n",
      "('google_total_downloads', 'Jazz', 0.16156678065276611)\n",
      "('spotify_collection_streams', 'Jazz', 0.16054745053706335)\n",
      "('apple_collection_streams', 'Jazz', 0.15912816346995565)\n",
      "('amazon_total_streams', 'Pop', 0.15859272407883604)\n",
      "('spotify_total_streams', 'Jazz', 0.15830707548747416)\n",
      "('apple_total_streams', 'Jazz', 0.15795329506173861)\n",
      "('alexa_total_streams', 'Electronic', 0.15790496952884989)\n",
      "('apple_active_streams', 'Jazz', 0.15717115610849375)\n",
      "('spotify_passive_streams', 'Jazz', 0.15611273958670596)\n",
      "('itunes_total_downloads', 'Jazz', 0.1552091153140342)\n",
      "('amazon_total_streams', 'Jazz', 0.15395959601079223)\n",
      "('spotify_active_streams', 'Jazz', 0.15293754030946849)\n",
      "('amazon_total_streams', 'Electronic', 0.1478557035182467)\n",
      "('apple_active_streams', 'Electronic', 0.14682166773815156)\n",
      "('apple_passive_streams', 'Jazz', 0.14521907609485551)\n",
      "('spotify_playlist_streams', 'Jazz', 0.14423812165909344)\n",
      "('apple_collection_streams', 'Electronic', 0.14408808786715946)\n",
      "('amazon_total_streams', 'Rock', 0.14329909573651575)\n",
      "('apple_total_streams', 'Electronic', 0.14322864667770593)\n",
      "('amazon_total_streams', 'alexa_total_streams', 0.14322674143365646)\n",
      "('spotify_active_streams', 'Rock', 0.13873484894743229)\n",
      "('alexa_total_streams', 'Punk', 0.13872445829557042)\n",
      "('itunes_total_downloads', 'Punk', 0.13834253134565325)\n",
      "('shazam_total_streams', 'Electronic', 0.13820909495117178)\n",
      "('spotify_active_streams', 'Blues', 0.13731362899135419)\n",
      "('apple_total_streams', 'Pop', 0.13595622837221466)\n",
      "('apple_active_streams', 'Punk', 0.13407520380838575)\n",
      "('apple_total_streams', 'Punk', 0.1339733070714095)\n",
      "('apple_collection_streams', 'Punk', 0.13289257256383283)\n",
      "('apple_passive_streams', 'Punk', 0.13261814676127834)\n",
      "('itunes_total_downloads', 'Country', 0.13220600401288254)\n",
      "('amazon_total_streams', 'Punk', 0.13130653889561458)\n",
      "('shazam_total_streams', 'United Kingdom', 0.12960820202668419)\n",
      "('google_total_downloads', 'Punk', 0.12956235064709343)\n",
      "('spotify_collection_streams', 'Punk', 0.12848736801706312)\n",
      "('spotify_passive_streams', 'Pop', 0.1283139209282794)\n",
      "('amazon_total_downloads', 'Punk', 0.12809863567165883)\n",
      "('amazon_total_downloads', 'Jazz', 0.12779564181901937)\n",
      "('pandora_total_streams', 'Jazz', 0.12747302931410112)\n",
      "('spotify_playlist_streams', 'Pop', 0.12674872656645364)\n",
      "('amazon_total_downloads', 'Electronic', 0.12665170287063499)\n",
      "('spotify_total_streams', 'Punk', 0.12649527445208908)\n",
      "('spotify_collection_streams', 'Pop', 0.12595591751293891)\n",
      "('spotify_passive_streams', 'Punk', 0.12470378850843065)\n",
      "('pandora_total_streams', 'Punk', 0.12381459181828702)\n",
      "('spotify_playlist_streams', 'Punk', 0.12344800071745574)\n",
      "('spotify_total_streams', 'Pop', 0.12319471810998474)\n",
      "('apple_active_streams', 'Pop', 0.1220568037213631)\n",
      "('spotify_active_streams', 'Punk', 0.12042193726297933)\n",
      "('Mexico', 'Latin Music', 0.1191844814505203)\n",
      "('amazon_total_streams', 'United Kingdom', 0.11739840657901775)\n",
      "('google_total_downloads', 'United Kingdom', 0.11686432378722429)\n",
      "('apple_collection_streams', 'Pop', 0.11513719664444047)\n",
      "('google_total_downloads', 'Electronic', 0.11326711461325392)\n",
      "('alexa_total_streams', 'United Kingdom', 0.10979101279967135)\n",
      "('amazon_total_downloads', 'United Kingdom', 0.1097478537476162)\n",
      "('shazam_total_streams', 'Punk', 0.10517980144063604)\n",
      "('spotify_passive_streams', 'Electronic', 0.10435759022347482)\n",
      "('youtube_audio_streams', 'Rock', 0.10307221642508532)\n",
      "('apple_passive_streams', 'Electronic', 0.10256209823278313)\n",
      "('spotify_playlist_streams', 'Electronic', 0.10099517022147622)\n",
      "('apple_active_streams', 'Metal', 0.1006141490291583)\n",
      "('apple_collection_streams', 'Metal', 0.10059295358578163)\n",
      "('apple_total_streams', 'Metal', 0.10050388776632428)\n",
      "('itunes_total_downloads', 'Metal', 0.10013207627391177)\n",
      "('spotify_passive_streams', 'Metal', 0.099923172259813911)\n",
      "('spotify_active_streams', 'Electronic', 0.09989383286681712)\n",
      "('spotify_total_streams', 'Electronic', 0.099370485494988448)\n",
      "('spotify_total_streams', 'Metal', 0.098107860955288867)\n",
      "('spotify_collection_streams', 'Metal', 0.097237766909050408)\n",
      "('amazon_total_downloads', 'Country', 0.096540904187246604)\n",
      "('google_total_downloads', 'Country', 0.095829885197374134)\n",
      "('google_total_downloads', 'Metal', 0.09494418121589869)\n",
      "('pandora_total_streams', 'Metal', 0.094881222179648381)\n",
      "('apple_collection_streams', 'United Kingdom', 0.093029048903168321)\n",
      "('amazon_total_streams', 'Metal', 0.092929920427022902)\n",
      "('youtube_audio_streams', 'Pop', 0.092034057603459216)\n",
      "('apple_total_streams', 'United Kingdom', 0.09105324400804006)\n",
      "('alexa_total_streams', 'Metal', 0.090893647280038029)\n",
      "('spotify_collection_streams', 'United Kingdom', 0.089497253878860442)\n",
      "('spotify_playlist_streams', 'Metal', 0.088558245085518142)\n",
      "('google_total_downloads', 'Rock', 0.088396417133856847)\n",
      "('itunes_total_downloads', 'Holiday', 0.088087496308199106)\n",
      "('spotify_collection_streams', 'Electronic', 0.086437711577516493)\n",
      "('apple_active_streams', 'United Kingdom', 0.085523135849693788)\n",
      "('spotify_active_streams', 'Pop', 0.084615233900656117)\n",
      "('spotify_active_streams', 'Metal', 0.08273038306385104)\n",
      "('USA', 'Hip-hop/Rap', 0.082708330101944338)\n",
      "('amazon_total_downloads', 'Holiday', 0.082552412541152032)\n",
      "('pandora_total_streams', 'Electronic', 0.082134236356530596)\n",
      "('amazon_total_downloads', 'Metal', 0.079748372667956272)\n",
      "('itunes_total_downloads', \"Children's\", 0.076892573796543781)\n",
      "('pandora_total_streams', 'United Kingdom', 0.075263409029428019)\n",
      "('spotify_total_streams', 'United Kingdom', 0.073291397211292325)\n",
      "('youtube_audio_streams', 'num_cds', 0.073148136130292099)\n",
      "('num_active_releases', 'Country', 0.073114213842440712)\n",
      "('shazam_total_streams', 'Pop', 0.069689055499117677)\n",
      "('amazon_total_streams', \"Children's\", 0.068861959644759635)\n",
      "('alexa_total_streams', \"Children's\", 0.068720274935742315)\n",
      "('total_physical_rev', 'itunes_total_downloads', 0.0682740323948446)\n",
      "('itunes_total_downloads', 'cd_revenue', 0.067895972743444569)\n",
      "('apple_collection_streams', \"Children's\", 0.066812132462664917)\n",
      "('num_cds', 'google_total_downloads', 0.066288878068654453)\n",
      "('total_physical_rev', 'amazon_total_streams', 0.066159221103128857)\n",
      "('total_physical_rev', 'alexa_total_streams', 0.066148389908454966)\n",
      "('apple_passive_streams', 'Metal', 0.066066333766236385)\n",
      "('cd_revenue', 'amazon_total_streams', 0.06595988471913955)\n",
      "('cd_revenue', 'alexa_total_streams', 0.065934766681715426)\n",
      "('num_cds', 'amazon_total_streams', 0.065856075607436282)\n",
      "('spotify_collection_streams', 'cd_revenue', 0.065818178436228753)\n",
      "('total_physical_rev', 'spotify_collection_streams', 0.065747574452076213)\n",
      "('spotify_collection_streams', 'num_cds', 0.065623697688575997)\n",
      "('apple_passive_streams', 'United Kingdom', 0.065119080287763684)\n",
      "('spotify_playlist_streams', 'cd_revenue', 0.065011987643612851)\n",
      "('apple_total_streams', \"Children's\", 0.064922960733201723)\n",
      "('spotify_total_streams', 'cd_revenue', 0.06488249793751634)\n",
      "('num_cds', 'apple_collection_streams', 0.064856525999430883)\n",
      "('num_cds', 'apple_total_streams', 0.064778359742952665)\n",
      "('spotify_playlist_streams', 'num_cds', 0.064671312478161824)\n",
      "('num_cds', 'apple_active_streams', 0.064665380979426812)\n",
      "('total_physical_rev', 'apple_collection_streams', 0.064661908541074592)\n",
      "('total_physical_rev', 'apple_total_streams', 0.06465709313585051)\n",
      "('total_physical_rev', 'apple_active_streams', 0.064649838663009038)\n",
      "('total_physical_rev', 'apple_passive_streams', 0.06464714181769371)\n",
      "('total_physical_rev', 'spotify_playlist_streams', 0.064643487558156437)\n",
      "('cd_revenue', 'apple_collection_streams', 0.064599536719370063)\n",
      "('cd_revenue', 'apple_total_streams', 0.064596077386379416)\n",
      "('cd_revenue', 'apple_active_streams', 0.064591306743272001)\n",
      "('cd_revenue', 'apple_passive_streams', 0.064587786705585903)\n",
      "('total_physical_rev', 'spotify_total_streams', 0.064455144666234213)\n",
      "('num_cds', 'apple_passive_streams', 0.064450848801366506)\n",
      "('spotify_total_streams', 'num_cds', 0.064401534207175301)\n",
      "('pandora_total_streams', 'cd_revenue', 0.064350948050990453)\n",
      "('total_physical_rev', 'pandora_total_streams', 0.064343244036001127)\n",
      "('pandora_total_streams', 'num_cds', 0.064032545729838894)\n",
      "('cd_revenue', 'Hip-hop/Rap', 0.063975438210705005)\n",
      "('total_physical_rev', 'Hip-hop/Rap', 0.063830111859326119)\n",
      "('apple_active_streams', \"Children's\", 0.063528384955934769)\n",
      "('num_cds', 'alexa_total_streams', 0.063446434476477923)\n",
      "('spotify_passive_streams', 'cd_revenue', 0.062774384388766535)\n",
      "('google_total_downloads', 'cd_revenue', 0.062622865797887853)\n",
      "('spotify_collection_streams', 'Country', 0.062502475951389053)\n",
      "('spotify_active_streams', 'cd_revenue', 0.062373656727762739)\n",
      "('amazon_total_streams', 'Blues', 0.061980230304000301)\n",
      "('spotify_collection_streams', \"Children's\", 0.06193258529411988)\n",
      "('total_physical_rev', 'spotify_passive_streams', 0.061854755095921692)\n",
      "('spotify_active_streams', 'num_cds', 0.061810392634809433)\n",
      "('total_physical_rev', 'google_total_downloads', 0.061796448732032758)\n",
      "('total_physical_rev', 'spotify_active_streams', 0.061377305523179833)\n",
      "('spotify_passive_streams', 'num_cds', 0.061354132312301066)\n",
      "('google_total_downloads', \"Children's\", 0.061119979537554464)\n",
      "('spotify_passive_streams', 'United Kingdom', 0.061065610102342315)\n",
      "('num_cds', 'itunes_total_downloads', 0.060500489165044885)\n",
      "('spotify_playlist_streams', \"Children's\", 0.060463658810933102)\n",
      "('spotify_total_streams', \"Children's\", 0.059473235459118791)\n",
      "('youtube_audio_streams', \"Children's\", 0.059398332839686978)\n",
      "('spotify_passive_streams', \"Children's\", 0.058607622889738684)\n",
      "('shazam_total_streams', 'num_cds', 0.058336405592360259)\n",
      "('pandora_total_streams', \"Children's\", 0.055791806503718594)\n",
      "('USA', 'Blues', 0.055636281344909957)\n",
      "('spotify_active_streams', \"Children's\", 0.05542098477670785)\n",
      "('youtube_audio_streams', 'cd_revenue', 0.054755402455988512)\n",
      "('spotify_active_streams', 'United Kingdom', 0.054729213594576311)\n",
      "('youtube_audio_streams', 'Punk', 0.054556492082737489)\n",
      "('num_active_releases', 'Electronic', 0.054283752578718585)\n",
      "('spotify_playlist_streams', 'United Kingdom', 0.05391634160383308)\n",
      "('Israel', 'Electronic', 0.053021958926549102)\n",
      "('alexa_total_streams', 'Blues', 0.052609875345692836)\n",
      "('itunes_total_downloads', 'France', 0.052428005712657912)\n",
      "('youtube_audio_streams', 'total_physical_rev', 0.051645198992733329)\n",
      "('google_total_downloads', 'Israel', 0.051523171773676671)\n",
      "('cd_revenue', 'amazon_total_downloads', 0.04850740157116231)\n",
      "('total_physical_rev', 'amazon_total_downloads', 0.046660702231726858)\n",
      "('itunes_total_downloads', 'Christian', 0.046032549198333918)\n",
      "('pandora_total_streams', 'Rock', 0.045793326568126395)\n",
      "('apple_passive_streams', \"Children's\", 0.044205371090735947)\n",
      "('shazam_total_streams', 'Metal', 0.044056358225335449)\n",
      "('apple_passive_streams', 'Finland', 0.043384500264907373)\n",
      "('alexa_total_streams', 'Finland', 0.043364677663787758)\n",
      "('apple_total_streams', 'Finland', 0.043353542547883046)\n",
      "('amazon_total_streams', 'Finland', 0.043350642294955034)\n",
      "('apple_active_streams', 'Finland', 0.043337820597264244)\n",
      "('apple_collection_streams', 'Finland', 0.043337633050557059)\n",
      "('shazam_total_streams', 'Finland', 0.043299733108903019)\n",
      "('spotify_playlist_streams', 'Finland', 0.043287829586466903)\n",
      "('amazon_total_downloads', 'Finland', 0.043287813932467209)\n",
      "('google_total_downloads', 'Finland', 0.043272844246897285)\n",
      "('spotify_passive_streams', 'Finland', 0.043235287758380446)\n",
      "('spotify_collection_streams', 'Finland', 0.043223041873473353)\n",
