udacity/python/Unsupervised Learning/Dimensionality Reduction and PCA/PCA_Mini_Project.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA Mini Project\n",
    "\n",
    "In the lesson, you saw how you could use PCA to substantially reduce the dimensionality of the handwritten digits.  In this mini-project, you will be using the **cars.csv** file.  \n",
    "\n",
    "To begin, run the cell below to read in the necessary libraries and the dataset.  I also read in the helper functions that you used throughout the lesson in case you might find them helpful in completing this project.  Otherwise, you can always create functions of your own!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import confusion_matrix, accuracy_score\n",
    "from helper_functions import do_pca, scree_plot, plot_components, pca_results\n",
    "from IPython import display\n",
    "import test_code2 as t\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "df = pd.read_csv('./data/cars.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`1.` Now your data is stored in **df**.  Use the below cells to take a look your dataset.  At the end of your exploration, use your findings to match the appropriate variable to each key in the dictionary below.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sports</th>\n",
       "      <th>SUV</th>\n",
       "      <th>Wagon</th>\n",
       "      <th>Minivan</th>\n",
       "      <th>Pickup</th>\n",
       "      <th>AWD</th>\n",
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       "      <th>Retail</th>\n",
       "      <th>Dealer</th>\n",
       "      <th>Engine</th>\n",
       "      <th>Cylinders</th>\n",
       "      <th>Horsepower</th>\n",
       "      <th>CityMPG</th>\n",
       "      <th>HighwayMPG</th>\n",
       "      <th>Weight</th>\n",
       "      <th>Wheelbase</th>\n",
       "      <th>Length</th>\n",
       "      <th>Width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Acura 3.5 RL</th>\n",
       "      <td>0</td>\n",
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       "      <td>72</td>\n",
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       "    <tr>\n",
       "      <th>Acura 3.5 RL Navigation</th>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>3893</td>\n",
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       "      <td>197</td>\n",
       "      <td>72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Acura MDX</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
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       "      <td>4451</td>\n",
       "      <td>106</td>\n",
       "      <td>189</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Acura NSX S</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>89765</td>\n",
       "      <td>79978</td>\n",
       "      <td>3.2</td>\n",
       "      <td>6</td>\n",
       "      <td>290</td>\n",
       "      <td>17</td>\n",
       "      <td>24</td>\n",
       "      <td>3153</td>\n",
       "      <td>100</td>\n",
       "      <td>174</td>\n",
       "      <td>71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Acura RSX</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>23820</td>\n",
       "      <td>21761</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4</td>\n",
       "      <td>200</td>\n",
       "      <td>24</td>\n",
       "      <td>31</td>\n",
       "      <td>2778</td>\n",
       "      <td>101</td>\n",
       "      <td>172</td>\n",
       "      <td>68</td>\n",
       "    </tr>\n",
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       "</table>\n",
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      ],
      "text/plain": [
       "                         Sports  SUV  Wagon  Minivan  Pickup  AWD  RWD  \\\n",
       "Acura 3.5 RL                  0    0      0        0       0    0    0   \n",
       "Acura 3.5 RL Navigation       0    0      0        0       0    0    0   \n",
       "Acura MDX                     0    1      0        0       0    1    0   \n",
       "Acura NSX S                   1    0      0        0       0    0    1   \n",
       "Acura RSX                     0    0      0        0       0    0    0   \n",
       "\n",
       "                         Retail  Dealer  Engine  Cylinders  Horsepower  \\\n",
       "Acura 3.5 RL              43755   39014     3.5          6         225   \n",
       "Acura 3.5 RL Navigation   46100   41100     3.5          6         225   \n",
       "Acura MDX                 36945   33337     3.5          6         265   \n",
