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 "cells": [
  {
   "source": [
    "# Nigerian Music scraped from Spotify - an analysis"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n",
      "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n",
      "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n",
      "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n",
      "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n",
      "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n",
      "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n",
      "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n",
      "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n",
      "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.2 is available.\n",
      "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "pip install seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "                       name                         album  \\\n",
       "0                    Sparky            Mandy & The Jungle   \n",
       "1                shuga rush  EVERYTHING YOU HEARD IS TRUE   \n",
       "2                     LITT!                         LITT!   \n",
       "3  Confident / Feeling Cool               Enjoy Your Life   \n",
       "4                wanted you                         rare.   \n",
       "\n",
       "                artist artist_top_genre  release_date  length  popularity  \\\n",
       "0        Cruel Santino  alternative r&b          2019  144000          48   \n",
       "1  Odunsi (The Engine)          afropop          2020   89488          30   \n",
       "2                 AYLØ        indie r&b          2018  207758          40   \n",
       "3           Lady Donli     nigerian pop          2019  175135          14   \n",
       "4  Odunsi (The Engine)          afropop          2018  152049          25   \n",
       "\n",
       "   danceability  acousticness  energy  instrumentalness  liveness  loudness  \\\n",
       "0         0.666        0.8510   0.420          0.534000    0.1100    -6.699   \n",
       "1         0.710        0.0822   0.683          0.000169    0.1010    -5.640   \n",
       "2         0.836        0.2720   0.564          0.000537    0.1100    -7.127   \n",
       "3         0.894        0.7980   0.611          0.000187    0.0964    -4.961   \n",
       "4         0.702        0.1160   0.833          0.910000    0.3480    -6.044   \n",
       "\n",
       "   speechiness    tempo  time_signature  \n",
       "0       0.0829  133.015               5  \n",
       "1       0.3600  129.993               3  \n",
       "2       0.0424  130.005               4  \n",
       "3       0.1130  111.087               4  \n",
       "4       0.0447  105.115               4  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>name</th>\n      <th>album</th>\n      <th>artist</th>\n      <th>artist_top_genre</th>\n      <th>release_date</th>\n      <th>length</th>\n      <th>popularity</th>\n      <th>danceability</th>\n      <th>acousticness</th>\n      <th>energy</th>\n      <th>instrumentalness</th>\n      <th>liveness</th>\n      <th>loudness</th>\n      <th>speechiness</th>\n      <th>tempo</th>\n      <th>time_signature</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>Sparky</td>\n      <td>Mandy &amp; The Jungle</td>\n      <td>Cruel Santino</td>\n      <td>alternative r&amp;b</td>\n      <td>2019</td>\n      <td>144000</td>\n      <td>48</td>\n      <td>0.666</td>\n      <td>0.8510</td>\n      <td>0.420</td>\n      <td>0.534000</td>\n      <td>0.1100</td>\n      <td>-6.699</td>\n      <td>0.0829</td>\n      <td>133.015</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>shuga rush</td>\n      <td>EVERYTHING YOU HEARD IS TRUE</td>\n      <td>Odunsi (The Engine)</td>\n      <td>afropop</td>\n      <td>2020</td>\n      <td>89488</td>\n      <td>30</td>\n      <td>0.710</td>\n      <td>0.0822</td>\n      <td>0.683</td>\n      <td>0.000169</td>\n      <td>0.1010</td>\n      <td>-5.640</td>\n      <td>0.3600</td>\n      <td>129.993</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>LITT!</td>\n      <td>LITT!