{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "098f2000-3bc1-4fd8-a4a4-7de526913adc",
   "metadata": {},
   "source": [
    "### PUBLIC UTILITIES EXAMPLE"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5547ee05-cf1c-4167-bb36-461e6b6f8cf9",
   "metadata": {},
   "source": [
    "#### Clustering Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a7f8916c-b1e6-4056-ac8f-2d58057c6402",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from pandas.plotting import parallel_coordinates\n",
    "from sklearn import preprocessing\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import pairwise, silhouette_score\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage, fcluster\n",
    "import matplotlib.pylab as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "79507daf-3c99-4d2f-a11f-156e925818ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "    }\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>Company</th>\n",
       "      <th>Fixed_charge</th>\n",
       "      <th>RoR</th>\n",
       "      <th>Cost</th>\n",
       "      <th>Load_factor</th>\n",
       "      <th>Demand_growth</th>\n",
       "      <th>Sales</th>\n",
       "      <th>Nuclear</th>\n",
       "      <th>Fuel_Cost</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Arizona</td>\n",
       "      <td>1.06</td>\n",
       "      <td>9.2</td>\n",
       "      <td>151</td>\n",
       "      <td>54.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>9077</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Boston</td>\n",
       "      <td>0.89</td>\n",
       "      <td>10.3</td>\n",
       "      <td>202</td>\n",
       "      <td>57.9</td>\n",
       "      <td>2.2</td>\n",
       "      <td>5088</td>\n",
       "      <td>25.3</td>\n",
       "      <td>1.555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Central</td>\n",
       "      <td>1.43</td>\n",
       "      <td>15.4</td>\n",
       "      <td>113</td>\n",
       "      <td>53.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>9212</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Commonwealth</td>\n",
       "      <td>1.02</td>\n",
       "      <td>11.2</td>\n",
       "      <td>168</td>\n",
       "      <td>56.0</td>\n",
       "      <td>0.3</td>\n",
       "      <td>6423</td>\n",
       "      <td>34.3</td>\n",
       "      <td>0.700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NY</td>\n",
       "      <td>1.49</td>\n",
       "      <td>8.8</td>\n",
       "      <td>192</td>\n",
       "      <td>51.2</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3300</td>\n",
       "      <td>15.6</td>\n",
       "      <td>2.044</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Company  Fixed_charge   RoR  Cost  Load_factor  Demand_growth  Sales  \\\n",
       "0      Arizona           1.06   9.2   151         54.4            1.6   9077   \n",
       "1       Boston           0.89  10.3   202         57.9            2.2   5088   \n",
       "2      Central           1.43  15.4   113         53.0            3.4   9212   \n",
       "3  Commonwealth          1.02  11.2   168         56.0            0.3   6423   \n",
       "4            NY          1.49   8.8   192         51.2            1.0   3300   \n",
       "\n",
       "   Nuclear  Fuel_Cost  \n",
       "0      0.0      0.628  \n",
       "1     25.3      1.555  \n",
       "2      0.0      1.058  \n",
       "3     34.3      0.700  \n",
       "4     15.6      2.044  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(r'/Users/patriciaxufre/Documents/SBE - Disciplinas/2957 | ABA/2024-25/Datasets Examples/Utilities.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ca266dbf-ed3b-4bce-9a1c-7267629ee15e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<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>Fixed_charge</th>\n",
       "      <th>RoR</th>\n",
       "      <th>Cost</th>\n",
       "      <th>Load_factor</th>\n",
       "      <th>Demand_growth</th>\n",
       "      <th>Sales</th>\n",
       "      <th>Nuclear</th>\n",
       "      <th>Fuel_Cost</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Company</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>1.06</td>\n",
       "      <td>9.2</td>\n",
       "      <td>151</td>\n",
       "      <td>54.4</td>\n",
       "      <td>1.6</td>\n",
       "      <td>9077</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Boston</th>\n",
       "      <td>0.89</td>\n",
       "      <td>10.3</td>\n",
       "      <td>202</td>\n",
       "      <td>57.9</td>\n",
       "      <td>2.2</td>\n",
       "      <td>5088</td>\n",
       "      <td>25.3</td>\n",
       "      <td>1.555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Central</th>\n",
       "      <td>1.43</td>\n",
       "      <td>15.4</td>\n",
       "      <td>113</td>\n",
       "      <td>53.0</td>\n",
       "      <td>3.4</td>\n",
       "      <td>9212</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Commonwealth</th>\n",
       "      <td>1.02</td>\n",
       "      <td>11.2</td>\n",
       "      <td>168</td>\n",
       "      <td>56.0</td>\n",
       "      <td>0.3</td>\n",
       "      <td>6423</td>\n",
       "      <td>34.3</td>\n",
       "      <td>0.700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NY</th>\n",
       "      <td>1.49</td>\n",
       "      <td>8.8</td>\n",
       "      <td>192</td>\n",
       "      <td>51.2</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3300</td>\n",
       "      <td>15.6</td>\n",
       "      <td>2.044</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Fixed_charge   RoR  Cost  Load_factor  Demand_growth  Sales  \\\n",
       "Company                                                                     \n",
       "Arizona               1.06   9.2   151         54.4            1.6   9077   \n",
       "Boston                0.89  10.3   202         57.9            2.2   5088   \n",
       "Central               1.43  15.4   113         53.0            3.4   9212   \n",
       "Commonwealth          1.02  11.2   168         56.0            0.3   6423   \n",
       "NY                    1.49   8.8   192         51.2            1.0   3300   \n",
       "\n",
       "              Nuclear  Fuel_Cost  \n",
       "Company                           \n",
       "Arizona           0.0      0.628  \n",
       "Boston           25.3      1.555  \n",
       "Central           0.0      1.058  \n",
       "Commonwealth     34.3      0.700  \n",
       "NY               15.6      2.044  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set observations' ID to the Utilities Column\n",
    "df.set_index('Company', inplace = True)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e613e245-8690-4053-8a7b-cbb9617005da",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (16,12))\n",
    "plt.scatter(df['Sales'], df['Fuel_Cost'], marker = 'o', color = 'blue')\n",
    "\n",
    "for company in df.index:\n",
    "    plt.text(df.loc[company,'Sales'], df.loc[company, 'Fuel_Cost'], company, fontsize = 10, ha = 'right')\n",
    "\n",
    "plt.xlabel('Sales')\n",
    "plt.ylabel('Fuel Cost')\n",
    "plt.title('Scatter Plot of Sales vs Fuel Cost')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "335232d5-2e03-4008-8fbd-5618499778b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        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>Company</th>\n",
       "      <th>Arizona</th>\n",
       "      <th>Boston</th>\n",
       "      <th>Central</th>\n",
       "      <th>Commonwealth</th>\n",
       "      <th>NY</th>\n",
       "      <th>Florida</th>\n",
       "      <th>Hawaiian</th>\n",
       "      <th>Idaho</th>\n",
       "      <th>Kentucky</th>\n",
       "      <th>Madison</th>\n",
       "      <th>...</th>\n",
       "      <th>Northern</th>\n",
       "      <th>Oklahoma</th>\n",
       "      <th>Pacific</th>\n",
       "      <th>Puget</th>\n",
       "      <th>San Diego</th>\n",
       "      <th>Southern</th>\n",
       "      <th>Texas</th>\n",
       "      <th>Wisconsin</th>\n",
       "      <th>United</th>\n",
       "      <th>Virginia</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Company</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
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       "      <td>2654.277632</td>\n",
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       "      <td>2050.529440</td>\n",
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       "      <td>4006.104187</td>\n",
       "      <td>671.276346</td>\n",
       "      <td>2622.699002</td>\n",
       "      <td>...</td>\n",
       "      <td>1899.279821</td>\n",
       "      <td>598.556633</td>\n",
       "      <td>2609.045363</td>\n",
       "      <td>6914.742065</td>\n",
       "      <td>3363.061626</td>\n",
