all repos — covid-data-analysis @ 7786da34363ed059d244da91250241153f9a5a04

data-analysis.ipynb (view raw)

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   7   "source": [
   8    "# Data Analysis Project: Eligibility Prediction for Loan\n",
   9    "* Author: Marco Andronaco\n",
  10    "* Subject: Statistical Laboratory\n",
  11    "* Teacher: Alessandro Ortis - University of Catania"
  12   ]
  13  },
  14  {
  15   "cell_type": "markdown",
  16   "id": "8986d33e-a7a7-4949-9bdd-e84b6dc116ce",
  17   "metadata": {},
  18   "source": [
  19    "## Step 0: libraries, functions and constants\n",
  20    "First of all, let's install the single required library for this analysis.\n",
  21    "\n",
  22    "The `require()` function returns `FALSE` if the requested library is not installed, so we can install it only when necessary."
  23   ]
  24  },
  25  {
  26   "cell_type": "code",
  27   "execution_count": 1,
  28   "id": "44f9162f-0970-4fcd-b8fe-d2216086c1f8",
  29   "metadata": {
  30    "vscode": {
  31     "languageId": "r"
  32    }
  33   },
  34   "outputs": [
  35    {
  36     "name": "stderr",
  37     "output_type": "stream",
  38     "text": [
  39      "Caricamento del pacchetto richiesto: corrplot\n",
  40      "\n",
  41      "corrplot 0.92 loaded\n",
  42      "\n"
  43     ]
  44    }
  45   ],
  46   "source": [
  47    "if (!require(\"corrplot\")) install.packages(\"corrplot\")\n",
  48    "library(\"corrplot\")"
  49   ]
  50  },
  51  {
  52   "cell_type": "markdown",
  53   "id": "d657f996-34ce-4a29-97dd-7f8ddd88ffe9",
  54   "metadata": {},
  55   "source": [
  56    "To get a consistent feel for my analysis, I decided to use the [Open Color 1.9.1](https://yeun.github.io/open-color/) palette."
  57   ]
  58  },
  59  {
  60   "cell_type": "code",
  61   "execution_count": 2,
  62   "id": "cbfaf13b-f2c9-41ef-b10d-6176f82ef837",
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  68   "outputs": [],
  69   "source": [
  70    "col.gray = \"#adb5bd\"\n",
  71    "col.red = \"#ff6b6b\"\n",
  72    "col.pink = \"#f06595\"\n",
  73    "col.grape = \"#cc5de8\"\n",
  74    "col.violet = \"#845ef7\"\n",
  75    "col.indigo = \"#5c7cfa\"\n",
  76    "col.blue = \"#339af0\"\n",
  77    "col.cyan = \"#22b8cf\"\n",
  78    "col.teal = \"#20c997\"\n",
  79    "col.green = \"#51cf66\"\n",
  80    "col.lime = \"#94d82d\"\n",
  81    "col.yellow = \"#fcc419\"\n",
  82    "col.orange = \"#ff922b\""
  83   ]
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  85  {
  86   "cell_type": "code",
  87   "execution_count": 3,
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  94   "outputs": [],
  95   "source": [
  96    "pie_chart = function(x, col=1:length(x), legend=names(x), main=\"Pie Chart\"){\n",
  97    "    piepercent = paste(round(100*x/sum(x), 2), '%', sep=\"\")\n",
  98    "    \n",
  99    "    pie(x, labels=piepercent, col=col, main=main)\n",
 100    "    legend(\"topright\", legend, fill=col)\n",
 101    "}"
 102   ]
 103  },
 104  {
 105   "cell_type": "markdown",
 106   "id": "674984b8-405b-4812-b82c-1a4cf072fc83",
 107   "metadata": {},
 108   "source": [
 109    "## Step 1: loading and cleaning our data\n",
 110    "The dataset comes from [Kaggle](https://www.kaggle.com/datasets/meirnizri/covid19-dataset). Here's the provided description:\n",
 111    "\n",
 112    ">Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. Most people infected with COVID-19 virus will experience mild to moderate respiratory illness and recover without requiring special treatment. Older people, and those with underlying medical problems like cardiovascular disease, diabetes, chronic respiratory disease, and cancer are more likely to develop serious illness.\n",