</td>\n      <td>AYLØ</td>\n      <td>indie r&amp;b</td>\n      <td>2018</td>\n      <td>207758</td>\n      <td>40</td>\n      <td>0.836</td>\n      <td>0.2720</td>\n      <td>0.564</td>\n      <td>0.000537</td>\n      <td>0.1100</td>\n      <td>-7.127</td>\n      <td>0.0424</td>\n      <td>130.005</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>Confident / Feeling Cool</td>\n      <td>Enjoy Your Life</td>\n      <td>Lady Donli</td>\n      <td>nigerian pop</td>\n      <td>2019</td>\n      <td>175135</td>\n      <td>14</td>\n      <td>0.894</td>\n      <td>0.7980</td>\n      <td>0.611</td>\n      <td>0.000187</td>\n      <td>0.0964</td>\n      <td>-4.961</td>\n      <td>0.1130</td>\n      <td>111.087</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>wanted you</td>\n      <td>rare.</td>\n      <td>Odunsi (The Engine)</td>\n      <td>afropop</td>\n      <td>2018</td>\n      <td>152049</td>\n      <td>25</td>\n      <td>0.702</td>\n      <td>0.1160</td>\n      <td>0.833</td>\n      <td>0.910000</td>\n      <td>0.3480</td>\n      <td>-6.044</td>\n      <td>0.0447</td>\n      <td>105.115</td>\n      <td>4</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv(\"../../data/nigerian-songs.csv\")\n",
    "df.head()"
   ]
  },
  {
   "source": [
    "Get information about the dataframe"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "df.info()"
   ],
   "cell_type": "code",
   "metadata": {},
   "execution_count": 4,
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 530 entries, 0 to 529\nData columns (total 16 columns):\n #   Column            Non-Null Count  Dtype  \n---  ------            --------------  -----  \n 0   name              530 non-null    object \n 1   album             530 non-null    object \n 2   artist            530 non-null    object \n 3   artist_top_genre  530 non-null    object \n 4   release_date      530 non-null    int64  \n 5   length            530 non-null    int64  \n 6   popularity        530 non-null    int64  \n 7   danceability      530 non-null    float64\n 8   acousticness      530 non-null    float64\n 9   energy            530 non-null    float64\n 10  instrumentalness  530 non-null    float64\n 11  liveness          530 non-null    float64\n 12  loudness          530 non-null    float64\n 13  speechiness       530 non-null    float64\n 14  tempo             530 non-null    float64\n 15  time_signature    530 non-null    int64  \ndtypes: float64(8), int64(4), object(4)\nmemory usage: 66.4+ KB\n"
     ]
    }
   ]
  },
  {
   "source": [
    "There are no null values. Look at the general values of the data. Note that popularity can be '0'"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "       release_date         length  popularity  danceability  acousticness  \\\n",
       "count    530.000000     530.000000  530.000000    530.000000    530.000000   \n",
       "mean    2015.390566  222298.169811   17.507547      0.741619      0.265412   \n",
       "std        3.131688   39696.822259   18.992212      0.117522      0.208342   \n",
       "min     1998.000000   89488.000000    0.000000      0.255000      0.000665   \n",
       "25%     2014.000000  199305.000000    0.000000      0.681000      0.089525   \n",
       "50%     2016.000000  218509.000000   13.000000      0.761000      0.220500   \n",
       "75%     2017.000000  242098.500000   31.000000      0.829500      0.403000   \n",
       "max     2020.000000  511738.000000   73.000000      0.966000      0.954000   \n",
       "\n",
       "           energy  instrumentalness    liveness    loudness  speechiness  \\\n",
       "count  530.000000        530.000000  530.000000  530.000000   530.000000   \n",
       "mean     0.760623          0.016305    0.147308   -4.953011     0.130748   \n",
       "std      0.148533          0.090321    0.123588    2.464186     0.092939   \n",
       "min      0.111000          0.000000    0.028300  -19.362000     0.027800   \n",
       "25%      0.669000          0.000000    0.075650   -6.298750     0.059100   \n",
       "50%      0.784500          0.000004    0.103500   -4.558500     0.097950   \n",
       "75%      0.875750          0.000234    0.164000   -3.331000     0.177000   \n",
       "max      0.995000          0.910000    0.811000    0.582000     0.514000   \n",
       "\n",
       "            tempo  time_signature  \n",
       "count  530.000000      530.000000  \n",
       "mean   116.487864        3.986792  \n",
       "std     23.518601        0.333701  \n",
       "min     61.695000        3.000000  \n",
       "25%    102.961250        4.000000  \n",
       "50%    112.714500        4.000000  \n",
       "75%    125.039250        4.000000  \n",