       "      <td>1063.009074</td>\n",
       "      <td>4430.251585</td>\n",
       "      <td>1790.485648</td>\n",
       "      <td>2427.588875</td>\n",
       "      <td>1016.617691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Boston</th>\n",
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       "      <td>0.000000</td>\n",
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       "      <td>1335.466502</td>\n",
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       "      <td>6039.689076</td>\n",
       "      <td>2554.287162</td>\n",
       "      <td>7994.155985</td>\n",
       "      <td>3318.276558</td>\n",
       "      <td>1367.090634</td>\n",
       "      <td>...</td>\n",
       "      <td>2091.160485</td>\n",
       "      <td>4586.302564</td>\n",
       "      <td>1380.749962</td>\n",
       "      <td>10903.146464</td>\n",
       "      <td>629.760748</td>\n",
       "      <td>5052.331669</td>\n",
       "      <td>8419.610541</td>\n",
       "      <td>2199.721665</td>\n",
       "      <td>1562.210811</td>\n",
       "      <td>5005.081262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Central</th>\n",
       "      <td>140.402855</td>\n",
       "      <td>4125.044132</td>\n",
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       "      <td>2789.759674</td>\n",
       "      <td>5912.552908</td>\n",
       "      <td>1915.155154</td>\n",
       "      <td>1571.295401</td>\n",
       "      <td>3872.257626</td>\n",
       "      <td>807.920792</td>\n",
       "      <td>2758.559663</td>\n",
       "      <td>...</td>\n",
       "      <td>2035.441520</td>\n",
       "      <td>461.341670</td>\n",
       "      <td>2744.502847</td>\n",
       "      <td>6780.430307</td>\n",
       "      <td>3498.113013</td>\n",
       "      <td>928.749249</td>\n",
       "      <td>4295.014690</td>\n",
       "      <td>1925.772564</td>\n",
       "      <td>2563.637362</td>\n",
       "      <td>883.535455</td>\n",
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       "    <tr>\n",
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       "      <td>4704.363099</td>\n",
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       "      <td>6659.534567</td>\n",
       "      <td>1983.314354</td>\n",
       "      <td>43.648894</td>\n",
       "      <td>...</td>\n",
       "      <td>756.831954</td>\n",
       "      <td>3250.984589</td>\n",
       "      <td>56.644626</td>\n",
       "      <td>9568.434429</td>\n",
       "      <td>710.292965</td>\n",
       "      <td>3717.202963</td>\n",
       "      <td>7084.372839</td>\n",
       "      <td>864.273153</td>\n",
       "      <td>232.476871</td>\n",
       "      <td>3670.018191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NY</th>\n",
       "      <td>5777.167672</td>\n",
       "      <td>1788.068027</td>\n",
       "      <td>5912.552908</td>\n",
       "      <td>3123.153215</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7827.429211</td>\n",
       "      <td>4342.093798</td>\n",
       "      <td>9782.158178</td>\n",
       "      <td>5106.094153</td>\n",
       "      <td>3155.095594</td>\n",
       "      <td>...</td>\n",
       "      <td>3879.167462</td>\n",
       "      <td>6373.743249</td>\n",
       "      <td>3168.177463</td>\n",
       "      <td>12691.155108</td>\n",
       "      <td>2414.698757</td>\n",
       "      <td>6840.150291</td>\n",
       "      <td>10207.392630</td>\n",
       "      <td>3987.335962</td>\n",
       "      <td>3350.073118</td>\n",
       "      <td>6793.035300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Florida</th>\n",
       "      <td>2050.529440</td>\n",
       "      <td>6039.689076</td>\n",
       "      <td>1915.155154</td>\n",
       "      <td>4704.363099</td>\n",
       "      <td>7827.429211</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3485.671562</td>\n",
       "      <td>1959.731080</td>\n",
       "      <td>2721.706296</td>\n",
       "      <td>4672.829286</td>\n",
       "      <td>...</td>\n",
       "      <td>3949.092316</td>\n",
       "      <td>1454.292604</td>\n",
       "      <td>4659.356262</td>\n",
       "      <td>4866.111649</td>\n",
       "      <td>5413.093004</td>\n",
       "      <td>988.044559</td>\n",
       "      <td>2380.124974</td>\n",
       "      <td>3840.227943</td>\n",
       "      <td>4478.028874</td>\n",
       "      <td>1035.981475</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Hawaiian</th>\n",
       "      <td>1435.265019</td>\n",
       "      <td>2554.287162</td>\n",
       "      <td>1571.295401</td>\n",
       "      <td>1219.560005</td>\n",
       "      <td>4342.093798</td>\n",
       "      <td>3485.671562</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5440.461781</td>\n",
       "      <td>764.083188</td>\n",
       "      <td>1187.941143</td>\n",
       "      <td>...</td>\n",
       "      <td>466.559118</td>\n",
       "      <td>2032.614245</td>\n",
       "      <td>1174.075616</td>\n",
       "      <td>8349.366438</td>\n",
       "      <td>1928.441480</td>\n",
       "      <td>2498.149024</td>\n",
       "      <td>5865.447190</td>\n",
       "      <td>358.476293</td>\n",
       "      <td>992.453252</td>\n",
       "      <td>2451.185161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Idaho</th>\n",
       "      <td>4006.104187</td>\n",
       "      <td>7994.155985</td>\n",
       "      <td>3872.257626</td>\n",
       "      <td>6659.534567</td>\n",
       "      <td>9782.158178</td>\n",
       "      <td>1959.731080</td>\n",
       "      <td>5440.461781</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4676.638384</td>\n",
       "      <td>6627.291780</td>\n",
       "      <td>...</td>\n",
       "      <td>5903.395450</td>\n",
       "      <td>3412.263965</td>\n",
       "      <td>6614.499239</td>\n",
       "      <td>2909.014679</td>\n",
       "      <td>7368.815437</td>\n",
       "      <td>2943.535570</td>\n",
       "      <td>447.828673</td>\n",
       "      <td>5795.958815</td>\n",
       "      <td>6432.132202</td>\n",
       "      <td>2989.963982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Kentucky</th>\n",
       "      <td>671.276346</td>\n",
       "      <td>3318.276558</td>\n",
       "      <td>807.920792</td>\n",
       "      <td>1983.314354</td>\n",
       "      <td>5106.094153</td>\n",
       "      <td>2721.706296</td>\n",
       "      <td>764.083188</td>\n",
       "      <td>4676.638384</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1951.628580</td>\n",
       "      <td>...</td>\n",
       "      <td>1228.436327</td>\n",
       "      <td>1269.102099</td>\n",
       "      <td>1938.026557</td>\n",
       "      <td>7585.467294</td>\n",
       "      <td>2692.212361</td>\n",
       "      <td>1734.103297</td>\n",
       "      <td>5101.414140</td>\n",
       "      <td>1119.940014</td>\n",
       "      <td>1756.378966</td>\n",
       "      <td>1687.236030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Madison</th>\n",
       "      <td>2622.699002</td>\n",
       "      <td>1367.090634</td>\n",
       "      <td>2758.559663</td>\n",
       "      <td>43.648894</td>\n",
       "      <td>3155.095594</td>\n",
       "      <td>4672.829286</td>\n",
       "      <td>1187.941143</td>\n",
       "      <td>6627.291780</td>\n",
       "      <td>1951.628580</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>724.096182</td>\n",
       "      <td>3219.825109</td>\n",
       "      <td>53.301401</td>\n",
       "      <td>9536.242192</td>\n",
       "      <td>744.253668</td>\n",
       "      <td>3685.510088</td>\n",
       "      <td>7052.723883</td>\n",
       "      <td>833.472995</td>\n",
       "      <td>199.228400</td>\n",
       "      <td>3638.097548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nevada</th>\n",
       "      <td>8364.031051</td>\n",
       "      <td>12353.062698</td>\n",
       "      <td>8229.223281</td>\n",
       "      <td>11018.057812</td>\n",
       "      <td>14141.022579</td>\n",
       "      <td>6314.359092</td>\n",
       "      <td>9799.015552</td>\n",
       "      <td>4359.599605</td>\n",
       "      <td>9035.007488</td>\n",
       "      <td>10986.098011</td>\n",
       "      <td>...</td>\n",
       "      <td>10262.157285</td>\n",
       "      <td>7768.384793</td>\n",
       "      <td>10973.010950</td>\n",
       "      <td>1452.162005</td>\n",
       "      <td>11727.066293</td>\n",
       "      <td>7301.040864</td>\n",
       "      <td>3934.617521</td>\n",
       "      <td>10154.118793</td>\n",
       "      <td>10791.049271</td>\n",
       "      <td>7348.049019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New England</th>\n",
       "      <td>2923.136103</td>\n",
       "      <td>1066.579432</td>\n",
       "      <td>3058.707429</td>\n",