      "('spotify_total_streams', 'Finland', 0.043219447896072904)\n",
      "('spotify_active_streams', 'Finland', 0.043123208323217165)\n",
      "('youtube_audio_streams', 'Finland', 0.042964686103617589)\n",
      "('itunes_total_downloads', 'Finland', 0.042843383405108335)\n",
      "('amazon_total_downloads', \"Children's\", 0.042505008318801989)\n",
      "('num_cds', 'amazon_total_downloads', 0.040797970205418775)\n",
      "('apple_passive_streams', 'Christian', 0.040608463846080481)\n",
      "('num_active_releases', 'cd_revenue', 0.039282961492347536)\n",
      "('spotify_total_streams', 'Country', 0.038251813499886968)\n",
      "('pandora_total_streams', 'Soundtracks', 0.037481817135919047)\n",
      "('google_total_downloads', 'Pop', 0.037395783337742482)\n",
      "('apple_total_streams', 'Christian', 0.036996260167357659)\n",
      "('apple_collection_streams', 'Christian', 0.036976052858127786)\n",
      "('num_active_releases', 'Pop', 0.036913247697475129)\n",
      "('youtube_audio_streams', 'Soundtracks', 0.036750266133564607)\n",
      "('total_physical_rev', 'num_active_releases', 0.036574280554366956)\n",
      "('apple_active_streams', 'Soundtracks', 0.03608792695171914)\n",
      "('apple_collection_streams', 'Soundtracks', 0.035963791714698608)\n",
      "('alexa_total_streams', 'Jazz', 0.035800653648274873)\n",
      "('apple_total_streams', 'Soundtracks', 0.035617231114746857)\n",
      "('apple_active_streams', 'Country', 0.035394608668509055)\n",
      "('apple_total_streams', 'Country', 0.034778884972613153)\n",
      "('spotify_passive_streams', 'Country', 0.034650673721697237)\n",
      "('spotify_collection_streams', 'Soundtracks', 0.034319694108265852)\n",
      "('spotify_playlist_streams', 'Soundtracks', 0.034166175229727792)\n",
      "('shazam_total_streams', 'Jazz', 0.034153467043889468)\n",
      "('apple_active_streams', 'Christian', 0.034074765189481819)\n",
      "('apple_collection_streams', 'Country', 0.034065235628311478)\n",
      "('amazon_total_downloads', 'Soundtracks', 0.033528559042380328)\n",
      "('apple_passive_streams', 'Country', 0.033526668240756487)\n",
      "('spotify_total_streams', 'Soundtracks', 0.032756948847379438)\n",
      "('youtube_audio_streams', 'Israel', 0.032041902465326663)\n",
      "('apple_active_streams', 'Saudi Arabia', 0.031677444258335352)\n",
      "('alexa_total_streams', 'Israel', 0.031420764583426623)\n",
      "('apple_total_streams', 'Saudi Arabia', 0.031284532091202896)\n",
      "('spotify_active_streams', 'Soundtracks', 0.031182646109602415)\n",
      "('spotify_passive_streams', 'Soundtracks', 0.031156287488238295)\n",
      "('apple_collection_streams', 'Saudi Arabia', 0.031090946029410454)\n",
      "('youtube_audio_streams', 'Saudi Arabia', 0.030648400111530961)\n",
      "('google_total_downloads', 'Saudi Arabia', 0.030308709989059428)\n",
      "('youtube_audio_streams', 'Country', 0.030245237680992177)\n",
      "('amazon_total_streams', 'Country', 0.030062726337994963)\n",
      "('amazon_total_streams', 'Saudi Arabia', 0.029376653430196843)\n",
      "('spotify_collection_streams', 'Saudi Arabia', 0.029370786780185034)\n",
      "('itunes_total_downloads', 'Soundtracks', 0.029324615496464222)\n",
      "('apple_passive_streams', 'Saudi Arabia', 0.029307517608348699)\n",
      "('spotify_playlist_streams', 'Saudi Arabia', 0.02924372051515356)\n",
      "('United Kingdom', 'Electronic', 0.02898356543512861)\n",
      "('spotify_total_streams', 'Saudi Arabia', 0.028808233284397033)\n",
      "('google_total_downloads', 'Portugal', 0.028607119524224761)\n",
      "('shazam_total_streams', 'Saudi Arabia', 0.028376062733370754)\n",
      "('apple_collection_streams', 'Portugal', 0.028347658699482116)\n",
      "('alexa_total_streams', 'Portugal', 0.028260845900618597)\n",
      "('spotify_passive_streams', 'Saudi Arabia', 0.028130799602249037)\n",
      "('apple_total_streams', 'Portugal', 0.028100896648129238)\n",
      "('shazam_total_streams', \"Children's\", 0.027796935754568708)\n",
      "('apple_active_streams', 'Portugal', 0.027788310946366919)\n",
      "('spotify_active_streams', 'Saudi Arabia', 0.027634978251108715)\n",
      "('amazon_total_downloads', 'Christian', 0.027443749455456946)\n",
      "('amazon_total_streams', 'Portugal', 0.027345703239835407)\n",
      "('itunes_total_downloads', 'Saudi Arabia', 0.027187096039233676)\n",
      "('amazon_total_downloads', 'Portugal', 0.027037075635102381)\n",
      "('amazon_total_streams', 'Soundtracks', 0.027000211970584078)\n",
      "('youtube_audio_streams', 'Portugal', 0.026851430263246896)\n",
      "('num_cds', 'Hip-hop/Rap', 0.026817441278929332)\n",
      "('itunes_total_downloads', 'Italy', 0.026812640736761893)\n",
      "('spotify_collection_streams', 'Portugal', 0.02673966035350887)\n",
      "('alexa_total_streams', 'Saudi Arabia', 0.02660221520074341)\n",
      "('apple_active_streams', 'Holiday', 0.02659671349851523)\n",
      "('amazon_total_streams', 'Christian', 0.026460047980354916)\n",
      "('youtube_audio_streams', 'New Age', 0.026337433263689085)\n",
      "('spotify_total_streams', 'Portugal', 0.026326219222542298)\n",
      "('spotify_active_streams', 'Portugal', 0.025994068832777401)\n",
      "('Portugal', 'New Age', 0.02583613800346507)\n",
      "('youtube_audio_streams', 'World Music', 0.02572185928361646)\n",
      "('USA', 'Classical', -0.025715050224144078)\n",
      "('apple_collection_streams', 'France', 0.025582671639417211)\n",
      "('spotify_passive_streams', 'Portugal', 0.025343659531917605)\n",
      "('itunes_total_downloads', 'Portugal', 0.02531433517330851)\n",
      "('youtube_audio_streams', 'Metal', 0.025078969121541943)\n",
      "('google_total_downloads', 'Holiday', 0.025069473741996008)\n",
      "('shazam_total_streams', 'Israel', 0.025034319808242306)\n",
      "('amazon_total_downloads', 'Italy', 0.024933946301736593)\n",
      "('num_active_releases', 'Saudi Arabia', 0.024688180836392973)\n",
      "('num_active_releases', 'Spain', -0.024615387665888864)\n",
      "('amazon_total_downloads', 'Saudi Arabia', 0.024368968940354643)\n",
      "('pandora_total_streams', 'Pop', 0.024318000600640429)\n",
      "('spotify_playlist_streams', 'Portugal', 0.024110469642585935)\n",
      "('World Music', 'USA', -0.023543481980447863)\n",
      "('youtube_audio_streams', 'Electronic', 0.023308214960927807)\n",
      "('USA', 'Pop', 0.023245995426882732)\n",
      "('apple_total_streams', 'France', 0.023233956240505144)\n",
      "('spotify_playlist_streams', 'Country', 0.023100827578899422)\n",
      "('shazam_total_streams', 'Portugal', 0.023060775576812947)\n",
      "('itunes_total_downloads', 'Germany', 0.022844009640960138)\n",
      "('World Music', 'United Kingdom', -0.022644702500457973)\n",
      "('spotify_collection_streams', 'Christian', 0.021988087000999225)\n",
      "('alexa_total_streams', 'Germany', 0.021643656008459761)\n",
      "('apple_active_streams', 'France', 0.021557536117711499)\n",
      "('spotify_collection_streams', 'Italy', 0.021223306716359181)\n",
      "('amazon_total_downloads', 'Germany', 0.020906180622932303)\n",
      "('spotify_collection_streams', 'France', 0.020752688959961782)\n",
      "('num_active_releases', 'World Music', -0.020508774360024563)\n",
      "('United Kingdom', 'Blues', -0.019934844465625202)\n",
      "('amazon_total_streams', 'Italy', 0.019906360711039836)\n",
      "('amazon_total_downloads', 'New Age', 0.019874366320997063)\n",
      "('alexa_total_streams', 'Christian', 0.019846775465310617)\n",
      "('num_active_releases', 'Israel', 0.019801507771178263)\n",
      "('USA', 'Rock', 0.019628260162998814)\n",
      "('spotify_active_streams', 'New Age', 0.019513100680055191)\n",
      "('Germany', 'Blues', 0.019141646303959089)\n",
      "('alexa_total_streams', 'Country', 0.019125428878906371)\n",
      "('num_active_releases', 'Italy', 0.018947642259183568)\n",
      "('Finland', 'Electronic', 0.018929923135107267)\n",
      "('num_active_releases', 'Germany', 0.018796940311430591)\n",
      "('itunes_total_downloads', 'Turkey', 0.018789268783713609)\n",
      "('United Kingdom', 'Jazz', -0.018775616273275064)\n",
      "('num_active_releases', 'Metal', 0.018767529796806095)\n",
      "('youtube_audio_streams', 'Jazz', 0.018641221477524474)\n",
      "('United Kingdom', 'Country', 0.018509442475405247)\n",
      "('amazon_total_streams', 'Germany', 0.01845267655230716)\n",
      "('apple_passive_streams', 'Portugal', 0.018240597587536659)\n",
      "('google_total_downloads', 'Italy', 0.018195218818483284)\n",
      "('num_active_releases', 'Rock', 0.018019478765766161)\n",
      "('num_active_releases', 'Finland', 0.01790885694589554)\n",
      "('apple_active_streams', 'Turkey', 0.017894997534077604)\n",
      "('google_total_downloads', 'Turkey', 0.017854047301176155)\n",
      "('USA', \"Children's\", 0.01778711300425731)\n",
      "('alexa_total_streams', 'Turkey', 0.01772634710952338)\n",
      "('apple_active_streams', 'Italy', 0.017700943986942212)\n",
      "('shazam_total_streams', 'cd_revenue', 0.017668247774727842)\n",
      "('amazon_total_streams', 'Israel', 0.017606984338735646)\n",
      "('apple_total_streams', 'Turkey', 0.017547275393462351)\n",
      "('apple_passive_streams', 'Turkey', 0.017496279873186606)\n",
      "('apple_total_streams', 'Holiday', 0.017397377774925792)\n",
      "('apple_collection_streams', 'Turkey', 0.017301507558688992)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('Spain', 'Latin Music', -0.017121647062229427)\n",
      "('amazon_total_downloads', 'France', 0.016885476451946525)\n",
      "('United Kingdom', 'Classical', -0.016842821944914991)\n",
      "('shazam_total_streams', 'Turkey', 0.016840465158820126)\n",
      "('amazon_total_downloads', 'Turkey', 0.016840235544375672)\n",
      "('pandora_total_streams', 'Turkey', 0.016802788498249295)\n",
      "('amazon_total_streams', 'Turkey', 0.016714970373215617)\n",
      "('spotify_total_streams', 'Italy', 0.016713687411108524)\n",
      "('spotify_active_streams', 'Turkey', 0.016704332552829607)\n",
      "('spotify_total_streams', 'Turkey', 0.016634003734577303)\n",
      "('spotify_active_streams', 'Sweden', 0.016609489180168802)\n",
      "('Sweden', \"Children's\", 0.016547586301452352)\n",
      "('spotify_collection_streams', 'New Age', 0.016519848092763974)\n",
      "('spotify_collection_streams', 'Turkey', 0.01646747725221161)\n",
      "('spotify_playlist_streams', 'Turkey', 0.016351956512407003)\n",
      "('spotify_passive_streams', 'Turkey', 0.016317236370152324)\n",
      "('apple_total_streams', 'Italy', 0.016048195995110658)\n",
      "('apple_passive_streams', 'Canada', 0.015734020097146705)\n",
      "('total_physical_rev', 'shazam_total_streams', 0.015661572929489515)\n",
      "('spotify_total_streams', 'Sweden', 0.015587271924847204)\n",
      "('apple_active_streams', 'World Music', 0.015498141814417761)\n",
      "('spotify_total_streams', 'New Age', 0.01543793793179191)\n",
      "('google_total_downloads', 'France', 0.015354935347560311)\n",
      "('World Music', 'Saudi Arabia', 0.015332031463074946)\n",
      "('Latin Music', 'Argentina', -0.015315402897681938)\n",
      "('spotify_passive_streams', 'Italy', 0.015277153088286559)\n",
      "('num_active_releases', 'Portugal', 0.015046173671818295)\n",
      "('Germany', 'Classical', -0.014989626769313156)\n",
      "('pandora_total_streams', 'Saudi Arabia', 0.014776989758224945)\n",
      "('World Music', 'India', -0.014756038950225323)\n",
      "('spotify_passive_streams', 'Sweden', 0.014745270058491123)\n",
      "('pandora_total_streams', 'Christian', 0.014743358265192904)\n",
      "('pandora_total_streams', 'R&B', 0.014684066487193944)\n",
      "('spotify_collection_streams', 'Sweden', 0.014663737080018068)\n",
      "('apple_collection_streams', 'Italy', 0.014623287948072612)\n",
      "('Italy', \"Children's\", 0.014581930492769209)\n",
      "('spotify_active_streams', 'R&B', 0.014574546199655732)\n",
      "('spotify_playlist_streams', 'Sweden', 0.014394670793972563)\n",
      "('itunes_total_downloads', 'New Age', 0.014265798551784019)\n",
      "('United Kingdom', 'New Age', -0.01421635523439729)\n",
      "('num_active_releases', 'New Age', -0.014026863204069408)\n",
      "('Metal', 'Germany', -0.014025977925915452)\n",
      "('itunes_total_downloads', 'R&B', 0.014006135096817035)\n",
      "('google_total_downloads', 'New Age', 0.013998485461083874)\n",
      "('apple_collection_streams', 'Netherlands', 0.013801688661792984)\n",
      "('itunes_total_downloads', 'Netherlands', 0.013764964901792683)\n",
      "('apple_active_streams', 'R&B', 0.013652421133280111)\n",
      "('apple_total_streams', 'R&B', 0.01363755693459677)\n",
      "('spotify_collection_streams', 'Classical', 0.013620037379560307)\n",
      "('itunes_total_downloads', 'Israel', 0.013575210275766601)\n",
      "('apple_collection_streams', 'R&B', 0.013432213013203903)\n",
      "('itunes_total_downloads', 'World Music', 0.0133509565519273)\n",
      "('apple_total_streams', 'Netherlands', 0.013300244321288381)\n",
      "('spotify_active_streams', 'Country', 0.013066469566975289)\n",
      "('World Music', 'Brazil', -0.013058137729392112)\n",
      "('Netherlands', 'Jazz', -0.013016035907004076)\n",
      "('amazon_total_streams', 'Holiday', 0.012982165996338613)\n",