       "max    206.007000        5.000000  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>release_date</th>\n      <th>length</th>\n      <th>popularity</th>\n      <th>danceability</th>\n      <th>acousticness</th>\n      <th>energy</th>\n      <th>instrumentalness</th>\n      <th>liveness</th>\n      <th>loudness</th>\n      <th>speechiness</th>\n      <th>tempo</th>\n      <th>time_signature</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>count</th>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n      <td>530.000000</td>\n    </tr>\n    <tr>\n      <th>mean</th>\n      <td>2015.390566</td>\n      <td>222298.169811</td>\n      <td>17.507547</td>\n      <td>0.741619</td>\n      <td>0.265412</td>\n      <td>0.760623</td>\n      <td>0.016305</td>\n      <td>0.147308</td>\n      <td>-4.953011</td>\n      <td>0.130748</td>\n      <td>116.487864</td>\n      <td>3.986792</td>\n    </tr>\n    <tr>\n      <th>std</th>\n      <td>3.131688</td>\n      <td>39696.822259</td>\n      <td>18.992212</td>\n      <td>0.117522</td>\n      <td>0.208342</td>\n      <td>0.148533</td>\n      <td>0.090321</td>\n      <td>0.123588</td>\n      <td>2.464186</td>\n      <td>0.092939</td>\n      <td>23.518601</td>\n      <td>0.333701</td>\n    </tr>\n    <tr>\n      <th>min</th>\n      <td>1998.000000</td>\n      <td>89488.000000</td>\n      <td>0.000000</td>\n      <td>0.255000</td>\n      <td>0.000665</td>\n      <td>0.111000</td>\n      <td>0.000000</td>\n      <td>0.028300</td>\n      <td>-19.362000</td>\n      <td>0.027800</td>\n      <td>61.695000</td>\n      <td>3.000000</td>\n    </tr>\n    <tr>\n      <th>25%</th>\n      <td>2014.000000</td>\n      <td>199305.000000</td>\n      <td>0.000000</td>\n      <td>0.681000</td>\n      <td>0.089525</td>\n      <td>0.669000</td>\n      <td>0.000000</td>\n      <td>0.075650</td>\n      <td>-6.298750</td>\n      <td>0.059100</td>\n      <td>102.961250</td>\n      <td>4.000000</td>\n    </tr>\n    <tr>\n      <th>50%</th>\n      <td>2016.000000</td>\n      <td>218509.000000</td>\n      <td>13.000000</td>\n      <td>0.761000</td>\n      <td>0.220500</td>\n      <td>0.784500</td>\n      <td>0.000004</td>\n      <td>0.103500</td>\n      <td>-4.558500</td>\n      <td>0.097950</td>\n      <td>112.714500</td>\n      <td>4.000000</td>\n    </tr>\n    <tr>\n      <th>75%</th>\n      <td>2017.000000</td>\n      <td>242098.500000</td>\n      <td>31.000000</td>\n      <td>0.829500</td>\n      <td>0.403000</td>\n      <td>0.875750</td>\n      <td>0.000234</td>\n      <td>0.164000</td>\n      <td>-3.331000</td>\n      <td>0.177000</td>\n      <td>125.039250</td>\n      <td>4.000000</td>\n    </tr>\n    <tr>\n      <th>max</th>\n      <td>2020.000000</td>\n      <td>511738.000000</td>\n      <td>73.000000</td>\n      <td>0.966000</td>\n      <td>0.954000</td>\n      <td>0.995000</td>\n      <td>0.910000</td>\n      <td>0.811000</td>\n      <td>0.582000</td>\n      <td>0.514000</td>\n      <td>206.007000</td>\n      <td>5.000000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "source": [
    "The song's genre is a good candidate for a cluster. Let's examine the genres. Quite a few are listed as 'Missing' which means they aren't categorized in the dataset with a genre "
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Top genres')"
      ]
     },
     "metadata": {},
     "execution_count": 6
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "top = df['artist_top_genre'].value_counts()\n",
    "plt.figure(figsize=(10,7))\n",
    "sns.barplot(x=top[:5].index,y=top[:5].values)\n",
    "plt.xticks(rotation=45)\n",
    "plt.title('Top genres',color = 'blue')"
   ]
  },
  {
   "source": [
    "Remove 'Missing' genres, as it's not classified in Spotify\n"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Top genres')"
      ]
     },
     "metadata": {},
     "execution_count": 7
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x504 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df = df[df['artist_top_genre'] != 'Missing']\n",
    "top = df['artist_top_genre'].value_counts()\n",
    "plt.figure(figsize=(10,7))\n",
    "sns.barplot(x=top.index,y=top.values)\n",
    "plt.xticks(rotation=45)\n",
    "plt.title('Top genres',color = 'blue')"
   ]
  },
  {
   "source": [
    "The top three genres comprise the greatest part of the dataset, so let's focus on those"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Top genres')"
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df = df[(df['artist_top_genre'] == 'afro dancehall') | (df['artist_top_genre'] == 'afropop') | (df['artist_top_genre'] == 'nigerian pop')]\n",