       "      <td>271.452731</td>\n",
       "      <td>2854.099482</td>\n",
       "      <td>4973.506840</td>\n",
       "      <td>1488.014909</td>\n",
       "      <td>6928.326174</td>\n",
       "      <td>2252.026717</td>\n",
       "      <td>304.277034</td>\n",
       "      <td>...</td>\n",
       "      <td>1026.482994</td>\n",
       "      <td>3519.977565</td>\n",
       "      <td>314.354030</td>\n",
       "      <td>9837.281834</td>\n",
       "      <td>442.132760</td>\n",
       "      <td>3986.102433</td>\n",
       "      <td>7353.379146</td>\n",
       "      <td>1134.145010</td>\n",
       "      <td>496.687413</td>\n",
       "      <td>3939.100355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Northern</th>\n",
       "      <td>1899.279821</td>\n",
       "      <td>2091.160485</td>\n",
       "      <td>2035.441520</td>\n",
       "      <td>756.831954</td>\n",
       "      <td>3879.167462</td>\n",
       "      <td>3949.092316</td>\n",
       "      <td>466.559118</td>\n",
       "      <td>5903.395450</td>\n",
       "      <td>1228.436327</td>\n",
       "      <td>724.096182</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2496.638890</td>\n",
       "      <td>713.665046</td>\n",
       "      <td>8812.303559</td>\n",
       "      <td>1466.991954</td>\n",
       "      <td>2961.834750</td>\n",
       "      <td>6328.917948</td>\n",
       "      <td>119.981262</td>\n",
       "      <td>531.476328</td>\n",
       "      <td>2914.204993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Oklahoma</th>\n",
       "      <td>598.556633</td>\n",
       "      <td>4586.302564</td>\n",
       "      <td>461.341670</td>\n",
       "      <td>3250.984589</td>\n",
       "      <td>6373.743249</td>\n",
       "      <td>1454.292604</td>\n",
       "      <td>2032.614245</td>\n",
       "      <td>3412.263965</td>\n",
       "      <td>1269.102099</td>\n",
       "      <td>3219.825109</td>\n",
       "      <td>...</td>\n",
       "      <td>2496.638890</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3205.748876</td>\n",
       "      <td>6319.933836</td>\n",
       "      <td>3959.240748</td>\n",
       "      <td>470.164792</td>\n",
       "      <td>3834.012257</td>\n",
       "      <td>2386.942751</td>\n",
       "      <td>3024.952355</td>\n",
       "      <td>428.065259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Pacific</th>\n",
       "      <td>2609.045363</td>\n",
       "      <td>1380.749962</td>\n",
       "      <td>2744.502847</td>\n",
       "      <td>56.644626</td>\n",
       "      <td>3168.177463</td>\n",
       "      <td>4659.356262</td>\n",
       "      <td>1174.075616</td>\n",
       "      <td>6614.499239</td>\n",
       "      <td>1938.026557</td>\n",
       "      <td>53.301401</td>\n",
       "      <td>...</td>\n",
       "      <td>713.665046</td>\n",
       "      <td>3205.748876</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9523.413499</td>\n",
       "      <td>754.612093</td>\n",
       "      <td>3672.035402</td>\n",
       "      <td>7039.262070</td>\n",
       "      <td>820.164297</td>\n",
       "      <td>186.388651</td>\n",
       "      <td>3625.118869</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Puget</th>\n",
       "      <td>6914.742065</td>\n",
       "      <td>10903.146464</td>\n",
       "      <td>6780.430307</td>\n",
       "      <td>9568.434429</td>\n",
       "      <td>12691.155108</td>\n",
       "      <td>4866.111649</td>\n",
       "      <td>8349.366438</td>\n",
       "      <td>2909.014679</td>\n",
       "      <td>7585.467294</td>\n",
       "      <td>9536.242192</td>\n",
       "      <td>...</td>\n",
       "      <td>8812.303559</td>\n",
       "      <td>6319.933836</td>\n",
       "      <td>9523.413499</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>10277.660378</td>\n",
       "      <td>5851.893307</td>\n",
       "      <td>2488.432223</td>\n",
       "      <td>8704.721278</td>\n",
       "      <td>9341.126615</td>\n",
       "      <td>5898.576962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>San Diego</th>\n",
       "      <td>3363.061626</td>\n",
       "      <td>629.760748</td>\n",
       "      <td>3498.113013</td>\n",
       "      <td>710.292965</td>\n",
       "      <td>2414.698757</td>\n",
       "      <td>5413.093004</td>\n",
       "      <td>1928.441480</td>\n",
       "      <td>7368.815437</td>\n",
       "      <td>2692.212361</td>\n",
       "      <td>744.253668</td>\n",
       "      <td>...</td>\n",
       "      <td>1466.991954</td>\n",
       "      <td>3959.240748</td>\n",
       "      <td>754.612093</td>\n",
       "      <td>10277.660378</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4426.041889</td>\n",
       "      <td>7793.083947</td>\n",
       "      <td>1573.408379</td>\n",
       "      <td>938.522726</td>\n",
       "      <td>4379.211818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Southern</th>\n",
       "      <td>1063.009074</td>\n",
       "      <td>5052.331669</td>\n",
       "      <td>928.749249</td>\n",
       "      <td>3717.202963</td>\n",
       "      <td>6840.150291</td>\n",
       "      <td>988.044559</td>\n",
       "      <td>2498.149024</td>\n",
       "      <td>2943.535570</td>\n",
       "      <td>1734.103297</td>\n",
       "      <td>3685.510088</td>\n",
       "      <td>...</td>\n",
       "      <td>2961.834750</td>\n",
       "      <td>470.164792</td>\n",
       "      <td>3672.035402</td>\n",
       "      <td>5851.893307</td>\n",
       "      <td>4426.041889</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3367.318870</td>\n",
       "      <td>2853.298778</td>\n",
       "      <td>3490.422918</td>\n",
       "      <td>59.325286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Texas</th>\n",
       "      <td>4430.251585</td>\n",
       "      <td>8419.610541</td>\n",
       "      <td>4295.014690</td>\n",
       "      <td>7084.372839</td>\n",
       "      <td>10207.392630</td>\n",
       "      <td>2380.124974</td>\n",
       "      <td>5865.447190</td>\n",
       "      <td>447.828673</td>\n",
       "      <td>5101.414140</td>\n",
       "      <td>7052.723883</td>\n",
       "      <td>...</td>\n",
       "      <td>6328.917948</td>\n",
       "      <td>3834.012257</td>\n",
       "      <td>7039.262070</td>\n",
       "      <td>2488.432223</td>\n",
       "      <td>7793.083947</td>\n",
       "      <td>3367.318870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>6220.296729</td>\n",
       "      <td>6857.735864</td>\n",
       "      <td>3414.831455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Wisconsin</th>\n",
       "      <td>1790.485648</td>\n",
       "      <td>2199.721665</td>\n",
       "      <td>1925.772564</td>\n",
       "      <td>864.273153</td>\n",
       "      <td>3987.335962</td>\n",
       "      <td>3840.227943</td>\n",
       "      <td>358.476293</td>\n",
       "      <td>5795.958815</td>\n",
       "      <td>1119.940014</td>\n",
       "      <td>833.472995</td>\n",
       "      <td>...</td>\n",
       "      <td>119.981262</td>\n",
       "      <td>2386.942751</td>\n",
       "      <td>820.164297</td>\n",
       "      <td>8704.721278</td>\n",
       "      <td>1573.408379</td>\n",
       "      <td>2853.298778</td>\n",
       "      <td>6220.296729</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>640.786770</td>\n",
       "      <td>2806.165712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>United</th>\n",
       "      <td>2427.588875</td>\n",
       "      <td>1562.210811</td>\n",
       "      <td>2563.637362</td>\n",
       "      <td>232.476871</td>\n",
       "      <td>3350.073118</td>\n",
       "      <td>4478.028874</td>\n",
       "      <td>992.453252</td>\n",
       "      <td>6432.132202</td>\n",
       "      <td>1756.378966</td>\n",
       "      <td>199.228400</td>\n",
       "      <td>...</td>\n",
       "      <td>531.476328</td>\n",
       "      <td>3024.952355</td>\n",
       "      <td>186.388651</td>\n",
       "      <td>9341.126615</td>\n",
       "      <td>938.522726</td>\n",
       "      <td>3490.422918</td>\n",
       "      <td>6857.735864</td>\n",
       "      <td>640.786770</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3443.240967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Virginia</th>\n",
       "      <td>1016.617691</td>\n",
       "      <td>5005.081262</td>\n",
       "      <td>883.535455</td>\n",
       "      <td>3670.018191</td>\n",
       "      <td>6793.035300</td>\n",
       "      <td>1035.981475</td>\n",
       "      <td>2451.185161</td>\n",
       "      <td>2989.963982</td>\n",
       "      <td>1687.236030</td>\n",
       "      <td>3638.097548</td>\n",
       "      <td>...</td>\n",
       "      <td>2914.204993</td>\n",