 113    "During the entire course of the pandemic, one of the main problems that healthcare providers have faced is the shortage of medical resources and a proper plan to efficiently distribute them. In these tough times, being able to predict what kind of resource an individual might require at the time of being tested positive or even before that will be of immense help to the authorities as they would be able to procure and arrange for the resources necessary to save the life of that patient.\n",
 114    "\n",
 115    ">The main goal of this project is to build a machine learning model that, given a Covid-19 patient's current symptom, status, and medical history, will predict whether the patient is in high risk or not.\n",
 116    "\n",
 117    ">The dataset was provided by the [Mexican government](https://datos.gob.mx/busca/dataset/informacion-referente-a-casos-covid-19-en-mexico). This dataset contains an enormous number of anonymized patient-related information including pre-conditions. The raw dataset consists of 21 unique features and 1,048,576 unique patients. In the Boolean features, 1 means \"yes\" and 2 means \"no\". values as 97 and 99 are missing data.\n",
 118    "\n",
 119    "| Variable | Description |\n",
 120    "|:---|:-------------|\n",
 121    "| sex | female or male |\n",
 122    "| age | age of the patient |\n",
 123    "| classification | covid test findings |\n",
 124    "| patient type | hospitalized or not hospitalized |\n",
 125    "| pneumonia | whether the patient already have air sacs inflammation or not |\n",
 126    "| pregnancy | whether the patient is pregnant or not |\n",
 127    "| diabetes | whether the patient has diabetes or not |\n",
 128    "| copd | Indicates whether the patient has Chronic obstructive pulmonary disease or not |\n",
 129    "| asthma | whether the patient has asthma or not |\n",
 130    "| inmsupr | whether the patient is immunosuppressed or not |\n",
 131    "| hypertension | whether the patient has hypertension or not |\n",
 132    "| cardiovascular | whether the patient has heart or blood vessels related disease |\n",
 133    "| renal chronic | whether the patient has chronic renal disease or not |\n",
 134    "| other disease | whether the patient has other disease or not |\n",
 135    "| obesity | whether the patient is obese or not |\n",
 136    "| tobacco | whether the patient is a tobacco user |\n",
 137    "| usmr | Indicates whether the patient treated medical units of the first, second or third level |\n",
 138    "| medical unit | type of institution of the National Health System that provided the care |\n",
 139    "| intubed | whether the patient was connected to the ventilator |\n",
 140    "| icu | Indicates whether the patient had been admitted to an Intensive Care Unit |\n",
 141    "| death | indicates whether the patient died or recovered |\n",
 142    "\n",
 143    "Finally, the following's stated regarding the `classification` variable:\n",
 144    "> Values 1-3 mean that the patient was diagnosed with covid in different degrees. 4 or higher means that the patient is not a carrier of covid or that the test is inconclusive.\n",
 145    "\n",
 146    "Let's start by loading the actual data. Watch out, the `COPD` column will be hidden whenever we show our data."
 147   ]
 148  },
 149  {
 150   "cell_type": "code",
 151   "execution_count": 4,
 152   "id": "c411b08a-9718-45d7-9f81-341ad4033630",
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 155     "languageId": "r"
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 157   },
 158   "outputs": [
 159    {
 160     "name": "stdout",
 161     "output_type": "stream",
 162     "text": [
 163      "[1] \"1048575 rows loaded.\"\n"
 164     ]
 165    },
 166    {
 167     "data": {
