Market Basket Analysis using K-Means Cluster Algorithm.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7903b71e",
   "metadata": {},
   "source": [
    "Watch this video on YouTube: https://youtu.be/5UUV0PJW34o"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "83f1bc97",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings as wr\n",
    "wr.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2b5990f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CustomerID</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Male</td>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Male</td>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Female</td>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Female</td>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Female</td>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   CustomerID  Gender  Age  Annual Income (k$)  Spending Score (1-100)\n",
       "0           1    Male   19                  15                      39\n",
       "1           2    Male   21                  15                      81\n",
       "2           3  Female   20                  16                       6\n",
       "3           4  Female   23                  16                      77\n",
       "4           5  Female   31                  17                      40"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('mall customers.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "eec325bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "#df = df.drop(['CustomerID','Gender'], axis=1)\n",
    "df.drop(['CustomerID','Gender'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "160252fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Annual Income (k$)  Spending Score (1-100)\n",
       "0   19                  15                      39\n",
       "1   21                  15                      81\n",
       "2   20                  16                       6\n",
       "3   23                  16                      77\n",
       "4   31                  17                      40"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0f239e8f",
   "metadata": {},
   "outputs": [],
   "source": [
    "df.rename(columns={'Age': 'age', 'Annual Income (k$)':'income', 'Spending Score (1-100)':'score'}, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e30b942e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age  income  score\n",
       "0   19      15     39\n",
       "1   21      15     81\n",
       "2   20      16      6\n",
       "3   23      16     77\n",
       "4   31      17     40"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3853ac66",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 3)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7deb0327",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x24e650befa0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df.age, df.income)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "45d4cd22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x24e65305f40>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df.age, df.score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "070380ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x24e65189f10>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df.score, df.income)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5592fd58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x750 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.pairplot(df[['age','income','score']])\n",
    "plt.savefig('image.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c5c8893e",
   "metadata": {},
   "source": [
    "# KMEANS CLUSTER"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6a1908db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'income and score plot of cutomres')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df.score, df.income, color='black')\n",
    "plt.xlabel('scores')\n",
    "plt.ylabel('income')\n",
    "plt.title('income and score plot of cutomres')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e2a78feb",
   "metadata": {},
   "outputs": [],
   "source": [
    "#https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "782b1d81",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "fb59a897",
   "metadata": {},
   "outputs": [],
   "source": [
    "km = KMeans() #n_clusters=8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d85ecf94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMeans</label><div class=\"sk-toggleable__content\"><pre>KMeans()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KMeans()"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km.fit(df[['score', 'income']]) #fit_predict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c43730d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Group1'] = km.predict(df[['score', 'income']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "25899ba0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 46.21428571,  63.95238095],\n",
       "       [ 82.17241379,  78.55172414],\n",
       "       [ 20.22727273,  25.72727273],\n",
       "       [ 80.04761905,  25.0952381 ],\n",
       "       [ 22.        , 109.7       ],\n",
       "       [ 12.68181818,  80.18181818],\n",
       "       [ 82.        , 109.7       ],\n",
       "       [ 51.61363636,  47.65909091]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km.cluster_centers_ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1a67178b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>score</th>\n",
       "      <th>Group1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>35</td>\n",
       "      <td>120</td>\n",
       "      <td>79</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>45</td>\n",
       "      <td>126</td>\n",
       "      <td>28</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>32</td>\n",
       "      <td>126</td>\n",
       "      <td>74</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>32</td>\n",
       "      <td>137</td>\n",
       "      <td>18</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>30</td>\n",
       "      <td>137</td>\n",
       "      <td>83</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>200 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     age  income  score  Group1\n",
       "0     19      15     39       2\n",
       "1     21      15     81       3\n",
       "2     20      16      6       2\n",
       "3     23      16     77       3\n",
       "4     31      17     40       2\n",
       "..   ...     ...    ...     ...\n",
       "195   35     120     79       6\n",
       "196   45     126     28       4\n",
       "197   32     126     74       6\n",
       "198   32     137     18       4\n",
       "199   30     137     83       6\n",
       "\n",
       "[200 rows x 4 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "165ab07d",
   "metadata": {},
   "outputs": [],
   "source": [
    "df0 = df[df.Group1 == 0]\n",
    "df1 = df[df.Group1 == 1]\n",
    "df2 = df[df.Group1 == 2]\n",
    "df3 = df[df.Group1 == 3]\n",
    "df4 = df[df.Group1 == 4]\n",
    "df5 = df[df.Group1 == 5]\n",
    "df6 = df[df.Group1 == 6]\n",
    "df7 = df[df.Group1 == 7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d12df577",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>score</th>\n",
       "      <th>Group1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>49</td>\n",
       "      <td>54</td>\n",
       "      <td>42</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>67</td>\n",