       "      <td>428.065259</td>\n",
       "      <td>3625.118869</td>\n",
       "      <td>5898.576962</td>\n",
       "      <td>4379.211818</td>\n",
       "      <td>59.325286</td>\n",
       "      <td>3414.831455</td>\n",
       "      <td>2806.165712</td>\n",
       "      <td>3443.240967</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>22 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "Company          Arizona        Boston      Central   Commonwealth  \\\n",
       "Company                                                              \n",
       "Arizona          0.000000   3989.408076   140.402855   2654.277632   \n",
       "Boston        3989.408076      0.000000  4125.044132   1335.466502   \n",
       "Central        140.402855   4125.044132     0.000000   2789.759674   \n",
       "Commonwealth  2654.277632   1335.466502  2789.759674      0.000000   \n",
       "NY            5777.167672   1788.068027  5912.552908   3123.153215   \n",
       "Florida       2050.529440   6039.689076  1915.155154   4704.363099   \n",
       "Hawaiian      1435.265019   2554.287162  1571.295401   1219.560005   \n",
       "Idaho         4006.104187   7994.155985  3872.257626   6659.534567   \n",
       "Kentucky       671.276346   3318.276558   807.920792   1983.314354   \n",
       "Madison       2622.699002   1367.090634  2758.559663     43.648894   \n",
       "Nevada        8364.031051  12353.062698  8229.223281  11018.057812   \n",
       "New England   2923.136103   1066.579432  3058.707429    271.452731   \n",
       "Northern      1899.279821   2091.160485  2035.441520    756.831954   \n",
       "Oklahoma       598.556633   4586.302564   461.341670   3250.984589   \n",
       "Pacific       2609.045363   1380.749962  2744.502847     56.644626   \n",
       "Puget         6914.742065  10903.146464  6780.430307   9568.434429   \n",
       "San Diego     3363.061626    629.760748  3498.113013    710.292965   \n",
       "Southern      1063.009074   5052.331669   928.749249   3717.202963   \n",
       "Texas         4430.251585   8419.610541  4295.014690   7084.372839   \n",
       "Wisconsin     1790.485648   2199.721665  1925.772564    864.273153   \n",
       "United        2427.588875   1562.210811  2563.637362    232.476871   \n",
       "Virginia      1016.617691   5005.081262   883.535455   3670.018191   \n",
       "\n",
       "Company                 NY     Florida     Hawaiian         Idaho  \\\n",
       "Company                                                             \n",
       "Arizona        5777.167672  2050.529440  1435.265019  4006.104187   \n",
       "Boston         1788.068027  6039.689076  2554.287162  7994.155985   \n",
       "Central        5912.552908  1915.155154  1571.295401  3872.257626   \n",
       "Commonwealth   3123.153215  4704.363099  1219.560005  6659.534567   \n",
       "NY                0.000000  7827.429211  4342.093798  9782.158178   \n",
       "Florida        7827.429211     0.000000  3485.671562  1959.731080   \n",
       "Hawaiian       4342.093798  3485.671562     0.000000  5440.461781   \n",
       "Idaho          9782.158178  1959.731080  5440.461781     0.000000   \n",
       "Kentucky       5106.094153  2721.706296   764.083188  4676.638384   \n",
       "Madison        3155.095594  4672.829286  1187.941143  6627.291780   \n",
       "Nevada        14141.022579  6314.359092  9799.015552  4359.599605   \n",
       "New England    2854.099482  4973.506840  1488.014909  6928.326174   \n",
       "Northern       3879.167462  3949.092316   466.559118  5903.395450   \n",
       "Oklahoma       6373.743249  1454.292604  2032.614245  3412.263965   \n",
       "Pacific        3168.177463  4659.356262  1174.075616  6614.499239   \n",
       "Puget         12691.155108  4866.111649  8349.366438  2909.014679   \n",
       "San Diego      2414.698757  5413.093004  1928.441480  7368.815437   \n",
       "Southern       6840.150291   988.044559  2498.149024  2943.535570   \n",
       "Texas         10207.392630  2380.124974  5865.447190   447.828673   \n",
       "Wisconsin      3987.335962  3840.227943   358.476293  5795.958815   \n",
       "United         3350.073118  4478.028874   992.453252  6432.132202   \n",
       "Virginia       6793.035300  1035.981475  2451.185161  2989.963982   \n",
       "\n",
       "Company          Kentucky      Madison   ...      Northern     Oklahoma  \\\n",
       "Company                                  ...                              \n",
       "Arizona        671.276346   2622.699002  ...   1899.279821   598.556633   \n",
       "Boston        3318.276558   1367.090634  ...   2091.160485  4586.302564   \n",
       "Central        807.920792   2758.559663  ...   2035.441520   461.341670   \n",
       "Commonwealth  1983.314354     43.648894  ...    756.831954  3250.984589   \n",
       "NY            5106.094153   3155.095594  ...   3879.167462  6373.743249   \n",
       "Florida       2721.706296   4672.829286  ...   3949.092316  1454.292604   \n",
       "Hawaiian       764.083188   1187.941143  ...    466.559118  2032.614245   \n",
       "Idaho         4676.638384   6627.291780  ...   5903.395450  3412.263965   \n",
       "Kentucky         0.000000   1951.628580  ...   1228.436327  1269.102099   \n",
       "Madison       1951.628580      0.000000  ...    724.096182  3219.825109   \n",
       "Nevada        9035.007488  10986.098011  ...  10262.157285  7768.384793   \n",
       "New England   2252.026717    304.277034  ...   1026.482994  3519.977565   \n",
       "Northern      1228.436327    724.096182  ...      0.000000  2496.638890   \n",
       "Oklahoma      1269.102099   3219.825109  ...   2496.638890     0.000000   \n",
       "Pacific       1938.026557     53.301401  ...    713.665046  3205.748876   \n",
       "Puget         7585.467294   9536.242192  ...   8812.303559  6319.933836   \n",
       "San Diego     2692.212361    744.253668  ...   1466.991954  3959.240748   \n",
       "Southern      1734.103297   3685.510088  ...   2961.834750   470.164792   \n",
       "Texas         5101.414140   7052.723883  ...   6328.917948  3834.012257   \n",
       "Wisconsin     1119.940014    833.472995  ...    119.981262  2386.942751   \n",
       "United        1756.378966    199.228400  ...    531.476328  3024.952355   \n",
       "Virginia      1687.236030   3638.097548  ...   2914.204993   428.065259   \n",
       "\n",
       "Company           Pacific          Puget     San Diego     Southern  \\\n",
       "Company                                                               \n",
       "Arizona        2609.045363   6914.742065   3363.061626  1063.009074   \n",
       "Boston         1380.749962  10903.146464    629.760748  5052.331669   \n",
       "Central        2744.502847   6780.430307   3498.113013   928.749249   \n",
       "Commonwealth     56.644626   9568.434429    710.292965  3717.202963   \n",
       "NY             3168.177463  12691.155108   2414.698757  6840.150291   \n",
       "Florida        4659.356262   4866.111649   5413.093004   988.044559   \n",
       "Hawaiian       1174.075616   8349.366438   1928.441480  2498.149024   \n",
       "Idaho          6614.499239   2909.014679   7368.815437  2943.535570   \n",
       "Kentucky       1938.026557   7585.467294   2692.212361  1734.103297   \n",
       "Madison          53.301401   9536.242192    744.253668  3685.510088   \n",
       "Nevada        10973.010950   1452.162005  11727.066293  7301.040864   \n",
       "New England     314.354030   9837.281834    442.132760  3986.102433   \n",
       "Northern        713.665046   8812.303559   1466.991954  2961.834750   \n",
       "Oklahoma       3205.748876   6319.933836   3959.240748   470.164792   \n",
       "Pacific           0.000000   9523.413499    754.612093  3672.035402   \n",
       "Puget          9523.413499      0.000000  10277.660378  5851.893307   \n",
       "San Diego       754.612093  10277.660378      0.000000  4426.041889   \n",
       "Southern       3672.035402   5851.893307   4426.041889     0.000000   \n",
       "Texas          7039.262070   2488.432223   7793.083947  3367.318870   \n",
       "Wisconsin       820.164297   8704.721278   1573.408379  2853.298778   \n",
       "United          186.388651   9341.126615    938.522726  3490.422918   \n",
       "Virginia       3625.118869   5898.576962   4379.211818    59.325286   \n",
       "\n",
       "Company              Texas     Wisconsin        United     Virginia  \n",
       "Company                                                              \n",
       "Arizona        4430.251585   1790.485648   2427.588875  1016.617691  \n",
       "Boston         8419.610541   2199.721665   1562.210811  5005.081262  \n",
       "Central        4295.014690   1925.772564   2563.637362   883.535455  \n",