 168      "text/html": [
 169       "<style>\n",
 170       ".list-inline {list-style: none; margin:0; padding: 0}\n",
 171       ".list-inline>li {display: inline-block}\n",
 172       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
 173       "</style>\n",
 174       "<ol class=list-inline><li>'USMER'</li><li>'MEDICAL_UNIT'</li><li>'SEX'</li><li>'PATIENT_TYPE'</li><li>'DATE_DIED'</li><li>'INTUBED'</li><li>'PNEUMONIA'</li><li>'AGE'</li><li>'PREGNANT'</li><li>'DIABETES'</li><li>'COPD'</li><li>'ASTHMA'</li><li>'INMSUPR'</li><li>'HIPERTENSION'</li><li>'OTHER_DISEASE'</li><li>'CARDIOVASCULAR'</li><li>'OBESITY'</li><li>'RENAL_CHRONIC'</li><li>'TOBACCO'</li><li>'CLASIFFICATION_FINAL'</li><li>'ICU'</li></ol>\n"
 175      ],
 176      "text/latex": [
 177       "\\begin{enumerate*}\n",
 178       "\\item 'USMER'\n",
 179       "\\item 'MEDICAL\\_UNIT'\n",
 180       "\\item 'SEX'\n",
 181       "\\item 'PATIENT\\_TYPE'\n",
 182       "\\item 'DATE\\_DIED'\n",
 183       "\\item 'INTUBED'\n",
 184       "\\item 'PNEUMONIA'\n",
 185       "\\item 'AGE'\n",
 186       "\\item 'PREGNANT'\n",
 187       "\\item 'DIABETES'\n",
 188       "\\item 'COPD'\n",
 189       "\\item 'ASTHMA'\n",
 190       "\\item 'INMSUPR'\n",
 191       "\\item 'HIPERTENSION'\n",
 192       "\\item 'OTHER\\_DISEASE'\n",
 193       "\\item 'CARDIOVASCULAR'\n",
 194       "\\item 'OBESITY'\n",
 195       "\\item 'RENAL\\_CHRONIC'\n",
 196       "\\item 'TOBACCO'\n",
 197       "\\item 'CLASIFFICATION\\_FINAL'\n",
 198       "\\item 'ICU'\n",
 199       "\\end{enumerate*}\n"
 200      ],
 201      "text/markdown": [
 202       "1. 'USMER'\n",
 203       "2. 'MEDICAL_UNIT'\n",
 204       "3. 'SEX'\n",
 205       "4. 'PATIENT_TYPE'\n",
 206       "5. 'DATE_DIED'\n",
 207       "6. 'INTUBED'\n",
 208       "7. 'PNEUMONIA'\n",
 209       "8. 'AGE'\n",
 210       "9. 'PREGNANT'\n",
 211       "10. 'DIABETES'\n",
 212       "11. 'COPD'\n",
 213       "12. 'ASTHMA'\n",
 214       "13. 'INMSUPR'\n",
 215       "14. 'HIPERTENSION'\n",
 216       "15. 'OTHER_DISEASE'\n",
 217       "16. 'CARDIOVASCULAR'\n",
 218       "17. 'OBESITY'\n",
 219       "18. 'RENAL_CHRONIC'\n",
 220       "19. 'TOBACCO'\n",
 221       "20. 'CLASIFFICATION_FINAL'\n",
 222       "21. 'ICU'\n",
 223       "\n",
 224       "\n"
 225      ],
 226      "text/plain": [
 227       " [1] \"USMER\"                \"MEDICAL_UNIT\"         \"SEX\"                 \n",
 228       " [4] \"PATIENT_TYPE\"         \"DATE_DIED\"            \"INTUBED\"             \n",
 229       " [7] \"PNEUMONIA\"            \"AGE\"                  \"PREGNANT\"            \n",
 230       "[10] \"DIABETES\"             \"COPD\"                 \"ASTHMA\"              \n",
 231       "[13] \"INMSUPR\"              \"HIPERTENSION\"         \"OTHER_DISEASE\"       \n",
 232       "[16] \"CARDIOVASCULAR\"       \"OBESITY\"              \"RENAL_CHRONIC\"       \n",
 233       "[19] \"TOBACCO\"              \"CLASIFFICATION_FINAL\" \"ICU\"                 "
 234      ]
 235     },
 236     "metadata": {},
 237     "output_type": "display_data"
 238    },
 239    {
 240     "data": {
 241      "text/html": [
 242       "<table class=\"dataframe\">\n",
 243       "<caption>A data.frame: 6 × 21</caption>\n",
 244       "<thead>\n",
 245       "\t<tr><th></th><th scope=col>USMER</th><th scope=col>MEDICAL_UNIT</th><th scope=col>SEX</th><th scope=col>PATIENT_TYPE</th><th scope=col>DATE_DIED</th><th scope=col>INTUBED</th><th scope=col>PNEUMONIA</th><th scope=col>AGE</th><th scope=col>PREGNANT</th><th scope=col>DIABETES</th><th scope=col>⋯</th><th scope=col>ASTHMA</th><th scope=col>INMSUPR</th><th scope=col>HIPERTENSION</th><th scope=col>OTHER_DISEASE</th><th scope=col>CARDIOVASCULAR</th><th scope=col>OBESITY</th><th scope=col>RENAL_CHRONIC</th><th scope=col>TOBACCO</th><th scope=col>CLASIFFICATION_FINAL</th><th scope=col>ICU</th></tr>\n",