      "('United Kingdom', 'Rock', -0.012811443514865843)\n",
      "('num_active_releases', \"Children's\", 0.012731061755265201)\n",
      "('spotify_playlist_streams', 'Classical', 0.012702124667590662)\n",
      "('apple_total_streams', 'World Music', 0.012690657896266857)\n",
      "('num_active_releases', 'Argentina', -0.012594698931620713)\n",
      "('apple_active_streams', 'Netherlands', 0.01258183534191446)\n",
      "('amazon_total_downloads', 'R&B', 0.012580425981144311)\n",
      "('apple_collection_streams', 'World Music', 0.012377263927089386)\n",
      "('amazon_total_streams', 'Spain', 0.012275726792725032)\n",
      "('Pop', 'France', 0.012240730407310692)\n",
      "('spotify_collection_streams', 'Canada', 0.012206773561909747)\n",
      "('total_physical_rev', 'Punk', 0.012193111765617909)\n",
      "('spotify_total_streams', 'Classical', 0.01218615599109093)\n",
      "('num_active_releases', 'Classical', -0.012169628406629438)\n",
      "('apple_passive_streams', 'Soundtracks', 0.012149238853507674)\n",
      "('apple_collection_streams', 'Holiday', 0.012132659659069997)\n",
      "('google_total_downloads', 'Netherlands', 0.012128294622264993)\n",
      "('spotify_passive_streams', 'Classical', 0.012123342739570362)\n",
      "('num_cds', 'cd_revenue', 0.012107336664893421)\n",
      "('alexa_total_streams', 'Spain', 0.01210237947902737)\n",
      "('cd_revenue', 'Punk', 0.012076225046194291)\n",
      "('United Kingdom', 'Pop', -0.01203155463331314)\n",
      "('Jazz', 'France', -0.011974468179580212)\n",
      "('pandora_total_streams', 'Country', 0.01197120165091441)\n",
      "('Jazz', 'Germany', -0.011967773066902082)\n",
      "('Spain', 'Folk', -0.011890250674867335)\n",
      "('spotify_total_streams', 'R&B', 0.01181081995279849)\n",
      "('spotify_playlist_streams', 'Italy', 0.011779601043027312)\n",
      "('apple_active_streams', 'Germany', 0.011682136904663319)\n",
      "('alexa_total_streams', 'Soundtracks', 0.011655130828435245)\n",
      "('num_active_releases', 'Russia', -0.011648133036111844)\n",
      "('spotify_total_streams', 'France', 0.011639644809071929)\n",
      "('Spain', 'Hip-hop/Rap', 0.011597827821662748)\n",
      "('spotify_total_streams', 'Canada', 0.011505281632089477)\n",
      "('num_active_releases', 'Holiday', 0.011462500461648985)\n",
      "('United Kingdom', 'Folk', -0.011445134400434912)\n",
      "('Spain', \"Children's\", -0.011442039970590489)\n",
      "('total_physical_rev', 'num_cds', 0.011427506621314698)\n",
      "('spotify_total_streams', 'Christian', 0.011347213144715654)\n",
      "('spotify_collection_streams', 'R&B', 0.011343722043435268)\n",
      "('USA', 'Soundtracks', 0.01119308125356284)\n",
      "('spotify_collection_streams', 'Holiday', 0.011169351564385211)\n",
      "('Spain', 'Pop', -0.011140939379024292)\n",
      "('amazon_total_streams', 'R&B', 0.011138963502703207)\n",
      "('spotify_collection_streams', 'Netherlands', 0.011099523107005259)\n",
      "('spotify_active_streams', 'Canada', 0.01108236531375776)\n",
      "('amazon_total_downloads', 'Canada', 0.01105503588420541)\n",
      "('spotify_active_streams', 'Italy', 0.01102014468858532)\n",
      "('pandora_total_streams', 'Portugal', 0.010901959230699166)\n",
      "('num_active_releases', 'Brazil', -0.010870444575016715)\n",
      "('amazon_total_downloads', 'Switzerland', -0.010783691654523891)\n",
      "('USA', 'Punk', 0.01075226088585717)\n",
      "('num_active_releases', 'South Africa', -0.010736032902901942)\n",
      "('USA', 'Electronic', -0.010722312227409115)\n",
      "('pandora_total_streams', 'India', -0.010701608916994352)\n",
      "('amazon_total_downloads', 'South Africa', -0.010654552897372941)\n",
      "('num_active_releases', 'India', -0.010637481126073723)\n",
      "('USA', 'Latin Music', -0.010599747728605726)\n",
      "('Czech Republic', 'Classical', -0.010577924882722099)\n",
      "('Sweden', 'Pop', -0.010537776883391985)\n",
      "('shazam_total_streams', 'World Music', 0.010535414791523605)\n",
      "('itunes_total_downloads', 'South Africa', -0.010530475404550956)\n",
      "('num_active_releases', 'Netherlands', -0.010524336057225511)\n",
      "('apple_passive_streams', 'Italy', 0.010497340645772025)\n",
      "('World Music', 'Pakistan', -0.010495610764430395)\n",
      "('shazam_total_streams', 'Holiday', 0.010436539862445669)\n",
      "('apple_active_streams', 'Sweden', 0.010425767764628164)\n",
      "('num_active_releases', 'Switzerland', -0.010411414976566294)\n",
      "('spotify_active_streams', 'Germany', -0.010335165124523437)\n",
      "('Netherlands', 'Classical', -0.010302629687234079)\n",
      "('num_cds', 'Country', 0.010283182307637783)\n",
      "('amazon_total_downloads', 'Russia', -0.0102015242495584)\n",
      "('apple_total_streams', 'Canada', 0.010140820488335383)\n",
      "('youtube_audio_streams', 'Turkey', 0.010133035859054359)\n",
      "('google_total_downloads', 'India', -0.010031109648161105)\n",
      "('shazam_total_streams', 'Spain', -0.0099958338967095928)\n",
      "('youtube_audio_streams', 'Netherlands', 0.0099575619318703242)\n",
      "('Switzerland', 'Classical', -0.0099433759079253399)\n",
      "('New Age', 'India', -0.0098894967893663234)\n",
      "('Latin Music', 'Brazil', -0.0098685578767857621)\n",
      "('itunes_total_downloads', 'Russia', -0.0098313643569319133)\n",
      "('num_cds', 'Blues', -0.0098039866528034751)\n",
      "('Germany', 'Electronic', -0.0098034164650754665)\n",
      "('spotify_passive_streams', 'New Age', 0.0097766610698505896)\n",
      "('USA', 'Reggae', -0.0097664277011449297)\n",
      "('num_active_releases', 'Chile', -0.0097343369791793085)\n",
      "('pandora_total_streams', 'Holiday', 0.0097291080592070006)\n",
      "('google_total_downloads', 'Japan', -0.0097007222418132606)\n",
      "('USA', 'Folk', -0.0096967063353652523)\n",
      "('apple_active_streams', 'Switzerland', -0.0096665881405200091)\n",
      "('Pop', 'Philippines', -0.00961062076597048)\n",
      "('Spain', 'Rock', -0.0095954066721400718)\n",
      "('Latin Music', 'Chile', -0.0095897883036263933)\n",
      "('shazam_total_streams', 'Brazil', -0.00956489550491239)\n",
      "('itunes_total_downloads', 'India', -0.0095596349950016826)\n",
      "('apple_total_streams', 'Switzerland', -0.0095293059067610934)\n",
      "('spotify_passive_streams', 'Netherlands', 0.0095283460562610861)\n",
      "('spotify_passive_streams', 'Canada', 0.0094787851802497197)\n",
      "('Spain', 'Jazz', -0.0094688228669430677)\n",
      "('shazam_total_streams', 'Classical', 0.0094575520352289198)\n",
      "('apple_collection_streams', 'Switzerland', -0.0094536872730521162)\n",
      "('spotify_playlist_streams', 'Chile', -0.0094483937123410206)\n",
      "('spotify_active_streams', 'South Africa', -0.0094373055018740666)\n",
      "('itunes_total_downloads', 'Argentina', -0.0094304967640783579)\n",
      "('youtube_audio_streams', 'India', -0.0094249828132644421)\n",
      "('num_active_releases', 'Canada', -0.0094217257149711939)\n",
      "('num_cds', 'Metal', -0.0093906036637353054)\n",
      "('apple_passive_streams', 'R&B', 0.0093805726748340222)\n",
      "('spotify_passive_streams', 'Chile', -0.0093711966505148243)\n",
      "('spotify_active_streams', 'Switzerland', -0.0093702835317126896)\n",
      "('spotify_collection_streams', 'India', -0.0093700119471192573)\n",
      "('New Age', 'Japan', -0.0093555859015459607)\n",
      "('spotify_collection_streams', 'Switzerland', -0.0093449447770372479)\n",
      "('spotify_total_streams', 'Netherlands', 0.0093242966200001495)\n",
      "('num_active_releases', 'Pakistan', -0.0093084605775689399)\n",
      "('apple_total_streams', 'Czech Republic', -0.0093074562455697646)\n",
      "('cd_revenue', 'USA', 0.0092978425501766618)\n",
      "('United Kingdom', 'Punk', -0.0092955975429291418)\n",
      "('spotify_passive_streams', 'R&B', 0.0092834776203643103)\n",
      "('apple_passive_streams', 'Netherlands', 0.0092476062630698214)\n",
      "('amazon_total_downloads', 'Japan', -0.009206659764658157)\n",
      "('Pop', 'Germany', -0.0091721860064855939)\n",
      "('alexa_total_streams', 'Classical', 0.00917034031638146)\n",
      "('spotify_active_streams', 'Christian', 0.0091533233509764316)\n",
      "('itunes_total_downloads', 'Brazil', -0.009076848354083537)\n",
      "('apple_passive_streams', 'Spain', 0.0090731009528907513)\n",
      "('apple_collection_streams', 'South Africa', -0.0090387411574352795)\n",
      "('apple_passive_streams', 'Classical', 0.0090244087755239795)\n",
      "('apple_active_streams', 'India', -0.0090139751966582648)\n",
      "('amazon_total_streams', 'South Africa', -0.0090089016716691211)\n",
      "('num_active_releases', 'United Kingdom', 0.0089929201843869117)\n",
      "('apple_collection_streams', 'Czech Republic', -0.0089891120914648223)\n",
      "('amazon_total_streams', 'France', 0.0089739517712696271)\n",
      "('amazon_total_downloads', 'Netherlands', 0.008969235409341185)\n",
      "('amazon_total_downloads', 'World Music', -0.0089478481750643567)\n",
      "('apple_passive_streams', 'Holiday', 0.0089311122869327117)\n",
      "('alexa_total_streams', 'India', -0.0089250020981715503)\n",
      "('World Music', 'Spain', -0.0089240250714740267)\n",
      "('apple_total_streams', 'Sweden', 0.0089129228887100276)\n",
      "('spotify_total_streams', 'Chile', -0.0088923373191722339)\n",
      "('spotify_active_streams', 'Russia', -0.008885184520464863)\n",
      "('apple_active_streams', 'South Africa', -0.0088686286461023712)\n",
      "('alexa_total_streams', 'Holiday', 0.0088366145912553672)\n",
      "('apple_collection_streams', 'New Age', 0.0088064880136677192)\n",
      "('apple_total_streams', 'South Africa', -0.0087886417856460029)\n",
      "('itunes_total_downloads', 'Japan', -0.0086359646179450019)\n",
      "('spotify_collection_streams', 'Chile', -0.0086305233594599073)\n",
      "('apple_active_streams', 'Chile', -0.0085774747127265044)\n",
      "('num_active_releases', 'Folk', -0.0085720135523314079)\n",
      "('apple_collection_streams', 'Canada', 0.0085524586868931853)\n",
      "('youtube_audio_streams', 'R&B', 0.0085328681110936333)\n",
      "('apple_active_streams', 'Czech Republic', -0.0085147469249122944)\n",
      "('shazam_total_streams', 'Switzerland', -0.0085091057879206674)\n",
      "('World Music', 'Italy', -0.0084487157464929064)\n",
      "('Turkey', 'Pop', 0.0084482985889927659)\n",
      "('num_active_releases', 'Greece', -0.0084365363841279253)\n",
      "('itunes_total_downloads', 'Czech Republic', -0.0084247162443581557)\n",
      "('apple_passive_streams', 'Argentina', -0.00840391586237485)\n",
      "('num_active_releases', 'Denmark', -0.0083929198558929489)\n",
      "('total_physical_rev', 'USA', 0.0083892172781314302)\n",
      "('youtube_audio_streams', 'Russia', -0.0083693988346549199)\n",
      "('shazam_total_streams', 'Chile', -0.008333354093693613)\n",
      "('alexa_total_streams', 'Australia', 0.0083302732354475044)\n",
      "('spotify_total_streams', 'India', -0.0083068834709508835)\n",
      "('spotify_collection_streams', 'Brazil', -0.0083053308752895731)\n",
      "('apple_total_streams', 'Germany', 0.0082848314723347541)\n",
      "('apple_collection_streams', 'India', -0.0082782395811945037)\n",
      "('spotify_active_streams', 'Chile', -0.0082763046031323166)\n",
      "('apple_active_streams', 'Canada', 0.0082760310117984057)\n",
      "('Spain', 'Punk', -0.0082637571976788057)\n",
      "('spotify_total_streams', 'Switzerland', -0.0082252384592522102)\n",
      "('apple_total_streams', 'Classical', 0.0082224662965746462)\n",
      "('total_physical_rev', 'Metal', -0.0081836897760369821)\n",
      "('cd_revenue', 'Metal', -0.0081547676458806426)\n",
      "('apple_collection_streams', 'Sweden', 0.0081487398876194765)\n",
      "('Uruguay', 'Latin Music', -0.0081374380100050162)\n",
      "('amazon_total_streams', 'Classical', 0.0081144058165811845)\n",
      "('apple_passive_streams', 'Sweden', 0.0081090307593748977)\n",
      "('apple_total_streams', 'Chile', -0.0081006892184397484)\n",
      "('google_total_downloads', 'South Africa', -0.0080663132515326301)\n",
      "('google_total_downloads', 'Argentina', -0.0080639114195459743)\n",
      "('United Kingdom', 'Soundtracks', -0.0080186788301717972)\n",
      "('United Kingdom', 'Hip-hop/Rap', -0.0080057968461101081)\n",
      "('apple_total_streams', 'India', -0.0079931464200480463)\n",
      "('apple_total_streams', 'Greece', -0.0079872193487426409)\n",
      "('Latin Music', 'Cuba', -0.0079844032912385308)\n",
      "('spotify_passive_streams', 'Brazil', -0.0079641732601625076)\n",
      "('spotify_collection_streams', 'Israel', 0.0079542776134412796)\n",
      "('apple_collection_streams', 'Chile', -0.0079244252370010374)\n",
      "('apple_collection_streams', 'Greece', -0.0078949793057887605)\n",
      "('num_active_releases', 'Spoken Word', -0.00789451565100153)\n",
      "('num_active_releases', 'Austria', -0.0078867682441234824)\n",
      "('num_cds', 'USA', -0.0078779079012054019)\n",
      "('spotify_total_streams', 'South Africa', -0.0078735753293235605)\n",
      "('Russia', 'Classical', -0.0078686163677263218)\n",
      "('shazam_total_streams', 'Folk', -0.0078646598346710523)\n",
      "('amazon_total_downloads', 'Argentina', -0.0078596696222002181)\n",