       "Commonwealth   7084.372839    864.273153    232.476871  3670.018191  \n",
       "NY            10207.392630   3987.335962   3350.073118  6793.035300  \n",
       "Florida        2380.124974   3840.227943   4478.028874  1035.981475  \n",
       "Hawaiian       5865.447190    358.476293    992.453252  2451.185161  \n",
       "Idaho           447.828673   5795.958815   6432.132202  2989.963982  \n",
       "Kentucky       5101.414140   1119.940014   1756.378966  1687.236030  \n",
       "Madison        7052.723883    833.472995    199.228400  3638.097548  \n",
       "Nevada         3934.617521  10154.118793  10791.049271  7348.049019  \n",
       "New England    7353.379146   1134.145010    496.687413  3939.100355  \n",
       "Northern       6328.917948    119.981262    531.476328  2914.204993  \n",
       "Oklahoma       3834.012257   2386.942751   3024.952355   428.065259  \n",
       "Pacific        7039.262070    820.164297    186.388651  3625.118869  \n",
       "Puget          2488.432223   8704.721278   9341.126615  5898.576962  \n",
       "San Diego      7793.083947   1573.408379    938.522726  4379.211818  \n",
       "Southern       3367.318870   2853.298778   3490.422918    59.325286  \n",
       "Texas             0.000000   6220.296729   6857.735864  3414.831455  \n",
       "Wisconsin      6220.296729      0.000000    640.786770  2806.165712  \n",
       "United         6857.735864    640.786770      0.000000  3443.240967  \n",
       "Virginia       3414.831455   2806.165712   3443.240967     0.000000  \n",
       "\n",
       "[22 rows x 22 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = pairwise.pairwise_distances(df, metric = 'euclidean')\n",
    "pd.DataFrame(d, columns= df.index, index = df.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "90c01e46-aaa8-4fbe-9bf0-2ae96b9f2248",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th>Company</th>\n",
       "      <th>Arizona</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.010329</td>\n",
       "      <td>0.774179</td>\n",
       "      <td>0.758738</td>\n",
       "      <td>3.021907</td>\n",
       "      <td>1.244422</td>\n",
       "      <td>1.885248</td>\n",
       "      <td>1.265638</td>\n",
       "      <td>0.461292</td>\n",
       "      <td>0.738650</td>\n",
       "      <td>...</td>\n",
       "      <td>0.564657</td>\n",
       "      <td>0.182648</td>\n",
       "      <td>1.570780</td>\n",
       "      <td>1.947668</td>\n",
       "      <td>2.509043</td>\n",
       "      <td>0.913621</td>\n",
       "      <td>1.247976</td>\n",
       "      <td>0.521491</td>\n",
       "      <td>2.761745</td>\n",
       "      <td>1.252350</td>\n",
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       "    <tr>\n",
       "      <th>Boston</th>\n",
       "      <td>2.010329</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.465703</td>\n",
       "      <td>1.582821</td>\n",
       "      <td>1.013370</td>\n",
       "      <td>1.792397</td>\n",
       "      <td>0.740283</td>\n",
       "      <td>3.176654</td>\n",
       "      <td>1.557738</td>\n",
       "      <td>1.719632</td>\n",
       "      <td>...</td>\n",
       "      <td>1.940166</td>\n",
       "      <td>2.166078</td>\n",
       "      <td>0.478334</td>\n",
       "      <td>3.501390</td>\n",
       "      <td>0.679634</td>\n",
       "      <td>1.634425</td>\n",
       "      <td>2.890560</td>\n",
       "      <td>1.654255</td>\n",
       "      <td>1.100595</td>\n",
       "      <td>1.479261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Central</th>\n",
       "      <td>0.774179</td>\n",
       "      <td>1.465703</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.015710</td>\n",
       "      <td>2.432528</td>\n",
       "      <td>0.631892</td>\n",
       "      <td>1.156092</td>\n",
       "      <td>1.732777</td>\n",
       "      <td>0.419254</td>\n",
       "      <td>1.102287</td>\n",
       "      <td>...</td>\n",
       "      <td>1.113433</td>\n",
       "      <td>0.855093</td>\n",
       "      <td>0.987772</td>\n",
       "      <td>2.065643</td>\n",
       "      <td>1.836762</td>\n",
       "      <td>0.276440</td>\n",
       "      <td>1.428159</td>\n",
       "      <td>0.838967</td>\n",
       "      <td>2.034824</td>\n",
       "      <td>0.510365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Commonwealth</th>\n",
       "      <td>0.758738</td>\n",
       "      <td>1.582821</td>\n",
       "      <td>1.015710</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.571969</td>\n",
       "      <td>1.643857</td>\n",
       "      <td>1.746027</td>\n",
       "      <td>2.003230</td>\n",
       "      <td>0.629994</td>\n",
       "      <td>0.138758</td>\n",
       "      <td>...</td>\n",
       "      <td>0.377004</td>\n",
       "      <td>0.937389</td>\n",
       "      <td>1.258835</td>\n",
       "      <td>2.699060</td>\n",
       "      <td>2.202930</td>\n",
       "      <td>1.278514</td>\n",
       "      <td>1.998818</td>\n",
       "      <td>0.243408</td>\n",
       "      <td>2.547116</td>\n",
       "      <td>1.502093</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NY</th>\n",
       "      <td>3.021907</td>\n",
       "      <td>1.013370</td>\n",
       "      <td>2.432528</td>\n",
       "      <td>2.571969</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.635573</td>\n",
       "      <td>1.411695</td>\n",
       "      <td>4.162561</td>\n",
       "      <td>2.566439</td>\n",
       "      <td>2.705445</td>\n",
       "      <td>...</td>\n",
       "      <td>2.938637</td>\n",
       "      <td>3.174588</td>\n",
       "      <td>1.462019</td>\n",
       "      <td>4.397433</td>\n",
       "      <td>0.715629</td>\n",
       "      <td>2.558409</td>\n",
       "      <td>3.831132</td>\n",
       "      <td>2.661786</td>\n",
       "      <td>0.952507</td>\n",
       "      <td>2.328691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Florida</th>\n",
       "      <td>1.244422</td>\n",
       "      <td>1.792397</td>\n",
       "      <td>0.631892</td>\n",
       "      <td>1.643857</td>\n",
       "      <td>2.635573</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.228805</td>\n",
       "      <td>1.764123</td>\n",
       "      <td>1.025663</td>\n",
       "      <td>1.722510</td>\n",
       "      <td>...</td>\n",
       "      <td>1.698624</td>\n",
       "      <td>1.243634</td>\n",
       "      <td>1.343185</td>\n",
       "      <td>1.767581</td>\n",
       "      <td>1.953423</td>\n",
       "      <td>0.366744</td>\n",
       "      <td>1.277920</td>\n",
       "      <td>1.452417</td>\n",
       "      <td>2.016493</td>\n",
       "      <td>0.313847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Hawaiian</th>\n",
       "      <td>1.885248</td>\n",
       "      <td>0.740283</td>\n",
       "      <td>1.156092</td>\n",
       "      <td>1.746027</td>\n",
       "      <td>1.411695</td>\n",
       "      <td>1.228805</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.860189</td>\n",
       "      <td>1.436822</td>\n",
       "      <td>1.880361</td>\n",
       "      <td>...</td>\n",
       "      <td>2.027224</td>\n",
       "      <td>1.997036</td>\n",
       "      <td>0.560997</td>\n",
       "      <td>2.995848</td>\n",
       "      <td>0.726095</td>\n",
       "      <td>1.205034</td>\n",
       "      <td>2.463227</td>\n",
       "      <td>1.711256</td>\n",
       "      <td>0.879934</td>\n",
       "      <td>0.929414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Idaho</th>\n",
       "      <td>1.265638</td>\n",
       "      <td>3.176654</td>\n",
       "      <td>1.732777</td>\n",
       "      <td>2.003230</td>\n",
       "      <td>4.162561</td>\n",
       "      <td>1.764123</td>\n",
       "      <td>2.860189</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.650417</td>\n",
       "      <td>1.950296</td>\n",
       "      <td>...</td>\n",
       "      <td>1.708409</td>\n",
       "      <td>1.083449</td>\n",
       "      <td>2.705579</td>\n",
       "      <td>0.992092</td>\n",
       "      <td>3.563727</td>\n",
       "      <td>1.658671</td>\n",
       "      <td>0.600089</td>\n",
       "      <td>1.778813</td>\n",
       "      <td>3.720421</td>\n",
       "      <td>1.980715</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Kentucky</th>\n",
       "      <td>0.461292</td>\n",
       "      <td>1.557738</td>\n",
       "      <td>0.419254</td>\n",
       "      <td>0.629994</td>\n",
       "      <td>2.566439</td>\n",
       "      <td>1.025663</td>\n",
       "      <td>1.436822</td>\n",
       "      <td>1.650417</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.697674</td>\n",
       "      <td>...</td>\n",
       "      <td>0.694524</td>\n",
       "      <td>0.608401</td>\n",
       "      <td>1.110854</td>\n",