       "Acura NSX S               89765   79978     3.2          6         290   \n",
       "Acura RSX                 23820   21761     2.0          4         200   \n",
       "\n",
       "                         CityMPG  HighwayMPG  Weight  Wheelbase  Length  Width  \n",
       "Acura 3.5 RL                  18          24    3880        115     197     72  \n",
       "Acura 3.5 RL Navigation       18          24    3893        115     197     72  \n",
       "Acura MDX                     17          23    4451        106     189     77  \n",
       "Acura NSX S                   17          24    3153        100     174     71  \n",
       "Acura RSX                     24          31    2778        101     172     68  "
      ]
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     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sports</th>\n",
       "      <th>SUV</th>\n",
       "      <th>Wagon</th>\n",
       "      <th>Minivan</th>\n",
       "      <th>Pickup</th>\n",
       "      <th>AWD</th>\n",
       "      <th>RWD</th>\n",
       "      <th>Retail</th>\n",
       "      <th>Dealer</th>\n",
       "      <th>Engine</th>\n",
       "      <th>Cylinders</th>\n",
       "      <th>Horsepower</th>\n",
       "      <th>CityMPG</th>\n",
       "      <th>HighwayMPG</th>\n",
       "      <th>Weight</th>\n",
       "      <th>Wheelbase</th>\n",
       "      <th>Length</th>\n",
       "      <th>Width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.0</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
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       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "      <td>387.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.116279</td>\n",
       "      <td>0.152455</td>\n",
       "      <td>0.072351</td>\n",
       "      <td>0.054264</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.201550</td>\n",
       "      <td>0.242894</td>\n",
       "      <td>33231.180879</td>\n",
       "      <td>30440.653747</td>\n",
       "      <td>3.127390</td>\n",
       "      <td>5.757106</td>\n",
       "      <td>214.444444</td>\n",
       "      <td>20.312661</td>\n",
       "      <td>27.263566</td>\n",
       "      <td>3532.457364</td>\n",
       "      <td>107.211886</td>\n",
       "      <td>184.961240</td>\n",
       "      <td>71.276486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.320974</td>\n",
       "      <td>0.359926</td>\n",
       "      <td>0.259404</td>\n",
       "      <td>0.226830</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.401677</td>\n",
       "      <td>0.429387</td>\n",
       "      <td>19724.634576</td>\n",
       "      <td>17901.179282</td>\n",
       "      <td>1.014314</td>\n",
       "      <td>1.490182</td>\n",
       "      <td>70.262822</td>\n",
       "      <td>5.262333</td>\n",
       "      <td>5.636005</td>\n",
       "      <td>706.003622</td>\n",
       "      <td>7.086553</td>\n",
       "      <td>13.237999</td>\n",
       "      <td>3.368329</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>10280.000000</td>\n",
       "      <td>9875.000000</td>\n",
       "      <td>1.400000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>73.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>1850.000000</td>\n",
       "      <td>89.000000</td>\n",
       "      <td>143.000000</td>\n",
       "      <td>64.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>20997.000000</td>\n",
       "      <td>19575.000000</td>\n",
       "      <td>2.300000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>165.000000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>3107.000000</td>\n",
       "      <td>103.000000</td>\n",
       "      <td>177.000000</td>\n",
       "      <td>69.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>28495.000000</td>\n",
       "      <td>26155.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>210.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>27.000000</td>\n",
       "      <td>3469.000000</td>\n",
       "      <td>107.000000</td>\n",
       "      <td>186.000000</td>\n",
       "      <td>71.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>39552.500000</td>\n",
       "      <td>36124.000000</td>\n",
       "      <td>3.800000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>250.000000</td>\n",
       "      <td>21.500000</td>\n",
       "      <td>30.000000</td>\n",
       "      <td>3922.000000</td>\n",