      "('apple_active_streams', 'Greece', -0.0078515779530683484)\n",
      "('amazon_total_downloads', 'Pakistan', -0.0078230648547639552)\n",
      "('World Music', 'Greece', -0.0078134165322209861)\n",
      "('apple_collection_streams', 'Uruguay', -0.0078031065645258945)\n",
      "('youtube_audio_streams', 'Christian', 0.0077982524954769376)\n",
      "('Jazz', 'Denmark', -0.0077846929572249002)\n",
      "('spotify_active_streams', 'India', -0.0077814035444814609)\n",
      "('youtube_audio_streams', 'Argentina', -0.0077747081855871984)\n",
      "('apple_total_streams', 'Uruguay', -0.0077610057642018967)\n",
      "('num_active_releases', 'Christian', -0.0077598575424450986)\n",
      "('spotify_total_streams', 'Brazil', -0.0077517515573562699)\n",
      "('amazon_total_downloads', 'Israel', 0.0077192259394614736)\n",
      "('spotify_total_streams', 'Czech Republic', -0.0077160122350234108)\n",
      "('spotify_passive_streams', 'India', -0.0076964146250727882)\n",
      "('spotify_passive_streams', 'Greece', -0.0076963916262931991)\n",
      "('alexa_total_streams', 'South Africa', -0.0076909902312998343)\n",
      "('youtube_audio_streams', 'Pakistan', -0.0076588643698019066)\n",
      "('spotify_total_streams', 'Japan', -0.0076566262147967478)\n",
      "('pandora_total_streams', 'Italy', 0.0076548310562599992)\n",
      "('amazon_total_streams', 'India', -0.0076273797483714057)\n",
      "('youtube_audio_streams', 'Switzerland', -0.007591060759706946)\n",
      "('United Kingdom', 'Reggae', -0.0075866685584969947)\n",
      "('itunes_total_downloads', 'Sweden', 0.0075856893047554766)\n",
      "('google_total_downloads', 'Pakistan', -0.0075832527137012478)\n",
      "('Classical', 'Canada', -0.007576392076138706)\n",
      "('apple_active_streams', 'Uruguay', -0.0075739430044581939)\n",
      "('Pop', 'Italy', -0.0075675498164791133)\n",
      "('num_active_releases', 'Punk', 0.0075622544750319712)\n",
      "('USA', 'Christian', -0.0075511258368919348)\n",
      "('shazam_total_streams', 'Argentina', -0.0075131037615168966)\n",
      "('pandora_total_streams', 'Switzerland', -0.007509454654171876)\n",
      "('apple_total_streams', 'Russia', -0.0075008466960104223)\n",
      "('spotify_collection_streams', 'Japan', -0.007476122700712017)\n",
      "('spotify_passive_streams', 'Japan', -0.0074488541889289692)\n",
      "('apple_active_streams', 'Classical', 0.0074368247525560391)\n",
      "('spotify_collection_streams', 'South Africa', -0.0074169592704986268)\n",
      "('itunes_total_downloads', 'Pakistan', -0.0074152033238565227)\n",
      "('shazam_total_streams', 'Germany', -0.0073853930265905142)\n",
      "('spotify_playlist_streams', 'Brazil', -0.007385344109968532)\n",
      "('United Kingdom', \"Children's\", -0.0073782280928920557)\n",
      "('apple_active_streams', 'Russia', -0.0073482191290862283)\n",
      "('amazon_total_downloads', 'Classical', 0.007347161421515736)\n",
      "('youtube_audio_streams', 'Sweden', 0.0073431558038994788)\n",
      "('itunes_total_downloads', 'Chile', -0.0073357723816242877)\n",
      "('apple_collection_streams', 'Russia', -0.0073167311299011687)\n",
      "('itunes_total_downloads', 'Greece', -0.0073151142731724423)\n",
      "('South Africa', 'Christian', -0.0073072479924372385)\n",
      "('USA', 'New Age', -0.0073062960756276997)\n",
      "('youtube_audio_streams', 'Chile', -0.0073015720047543697)\n",
      "('spotify_active_streams', 'Classical', 0.0072949405230931883)\n",
      "('spotify_collection_streams', 'Germany', -0.0072914674782216379)\n",
      "('apple_passive_streams', 'Czech Republic', -0.0072843833425457203)\n",
      "('spotify_playlist_streams', 'Israel', 0.0072558100057856173)\n",
      "('Spain', 'Holiday', -0.0072326162214319933)\n",
      "('spotify_collection_streams', 'Uruguay', -0.0072321651351019891)\n",
      "('google_total_downloads', 'Russia', -0.0071976079657568122)\n",
      "('itunes_total_downloads', 'Switzerland', -0.0071891111099929919)\n",
      "('World Music', 'Canada', -0.0071876111705919746)\n",
      "('youtube_audio_streams', 'Germany', -0.0071730496369637881)\n",
      "('France', \"Children's\", -0.00715538408213211)\n",
      "('spotify_total_streams', 'Greece', -0.0071371012694518383)\n",
      "('spotify_passive_streams', 'South Africa', -0.0071324638324339199)\n",
      "('itunes_total_downloads', 'Uruguay', -0.0071253667167598799)\n",
      "('World Music', 'Turkey', -0.0071152277026877457)\n",
      "('apple_passive_streams', 'Brazil', -0.0071123816560011606)\n",
      "(\"Children's\", 'Argentina', -0.0071111541347911832)\n",
      "('World Music', 'Israel', -0.0071044645720776001)\n",
      "('apple_total_streams', 'Argentina', -0.007089191773318947)\n",
      "('apple_active_streams', 'Argentina', -0.0070751917255848099)\n",
      "('num_active_releases', 'Cuba', -0.0070610792669277252)\n",
      "('spotify_collection_streams', 'Czech Republic', -0.0070535431286343686)\n",
      "('google_total_downloads', 'Chile', -0.0070429094190922747)\n",
      "('spotify_total_streams', 'Uruguay', -0.0070424697819611737)\n",
      "('shazam_total_streams', 'Japan', -0.0070090088751820186)\n",
      "('Electronic', 'Canada', -0.00700666351453665)\n",
      "('New Age', 'Germany', -0.0069996546430682342)\n",
      "('apple_passive_streams', 'Pakistan', -0.0069877377683749322)\n",
      "('amazon_total_downloads', 'Venezuela', -0.006973238318872233)\n",
      "('spotify_collection_streams', 'Greece', -0.006965769590946148)\n",
      "('apple_collection_streams', 'Australia', 0.0069631296265063834)\n",
      "('amazon_total_streams', 'Australia', 0.0069481926452380927)\n",
      "('spotify_playlist_streams', 'South Africa', -0.0069477333441881964)\n",
      "('spotify_passive_streams', 'Uruguay', -0.0069463243099727873)\n",
      "('total_physical_rev', 'Blues', -0.0069331613672653503)\n",
      "('num_cds', 'Jazz', -0.0068805878880708587)\n",
      "('apple_collection_streams', 'Pakistan', -0.0068754436177248966)\n",
      "('google_total_downloads', 'Greece', -0.0068376151743247994)\n",
      "('spotify_playlist_streams', 'France', 0.0068142704283575082)\n",
      "('amazon_total_streams', 'Chile', -0.0067948425429426411)\n",
      "('USA', 'Spoken Word', -0.006784267919302628)\n",
      "('apple_collection_streams', 'Argentina', -0.0067770039979786131)\n",
      "('shazam_total_streams', 'Pakistan', -0.006775790363707828)\n",
      "('cd_revenue', 'Blues', -0.0067646616335616215)\n",
      "('Portugal', 'Latin Music', 0.0067464580342653444)\n",
      "('spotify_active_streams', 'Czech Republic', -0.0067462532281370472)\n",
      "('spotify_active_streams', 'Brazil', -0.0067453698761064315)\n",
      "('alexa_total_streams', 'R&B', 0.0067081776841382851)\n",
      "('apple_total_streams', 'Brazil', -0.0066984422907218162)\n",
      "('num_active_releases', 'Venezuela', -0.0066853870065579661)\n",
      "('World Music', 'France', -0.0066709342232668329)\n",
      "('amazon_total_downloads', 'Uruguay', -0.006657405138614925)\n",
      "('spotify_total_streams', 'Germany', -0.0066547837635769005)\n",
      "('apple_active_streams', 'Blues', 0.0066535650738847891)\n",
      "('spotify_total_streams', 'Russia', -0.006652461445045792)\n",
      "('apple_active_streams', 'New Age', 0.0066513327970915935)\n",
      "('apple_total_streams', 'Pakistan', -0.0066399131182992878)\n",
      "('alexa_total_streams', 'Uruguay', -0.0066219241273017043)\n",
      "('apple_total_streams', 'Australia', 0.0066212574671905217)\n",
      "('spotify_passive_streams', 'France', 0.0065742137714703162)\n",
      "('apple_active_streams', 'Australia', 0.0065661232397223601)\n",
      "('google_total_downloads', 'Brazil', -0.0065603727996202746)\n",
      "('google_total_downloads', 'Czech Republic', -0.0065010781279548693)\n",
      "('youtube_audio_streams', 'Japan', -0.0064805518988005906)\n",
      "('World Music', 'South Africa', -0.0064759231382021699)\n",
      "('amazon_total_downloads', 'Greece', -0.0064639610591115991)\n",
      "('spotify_passive_streams', 'Czech Republic', -0.0064443017954307511)\n",
      "('num_active_releases', 'Ireland', -0.0064341527124995405)\n",
      "('spotify_passive_streams', 'Switzerland', -0.0064333841984257701)\n",
      "('World Music', 'Portugal', -0.0064243653679288502)\n",
      "('google_total_downloads', 'Germany', 0.006423703943903564)\n",
      "('amazon_total_downloads', 'Cyprus', -0.0064173203082295936)\n",
      "('apple_total_streams', 'New Age', 0.0064093679339402463)\n",
      "('apple_collection_streams', 'Brazil', -0.0064022639830951652)\n",
      "('youtube_audio_streams', 'Uruguay', -0.0063989637568935736)\n",
      "('spotify_active_streams', 'Uruguay', -0.0063863321662298075)\n",
      "('Rock', 'Australia', -0.0063798986748718521)\n",
      "('num_active_releases', 'Cyprus', -0.0063391595305491953)\n",
      "('amazon_total_streams', 'Uruguay', -0.0063322618830198322)\n",
      "('apple_passive_streams', 'Uruguay', -0.0063153361821182558)\n",
      "('amazon_total_streams', 'Argentina', -0.0062977911045047803)\n",
      "('spotify_total_streams', 'Holiday', 0.0062881781458711747)\n",
      "('Switzerland', 'Pop', -0.0062748593552818116)\n",
      "('num_active_releases', 'Jazz', 0.006271640822166428)\n",
      "('num_cds', 'Classical', -0.0062354583285706994)\n",
      "('apple_collection_streams', 'Germany', 0.0062334430045509299)\n",
      "('apple_passive_streams', 'Greece', -0.0062268698072176941)\n",
      "('google_total_downloads', 'Uruguay', -0.0062197851331056092)\n",
      "('spotify_active_streams', 'Japan', -0.0062083127998294628)\n",
      "('amazon_total_streams', 'Netherlands', 0.0062056894996729856)\n",
      "('Denmark', 'Classical', -0.0061938712395535533)\n",
      "('amazon_total_streams', 'Pakistan', -0.0061909077336800853)\n",
      "('google_total_downloads', 'Sweden', 0.0061908080609586903)\n",
      "('spotify_total_streams', 'Israel', 0.006182479458666742)\n",
      "('youtube_audio_streams', 'Czech Republic', -0.0061759123267626954)\n",
      "('youtube_audio_streams', 'Denmark', -0.006171209450981336)\n",
      "('spotify_playlist_streams', 'India', -0.0061701384118177643)\n",
      "('spotify_passive_streams', 'Russia', -0.0061501652268694208)\n",
      "('shazam_total_streams', 'Uruguay', -0.0061002497732454948)\n",
      "('Italy', 'Folk', -0.0060966616799579343)\n",
      "('World Music', 'Russia', -0.0060911478802400205)\n",
      "('Punk', 'Canada', -0.0060770698418705993)\n",
      "('Spain', 'Soundtracks', -0.0060671679639644881)\n",
      "('apple_active_streams', 'Pakistan', -0.0060529688023719134)\n",
      "('spotify_active_streams', 'Greece', -0.0060524807363269723)\n",
      "('Japan', 'Folk', -0.0060475085402527931)\n",
      "('num_active_releases', 'Uruguay', -0.0060142388754109615)\n",
      "('amazon_total_streams', 'New Age', 0.0059982303610759914)\n",
      "('USA', 'Holiday', 0.0059888329518024992)\n",
      "('num_active_releases', 'Reggae', -0.0059729233102264172)\n",
      "('amazon_total_downloads', 'India', -0.0059687606915350966)\n",
      "('spotify_passive_streams', 'Austria', -0.0059686387366615573)\n",
      "('Mexico', \"Children's\", -0.0059556564113047569)\n",
      "('spotify_playlist_streams', 'Austria', -0.0059456519218456559)\n",
      "('shazam_total_streams', 'South Africa', -0.005937750559630201)\n",
      "('spotify_total_streams', 'Austria', -0.0059294379630897417)\n",
      "('spotify_active_streams', 'Austria', -0.0059132376286772986)\n",
      "('apple_passive_streams', 'Germany', 0.0059110018869907915)\n",
      "('apple_passive_streams', 'South Africa', -0.0058950238649795829)\n",
      "('Venezuela', 'Latin Music', -0.0058942008332937175)\n",
      "('United Kingdom', 'Christian', -0.0058893687766621728)\n",
      "('Canada', 'Blues', -0.0058854563695905819)\n",
      "('shazam_total_streams', 'Soundtracks', -0.0058681294243894105)\n",
      "('spotify_collection_streams', 'Austria', -0.0058638833668308793)\n",
      "('google_total_downloads', 'Switzerland', -0.0058565374505457493)\n",
      "('spotify_collection_streams', 'Russia', -0.0058453634131569471)\n",
      "('apple_passive_streams', 'Russia', -0.0058311738222493002)\n",
      "('apple_collection_streams', 'Classical', 0.0058007095615008209)\n",
      "('Denmark', 'Blues', -0.0057971359917930983)\n",
      "('Pop', 'Austria', -0.005789338596490631)\n",
      "('pandora_total_streams', 'Uruguay', -0.0057850091417866404)\n",
      "('spotify_passive_streams', 'Christian', 0.0057783202296665193)\n",
      "('World Music', 'Netherlands', -0.0057725639850315577)\n",
      "('apple_active_streams', 'Brazil', -0.0057694586545870797)\n",
      "('youtube_audio_streams', 'Austria', -0.0057548120027450583)\n",
      "('apple_collection_streams', 'Blues', 0.0057350782933508161)\n",
      "('Germany', \"Children's\", -0.0057241736289107047)\n",
      "('pandora_total_streams', 'Argentina', -0.0057183398496071071)\n",
      "('spotify_playlist_streams', 'Uruguay', -0.0057029026608746737)\n",
      "('itunes_total_downloads', 'Venezuela', -0.0057015993407484294)\n",
      "('shazam_total_streams', 'Russia', -0.0056873846193900074)\n",
      "('youtube_audio_streams', 'South Africa', -0.0056808456536542092)\n",
      "('spotify_playlist_streams', 'Japan', -0.0056718765992423382)\n",