       "      <td>2.180496</td>\n",
       "      <td>2.048098</td>\n",
       "      <td>0.658996</td>\n",
       "      <td>1.493274</td>\n",
       "      <td>0.426780</td>\n",
       "      <td>2.308613</td>\n",
       "      <td>0.929141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Madison</th>\n",
       "      <td>0.738650</td>\n",
       "      <td>1.719632</td>\n",
       "      <td>1.102287</td>\n",
       "      <td>0.138758</td>\n",
       "      <td>2.705445</td>\n",
       "      <td>1.722510</td>\n",
       "      <td>1.880361</td>\n",
       "      <td>1.950296</td>\n",
       "      <td>0.697674</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.267198</td>\n",
       "      <td>0.908665</td>\n",
       "      <td>1.397240</td>\n",
       "      <td>2.686215</td>\n",
       "      <td>2.341644</td>\n",
       "      <td>1.355786</td>\n",
       "      <td>1.986625</td>\n",
       "      <td>0.274061</td>\n",
       "      <td>2.685340</td>\n",
       "      <td>1.599587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nevada</th>\n",
       "      <td>2.369479</td>\n",
       "      <td>3.756513</td>\n",
       "      <td>2.375975</td>\n",
       "      <td>3.106084</td>\n",
       "      <td>4.597006</td>\n",
       "      <td>1.971518</td>\n",
       "      <td>3.185311</td>\n",
       "      <td>1.479526</td>\n",
       "      <td>2.550689</td>\n",
       "      <td>3.105627</td>\n",
       "      <td>...</td>\n",
       "      <td>2.923023</td>\n",
       "      <td>2.211990</td>\n",
       "      <td>3.293310</td>\n",
       "      <td>0.487508</td>\n",
       "      <td>3.899212</td>\n",
       "      <td>2.145585</td>\n",
       "      <td>1.133311</td>\n",
       "      <td>2.862756</td>\n",
       "      <td>3.887918</td>\n",
       "      <td>2.284803</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New England</th>\n",
       "      <td>2.425975</td>\n",
       "      <td>0.684393</td>\n",
       "      <td>1.737322</td>\n",
       "      <td>2.153831</td>\n",
       "      <td>0.846291</td>\n",
       "      <td>1.831380</td>\n",
       "      <td>0.608107</td>\n",
       "      <td>3.458771</td>\n",
       "      <td>1.966323</td>\n",
       "      <td>2.292531</td>\n",
       "      <td>...</td>\n",
       "      <td>2.480456</td>\n",
       "      <td>2.554109</td>\n",
       "      <td>0.898094</td>\n",
       "      <td>3.598846</td>\n",
       "      <td>0.130663</td>\n",
       "      <td>1.809354</td>\n",
       "      <td>3.071178</td>\n",
       "      <td>2.172473</td>\n",
       "      <td>0.417866</td>\n",
       "      <td>1.536436</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Northern</th>\n",
       "      <td>0.564657</td>\n",
       "      <td>1.940166</td>\n",
       "      <td>1.113433</td>\n",
       "      <td>0.377004</td>\n",
       "      <td>2.938637</td>\n",
       "      <td>1.698624</td>\n",
       "      <td>2.027224</td>\n",
       "      <td>1.708409</td>\n",
       "      <td>0.694524</td>\n",
       "      <td>0.267198</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.711050</td>\n",
       "      <td>1.582591</td>\n",
       "      <td>2.487892</td>\n",
       "      <td>2.538720</td>\n",
       "      <td>1.336887</td>\n",
       "      <td>1.793287</td>\n",
       "      <td>0.316160</td>\n",
       "      <td>2.861293</td>\n",
       "      <td>1.623614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Oklahoma</th>\n",
       "      <td>0.182648</td>\n",
       "      <td>2.166078</td>\n",
       "      <td>0.855093</td>\n",
       "      <td>0.937389</td>\n",
       "      <td>3.174588</td>\n",
       "      <td>1.243634</td>\n",
       "      <td>1.997036</td>\n",
       "      <td>1.083449</td>\n",
       "      <td>0.608401</td>\n",
       "      <td>0.908665</td>\n",
       "      <td>...</td>\n",
       "      <td>0.711050</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.716739</td>\n",
       "      <td>1.780656</td>\n",
       "      <td>2.642155</td>\n",
       "      <td>0.944295</td>\n",
       "      <td>1.083449</td>\n",
       "      <td>0.702684</td>\n",
       "      <td>2.876646</td>\n",
       "      <td>1.296548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Pacific</th>\n",
       "      <td>1.570780</td>\n",
       "      <td>0.478334</td>\n",
       "      <td>0.987772</td>\n",
       "      <td>1.258835</td>\n",
       "      <td>1.462019</td>\n",
       "      <td>1.343185</td>\n",
       "      <td>0.560997</td>\n",
       "      <td>2.705579</td>\n",
       "      <td>1.110854</td>\n",
       "      <td>1.397240</td>\n",
       "      <td>...</td>\n",
       "      <td>1.582591</td>\n",
       "      <td>1.716739</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.027116</td>\n",
       "      <td>0.958905</td>\n",
       "      <td>1.160017</td>\n",
       "      <td>2.412278</td>\n",
       "      <td>1.276200</td>\n",
       "      <td>1.288563</td>\n",
       "      <td>1.035028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Puget</th>\n",
       "      <td>1.947668</td>\n",
       "      <td>3.501390</td>\n",
       "      <td>2.065643</td>\n",
       "      <td>2.699060</td>\n",
       "      <td>4.397433</td>\n",
       "      <td>1.767581</td>\n",
       "      <td>2.995848</td>\n",
       "      <td>0.992092</td>\n",
       "      <td>2.180496</td>\n",
       "      <td>2.686215</td>\n",
       "      <td>...</td>\n",
       "      <td>2.487892</td>\n",
       "      <td>1.780656</td>\n",
       "      <td>3.027116</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.720970</td>\n",
       "      <td>1.867235</td>\n",
       "      <td>0.700313</td>\n",
       "      <td>2.456272</td>\n",
       "      <td>3.763066</td>\n",
       "      <td>2.069314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>San Diego</th>\n",
       "      <td>2.509043</td>\n",
       "      <td>0.679634</td>\n",
       "      <td>1.836762</td>\n",
       "      <td>2.202930</td>\n",
       "      <td>0.715629</td>\n",
       "      <td>1.953423</td>\n",
       "      <td>0.726095</td>\n",
       "      <td>3.563727</td>\n",
       "      <td>2.048098</td>\n",
       "      <td>2.341644</td>\n",
       "      <td>...</td>\n",
       "      <td>2.538720</td>\n",
       "      <td>2.642155</td>\n",
       "      <td>0.958905</td>\n",
       "      <td>3.720970</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.920035</td>\n",
       "      <td>3.185942</td>\n",
       "      <td>2.234632</td>\n",
       "      <td>0.440163</td>\n",
       "      <td>1.655498</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Southern</th>\n",
       "      <td>0.913621</td>\n",
       "      <td>1.634425</td>\n",
       "      <td>0.276440</td>\n",
       "      <td>1.278514</td>\n",
       "      <td>2.558409</td>\n",
       "      <td>0.366744</td>\n",
       "      <td>1.205034</td>\n",
       "      <td>1.658671</td>\n",
       "      <td>0.658996</td>\n",
       "      <td>1.355786</td>\n",
       "      <td>...</td>\n",
       "      <td>1.336887</td>\n",
       "      <td>0.944295</td>\n",
       "      <td>1.160017</td>\n",
       "      <td>1.867235</td>\n",
       "      <td>1.920035</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.272784</td>\n",
       "      <td>1.085774</td>\n",
       "      <td>2.062067</td>\n",
       "      <td>0.356298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Texas</th>\n",
       "      <td>1.247976</td>\n",
       "      <td>2.890560</td>\n",
       "      <td>1.428159</td>\n",
       "      <td>1.998818</td>\n",
       "      <td>3.831132</td>\n",
       "      <td>1.277920</td>\n",
       "      <td>2.463227</td>\n",
       "      <td>0.600089</td>\n",
       "      <td>1.493274</td>\n",
       "      <td>1.986625</td>\n",
       "      <td>...</td>\n",
       "      <td>1.793287</td>\n",
       "      <td>1.083449</td>\n",
       "      <td>2.412278</td>\n",
       "      <td>0.700313</td>\n",
       "      <td>3.185942</td>\n",
       "      <td>1.272784</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.756136</td>\n",
       "      <td>3.288460</td>\n",
       "      <td>1.541576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Wisconsin</th>\n",
       "      <td>0.521491</td>\n",
       "      <td>1.654255</td>\n",
       "      <td>0.838967</td>\n",
       "      <td>0.243408</td>\n",
       "      <td>2.661786</td>\n",
       "      <td>1.452417</td>\n",
       "      <td>1.711256</td>\n",
       "      <td>1.778813</td>\n",
       "      <td>0.426780</td>\n",
       "      <td>0.274061</td>\n",
       "      <td>...</td>\n",
       "      <td>0.316160</td>\n",
       "      <td>0.702684</td>\n",
       "      <td>1.276200</td>\n",
       "      <td>2.456272</td>\n",
       "      <td>2.234632</td>\n",