       "      <td>112.000000</td>\n",
       "      <td>193.000000</td>\n",
       "      <td>73.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>192465.000000</td>\n",
       "      <td>173560.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>493.000000</td>\n",
       "      <td>60.000000</td>\n",
       "      <td>66.000000</td>\n",
       "      <td>6400.000000</td>\n",
       "      <td>130.000000</td>\n",
       "      <td>221.000000</td>\n",
       "      <td>81.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "           Sports         SUV       Wagon     Minivan  Pickup         AWD  \\\n",
       "count  387.000000  387.000000  387.000000  387.000000   387.0  387.000000   \n",
       "mean     0.116279    0.152455    0.072351    0.054264     0.0    0.201550   \n",
       "std      0.320974    0.359926    0.259404    0.226830     0.0    0.401677   \n",
       "min      0.000000    0.000000    0.000000    0.000000     0.0    0.000000   \n",
       "25%      0.000000    0.000000    0.000000    0.000000     0.0    0.000000   \n",
       "50%      0.000000    0.000000    0.000000    0.000000     0.0    0.000000   \n",
       "75%      0.000000    0.000000    0.000000    0.000000     0.0    0.000000   \n",
       "max      1.000000    1.000000    1.000000    1.000000     0.0    1.000000   \n",
       "\n",
       "              RWD         Retail         Dealer      Engine   Cylinders  \\\n",
       "count  387.000000     387.000000     387.000000  387.000000  387.000000   \n",
       "mean     0.242894   33231.180879   30440.653747    3.127390    5.757106   \n",
       "std      0.429387   19724.634576   17901.179282    1.014314    1.490182   \n",
       "min      0.000000   10280.000000    9875.000000    1.400000    3.000000   \n",
       "25%      0.000000   20997.000000   19575.000000    2.300000    4.000000   \n",
       "50%      0.000000   28495.000000   26155.000000    3.000000    6.000000   \n",
       "75%      0.000000   39552.500000   36124.000000    3.800000    6.000000   \n",
       "max      1.000000  192465.000000  173560.000000    6.000000   12.000000   \n",
       "\n",
       "       Horsepower     CityMPG  HighwayMPG       Weight   Wheelbase  \\\n",
       "count  387.000000  387.000000  387.000000   387.000000  387.000000   \n",
       "mean   214.444444   20.312661   27.263566  3532.457364  107.211886   \n",
       "std     70.262822    5.262333    5.636005   706.003622    7.086553   \n",
       "min     73.000000   10.000000   12.000000  1850.000000   89.000000   \n",
       "25%    165.000000   18.000000   24.000000  3107.000000  103.000000   \n",
       "50%    210.000000   19.000000   27.000000  3469.000000  107.000000   \n",
       "75%    250.000000   21.500000   30.000000  3922.000000  112.000000   \n",
       "max    493.000000   60.000000   66.000000  6400.000000  130.000000   \n",
       "\n",
       "           Length       Width  \n",
       "count  387.000000  387.000000  \n",
       "mean   184.961240   71.276486  \n",
       "std     13.237999    3.368329  \n",
       "min    143.000000   64.000000  \n",
       "25%    177.000000   69.000000  \n",
       "50%    186.000000   71.000000  \n",
       "75%    193.000000   73.000000  \n",
       "max    221.000000   81.000000  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(387, 18)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.054263565891472867"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Minivan'].sum()/387"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 7\n",
    "b = 66\n",
    "c = 387\n",
    "d = 18\n",
    "e = 0.23\n",
    "f = 0.05\n",
    "\n",
    "solution_1_dict = {\n",
    "    'The number of cars in the dataset': c,\n",
    "    'The number of car features in the dataset': d,\n",
    "    'The number of dummy variables in the dataset': a,\n",
    "    'The proportion of minivans in the dataset': f,\n",
    "    'The max highway mpg for any car': b\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nice job!  Looks like your dataset matches what we found!\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"https://bit.ly/2K9X0gD\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Check your solution against ours by running this cell\n",
    "display.HTML(t.check_question_one(solution_1_dict))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`2.` There are some particularly nice properties about PCA to keep in mind.  Use the dictionary below to match the correct variable as the key to each statement.  When you are ready, check your solution against ours by running the following cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = True\n",