 246       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>⋯</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
 247       "</thead>\n",
 248       "<tbody>\n",
 249       "\t<tr><th scope=row>1</th><td>2</td><td>1</td><td>1</td><td>1</td><td>03/05/2020</td><td>97</td><td>1</td><td>65</td><td> 2</td><td>2</td><td>⋯</td><td>2</td><td>2</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>3</td><td>97</td></tr>\n",
 250       "\t<tr><th scope=row>2</th><td>2</td><td>1</td><td>2</td><td>1</td><td>03/06/2020</td><td>97</td><td>1</td><td>72</td><td>97</td><td>2</td><td>⋯</td><td>2</td><td>2</td><td>1</td><td>2</td><td>2</td><td>1</td><td>1</td><td>2</td><td>5</td><td>97</td></tr>\n",
 251       "\t<tr><th scope=row>3</th><td>2</td><td>1</td><td>2</td><td>2</td><td>09/06/2020</td><td> 1</td><td>2</td><td>55</td><td>97</td><td>1</td><td>⋯</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>3</td><td> 2</td></tr>\n",
 252       "\t<tr><th scope=row>4</th><td>2</td><td>1</td><td>1</td><td>1</td><td>12/06/2020</td><td>97</td><td>2</td><td>53</td><td> 2</td><td>2</td><td>⋯</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>7</td><td>97</td></tr>\n",
 253       "\t<tr><th scope=row>5</th><td>2</td><td>1</td><td>2</td><td>1</td><td>21/06/2020</td><td>97</td><td>2</td><td>68</td><td>97</td><td>1</td><td>⋯</td><td>2</td><td>2</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>3</td><td>97</td></tr>\n",
 254       "\t<tr><th scope=row>6</th><td>2</td><td>1</td><td>1</td><td>2</td><td>9999-99-99</td><td> 2</td><td>1</td><td>40</td><td> 2</td><td>2</td><td>⋯</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>3</td><td> 2</td></tr>\n",
 255       "</tbody>\n",
 256       "</table>\n"
 257      ],
 258      "text/latex": [
 259       "A data.frame: 6 × 21\n",
 260       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
 261       "  & USMER & MEDICAL\\_UNIT & SEX & PATIENT\\_TYPE & DATE\\_DIED & INTUBED & PNEUMONIA & AGE & PREGNANT & DIABETES & ⋯ & ASTHMA & INMSUPR & HIPERTENSION & OTHER\\_DISEASE & CARDIOVASCULAR & OBESITY & RENAL\\_CHRONIC & TOBACCO & CLASIFFICATION\\_FINAL & ICU\\\\\n",
 262       "  & <int> & <int> & <int> & <int> & <chr> & <int> & <int> & <int> & <int> & <int> & ⋯ & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int> & <int>\\\\\n",
 263       "\\hline\n",
 264       "\t1 & 2 & 1 & 1 & 1 & 03/05/2020 & 97 & 1 & 65 &  2 & 2 & ⋯ & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 2 & 3 & 97\\\\\n",
 265       "\t2 & 2 & 1 & 2 & 1 & 03/06/2020 & 97 & 1 & 72 & 97 & 2 & ⋯ & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 5 & 97\\\\\n",
 266       "\t3 & 2 & 1 & 2 & 2 & 09/06/2020 &  1 & 2 & 55 & 97 & 1 & ⋯ & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 3 &  2\\\\\n",
 267       "\t4 & 2 & 1 & 1 & 1 & 12/06/2020 & 97 & 2 & 53 &  2 & 2 & ⋯ & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 7 & 97\\\\\n",
 268       "\t5 & 2 & 1 & 2 & 1 & 21/06/2020 & 97 & 2 & 68 & 97 & 1 & ⋯ & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 2 & 3 & 97\\\\\n",
 269       "\t6 & 2 & 1 & 1 & 2 & 9999-99-99 &  2 & 1 & 40 &  2 & 2 & ⋯ & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 3 &  2\\\\\n",
 270       "\\end{tabular}\n"
 271      ],
 272      "text/markdown": [
 273       "\n",
 274       "A data.frame: 6 × 21\n",
 275       "\n",
 276       "| <!--/--> | USMER &lt;int&gt; | MEDICAL_UNIT &lt;int&gt; | SEX &lt;int&gt; | PATIENT_TYPE &lt;int&gt; | DATE_DIED &lt;chr&gt; | INTUBED &lt;int&gt; | PNEUMONIA &lt;int&gt; | AGE &lt;int&gt; | PREGNANT &lt;int&gt; | DIABETES &lt;int&gt; | ⋯ ⋯ | ASTHMA &lt;int&gt; | INMSUPR &lt;int&gt; | HIPERTENSION &lt;int&gt; | OTHER_DISEASE &lt;int&gt; | CARDIOVASCULAR &lt;int&gt; | OBESITY &lt;int&gt; | RENAL_CHRONIC &lt;int&gt; | TOBACCO &lt;int&gt; | CLASIFFICATION_FINAL &lt;int&gt; | ICU &lt;int&gt; |\n",