       "      <td>1.085774</td>\n",
       "      <td>1.756136</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.549040</td>\n",
       "      <td>1.343306</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>United</th>\n",
       "      <td>2.761745</td>\n",
       "      <td>1.100595</td>\n",
       "      <td>2.034824</td>\n",
       "      <td>2.547116</td>\n",
       "      <td>0.952507</td>\n",
       "      <td>2.016493</td>\n",
       "      <td>0.879934</td>\n",
       "      <td>3.720421</td>\n",
       "      <td>2.308613</td>\n",
       "      <td>2.685340</td>\n",
       "      <td>...</td>\n",
       "      <td>2.861293</td>\n",
       "      <td>2.876646</td>\n",
       "      <td>1.288563</td>\n",
       "      <td>3.763066</td>\n",
       "      <td>0.440163</td>\n",
       "      <td>2.062067</td>\n",
       "      <td>3.288460</td>\n",
       "      <td>2.549040</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.749930</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Virginia</th>\n",
       "      <td>1.252350</td>\n",
       "      <td>1.479261</td>\n",
       "      <td>0.510365</td>\n",
       "      <td>1.502093</td>\n",
       "      <td>2.328691</td>\n",
       "      <td>0.313847</td>\n",
       "      <td>0.929414</td>\n",
       "      <td>1.980715</td>\n",
       "      <td>0.929141</td>\n",
       "      <td>1.599587</td>\n",
       "      <td>...</td>\n",
       "      <td>1.623614</td>\n",
       "      <td>1.296548</td>\n",
       "      <td>1.035028</td>\n",
       "      <td>2.069314</td>\n",
       "      <td>1.655498</td>\n",
       "      <td>0.356298</td>\n",
       "      <td>1.541576</td>\n",
       "      <td>1.343306</td>\n",
       "      <td>1.749930</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>22 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "Company       Arizona    Boston   Central   Commonwealth        NY  Florida   \\\n",
       "Company                                                                        \n",
       "Arizona       0.000000  2.010329  0.774179      0.758738  3.021907  1.244422   \n",
       "Boston        2.010329  0.000000  1.465703      1.582821  1.013370  1.792397   \n",
       "Central       0.774179  1.465703  0.000000      1.015710  2.432528  0.631892   \n",
       "Commonwealth  0.758738  1.582821  1.015710      0.000000  2.571969  1.643857   \n",
       "NY            3.021907  1.013370  2.432528      2.571969  0.000000  2.635573   \n",
       "Florida       1.244422  1.792397  0.631892      1.643857  2.635573  0.000000   \n",
       "Hawaiian      1.885248  0.740283  1.156092      1.746027  1.411695  1.228805   \n",
       "Idaho         1.265638  3.176654  1.732777      2.003230  4.162561  1.764123   \n",
       "Kentucky      0.461292  1.557738  0.419254      0.629994  2.566439  1.025663   \n",
       "Madison       0.738650  1.719632  1.102287      0.138758  2.705445  1.722510   \n",
       "Nevada        2.369479  3.756513  2.375975      3.106084  4.597006  1.971518   \n",
       "New England   2.425975  0.684393  1.737322      2.153831  0.846291  1.831380   \n",
       "Northern      0.564657  1.940166  1.113433      0.377004  2.938637  1.698624   \n",
       "Oklahoma      0.182648  2.166078  0.855093      0.937389  3.174588  1.243634   \n",
       "Pacific       1.570780  0.478334  0.987772      1.258835  1.462019  1.343185   \n",
       "Puget         1.947668  3.501390  2.065643      2.699060  4.397433  1.767581   \n",
       "San Diego     2.509043  0.679634  1.836762      2.202930  0.715629  1.953423   \n",
       "Southern      0.913621  1.634425  0.276440      1.278514  2.558409  0.366744   \n",
       "Texas         1.247976  2.890560  1.428159      1.998818  3.831132  1.277920   \n",
       "Wisconsin     0.521491  1.654255  0.838967      0.243408  2.661786  1.452417   \n",
       "United        2.761745  1.100595  2.034824      2.547116  0.952507  2.016493   \n",
       "Virginia      1.252350  1.479261  0.510365      1.502093  2.328691  0.313847   \n",
       "\n",
       "Company       Hawaiian      Idaho  Kentucky  Madison   ...  Northern  \\\n",
       "Company                                                ...             \n",
       "Arizona        1.885248  1.265638  0.461292  0.738650  ...  0.564657   \n",
       "Boston         0.740283  3.176654  1.557738  1.719632  ...  1.940166   \n",
       "Central        1.156092  1.732777  0.419254  1.102287  ...  1.113433   \n",
       "Commonwealth   1.746027  2.003230  0.629994  0.138758  ...  0.377004   \n",
       "NY             1.411695  4.162561  2.566439  2.705445  ...  2.938637   \n",
       "Florida        1.228805  1.764123  1.025663  1.722510  ...  1.698624   \n",
       "Hawaiian       0.000000  2.860189  1.436822  1.880361  ...  2.027224   \n",
       "Idaho          2.860189  0.000000  1.650417  1.950296  ...  1.708409   \n",
       "Kentucky       1.436822  1.650417  0.000000  0.697674  ...  0.694524   \n",
       "Madison        1.880361  1.950296  0.697674  0.000000  ...  0.267198   \n",
       "Nevada         3.185311  1.479526  2.550689  3.105627  ...  2.923023   \n",
       "New England    0.608107  3.458771  1.966323  2.292531  ...  2.480456   \n",
       "Northern       2.027224  1.708409  0.694524  0.267198  ...  0.000000   \n",
       "Oklahoma       1.997036  1.083449  0.608401  0.908665  ...  0.711050   \n",
       "Pacific        0.560997  2.705579  1.110854  1.397240  ...  1.582591   \n",
       "Puget          2.995848  0.992092  2.180496  2.686215  ...  2.487892   \n",
       "San Diego      0.726095  3.563727  2.048098  2.341644  ...  2.538720   \n",
       "Southern       1.205034  1.658671  0.658996  1.355786  ...  1.336887   \n",
       "Texas          2.463227  0.600089  1.493274  1.986625  ...  1.793287   \n",
       "Wisconsin      1.711256  1.778813  0.426780  0.274061  ...  0.316160   \n",
       "United         0.879934  3.720421  2.308613  2.685340  ...  2.861293   \n",
       "Virginia       0.929414  1.980715  0.929141  1.599587  ...  1.623614   \n",
       "\n",
       "Company       Oklahoma  Pacific      Puget  San Diego  Southern     Texas  \\\n",
       "Company                                                                     \n",
       "Arizona       0.182648  1.570780  1.947668   2.509043  0.913621  1.247976   \n",
       "Boston        2.166078  0.478334  3.501390   0.679634  1.634425  2.890560   \n",
       "Central       0.855093  0.987772  2.065643   1.836762  0.276440  1.428159   \n",
       "Commonwealth  0.937389  1.258835  2.699060   2.202930  1.278514  1.998818   \n",
       "NY            3.174588  1.462019  4.397433   0.715629  2.558409  3.831132   \n",
       "Florida       1.243634  1.343185  1.767581   1.953423  0.366744  1.277920   \n",
       "Hawaiian      1.997036  0.560997  2.995848   0.726095  1.205034  2.463227   \n",
       "Idaho         1.083449  2.705579  0.992092   3.563727  1.658671  0.600089   \n",
       "Kentucky      0.608401  1.110854  2.180496   2.048098  0.658996  1.493274   \n",
       "Madison       0.908665  1.397240  2.686215   2.341644  1.355786  1.986625   \n",
       "Nevada        2.211990  3.293310  0.487508   3.899212  2.145585  1.133311   \n",
       "New England   2.554109  0.898094  3.598846   0.130663  1.809354  3.071178   \n",
       "Northern      0.711050  1.582591  2.487892   2.538720  1.336887  1.793287   \n",
       "Oklahoma      0.000000  1.716739  1.780656   2.642155  0.944295  1.083449   \n",
       "Pacific       1.716739  0.000000  3.027116   0.958905  1.160017  2.412278   \n",
       "Puget         1.780656  3.027116  0.000000   3.720970  1.867235  0.700313   \n",
       "San Diego     2.642155  0.958905  3.720970   0.000000  1.920035  3.185942   \n",
       "Southern      0.944295  1.160017  1.867235   1.920035  0.000000  1.272784   \n",
       "Texas         1.083449  2.412278  0.700313   3.185942  1.272784  0.000000   \n",
       "Wisconsin     0.702684  1.276200  2.456272   2.234632  1.085774  1.756136   \n",
       "United        2.876646  1.288563  3.763066   0.440163  2.062067  3.288460   \n",
       "Virginia      1.296548  1.035028  2.069314   1.655498  0.356298  1.541576   \n",
       "\n",
       "Company       Wisconsin    United  Virginia  \n",
       "Company                                      \n",
       "Arizona        0.521491  2.761745  1.252350  \n",
       "Boston         1.654255  1.100595  1.479261  \n",
       "Central        0.838967  2.034824  0.510365  \n",
       "Commonwealth   0.243408  2.547116  1.502093  \n",
       "NY             2.661786  0.952507  2.328691  \n",
       "Florida        1.452417  2.016493  0.313847  \n",
       "Hawaiian       1.711256  0.879934  0.929414  \n",
       "Idaho          1.778813  3.720421  1.980715  \n",
       "Kentucky       0.426780  2.308613  0.929141  \n",