      "('apple_passive_streams', 'India', -0.0056633256071780885)\n",
      "('num_active_releases', 'interaction', -0.0056552751323858284)\n",
      "('google_total_downloads', 'World Music', 0.0056270654405808336)\n",
      "('pandora_total_streams', 'Brazil', -0.0056246927812309945)\n",
      "('cd_revenue', 'Classical', -0.0056237094145220046)\n",
      "('South Africa', 'Pop', -0.0056155817603558032)\n",
      "('Rock', 'Mexico', -0.0056100547045346586)\n",
      "('apple_collection_streams', 'Belgium', -0.0056065180727030064)\n",
      "('apple_passive_streams', 'Belgium', -0.0056018916094477721)\n",
      "('num_active_releases', 'France', -0.0055968374466110783)\n",
      "('spotify_playlist_streams', 'Belgium', -0.0055941654277773699)\n",
      "('itunes_total_downloads', 'Belgium', -0.0055858045319758139)\n",
      "('alexa_total_streams', 'Pakistan', -0.0055841865281617848)\n",
      "('youtube_audio_streams', 'Greece', -0.005577723410049233)\n",
      "('num_active_releases', 'Belgium', -0.0055749868854170605)\n",
      "('apple_total_streams', 'Belgium', -0.0055474444025766026)\n",
      "('spotify_passive_streams', 'Belgium', -0.0055074272366440668)\n",
      "('youtube_audio_streams', 'Belgium', -0.0054907100797466721)\n",
      "('spotify_active_streams', 'Argentina', -0.0054817581034264156)\n",
      "('shazam_total_streams', 'Christian', -0.0054743997206528911)\n",
      "('apple_passive_streams', 'Chile', -0.0054657624509192766)\n",
      "('shazam_total_streams', 'India', -0.0054588809929890436)\n",
      "('apple_passive_streams', 'Switzerland', -0.0054521536354267984)\n",
      "('amazon_total_downloads', 'Chile', -0.0054502344416321657)\n",
      "('spotify_passive_streams', 'Cyprus', -0.005427470257836668)\n",
      "('spotify_total_streams', 'Cyprus', -0.005427470257836668)\n",
      "('spotify_passive_streams', 'Pakistan', -0.0054091975934857268)\n",
      "('apple_passive_streams', 'France', 0.0053886635925552203)\n",
      "('pandora_total_streams', 'South Africa', -0.0053686503607841265)\n",
      "('spotify_playlist_streams', 'Czech Republic', -0.0053530940308371315)\n",
      "('google_total_downloads', 'R&B', 0.0053449604744314535)\n",
      "('pandora_total_streams', 'Reggae', -0.0053448795145579434)\n",
      "('spotify_playlist_streams', 'Switzerland', -0.0053404094696440927)\n",
      "('spotify_collection_streams', 'Belgium', -0.0053330799711504709)\n",
      "('spotify_collection_streams', 'Australia', 0.0053172428912598565)\n",
      "('spotify_passive_streams', 'Spain', -0.0052983858783090202)\n",
      "('spotify_total_streams', 'Belgium', -0.0052761449069227183)\n",
      "('shazam_total_streams', 'Greece', -0.0052660968588752934)\n",
      "('amazon_total_downloads', 'Brazil', -0.0052390317979392718)\n",
      "('spotify_collection_streams', 'Argentina', -0.0052243955292858536)\n",
      "('spotify_total_streams', 'Argentina', -0.0052235486686094739)\n",
      "('United Kingdom', 'Spoken Word', -0.0052107740457052673)\n",
      "('amazon_total_downloads', 'Austria', -0.0052065947101525333)\n",
      "('spotify_total_streams', 'Australia', 0.0051946445527805358)\n",
      "('spotify_collection_streams', 'Pakistan', -0.0051877320778851719)\n",
      "('amazon_total_downloads', 'Cuba', -0.0051795030008188322)\n",
      "('shazam_total_streams', 'Cyprus', -0.0051789315062852484)\n",
      "('youtube_audio_streams', 'Italy', -0.0051708614416144556)\n",
      "('google_total_downloads', 'Cuba', -0.0051547107135329054)\n",
      "('World Music', 'Ireland', -0.0051490405517213124)\n",
      "('google_total_downloads', 'Belgium', -0.0051463142854300597)\n",
      "('Country', 'Canada', -0.0051142213526750128)\n",
      "('amazon_total_streams', 'Russia', -0.0051110779481217889)\n",
      "('youtube_audio_streams', 'Cyprus', -0.0050965985609525031)\n",
      "('United Kingdom', 'Latin Music', -0.0050880669947360119)\n",
      "('alexa_total_streams', 'Cyprus', -0.0050787057553164693)\n",
      "('Electronic', 'Australia', -0.0050700128421000612)\n",
      "('apple_active_streams', 'Belgium', -0.0050674290268534344)\n",
      "('spotify_passive_streams', 'Argentina', -0.0050583987835747003)\n",
      "('num_active_releases', 'Japan', -0.0050236843947523025)\n",
      "('spotify_total_streams', 'Pakistan', -0.0050212829226180151)\n",
      "('Metal', 'Canada', -0.0049789425611015238)\n",
      "('total_physical_rev', 'Classical', -0.0049625647486392669)\n",
      "('alexa_total_streams', 'Belgium', -0.0049436749372691316)\n",
      "('Sweden', 'Rock', -0.0049322834168579067)\n",
      "('New Age', 'Italy', -0.0049297399590764387)\n",
      "('spotify_passive_streams', 'Australia', 0.0049267240820002386)\n",
      "('itunes_total_downloads', 'Cuba', -0.0048892910017720951)\n",
      "('pandora_total_streams', 'Greece', -0.0048856958156411334)\n",
      "('spotify_active_streams', 'Belgium', -0.0048808570411510849)\n",
      "('alexa_total_streams', 'Italy', 0.0048700234784214147)\n",
      "('Electronic', 'Austria', -0.0048649351866010739)\n",
      "('spotify_playlist_streams', 'Pakistan', -0.0048543981510155423)\n",
      "('amazon_total_streams', 'Japan', -0.004839525608586962)\n",
      "('apple_total_streams', 'Blues', 0.0048352211857061143)\n",
      "('google_total_downloads', 'Soundtracks', -0.0048337735783635363)\n",
      "('spotify_playlist_streams', 'Russia', -0.004833688358605235)\n",
      "('shazam_total_streams', 'Italy', 0.0048090330118083268)\n",
      "('spotify_active_streams', 'Australia', 0.004793948958505905)\n",
      "('apple_passive_streams', 'Spoken Word', 0.0047938014589885367)\n",
      "('amazon_total_streams', 'Switzerland', -0.0047937862047185507)\n",
      "('youtube_audio_streams', 'Spoken Word', 0.0047930468360816436)\n",
      "('amazon_total_streams', 'Greece', -0.0047878170007032489)\n",
      "('spotify_playlist_streams', 'Argentina', -0.004787472151629865)\n",
      "('Netherlands', \"Children's\", -0.0047775752039567604)\n",
      "('apple_collection_streams', 'Spain', -0.0047737403884317723)\n",
      "('pandora_total_streams', 'Austria', -0.0047650445743058273)\n",
      "('pandora_total_streams', 'Russia', -0.0047430403692493763)\n",
      "('youtube_audio_streams', 'Venezuela', -0.0047420322547805345)\n",
      "('total_physical_rev', 'United Kingdom', 0.0047303598013688003)\n",
      "('cd_revenue', 'United Kingdom', 0.0047292139044669739)\n",
      "('shazam_total_streams', 'Netherlands', 0.0047234638703694577)\n",
      "('Spoken Word', 'Czech Republic', -0.0047146742504003449)\n",
      "('alexa_total_streams', 'Spoken Word', 0.0047112813263662182)\n",
      "('num_active_releases', 'Australia', -0.0047101127616040418)\n",
      "('Rock', 'Japan', -0.0046859815026409424)\n",
      "('spotify_total_streams', 'Jamaica', 0.0046718062541690241)\n",
      "('spotify_passive_streams', 'Jamaica', 0.0046718062541690145)\n",
      "('spotify_collection_streams', 'Jamaica', 0.0046718062541690085)\n",
      "('spotify_active_streams', 'Jamaica', 0.0046718062541690059)\n",
      "('itunes_total_downloads', 'Jamaica', 0.0046718062541689981)\n",
      "('google_total_downloads', 'Jamaica', 0.0046718062541689937)\n",
      "('num_active_releases', 'Jamaica', 0.0046718062541689937)\n",
      "('Reggae', 'Jamaica', 0.0046718062541689937)\n",
      "('amazon_total_downloads', 'Jamaica', 0.0046718062541689902)\n",
      "('apple_collection_streams', 'Jamaica', 0.0046718062541689902)\n",
      "('alexa_total_streams', 'Jamaica', 0.0046718062541689868)\n",
      "('apple_active_streams', 'Jamaica', 0.0046718062541689868)\n",
      "('spotify_playlist_streams', 'Jamaica', 0.0046718062541689868)\n",
      "('apple_total_streams', 'Jamaica', 0.0046718062541689764)\n",
      "('shazam_total_streams', 'Jamaica', 0.0046718062541689764)\n",
      "('amazon_total_streams', 'Jamaica', 0.0046718062541689755)\n",
      "('youtube_audio_streams', 'Jamaica', 0.0046718062541689729)\n",
      "('pandora_total_streams', 'Jamaica', 0.0046718062541689686)\n",
      "('apple_passive_streams', 'Jamaica', 0.0046718062541689651)\n",
      "('Netherlands', 'Holiday', -0.0046664463701171274)\n",
      "('spotify_playlist_streams', 'Venezuela', -0.0046565964206763694)\n",
      "('Pop', 'Canada', -0.0046440963111528616)\n",
      "('spotify_active_streams', 'Pakistan', -0.0046411728921010639)\n",
      "('apple_active_streams', 'Spoken Word', 0.0046371434430042642)\n",
      "('spotify_active_streams', 'Israel', 0.0046138117439803849)\n",
      "('num_active_releases', 'Sweden', -0.0046111296311390085)\n",
      "('pandora_total_streams', 'Pakistan', -0.0046068589486342251)\n",
      "('spotify_passive_streams', 'Venezuela', -0.0045979990561696785)\n",
      "('apple_collection_streams', 'Cuba', -0.0045944034655699554)\n",
      "('shazam_total_streams', 'Czech Republic', -0.0045935486341923387)\n",
      "('spotify_total_streams', 'Venezuela', -0.0045854209159761003)\n",
      "('apple_active_streams', 'Cuba', -0.0045772024618264016)\n",
      "('amazon_total_streams', 'Czech Republic', -0.004546550552541483)\n",
      "('google_total_downloads', 'Classical', 0.004543559021537546)\n",
      "('spotify_collection_streams', 'Venezuela', -0.0045368757261654924)\n",
      "('num_active_releases', 'South Korea', -0.0045342920088936632)\n",
      "('google_total_downloads', 'Egypt', -0.0045172850144697954)\n",
      "('World Music', 'Egypt', -0.0045105685092856253)\n",
      "('apple_total_streams', 'Spoken Word', 0.0044956420269322015)\n",
      "('amazon_total_streams', 'Cyprus', -0.0044799388343382844)\n",
      "('amazon_total_streams', 'Spoken Word', 0.0044706082163080887)\n",
      "('apple_total_streams', 'Cuba', -0.0044674588861813103)\n",
      "('num_active_releases', 'Philippines', -0.0044673812237740638)\n",
      "('itunes_total_downloads', 'Austria', -0.0044669167390913624)\n",
      "('apple_active_streams', 'Austria', -0.0044669167390913606)\n",
      "('New Age', 'Austria', -0.0044669167390913589)\n",
      "('apple_collection_streams', 'Austria', -0.0044669167390913563)\n",
      "('apple_passive_streams', 'Austria', -0.0044669167390913493)\n",
      "('apple_total_streams', 'Austria', -0.0044669167390913485)\n",
      "('Sweden', 'Jazz', -0.0044642477612633798)\n",
      "('Spain', 'Classical', -0.0044619834895283225)\n",
      "('Turkey', 'Folk', -0.0044592627521438995)\n",
      "('alexa_total_streams', 'Argentina', -0.0044588442799661379)\n",
      "('Metal', 'Czech Republic', -0.0044583005958535715)\n",
      "('Sweden', 'Classical', -0.0044568116738191339)\n",
      "('spotify_collection_streams', 'Hungary', -0.0044518083738551862)\n",
      "('itunes_total_downloads', 'Hungary', -0.0044518083738551836)\n",
      "('spotify_active_streams', 'Hungary', -0.0044518083738551784)\n",
      "('amazon_total_streams', 'Hungary', -0.0044518083738551749)\n",
      "('apple_passive_streams', 'Hungary', -0.0044518083738551732)\n",
      "('spotify_playlist_streams', 'Hungary', -0.0044518083738551732)\n",
      "('spotify_total_streams', 'Hungary', -0.0044518083738551732)\n",
      "('Latin Music', 'Hungary', -0.0044518083738551723)\n",
      "('apple_total_streams', 'Hungary', -0.0044518083738551706)\n",
      "('amazon_total_downloads', 'Hungary', -0.0044518083738551697)\n",
      "('google_total_downloads', 'Hungary', -0.0044518083738551697)\n",
      "('youtube_audio_streams', 'Hungary', -0.0044518083738551697)\n",
      "('apple_collection_streams', 'Hungary', -0.0044518083738551671)\n",
      "('apple_active_streams', 'Hungary', -0.0044518083738551654)\n",
      "('num_active_releases', 'Hungary', -0.0044518083738551628)\n",
      "('spotify_passive_streams', 'Hungary', -0.0044518083738551619)\n",
      "('spotify_playlist_streams', 'Netherlands', 0.0044508055678686249)\n",
      "('Spain', 'Electronic', -0.0044481074601111633)\n",
      "('World Music', 'Czech Republic', -0.0044414378760770593)\n",
      "('alexa_total_streams', 'Switzerland', -0.0044383107553681465)\n",
      "('Rock', 'Germany', -0.0044347932331778262)\n",
      "('youtube_audio_streams', 'United Kingdom', 0.0044311670773922937)\n",
      "('spotify_active_streams', 'Venezuela', -0.0044296129911997528)\n",
      "('South Korea', 'Classical', -0.0044289004814228169)\n",
      "('Greece', 'Classical', -0.0044272698938585663)\n",
      "('Germany', 'Folk', -0.0044261068230474375)\n",
      "('Sweden', 'Blues', -0.0044223138529282781)\n",
      "('cd_revenue', 'Jazz', -0.0044218451757030083)\n",
      "('France', 'Classical', -0.0044211784586218475)\n",
      "('youtube_audio_streams', 'Classical', 0.0044105109705843025)\n",
      "('Latin Music', 'France', -0.0044050940440519409)\n",
      "('num_cds', 'Latin Music', -0.0044021222552903024)\n",
      "('Soundtracks', 'India', -0.0043913309150376313)\n",
      "('spotify_passive_streams', 'Israel', 0.0043829668741775588)\n",
      "('amazon_total_streams', 'Belgium', -0.0043818024835936822)\n",
      "('shazam_total_streams', 'Venezuela', -0.0043797902913613454)\n",
      "('alexa_total_streams', 'Russia', -0.0043763502716176869)\n",
      "('Folk', 'Denmark', -0.0043752837568141545)\n",
      "('pandora_total_streams', 'Czech Republic', -0.0043741616660631939)\n",
      "('spotify_collection_streams', 'Kuwait', -0.00436943129858023)\n",
      "('amazon_total_streams', 'Kuwait', -0.0043694312985802283)\n",
      "('spotify_total_streams', 'Kuwait', -0.0043694312985802274)\n",