    "df = df[(df['popularity'] > 0)]\n",
    "top = df['artist_top_genre'].value_counts()\n",
    "plt.figure(figsize=(10,7))\n",
    "sns.barplot(x=top.index,y=top.values)\n",
    "plt.xticks(rotation=45)\n",
    "plt.title('Top genres',color = 'blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Object `energetic` not found.\n"
     ]
    }
   ],
   "source": [
    "The data is not strongly correlated except between energy and loudness, which makes sense. Popularity has a correspondence to release data, which also makes sense, as more recent songs are probably more popular. Length and energy seem to have a correlation - perhaps shorter songs are more energetic?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "corrmat = df.corr()\n",
    "f, ax = plt.subplots(figsize=(12, 9))\n",
    "sns.heatmap(corrmat, vmax=.8, square=True);"
   ]
  },
  {
   "source": [
    "Examine our top three genres data distribution along a given x and y axis "
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "sns.set_theme(style=\"ticks\")\n",
    "\n",
    "# Show the joint distribution using kernel density estimation\n",
    "g = sns.jointplot(\n",
    "    data=df,\n",
    "    x=\"popularity\", y=\"danceability\", hue=\"artist_top_genre\",\n",
    "    kind=\"kde\",\n",
    ")"
   ]
  },
  {
   "source": [
    "A scatterplot of the same axes shows a similar pattern of convergence"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'.  Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points.\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7faf400f4908>"
      ]
     },
     "metadata": {},
     "execution_count": 12
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "df.plot(kind=\"scatter\", x=\"popularity\", y=\"danceability\")"
   ]
  },
  {
   "source": [
    "You can visualize that scatterplot with hues aligning to genre"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/axisgrid.py:316: UserWarning: The `size` parameter has been renamed to `height`; please update your code.\n  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7faf40119320>"
      ]
     },
     "metadata": {},
     "execution_count": 14
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.FacetGrid(df, hue=\"artist_top_genre\", size=5) \\\n",
    "   .map(plt.scatter, \"popularity\", \"danceability\") \\\n",
    "   .add_legend()"
   ]
  },
  {
   "source": [
    "swarmplots show the general distribution as well"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7faeb0045c88>"
      ]
     },
     "metadata": {},
     "execution_count": 15
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {}
    }
   ],
   "source": [
    "sns.swarmplot(x=df['popularity'],\n",
    "              y=df['artist_top_genre'])"
   ]
  },
  {
   "source": [
    "reduce the dataframe to only numeric values"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "wcss = []\n",
    "\n",
    "X = df[['popularity','danceability']].values\n",
    "\n",
    "\n",
    "for i in range(1, 11):\n",
    "    kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
    "    kmeans.fit(X)\n",
    "    # inertia method returns wcss for that model\n",
    "    wcss.append(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n  FutureWarning\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "sns.lineplot(range(1, 11), wcss,marker='o',color='red')\n",
    "plt.title('The Elbow Method')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel('WCSS')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "     popularity  danceability\n1            30         0.710\n3            14         0.894\n4            25         0.702\n5            26         0.803\n6            29         0.818\n..          ...           ...\n514          20         0.838\n515          14         0.786\n519           2         0.879\n522          26         0.863\n525          10         0.735\n\n[286 rows x 2 columns]\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "selection = df[['popularity','danceability']]\n",
    "print(selection)\n",
    "\n",
    "from sklearn.cluster import KMeans\n",
    "kmeans = KMeans(n_clusters = 3)\n",
    "kmeans.fit(selection)\n",
    "labels = kmeans.predict(selection)\n",
    "plt.scatter(df['popularity'],df['danceability'],c = labels)\n",
    "plt.xlabel('danceability')\n",
    "plt.xlabel('popularity')\n",
    "plt.show()\n"
   ]
  }
 ]
}