    "b = False\n",
    "\n",
    "solution_2_dict = {\n",
    "    'The components span the directions of maximum variability.': a,\n",
    "    'The components are always orthogonal to one another.': a,\n",
    "    'Eigenvalues tell us the amount of information a component holds': a\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "That's right these are all true.  Principal components are orthogonal, span the directions of maximum variability, and the corresponding eigenvalues tell us how much of the original variability is explained by each component.\n"
     ]
    }
   ],
   "source": [
    "# Check your solution against ours by running this cell\n",
    "t.check_question_two(solution_2_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`3.` Fit PCA to reduce the current dimensionality of the datset to 3 dimensions.  You can use the helper functions, or perform the steps on your own.  If you fit on your own, be sure to standardize your data.  At the end of this process, you will want an X matrix with the reduced dimensionality to only 3 features.  Additionally, you will want your **pca** object back that has been used to fit and transform your dataset. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Scale your data, fit, and transform using pca\n",
    "pca, X_pca = do_pca(3, df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`4.` Once you have your pca object, you can take a closer look at what comprises each of the principal components.  Use the **pca_results** function from the **helper_functions** module assist with taking a closer look at the results of your analysis.  The function takes two arguments: the full dataset and the pca object you created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "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>Explained Variance</th>\n",
       "      <th>Sports</th>\n",
       "      <th>SUV</th>\n",
       "      <th>Wagon</th>\n",
       "      <th>Minivan</th>\n",
       "      <th>Pickup</th>\n",
       "      <th>AWD</th>\n",
       "      <th>RWD</th>\n",
       "      <th>Retail</th>\n",
       "      <th>Dealer</th>\n",
       "      <th>Engine</th>\n",
       "      <th>Cylinders</th>\n",
       "      <th>Horsepower</th>\n",
       "      <th>CityMPG</th>\n",
       "      <th>HighwayMPG</th>\n",
       "      <th>Weight</th>\n",
       "      <th>Wheelbase</th>\n",
       "      <th>Length</th>\n",
       "      <th>Width</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Dimension 1</th>\n",
       "      <td>0.4352</td>\n",
       "      <td>-0.0343</td>\n",
       "      <td>-0.1298</td>\n",
       "      <td>0.0289</td>\n",
       "      <td>-0.0481</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.0928</td>\n",
       "      <td>-0.1175</td>\n",
       "      <td>-0.2592</td>\n",
       "      <td>-0.2576</td>\n",
       "      <td>-0.3396</td>\n",
       "      <td>-0.3263</td>\n",
       "      <td>-0.3118</td>\n",
       "      <td>0.3063</td>\n",
       "      <td>0.3061</td>\n",
       "      <td>-0.3317</td>\n",
       "      <td>-0.2546</td>\n",
       "      <td>-0.2414</td>\n",
       "      <td>-0.2886</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dimension 2</th>\n",
       "      <td>0.1667</td>\n",
       "      <td>0.4420</td>\n",
       "      <td>-0.2261</td>\n",
       "      <td>-0.0106</td>\n",
       "      <td>-0.2074</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>-0.1447</td>\n",
       "      <td>0.3751</td>\n",
       "      <td>0.3447</td>\n",
       "      <td>0.3453</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0799</td>\n",
       "      <td>0.2342</td>\n",
       "      <td>0.0169</td>\n",
       "      <td>0.0433</td>\n",
       "      <td>-0.1832</td>\n",
       "      <td>-0.3066</td>\n",
       "      <td>-0.2701</td>\n",
       "      <td>-0.2163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dimension 3</th>\n",
       "      <td>0.1034</td>\n",
       "      <td>0.0875</td>\n",
       "      <td>0.4898</td>\n",
       "      <td>0.0496</td>\n",
       "      <td>-0.2818</td>\n",
       "      <td>-0.0</td>\n",
       "      <td>0.5506</td>\n",
       "      <td>-0.2416</td>\n",
       "      <td>0.0154</td>\n",
       "      <td>0.0132</td>\n",
       "      <td>-0.0489</td>\n",
       "      <td>-0.0648</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>-0.1421</td>\n",