      "('spotify_active_streams', 'Kuwait', -0.0043694312985802248)\n",
      "('shazam_total_streams', 'Kuwait', -0.0043694312985802213)\n",
      "('spotify_playlist_streams', 'Kuwait', -0.0043694312985802213)\n",
      "('spotify_passive_streams', 'Kuwait', -0.0043694312985802205)\n",
      "('apple_collection_streams', 'Kuwait', -0.0043694312985802179)\n",
      "('google_total_downloads', 'Kuwait', -0.0043694312985802179)\n",
      "('World Music', 'Kuwait', -0.0043694312985802179)\n",
      "('apple_passive_streams', 'Kuwait', -0.0043694312985802126)\n",
      "('apple_active_streams', 'Kuwait', -0.0043694312985802074)\n",
      "('apple_total_streams', 'Kuwait', -0.0043694312985802057)\n",
      "('itunes_total_downloads', 'Kuwait', -0.0043694312985802048)\n",
      "('num_active_releases', 'Kuwait', -0.0043694312985802048)\n",
      "('youtube_audio_streams', 'Kuwait', -0.0043694312985801944)\n",
      "('apple_collection_streams', 'Cyprus', -0.0043662630770844096)\n",
      "('apple_passive_streams', 'Cyprus', -0.0043662630770844087)\n",
      "('Rock', 'Cyprus', -0.0043662630770844087)\n",
      "('apple_total_streams', 'Cyprus', -0.0043662630770844061)\n",
      "('itunes_total_downloads', 'Cyprus', -0.0043662630770844009)\n",
      "('Country', 'Australia', -0.0043649677475091813)\n",
      "('apple_collection_streams', 'Egypt', -0.0043618857995836825)\n",
      "('Russia', 'Rock', -0.0043613437518020869)\n",
      "('Rock', 'Ireland', -0.0043610791031073893)\n",
      "('Pop', 'Czech Republic', -0.0043502165194703258)\n",
      "('total_physical_rev', 'Latin Music', -0.0043461360531286668)\n",
      "('cd_revenue', 'Latin Music', -0.0043458804323238034)\n",
      "('pandora_total_streams', 'Cyprus', -0.0043420043268886186)\n",
      "('num_cds', 'Netherlands', -0.0043351810728149602)\n",
      "('cd_revenue', 'Netherlands', -0.0043264139434033245)\n",
      "('Holiday', 'Canada', -0.004316885843146173)\n",
      "('spotify_active_streams', 'Spoken Word', 0.004314203427464065)\n",
      "('spotify_passive_streams', 'Germany', -0.0043105985168803186)\n",
      "('Metal', 'Italy', -0.00431022621154539)\n",
      "('Portugal', 'Classical', -0.0042999023201562413)\n",
      "('apple_total_streams', 'Egypt', -0.0042975325989775834)\n",
      "('amazon_total_downloads', 'Denmark', -0.0042974280491748281)\n",
      "('google_total_downloads', 'Venezuela', -0.0042847839800723604)\n",
      "('apple_active_streams', 'Egypt', -0.0042745841569643882)\n",
      "('Electronic', 'Argentina', -0.0042744025337895205)\n",
      "('apple_collection_streams', 'Spoken Word', 0.0042676273970877511)\n",
      "('total_physical_rev', 'Jazz', -0.0042599863473281527)\n",
      "('apple_passive_streams', 'Japan', -0.004246575449536041)\n",
      "('Hip-hop/Rap', 'Canada', -0.0042370294114924449)\n",
      "('Russia', 'Punk', -0.0042365663397738807)\n",
      "('num_active_releases', 'Soundtracks', -0.0042337670069208626)\n",
      "('spotify_passive_streams', 'Holiday', 0.0042235219826129737)\n",
      "('amazon_total_streams', 'Cuba', -0.0042109489074817355)\n",
      "('alexa_total_streams', 'South Korea', -0.0042104719355335355)\n",
      "('amazon_total_downloads', 'Egypt', -0.0042075630297545973)\n",
      "('Italy', 'Classical', -0.0042004526853071716)\n",
      "('Rock', 'Canada', -0.004199903425909546)\n",
      "('Pop', 'Australia', -0.0041974604403936791)\n",
      "('num_active_releases', 'Egypt', -0.0041932696469666238)\n",
      "('amazon_total_streams', 'Venezuela', -0.0041924547578898325)\n",
      "('Israel', 'Hip-hop/Rap', 0.0041901598885363692)\n",
      "('num_active_releases', 'Turkey', 0.0041882050175710795)\n",
      "('apple_collection_streams', 'Venezuela', -0.0041807718868006266)\n",
      "('shazam_total_streams', 'interaction', -0.0041799018252130261)\n",
      "('Classical', 'Australia', -0.004179676916230687)\n",
      "('spotify_collection_streams', 'interaction', -0.0041793671250742433)\n",
      "('apple_passive_streams', 'Venezuela', -0.0041743471568388363)\n",
      "('Punk', 'Netherlands', -0.0041712742320657711)\n",
      "('itunes_total_downloads', 'interaction', -0.0041705043072156386)\n",
      "('Ireland', 'Country', -0.0041668667432782558)\n",
      "('Pop', 'Israel', -0.004163417183722172)\n",
      "('South Africa', \"Children's\", -0.0041473456930363481)\n",
      "('youtube_audio_streams', 'Holiday', 0.0041326099754602393)\n",
      "('apple_total_streams', 'Venezuela', -0.0041293633247170055)\n",
      "('itunes_total_downloads', 'Spain', -0.0041205188703645687)\n",
      "('Sweden', 'Hip-hop/Rap', 0.0041182450305347522)\n",
      "('alexa_total_streams', 'Venezuela', -0.0041085741175524923)\n",
      "('spotify_playlist_streams', 'Greece', -0.0041041350387100847)\n",
      "('pandora_total_streams', 'New Age', 0.0041016799871751598)\n",
      "('itunes_total_downloads', 'Egypt', -0.0040877052635475246)\n",
      "('Sweden', 'R&B', -0.0040765080548088341)\n",
      "('spotify_total_streams', 'interaction', -0.004071479734390147)\n",
      "('spotify_playlist_streams', 'interaction', -0.004069979829618031)\n",
      "('Spain', 'R&B', -0.0040685416978993062)\n",
      "('pandora_total_streams', 'Japan', -0.0040675374132787042)\n",
      "('num_cds', 'World Music', -0.0040651950175946581)\n",
      "('total_physical_rev', 'World Music', -0.0040651950175946572)\n",
      "('cd_revenue', 'World Music', -0.0040651950175946555)\n",
      "('pandora_total_streams', 'Venezuela', -0.0040634608530146785)\n",
      "('pandora_total_streams', 'Chile', -0.0040633440701056452)\n",
      "('Jazz', 'Italy', -0.0040395196859850588)\n",
      "('itunes_total_downloads', 'Denmark', 0.004034454315301703)\n",
      "('google_total_downloads', 'Folk', -0.0040344493521628716)\n",
      "('pandora_total_streams', 'Belgium', -0.0040266534432850465)\n",
      "('Electronic', 'Belgium', -0.0040266534432850439)\n",
      "('amazon_total_downloads', 'Belgium', -0.0040266534432850335)\n",
      "('amazon_total_streams', 'Austria', -0.0040134973555378296)\n",
      "('Jazz', 'Cyprus', -0.0040102961618162774)\n",
      "('apple_passive_streams', 'Egypt', -0.0040086861793984761)\n",
      "('shazam_total_streams', 'Belgium', -0.0040028863758103149)\n",
      "('Holiday', 'Germany', -0.0039957528903269111)\n",
      "('apple_active_streams', 'Venezuela', -0.0039869579694106387)\n",
      "('total_physical_rev', 'Netherlands', -0.0039709898280184137)\n",
      "('Hip-hop/Rap', 'Finland', -0.003970937862706558)\n",
      "('Russia', 'Pop', -0.0039609977343749055)\n",
      "('cd_revenue', 'Folk', -0.0039552349667376554)\n",
      "('num_cds', 'Folk', -0.0039552349667376476)\n",
      "('total_physical_rev', 'Folk', -0.003955234966737632)\n",
      "('alexa_total_streams', 'Japan', -0.0039536717264021188)\n",
      "('shazam_total_streams', 'Sweden', 0.0039519867056298863)\n",
      "('Sweden', 'Folk', -0.0039388601476808196)\n",
      "('United Kingdom', 'Metal', 0.0039369078681634013)\n",
      "('youtube_audio_streams', 'Egypt', -0.0039305338779864378)\n",
      "('pandora_total_streams', 'interaction', -0.0039284184124530122)\n",
      "('spotify_passive_streams', 'interaction', -0.0039233998830209473)\n",
      "('Hip-hop/Rap', 'Belgium', -0.0038999572480343746)\n",
      "('alexa_total_streams', 'New Age', 0.0038866073526308952)\n",
      "('France', 'Christian', -0.0038735479427160374)\n",
      "('Latin Music', 'Germany', -0.0038455933759331054)\n",
      "('amazon_total_downloads', 'Folk', -0.0038380806055739658)\n",
      "('num_cds', 'Soundtracks', -0.0038333569174441992)\n",
      "('spotify_playlist_streams', 'Holiday', 0.003800078325292092)\n",
      "('youtube_audio_streams', 'South Korea', -0.0037949993995831733)\n",
      "('pandora_total_streams', 'Spoken Word', 0.0037686412764565509)\n",
      "('World Music', 'Japan', -0.0037453043732733086)\n",
      "('google_total_downloads', 'Denmark', -0.0037309985165352296)\n",
      "('itunes_total_downloads', 'New Zealand', -0.0037256557741851461)\n",
      "('total_physical_rev', 'Rock', -0.00371547102832057)\n",
      "('Netherlands', 'Folk', -0.0037092206657771448)\n",
      "('itunes_total_downloads', 'Canada', 0.0037003631394224266)\n",
      "('cd_revenue', 'Canada', 0.0036889440937322446)\n",
      "('amazon_total_streams', 'Canada', 0.0036533895247887042)\n",
      "('amazon_total_streams', 'Brazil', -0.0036502702744918656)\n",
      "('pandora_total_streams', 'Cuba', -0.0036489756803606169)\n",
      "('spotify_active_streams', 'Netherlands', 0.0036457266945170061)\n",
      "('total_physical_rev', 'Canada', 0.0036359801032030139)\n",
      "('num_active_releases', 'Czech Republic', -0.0036309919040441521)\n",
      "('cd_revenue', 'Electronic', 0.0036094139490819772)\n",
      "('apple_total_streams', 'Japan', -0.0036043112198793294)\n",
      "('Hip-hop/Rap', 'Austria', -0.0036023945574269797)\n",
      "('alexa_total_streams', 'Chile', -0.0035886435381260046)\n",
      "('spotify_active_streams', 'Holiday', 0.0035856414931062508)\n",
      "('shazam_total_streams', 'Australia', -0.0035817696729328421)\n",
      "('spotify_active_streams', 'Philippines', -0.0035805910523530517)\n",
      "('amazon_total_streams', 'South Korea', -0.0035715347641392826)\n",
      "('total_physical_rev', 'Electronic', 0.0035694506155690303)\n",
      "('apple_active_streams', 'Japan', -0.0035686604911398545)\n",
      "('apple_collection_streams', 'Japan', -0.0035669743539079855)\n",
      "('spotify_total_streams', 'Philippines', -0.003522984230758394)\n",
      "('spotify_active_streams', 'interaction', -0.0035111846534976302)\n",
      "('youtube_audio_streams', 'Spain', -0.0035088520682999488)\n",
      "('apple_passive_streams', 'Ireland', 0.0035087563139970667)\n",
      "('Italy', 'Electronic', -0.0035049818984735333)\n",
      "('spotify_collection_streams', 'Philippines', -0.0035015184585674361)\n",
      "('amazon_total_downloads', 'Czech Republic', -0.003498795560354448)\n",
      "('spotify_passive_streams', 'Colombia', -0.0034978315063672809)\n",
      "('apple_total_streams', 'Colombia', -0.0034978315063672804)\n",
      "('apple_passive_streams', 'Colombia', -0.00349783150636728)\n",
      "('num_active_releases', 'Colombia', -0.00349783150636728)\n",
      "('amazon_total_streams', 'Colombia', -0.0034978315063672791)\n",
      "('apple_active_streams', 'Colombia', -0.0034978315063672791)\n",
      "('apple_collection_streams', 'Colombia', -0.0034978315063672791)\n",
      "('pandora_total_streams', 'Colombia', -0.0034978315063672791)\n",
      "('spotify_active_streams', 'Colombia', -0.0034978315063672791)\n",
      "('spotify_collection_streams', 'Colombia', -0.0034978315063672791)\n",
      "('spotify_playlist_streams', 'Colombia', -0.0034978315063672791)\n",
      "('youtube_audio_streams', 'Colombia', -0.0034978315063672791)\n",
      "('alexa_total_streams', 'Colombia', -0.0034978315063672787)\n",
      "('amazon_total_downloads', 'Colombia', -0.0034978315063672787)\n",
      "('google_total_downloads', 'Colombia', -0.0034978315063672787)\n",
      "('itunes_total_downloads', 'Colombia', -0.0034978315063672787)\n",
      "('shazam_total_streams', 'Colombia', -0.0034978315063672787)\n",
      "('Latin Music', 'Colombia', -0.0034978315063672787)\n",
      "('spotify_total_streams', 'Colombia', -0.0034978315063672783)\n",
      "('itunes_total_downloads', 'Romania', -0.0034828774555547867)\n",
      "('google_total_downloads', 'Romania', -0.0034828774555547819)\n",
      "('spotify_total_streams', 'Romania', -0.0034828774555547793)\n",
      "('apple_total_streams', 'Romania', -0.0034828774555547759)\n",
      "('spotify_active_streams', 'Romania', -0.0034828774555547754)\n",
      "('shazam_total_streams', 'Romania', -0.0034828774555547733)\n",
      "('apple_passive_streams', 'Romania', -0.0034828774555547711)\n",
      "('Soundtracks', 'Romania', -0.0034828774555547711)\n",
      "('spotify_passive_streams', 'Romania', -0.0034828774555547707)\n",
      "('youtube_audio_streams', 'Romania', -0.0034828774555547702)\n",
      "('apple_active_streams', 'Romania', -0.0034828774555547694)\n",
      "('spotify_collection_streams', 'Romania', -0.0034828774555547646)\n",
      "('alexa_total_streams', 'Romania', -0.0034828774555547633)\n",
      "('amazon_total_downloads', 'Romania', -0.0034828774555547633)\n",
      "('apple_collection_streams', 'Romania', -0.0034828774555547633)\n",
      "('num_active_releases', 'Romania', -0.0034828774555547633)\n",
      "('amazon_total_streams', 'Romania', -0.003482877455554762)\n",
      "('alexa_total_streams', 'Cuba', -0.0034813094570388101)\n",
      "('spotify_passive_streams', 'South Korea', -0.0034678796583780792)\n",
      "('spotify_collection_streams', 'South Korea', -0.0034676082763241802)\n",
      "('youtube_audio_streams', 'Cuba', -0.0034640251944794845)\n",
      "('amazon_total_streams', 'Egypt', -0.0034490740460672575)\n",
      "('spotify_collection_streams', 'Egypt', -0.0034405216641233182)\n",
      "('spotify_active_streams', 'Egypt', -0.0034405216641233138)\n",
      "('alexa_total_streams', 'Egypt', -0.0034405216641233091)\n",
      "('spotify_playlist_streams', 'Egypt', -0.0034405216641233091)\n",
      "('spotify_total_streams', 'Egypt', -0.0034405216641233065)\n",
      "('spotify_passive_streams', 'Egypt', -0.0034405216641233056)\n",