       "      <td>54</td>\n",
       "      <td>41</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>50</td>\n",
       "      <td>58</td>\n",
       "      <td>46</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>68</td>\n",
       "      <td>59</td>\n",
       "      <td>55</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>18</td>\n",
       "      <td>59</td>\n",
       "      <td>41</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    age  income  score  Group1\n",
       "79   49      54     42       0\n",
       "82   67      54     41       0\n",
       "89   50      58     46       0\n",
       "90   68      59     55       0\n",
       "91   18      59     41       0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df0.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "4d595ec4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "\n",
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       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>income</th>\n",
       "      <th>score</th>\n",
       "      <th>Group1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>35</td>\n",
       "      <td>18</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>64</td>\n",
       "      <td>19</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age  income  score  Group1\n",
       "0   19      15     39       2\n",
       "2   20      16      6       2\n",
       "4   31      17     40       2\n",
       "6   35      18      6       2\n",
       "8   64      19      3       2"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df2.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "bcb421c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 46.21428571,  63.95238095],\n",
       "       [ 82.17241379,  78.55172414],\n",
       "       [ 20.22727273,  25.72727273],\n",
       "       [ 80.04761905,  25.0952381 ],\n",
       "       [ 22.        , 109.7       ],\n",
       "       [ 12.68181818,  80.18181818],\n",
       "       [ 82.        , 109.7       ],\n",
       "       [ 51.61363636,  47.65909091]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centroid = km.cluster_centers_ \n",
    "centroid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1fa2d36e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x24e6a238fa0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.scatter(df0.score, df0.income, color='pink', label='cluster 0')\n",
    "plt.scatter(df1.score, df1.income, color='blue', label='cluster 1')\n",
    "plt.scatter(df2.score, df2.income, color='green', label='cluster 2')\n",
    "plt.scatter(df3.score, df3.income, color='magenta', label='cluster 3')\n",
    "plt.scatter(df4.score, df4.income, color='orange', label='cluster 4')\n",
    "plt.scatter(df5.score, df5.income, color='cyan', label='cluster 5')\n",
    "plt.scatter(df6.score, df6.income, color='yellow', label='cluster 6')\n",
    "plt.scatter(df7.score, df7.income, color='black', label='cluster 7')\n",
    "\n",
    "plt.scatter(centroid[:, 0], centroid[:,1], color='red', label='centroid')\n",
    "\n",
    "plt.title('Before Optimization')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b906836",
   "metadata": {},
   "source": [
    "# Optimizing KMENAS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "094be3fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "wcss = []\n",
    "cluster = range(1,15)\n",
    "for k in cluster:\n",
    "    km2 = KMeans(n_clusters=k)\n",
    "    km2.fit(df[['score', 'income']])\n",
    "    wcss.append(km2.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "bca80f24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[269981.28,\n",
       " 181363.59595959593,\n",
       " 106348.37306211118,\n",
       " 73679.78903948836,\n",
       " 44448.45544793371,\n",
       " 37239.83554245604,\n",
       " 30241.343617936593,\n",
       " 25018.576334776335,\n",
       " 21900.341350107527,\n",
       " 19770.069502743732,\n",
       " 17546.92800004655,\n",
       " 15817.245013841313,\n",
       " 14661.36180531215,\n",
       " 13364.52120822121]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wcss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "992308de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Cluster')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1,15), wcss, marker='o') #line plot\n",
    "plt.ylabel('WCSS')\n",
    "plt.xlabel('Cluster')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "d2c3d7c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "from kneed import KneeLocator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7052e98f",
   "metadata": {},
   "outputs": [],
   "source": [
    "kn = KneeLocator(cluster, wcss, direction='decreasing', curve='convex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "a8c932bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kn.plot_knee()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "8f30fb58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kn.knee"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f700db8e",
   "metadata": {},
   "source": [
    "# After Optimizing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "2d05d908",
   "metadata": {},
   "outputs": [],
   "source": [
    "km = KMeans(n_clusters=5) #i know 5 is optimal\n",
    "df['Group2'] = km.fit_predict(df[['score', 'income']]) #fit_predict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "9e674915",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>age</th>\n",
       "      <th>income</th>\n",
       "      <th>score</th>\n",
       "      <th>Group1</th>\n",
       "      <th>Group2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age  income  score  Group1  Group2\n",
       "0   19      15     39       2       4\n",
       "1   21      15     81       3       3\n",
       "2   20      16      6       2       4\n",
       "3   23      16     77       3       3\n",
       "4   31      17     40       2       4"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "490563f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[82.12820513, 86.53846154],\n",
       "       [49.51851852, 55.2962963 ],\n",
       "       [17.11428571, 88.2       ],\n",
       "       [79.36363636, 25.72727273],\n",
       "       [20.91304348, 26.30434783]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cen = km.cluster_centers_\n",
    "cen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "787af538",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x24e6360ed90>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df0 = df[df.Group2 == 0]\n",
    "df1 = df[df.Group2 == 1]\n",
    "df2 = df[df.Group2 == 2]\n",
    "df3 = df[df.Group2 == 3]\n",
    "df4 = df[df.Group2 == 4]\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.scatter(df0.score, df0.income, color='pink', label='cluster 0')\n",
    "plt.scatter(df1.score, df1.income, color='blue', label='cluster 1')\n",
    "plt.scatter(df2.score, df2.income, color='green', label='cluster 2')\n",
    "plt.scatter(df3.score, df3.income, color='magenta', label='cluster 3')\n",
    "plt.scatter(df4.score, df4.income, color='orange', label='cluster 4')\n",
    "\n",
    "plt.scatter(cen[:, 0], cen[:,1], color='red', label='centroid')\n",
    "plt.title('After Optimization')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f02fecdc",
   "metadata": {},
   "source": [
    "Watch this video on YouTube: https://youtu.be/5UUV0PJW34o"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "58ff8de7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}