       "      <td>-0.2486</td>\n",
       "      <td>0.0851</td>\n",
       "      <td>-0.2846</td>\n",
       "      <td>-0.3361</td>\n",
       "      <td>-0.1369</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Explained Variance  Sports     SUV   Wagon  Minivan  Pickup  \\\n",
       "Dimension 1              0.4352 -0.0343 -0.1298  0.0289  -0.0481    -0.0   \n",
       "Dimension 2              0.1667  0.4420 -0.2261 -0.0106  -0.2074    -0.0   \n",
       "Dimension 3              0.1034  0.0875  0.4898  0.0496  -0.2818    -0.0   \n",
       "\n",
       "                AWD     RWD  Retail  Dealer  Engine  Cylinders  Horsepower  \\\n",
       "Dimension 1 -0.0928 -0.1175 -0.2592 -0.2576 -0.3396    -0.3263     -0.3118   \n",
       "Dimension 2 -0.1447  0.3751  0.3447  0.3453  0.0022     0.0799      0.2342   \n",
       "Dimension 3  0.5506 -0.2416  0.0154  0.0132 -0.0489    -0.0648      0.0040   \n",
       "\n",
       "             CityMPG  HighwayMPG  Weight  Wheelbase  Length   Width  \n",
       "Dimension 1   0.3063      0.3061 -0.3317    -0.2546 -0.2414 -0.2886  \n",
       "Dimension 2   0.0169      0.0433 -0.1832    -0.3066 -0.2701 -0.2163  \n",
       "Dimension 3  -0.1421     -0.2486  0.0851    -0.2846 -0.3361 -0.1369  "
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9752e35c50>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca_results?\n",
    "pca_results(df, pca)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`5.` Use the results, to match each of the variables as the value to the most appropriate key in the dictionary below.  When you are ready to check your answers, run the following cell to see if your solution matches ours!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 'car weight'\n",
    "b = 'sports cars'\n",
    "c = 'gas mileage'\n",
    "d = 0.4352\n",
    "e = 0.3061\n",
    "f = 0.1667\n",
    "g = 0.7053\n",
    "\n",
    "solution_5_dict = {\n",
    "    'The first component positively weights items related to': c, \n",
    "    'The amount of variability explained by the first component is': d,\n",
    "    'The largest weight of the second component is related to': b,\n",
    "    'The total amount of variability explained by the first three components': g\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "That's right!  Looks like you know a lot about PCA!\n"
     ]
    }
   ],
   "source": [
    "# Run this cell to check if your solution matches ours.\n",
    "t.check_question_five(solution_5_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`6.` How many components need to be kept to explain at least 85% of the variability in the original dataset?  When you think you have the answer, store it in the variable `num_comps`.  Then run the following cell to see if your solution matches ours!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4352 1\n",
      "0.6019 2\n",
      "0.7053 3\n",
      "0.7684000000000001 4\n",
      "0.8240000000000001 5\n",
      "0.8682000000000001 6\n",
      "0.8971000000000001 7\n",
      "0.9248999999999999 8\n",
      "0.9498 9\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9752f99358>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9751fcc6d8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f975230bdd8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f975230b588>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9752481630>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9752481860>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97533f2828>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97533825f8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97528ed390>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(1, 10):\n",
    "    pca, X_pca = do_pca(i, df)\n",
    "    pca_df = pca_results(df, pca)\n",
    "    print(f\"{pca_df['Explained Variance'].sum()} {i}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Code to find number of components providing more than \n",
    "# 85% of variance explained\n",
    "\n",
    "num_comps = 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nice job!  That's right!  With 6 components, you can explain more than 85% of the variability in the original dataset.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"https://bit.ly/2cKTiso\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now check your answer here to complete this mini project!\n",
    "display.HTML(t.question_check_six(num_comps))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}