      "('spotify_total_streams', 'South Korea', -0.003437457953901843)\n",
      "('Turkey', 'Rock', -0.0034299969886196937)\n",
      "('num_active_releases', 'R&B', -0.0034293230429753171)\n",
      "('shazam_total_streams', 'Austria', -0.0034187204479861066)\n",
      "('itunes_total_downloads', 'South Korea', -0.0034161315481836523)\n",
      "('spotify_active_streams', 'Cuba', -0.0034096082889601685)\n",
      "('alexa_total_streams', 'Austria', -0.00339970726883993)\n",
      "('num_cds', 'num_active_releases', 0.0033960770524583089)\n",
      "('Venezuela', 'Pop', -0.0033791669468417676)\n",
      "('USA', 'Metal', 0.0033632117759648922)\n",
      "('spotify_active_streams', 'South Korea', -0.0033451422310887494)\n",
      "('alexa_total_streams', 'Netherlands', 0.0033397229899684426)\n",
      "('apple_collection_streams', 'South Korea', -0.0033346504019574419)\n",
      "('apple_total_streams', 'South Korea', -0.0033304833860584309)\n",
      "('apple_active_streams', 'South Korea', -0.0033282162157282145)\n",
      "('spotify_collection_streams', 'Cuba', -0.0033268048641387424)\n",
      "('amazon_total_downloads', 'South Korea', -0.0033009157773682533)\n",
      "('Israel', 'Folk', -0.0032948857354879774)\n",
      "('alexa_total_streams', 'Canada', 0.0032909954199699782)\n",
      "('New Age', 'Canada', -0.0032810540098677336)\n",
      "('Netherlands', 'Electronic', -0.0032769054125090687)\n",
      "('apple_passive_streams', 'South Korea', -0.00327079166286695)\n",
      "('United Kingdom', 'R&B', 0.0032590630573598504)\n",
      "('spotify_playlist_streams', 'South Korea', -0.0032347325825009192)\n",
      "('shazam_total_streams', 'South Korea', -0.0032323994709503928)\n",
      "('World Music', 'South Korea', -0.0032323994709503759)\n",
      "('google_total_downloads', 'South Korea', -0.0032323994709503603)\n",
      "('USA', 'R&B', -0.0032283970844001731)\n",
      "('alexa_total_streams', 'Puerto Rico', 0.0032277344851472742)\n",
      "('pandora_total_streams', 'Puerto Rico', 0.0032277344851472673)\n",
      "('google_total_downloads', 'Puerto Rico', 0.00322773448514725)\n",
      "('youtube_audio_streams', 'interaction', -0.0032068535176119498)\n",
      "('spotify_passive_streams', 'Philippines', -0.0032054826763758546)\n",
      "('shazam_total_streams', 'Ireland', -0.0031984302215144491)\n",
      "('cd_revenue', 'Country', -0.0031886749823350539)\n",
      "('alexa_total_streams', 'Greece', -0.0031850356087074648)\n",
      "('apple_passive_streams', 'Cuba', -0.0031827056119816998)\n",
      "('spotify_collection_streams', 'Spoken Word', 0.0031782417868871636)\n",
      "('youtube_audio_streams', 'Puerto Rico', 0.0031497688146301349)\n",
      "('num_cds', 'Holiday', -0.0031388046484450136)\n",
      "('pandora_total_streams', 'Germany', 0.0031087078300919041)\n",
      "('amazon_total_downloads', 'Spoken Word', -0.0031069452423941541)\n",
      "('pandora_total_streams', 'World Music', -0.0031036018061140654)\n",
      "('pandora_total_streams', 'Denmark', -0.0030823178106331095)\n",
      "('total_physical_rev', 'Country', -0.003078667415439741)\n",
      "('google_total_downloads', 'Austria', -0.0030754524349079259)\n",
      "('spotify_passive_streams', 'Folk', -0.003072777397713946)\n",
      "('pandora_total_streams', 'Israel', -0.0030683856960527071)\n",
      "('itunes_total_downloads', 'Taiwan', -0.0030412061070594705)\n",
      "('spotify_active_streams', 'Taiwan', -0.0030412061070594675)\n",
      "('apple_passive_streams', 'Taiwan', -0.0030412061070594614)\n",
      "('youtube_audio_streams', 'Taiwan', -0.003041206107059461)\n",
      "('apple_active_streams', 'Taiwan', -0.0030412061070594532)\n",
      "('apple_total_streams', 'Taiwan', -0.0030412061070594523)\n",
      "('spotify_collection_streams', 'Taiwan', -0.0030412061070594519)\n",
      "('amazon_total_streams', 'Taiwan', -0.0030412061070594501)\n",
      "('World Music', 'Taiwan', -0.0030412061070594501)\n",
      "('apple_collection_streams', 'Taiwan', -0.0030412061070594454)\n",
      "('num_active_releases', 'Taiwan', -0.0030412061070594436)\n",
      "('amazon_total_downloads', 'Taiwan', -0.0030412061070594415)\n",
      "('spotify_total_streams', 'Taiwan', -0.0030412061070594384)\n",
      "('alexa_total_streams', 'Taiwan', -0.0030412061070594293)\n",
      "('spotify_passive_streams', 'Taiwan', -0.0030412061070594285)\n",
      "('spotify_total_streams', 'Cuba', -0.0030394459415558324)\n",
      "('spotify_passive_streams', 'Puerto Rico', 0.0030390044097042342)\n",
      "('shazam_total_streams', 'Puerto Rico', 0.0030037391713180605)\n",
      "('spotify_total_streams', 'Spoken Word', 0.0029855817474087757)\n",
      "('spotify_playlist_streams', 'Puerto Rico', 0.0029805698504025285)\n",
      "('spotify_total_streams', 'Puerto Rico', 0.0029532939727498929)\n",
      "('google_total_downloads', 'Cyprus', -0.0029448711616896798)\n",
      "('amazon_total_downloads', 'New Zealand', -0.0029407639980151804)\n",
      "('shazam_total_streams', 'Egypt', -0.0029370407276744451)\n",
      "('Country', 'Brazil', -0.0029293035379075859)\n",
      "('amazon_total_streams', 'Puerto Rico', 0.0029266777096612711)\n",
      "('spotify_collection_streams', 'Puerto Rico', 0.0029218525280324649)\n",
      "('France', 'Electronic', -0.0029208474467463932)\n",
      "('spotify_total_streams', 'Spain', -0.0028989378780851661)\n",
      "('google_total_downloads', 'Spain', -0.0028986881635472655)\n",
      "('apple_collection_streams', 'Puerto Rico', 0.0028749631078049068)\n",
      "('Portugal', 'Pop', -0.0028722686290055116)\n",
      "('youtube_audio_streams', 'Canada', -0.0028705574630054601)\n",
      "('United Kingdom', 'Holiday', -0.0028642053714212556)\n",
      "('spotify_active_streams', 'Puerto Rico', 0.0028634245986763093)\n",
      "('World Music', 'Chile', -0.0028604997304794988)\n",
      "('amazon_total_downloads', 'Philippines', -0.0028573182954937928)\n",
      "('apple_total_streams', 'Puerto Rico', 0.0028222022541156107)\n",
      "('amazon_total_streams', 'Folk', 0.0028029847520118752)\n",
      "('R&B', 'Cyprus', -0.0027881350780246074)\n",
      "('apple_passive_streams', 'Puerto Rico', 0.0027801674428919185)\n",
      "('shazam_total_streams', 'Cuba', -0.0027758123035810105)\n",
      "('spotify_playlist_streams', 'Philippines', -0.0027427843429775984)\n",
      "('itunes_total_downloads', 'Ireland', 0.0027405036102105102)\n",
      "('apple_active_streams', 'Puerto Rico', 0.0027344192648864583)\n",
      "('Spain', 'Metal', -0.0027003187119378478)\n",
      "('shazam_total_streams', 'Denmark', -0.0026981269463040884)\n",
      "('New Age', 'Australia', -0.0026788102250443146)\n",
      "('itunes_total_downloads', 'Philippines', -0.0026706602978660101)\n",
      "('youtube_audio_streams', 'Philippines', -0.0026204834345748738)\n",
      "('spotify_active_streams', 'Reggae', -0.0026124727964720799)\n",
      "('Netherlands', 'Country', 0.0025967689748961206)\n",
      "('spotify_playlist_streams', 'Germany', -0.0025536057685091626)\n",
      "('spotify_passive_streams', 'Cuba', -0.0025487144282123645)\n",
      "('Sweden', 'Holiday', -0.0025406940699498233)\n",
      "('spotify_playlist_streams', 'Folk', -0.0025234492597241477)\n",
      "('num_active_releases', 'New Zealand', -0.0025213694300816694)\n",
      "('New Zealand', 'Electronic', -0.0025213694300816655)\n",
      "('spotify_playlist_streams', 'Canada', 0.0025133169194935003)\n",
      "('itunes_total_downloads', 'Puerto Rico', 0.0025004683002610652)\n",
      "('apple_active_streams', 'Spain', 0.0024804910348924804)\n",
      "('Venezuela', 'Folk', -0.002452032397325049)\n",
      "('amazon_total_downloads', 'Puerto Rico', 0.0024261440019623741)\n",
      "('apple_passive_streams', 'World Music', 0.0024002771645233994)\n",
      "('alexa_total_streams', 'Brazil', -0.0024001701824760886)\n",
      "('spotify_collection_streams', 'Spain', -0.0024001541618953702)\n",
      "('spotify_collection_streams', 'World Music', 0.0023892812352065309)\n",
      "('alexa_total_streams', 'Denmark', -0.0023100994767864045)\n",
      "('spotify_playlist_streams', 'Spoken Word', -0.0023088618917691804)\n",
      "('pandora_total_streams', 'Spain', 0.0022325100440436312)\n",
      "('apple_passive_streams', 'Israel', -0.0022258250954649283)\n",
      "('spotify_total_streams', 'World Music', 0.0022084867870119759)\n",
      "('Ireland', 'Folk', -0.0022063125892582648)\n",
      "('Classical', 'Argentina', -0.0021644007945934409)\n",
      "('Punk', 'Australia', -0.0021528944563178076)\n",
      "('youtube_audio_streams', 'Ireland', -0.0021373305956181358)\n",
      "('Italy', 'Country', -0.0021279974531094015)\n",
      "('alexa_total_streams', 'Folk', 0.0021145218628869553)\n",
      "('pandora_total_streams', 'Sweden', 0.0021115004028927739)\n",
      "('spotify_playlist_streams', 'Spain', -0.0021084834933274145)\n",
      "('shazam_total_streams', 'R&B', 0.0021060655208092255)\n",
      "('pandora_total_streams', 'Canada', 0.0021018638682173737)\n",
      "('USA', 'Country', 0.0021007274533672623)\n",
      "('cd_revenue', 'Christian', -0.0020983784308991013)\n",
      "('num_cds', 'Christian', -0.0020983784308991004)\n",
      "('total_physical_rev', 'Christian', -0.0020983784308991)\n",
      "('google_total_downloads', 'Christian', 0.0020898410848109905)\n",
      "('pandora_total_streams', 'Folk', -0.0020892592792703256)\n",
      "('spotify_passive_streams', 'World Music', 0.0020580326706209099)\n",
      "('pandora_total_streams', 'Finland', -0.002048650576868434)\n",
      "('amazon_total_downloads', 'Reggae', -0.0020470902745717257)\n",
      "('pandora_total_streams', 'Australia', -0.0020321929717209658)\n",
      "('shazam_total_streams', 'Canada', -0.0020274093406596983)\n",
      "('shazam_total_streams', 'New Age', 0.0020244457423401396)\n",
      "('spotify_passive_streams', 'Spoken Word', -0.0020178843293275116)\n",
      "('spotify_total_streams', 'Folk', -0.00199480092022177)\n",
      "('apple_active_streams', 'Reggae', -0.0019879678486392246)\n",
      "('apple_passive_streams', 'Philippines', -0.0019852590149307854)\n",
      "('Pop', 'Netherlands', 0.0019813435748649482)\n",
      "('shazam_total_streams', 'Country', 0.0019613656399113943)\n",
      "('apple_collection_streams', 'Philippines', -0.0019236695368726822)\n",
      "('Philippines', 'Folk', -0.001900791328281909)\n",
      "('Rock', 'Italy', -0.0018993044499493585)\n",
      "('apple_total_streams', 'Philippines', -0.0018720126778699693)\n",
      "('apple_passive_streams', 'New Age', -0.001860010052403948)\n",
      "('World Music', 'Australia', 0.0018559120889556303)\n",
      "('Latin Music', 'Italy', -0.0018537826778220511)\n",
      "('apple_total_streams', 'Ireland', 0.0018527653522941818)\n",
      "('cd_revenue', 'Rock', -0.0018140342822874479)\n",
      "('spotify_active_streams', 'World Music', 0.0018063946044916497)\n",
      "('spotify_collection_streams', 'Folk', -0.0017925380672920376)\n",
      "('apple_active_streams', 'Ireland', 0.001788278298769957)\n",
      "('spotify_playlist_streams', 'Cuba', -0.0017650417064248474)\n",
      "('pandora_total_streams', 'Ireland', 0.0017385766425611414)\n",
      "('google_total_downloads', 'Philippines', -0.0017276466417177905)\n",
      "('Spain', 'New Age', -0.0017076034554232612)\n",
      "('youtube_audio_streams', 'Folk', 0.0017019600231257595)\n",
      "('apple_collection_streams', 'Israel', 0.0016975891889630516)\n",
      "('apple_active_streams', 'Philippines', -0.0016838340587276854)\n",
      "('amazon_total_downloads', 'Sweden', 0.0016798096346572848)\n",
      "('alexa_total_streams', 'Sweden', -0.0016502764903207402)\n",
      "('alexa_total_streams', 'Philippines', -0.0016297118394608004)\n",
      "('google_total_downloads', 'Australia', -0.0016179914263449581)\n",
      "('spotify_playlist_streams', 'Denmark', 0.0016178541115640253)\n",
      "('World Music', 'Germany', -0.0015927147428362049)\n",
      "('apple_passive_streams', 'Blues', 0.0015439451468081953)\n",
      "('google_total_downloads', 'Reggae', -0.0015438354636802768)\n",
      "('alexa_total_streams', 'New Zealand', -0.0015213759814754243)\n",
      "('spotify_active_streams', 'Denmark', -0.0015183580252426225)\n",
      "('Rock', 'Israel', -0.0014950236935526359)\n",
      "('shazam_total_streams', 'Spoken Word', -0.0014845966441081099)\n",
      "('Sweden', 'Electronic', -0.0014782648728261264)\n",
      "('shazam_total_streams', 'Reggae', 0.0014756792935752012)\n",
      "('amazon_total_streams', 'Reggae', -0.0014311505949329317)\n",
      "('pandora_total_streams', 'France', -0.0014254323845722605)\n",
      "('apple_collection_streams', 'Ireland', 0.0014220446177558551)\n",
      "('spotify_collection_streams', 'Reggae', 0.0014129974739455467)\n",
      "('alexa_total_streams', 'Czech Republic', -0.0013997751010534399)\n",
      "('youtube_audio_streams', 'France', -0.0013865665519632328)\n",
      "('itunes_total_downloads', 'Australia', 0.0013317005049392067)\n",
      "('amazon_total_streams', 'Sweden', -0.0013105827876005039)\n",
      "('Holiday', 'France', -0.0013048964176192856)\n",
      "('google_total_downloads', 'Ireland', 0.0012922358997375719)\n",
      "(\"Children's\", 'Brazil', -0.0012660552146962947)\n",
      "('apple_passive_streams', 'Australia', 0.0012659807609825195)\n",