       "Madison        0.274061  2.685340  1.599587  \n",
       "Nevada         2.862756  3.887918  2.284803  \n",
       "New England    2.172473  0.417866  1.536436  \n",
       "Northern       0.316160  2.861293  1.623614  \n",
       "Oklahoma       0.702684  2.876646  1.296548  \n",
       "Pacific        1.276200  1.288563  1.035028  \n",
       "Puget          2.456272  3.763066  2.069314  \n",
       "San Diego      2.234632  0.440163  1.655498  \n",
       "Southern       1.085774  2.062067  0.356298  \n",
       "Texas          1.756136  3.288460  1.541576  \n",
       "Wisconsin      0.000000  2.549040  1.343306  \n",
       "United         2.549040  0.000000  1.749930  \n",
       "Virginia       1.343306  1.749930  0.000000  \n",
       "\n",
       "[22 rows x 22 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_norm = (df - df.mean())/df.std()\n",
    "d_norm = pairwise.pairwise_distances(df_norm[['Sales', 'Fuel_Cost']], metric = 'euclidean')\n",
    "pd.DataFrame(d_norm, columns = df.index, index= df.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a38b64ed-413c-4ddd-a9fc-9193490a3755",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "Z = linkage(df_norm, method = 'single') # Single Linkage method\n",
    "dendrogram(Z, labels = df_norm.index, color_threshold = 2.7)\n",
    "plt.axhline(y=2.7, color ='r', linestyle='--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "d8a310d9-c0e9-4de7-a49e-6c938e13c636",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "Z = linkage(df_norm, method = 'average') # Average Linkage method\n",
    "dendrogram(Z, labels = df_norm.index, color_threshold = 3.6)\n",
    "plt.axhline(y = 3.6, color ='r', linestyle='--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "53b665e3-c7c7-4962-9ee6-4fc87be6e568",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 : Idaho, Nevada, Puget\n",
      "2 : Hawaiian , New England, Pacific , United\n",
      "3 : San Diego\n",
      "4 : Boston , Commonwealth, Madison , Northern, Wisconsin, Virginia\n",
      "5 : Arizona , Central , Florida , Kentucky, Oklahoma, Southern, Texas\n",
      "6 : NY\n"
     ]
    }
   ],
   "source": [
    "df_norm_original = df_norm.copy()\n",
    "memb = fcluster(linkage(df_norm, method = 'average'), 6, criterion = 'maxclust')\n",
    "memb = pd.Series(memb, index = df_norm.index)\n",
    "for key, item in memb.groupby(memb):\n",
    "    print(key, ':', ', '.join(item.index))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "ba150790-4bf6-4c0e-b72d-eeaca5be1eab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_norm.index = ['{}: {}'.format(cluster, state) for cluster, state in zip(memb, df_norm.index)]\n",
    "\n",
    "sns.clustermap(df_norm, method = 'average', col_cluster = False, cmap = 'mako_r')\n",
    "df_norm = df_norm_original"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a67501ff-6df4-441a-8b36-bfe822f98b3b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 : Idaho, Nevada, Puget\n",
      "1 : Boston , NY, Hawaiian , New England, Pacific , San Diego, United\n",
      "2 : Commonwealth, Madison , Northern, Wisconsin\n",
      "3 : Central , Kentucky\n",
      "4 : Florida \n",
      "5 : Arizona , Oklahoma, Southern, Texas, Virginia\n"
     ]
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters = 6, random_state = 123).fit(df_norm)\n",
    "memb_ = pd.Series(kmeans.labels_, index = df_norm.index)\n",
    "for key, item in memb_.groupby(memb_):\n",
    "    print(key, ':', ', '.join(item.index))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e19d8b96-e491-4324-ad47-42d06908e67c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster 0 (3 members): 9.53 within cluster \n",
      "Cluster 1 (7 members): 34.16 within cluster \n",
      "Cluster 2 (4 members): 5.83 within cluster \n",
      "Cluster 3 (2 members): 3.79 within cluster \n",
      "Cluster 4 (1 members): 0.00 within cluster \n",
      "Cluster 5 (5 members): 13.92 within cluster \n"
     ]
    }
   ],
   "source": [
    "# calculate the distances of each data point to the cluster centers\n",
    "distances = kmeans.transform(df_norm)\n",
    "# find closest cluster for each data point\n",
    "minSquaredDistances = distances.min(axis=1)**2\n",
    "# combine with cluster labels into a data frame\n",
    "df = pd.DataFrame({'squaredDistance': minSquaredDistances, 'cluster': kmeans.labels_}, index = df_norm.index)\n",
    "# group by cluster and print information\n",
    "for cluster, data in df.groupby('cluster'):\n",
    "    count = len(data)\n",
    "    withinClustSS = data.squaredDistance.sum()\n",
    "    print(f'Cluster {cluster} ({count} members): {withinClustSS:.2f} within cluster ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "f596f46e-c1cb-4253-89cf-a296d6b2df9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x32ce03ce0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centroids = pd.DataFrame(kmeans.cluster_centers_, columns = df_norm.columns)\n",
    "centroids['cluster'] = ['Cluster {}'.format(i) for i in centroids.index]\n",
    "plt.figure(figsize=(10,6))\n",
    "parallel_coordinates(centroids, class_column = 'cluster', colormap = 'PiYG', linewidth = 5)\n",
    "plt.legend(loc = 'center left', bbox_to_anchor = (1, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "7ff843dc-0596-4e72-992d-a4a451c4eecc",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>4.066768</td>\n",
       "      <td>4.078732</td>\n",
       "      <td>4.279758</td>\n",
       "      <td>5.316647</td>\n",
       "      <td>3.177628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.066768</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.367905</td>\n",
       "      <td>3.608465</td>\n",
       "      <td>3.876143</td>\n",
       "      <td>2.951661</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.078732</td>\n",
       "      <td>3.367905</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.309767</td>\n",
       "      <td>3.475346</td>\n",
       "      <td>2.734740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.279758</td>\n",
       "      <td>3.608465</td>\n",
       "      <td>3.309767</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.089265</td>\n",
       "      <td>2.586880</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.316647</td>\n",
       "      <td>3.876143</td>\n",
       "      <td>3.475346</td>\n",
       "      <td>3.089265</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.903258</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3.177628</td>\n",
       "      <td>2.951661</td>\n",
       "      <td>2.734740</td>\n",
       "      <td>2.586880</td>\n",
       "      <td>2.903258</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0         1         2         3         4         5\n",
       "0  0.000000  4.066768  4.078732  4.279758  5.316647  3.177628\n",
       "1  4.066768  0.000000  3.367905  3.608465  3.876143  2.951661\n",
       "2  4.078732  3.367905  0.000000  3.309767  3.475346  2.734740\n",
       "3  4.279758  3.608465  3.309767  0.000000  3.089265  2.586880\n",
       "4  5.316647  3.876143  3.475346  3.089265  0.000000  2.903258\n",
       "5  3.177628  2.951661  2.734740  2.586880  2.903258  0.000000"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(pairwise.pairwise_distances(kmeans.cluster_centers_, metric = 'euclidean'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "73f1410f-89f3-4161-afce-bd324e4a9878",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inertia = []\n",
    "for n_clusters in range(1,7):\n",
    "    kmeans = KMeans(n_clusters = n_clusters, random_state = 123).fit(df_norm)\n",
    "    inertia.append(kmeans.inertia_/n_clusters)\n",
    "inertias = pd.DataFrame({'n_clusters': range(1,7), 'inertia': inertia})\n",
    "ax = inertias.plot(x='n_clusters', y='inertia')\n",
    "plt.xlabel('Number of Clusters (k)')\n",
    "plt.ylabel('Average within-cluster Squared Distances')\n",
    "plt.ylim(0, 1.1*inertias.inertia.max())\n",
    "ax.legend().set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "3b55364c-6463-404e-a5ee-a5513ab638c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sil = []\n",
    "kmax = 15\n",
    "for k in range(2, kmax+1):\n",
    "    kmeans = KMeans(n_clusters = k, random_state = 123).fit(df_norm)\n",
    "    labels = kmeans.labels_\n",
    "    sil.append(silhouette_score(df_norm, labels, metric = 'euclidean'))\n",
    "plt.plot(range(2,kmax+1),sil,marker='o')\n",
    "plt.xlabel('Number of clusters (k)')\n",
    "plt.ylabel('Silhouette score')\n",
    "plt.title('Silhouette Score vs Number of Clusters')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "750327fc-df71-44d7-9260-9af314b336f9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "06d96181-61cc-412e-8b39-52b24be916a4",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}