      "('pandora_total_streams', 'Philippines', -0.0012627074348499365)\n",
      "('spotify_active_streams', 'Spain', -0.0012541215347455863)\n",
      "('apple_active_streams', 'Denmark', -0.0012159654476062234)\n",
      "('google_total_downloads', 'Sri Lanka', -0.0011997751942594429)\n",
      "('spotify_total_streams', 'Sri Lanka', -0.0011997751942594416)\n",
      "('apple_passive_streams', 'Sri Lanka', -0.0011997751942594407)\n",
      "('spotify_active_streams', 'Sri Lanka', -0.0011997751942594403)\n",
      "('amazon_total_streams', 'Sri Lanka', -0.0011997751942594401)\n",
      "('spotify_collection_streams', 'Sri Lanka', -0.0011997751942594394)\n",
      "('apple_total_streams', 'Sri Lanka', -0.0011997751942594379)\n",
      "('pandora_total_streams', 'Sri Lanka', -0.0011997751942594377)\n",
      "('spotify_playlist_streams', 'Sri Lanka', -0.0011997751942594338)\n",
      "('shazam_total_streams', 'Sri Lanka', -0.0011997751942594333)\n",
      "('World Music', 'Sri Lanka', -0.0011997751942594333)\n",
      "('num_active_releases', 'Sri Lanka', -0.001199775194259431)\n",
      "('apple_active_streams', 'Sri Lanka', -0.0011997751942594307)\n",
      "('spotify_passive_streams', 'Sri Lanka', -0.001199775194259429)\n",
      "('amazon_total_downloads', 'Sri Lanka', -0.0011997751942594281)\n",
      "('alexa_total_streams', 'Sri Lanka', -0.001199775194259426)\n",
      "('apple_collection_streams', 'Sri Lanka', -0.0011997751942594257)\n",
      "('itunes_total_downloads', 'Sri Lanka', -0.0011997751942594249)\n",
      "('spotify_passive_streams', 'Ireland', 0.0011444270866344151)\n",
      "('spotify_playlist_streams', 'R&B', 0.0011278489015897997)\n",
      "('spotify_passive_streams', 'Denmark', 0.0011274539398217795)\n",
      "('shazam_total_streams', 'Philippines', -0.0011143881380605996)\n",
      "('amazon_total_streams', 'World Music', -0.0010770063067872925)\n",
      "('apple_total_streams', 'Reggae', -0.0010722312622953442)\n",
      "('itunes_total_downloads', 'Spoken Word', -0.0010692036404405568)\n",
      "('amazon_total_streams', 'Philippines', -0.0010675965326311819)\n",
      "('spotify_active_streams', 'France', 0.0010588278868367519)\n",
      "('alexa_total_streams', 'Ireland', 0.0010473559967560716)\n",
      "('spotify_playlist_streams', 'New Age', 0.0010463356322433267)\n",
      "('France', 'Blues', -0.0010348435615706861)\n",
      "('spotify_collection_streams', 'Ireland', -0.0009870558855274087)\n",
      "(\"Children's\", 'Australia', -0.00098001351196514092)\n",
      "('youtube_audio_streams', 'Brazil', -0.00096740643916070593)\n",
      "('spotify_total_streams', 'Denmark', 0.0009616918841446378)\n",
      "('num_cds', 'Punk', -0.00095120633919282879)\n",
      "('google_total_downloads', 'Canada', -0.00095112741036035915)\n",
      "('spotify_active_streams', 'Folk', -0.00093305324465299609)\n",
      "('spotify_playlist_streams', 'Australia', 0.00092280029793215918)\n",
      "('itunes_total_downloads', 'Reggae', -0.00090619173774050365)\n",
      "('spotify_collection_streams', 'Denmark', 0.00087267620371116487)\n",
      "('spotify_playlist_streams', 'Reggae', 0.00085818016033645912)\n",
      "('google_total_downloads', 'Spoken Word', -0.00085267537957184347)\n",
      "('alexa_total_streams', 'France', -0.00084489484136046503)\n",
      "('itunes_total_downloads', 'Classical', 0.00080753961688416476)\n",
      "('pandora_total_streams', 'Netherlands', 0.00079466495846565444)\n",
      "('spotify_playlist_streams', 'Ireland', 0.00079079375253720478)\n",
      "('alexa_total_streams', 'World Music', 0.00075353112645174696)\n",
      "('itunes_total_downloads', 'Folk', 0.0006956913608084065)\n",
      "('num_active_releases', 'Puerto Rico', -0.00069359579391971825)\n",
      "('Puerto Rico', 'Christian', -0.00069359579391971825)\n",
      "('apple_passive_streams', 'Reggae', -0.00068345106506298881)\n",
      "(\"Children's\", 'Canada', 0.00066005847441558737)\n",
      "('apple_collection_streams', 'Reggae', -0.0006575300704811806)\n",
      "('total_physical_rev', 'Holiday', -0.00064594743964076391)\n",
      "('amazon_total_streams', 'Denmark', -0.00064062700567576385)\n",
      "('USA', 'Jazz', 0.0006390679271249403)\n",
      "('cd_revenue', 'Holiday', -0.0006301779039106784)\n",
      "('apple_passive_streams', 'Denmark', -0.0006068227555721924)\n",
      "('alexa_total_streams', 'Reggae', 0.00058745438519361903)\n",
      "('shazam_total_streams', 'New Zealand', 0.00058593630478780774)\n",
      "('pandora_total_streams', 'New Zealand', 0.00058593630478780731)\n",
      "('google_total_downloads', 'New Zealand', 0.00058593630478780449)\n",
      "('spotify_playlist_streams', 'New Zealand', 0.00058546470239310717)\n",
      "('apple_passive_streams', 'Folk', 0.00057914268109991588)\n",
      "('spotify_passive_streams', 'New Zealand', 0.00057861639595441574)\n",
      "('apple_total_streams', 'Denmark', -0.0005783252586615223)\n",
      "('apple_total_streams', 'Spain', 0.00056153510878008785)\n",
      "('apple_active_streams', 'Israel', -0.00055457279109030224)\n",
      "('total_physical_rev', 'cd_revenue', -0.00054414352819290052)\n",
      "('spotify_total_streams', 'New Zealand', 0.00054362768366523172)\n",
      "('pandora_total_streams', 'Classical', 0.00053810844683304033)\n",
      "('spotify_passive_streams', 'Reggae', -0.00051414656091635974)\n",
      "('Turkey', 'Soundtracks', -0.00049964611326713934)\n",
      "('amazon_total_downloads', 'Australia', 0.00049664497801818475)\n",
      "('Holiday', 'Australia', -0.00049018639763301558)\n",
      "('apple_passive_streams', 'New Zealand', 0.00048871378244224933)\n",
      "('amazon_total_streams', 'Ireland', -0.00048582021421615879)\n",
      "('Netherlands', 'Christian', 0.00048063289299932833)\n",
      "('Sweden', 'Metal', 0.00047594846704564984)\n",
      "('spotify_active_streams', 'New Zealand', 0.00045604828790034334)\n",
      "('num_cds', 'Rock', -0.00041821299727954112)\n",
      "('spotify_playlist_streams', 'Christian', 0.00040163530610049241)\n",
      "('spotify_active_streams', 'Ireland', -0.00037472335273047025)\n",
      "('amazon_total_streams', 'New Zealand', 0.0003722389155864581)\n",
      "('spotify_collection_streams', 'New Zealand', 0.00037099560918539901)\n",
      "('shazam_total_streams', 'France', -0.00036102143402653547)\n",
      "('num_cds', 'Electronic', -0.00034932436409694674)\n",
      "('youtube_audio_streams', 'New Zealand', 0.00032469002983182189)\n",
      "('apple_total_streams', 'Israel', 0.0003155265099981868)\n",
      "('num_cds', 'United Kingdom', 0.00029831036391447482)\n",
      "('apple_collection_streams', 'Folk', -0.00028694659031856123)\n",
      "('amazon_total_downloads', 'Ireland', 0.0002696045353958784)\n",
      "('apple_collection_streams', 'Denmark', -0.00026244482219509258)\n",
      "('spotify_total_streams', 'Ireland', 0.0002513943859812861)\n",
      "('apple_active_streams', 'New Zealand', 0.00025092743141869197)\n",
      "('pandora_total_streams', 'Blues', 0.00024666952469918198)\n",
      "('num_cds', 'Canada', 0.00023148555988398081)\n",
      "('apple_active_streams', 'Folk', 0.00021242293794493375)\n",
      "('apple_total_streams', 'New Zealand', 0.00017132514767477947)\n",
      "('amazon_total_downloads', 'Spain', 0.00016166778722860085)\n",
      "('youtube_audio_streams', 'Australia', -6.5308492519888865e-05)\n",
      "('apple_collection_streams', 'New Zealand', 6.0343805623188245e-05)\n",
      "('spotify_total_streams', 'Reggae', -3.5318324777481835e-05)\n",
      "('youtube_audio_streams', 'Reggae', -3.5062988476463229e-05)\n",
      "('Electronic', 'Denmark', 3.184613881438286e-05)\n",
      "('Italy', 'Holiday', -1.3275960650833676e-05)\n",
      "('apple_total_streams', 'Folk', -6.5692257318002157e-06)\n",
      "('spotify_playlist_streams', 'World Music', -7.8230681173513735e-08)\n"
     ]
    }
   ],
   "source": [
    "run cat0_poly.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'TOTAL_GROSS_REVENUE_LAST_YEAR'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "\u001b[0;32m/Users/jpolikov/Desktop/Machine Learning Workspace/catalog_analysis/cat0_ly.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     21\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     22\u001b[0m df = pd.DataFrame({\n\u001b[0;32m---> 23\u001b[0;31m \u001b[0;34m\"total_rev\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mmyds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'TOTAL_GROSS_REVENUE_LAST_YEAR'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     24\u001b[0m   \u001b[0;34m\"rev_recip\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreciprocal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmyds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'TOTAL_GROSS_REVENUE_LAST_YEAR'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     25\u001b[0m   \u001b[0;34m\"rev_log\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlog\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmyds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'TOTAL_GROSS_REVENUE_LAST_YEAR'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/Users/jpolikov/anaconda2/lib/python2.7/site-packages/pandas/core/frame.pyc\u001b[0m in \u001b[0;36m__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m   1962\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_getitem_multilevel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1963\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1964\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_getitem_column\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1965\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1966\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_getitem_column\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/Users/jpolikov/anaconda2/lib/python2.7/site-packages/pandas/core/frame.pyc\u001b[0m in \u001b[0;36m_getitem_column\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m   1969\u001b[0m         \u001b[0;31m# get column\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1970\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_unique\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1971\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_get_item_cache\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1972\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1973\u001b[0m         \u001b[0;31m# duplicate columns & possible reduce dimensionality\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/Users/jpolikov/anaconda2/lib/python2.7/site-packages/pandas/core/generic.pyc\u001b[0m in \u001b[0;36m_get_item_cache\u001b[0;34m(self, item)\u001b[0m\n\u001b[1;32m   1643\u001b[0m         \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcache\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1644\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mres\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1645\u001b[0;31m             \u001b[0mvalues\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1646\u001b[0m             \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_box_item_values\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalues\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1647\u001b[0m             \u001b[0mcache\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mres\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/Users/jpolikov/anaconda2/lib/python2.7/site-packages/pandas/core/internals.pyc\u001b[0m in \u001b[0;36mget\u001b[0;34m(self, item, fastpath)\u001b[0m\n\u001b[1;32m   3588\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   3589\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0misnull\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3590\u001b[0;31m                 \u001b[0mloc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitems\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mitem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   3591\u001b[0m             \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   3592\u001b[0m                 \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitems\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0misnull\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mitems\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/Users/jpolikov/anaconda2/lib/python2.7/site-packages/pandas/core/indexes/base.pyc\u001b[0m in \u001b[0;36mget_loc\u001b[0;34m(self, key, method, tolerance)\u001b[0m\n\u001b[1;32m   2442\u001b[0m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2443\u001b[0m             \u001b[0;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2444\u001b[0;31m                 \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_maybe_cast_indexer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2445\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2446\u001b[0m         \u001b[0mindexer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_indexer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmethod\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtolerance\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mtolerance\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;31mKeyError\u001b[0m: 'TOTAL_GROSS_REVENUE_LAST_YEAR'"
     ]
    }
   ],
   "source": [
    "run cat0_ly.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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