 277       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
 278       "| 1 | 2 | 1 | 1 | 1 | 03/05/2020 | 97 | 1 | 65 |  2 | 2 | ⋯ | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 3 | 97 |\n",
 279       "| 2 | 2 | 1 | 2 | 1 | 03/06/2020 | 97 | 1 | 72 | 97 | 2 | ⋯ | 2 | 2 | 1 | 2 | 2 | 1 | 1 | 2 | 5 | 97 |\n",
 280       "| 3 | 2 | 1 | 2 | 2 | 09/06/2020 |  1 | 2 | 55 | 97 | 1 | ⋯ | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 3 |  2 |\n",
 281       "| 4 | 2 | 1 | 1 | 1 | 12/06/2020 | 97 | 2 | 53 |  2 | 2 | ⋯ | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 7 | 97 |\n",
 282       "| 5 | 2 | 1 | 2 | 1 | 21/06/2020 | 97 | 2 | 68 | 97 | 1 | ⋯ | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 3 | 97 |\n",
 283       "| 6 | 2 | 1 | 1 | 2 | 9999-99-99 |  2 | 1 | 40 |  2 | 2 | ⋯ | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 3 |  2 |\n",
 284       "\n"
 285      ],
 286      "text/plain": [
 287       "  USMER MEDICAL_UNIT SEX PATIENT_TYPE DATE_DIED  INTUBED PNEUMONIA AGE PREGNANT\n",
 288       "1 2     1            1   1            03/05/2020 97      1         65   2      \n",
 289       "2 2     1            2   1            03/06/2020 97      1         72  97      \n",
 290       "3 2     1            2   2            09/06/2020  1      2         55  97      \n",
 291       "4 2     1            1   1            12/06/2020 97      2         53   2      \n",
 292       "5 2     1            2   1            21/06/2020 97      2         68  97      \n",
 293       "6 2     1            1   2            9999-99-99  2      1         40   2      \n",
 294       "  DIABETES ⋯ ASTHMA INMSUPR HIPERTENSION OTHER_DISEASE CARDIOVASCULAR OBESITY\n",
 295       "1 2        ⋯ 2      2       1            2             2              2      \n",
 296       "2 2        ⋯ 2      2       1            2             2              1      \n",
 297       "3 1        ⋯ 2      2       2            2             2              2      \n",
 298       "4 2        ⋯ 2      2       2            2             2              2      \n",
 299       "5 1        ⋯ 2      2       1            2             2              2      \n",
 300       "6 2        ⋯ 2      2       2            2             2              2      \n",
 301       "  RENAL_CHRONIC TOBACCO CLASIFFICATION_FINAL ICU\n",
 302       "1 2             2       3                    97 \n",
 303       "2 1             2       5                    97 \n",
 304       "3 2             2       3                     2 \n",
 305       "4 2             2       7                    97 \n",
 306       "5 2             2       3                    97 \n",
 307       "6 2             2       3                     2 "
 308      ]
 309     },
 310     "metadata": {},
 311     "output_type": "display_data"
 312    }
 313   ],
 314   "source": [
 315    "df = read.csv(\"Covid Data.csv\")\n",
 316    "\n",
 317    "row.n1 = nrow(df)\n",
 318    "print(paste(row.n1, \"rows loaded.\"))\n",
 319    "names(df)\n",
 320    "head(df)"
 321   ]
 322  },
 323  {
 324   "cell_type": "markdown",
 325   "id": "b78530e5-b7dd-42de-b231-b4e6a7f461fc",
 326   "metadata": {},
 327   "source": [
 328    "First of all, we want to focus our analysis on the patients that have tested positive for COVID, so we can just remove all rows which have values $\\geq 5$ on the `CLASIFFICATION_FINAL` column."
 329   ]
 330  },
 331  {
 332   "cell_type": "code",
 333   "execution_count": 5,
 334   "id": "91c0c515-4bde-4ee3-8af2-3bd7951bf3ff",
 335   "metadata": {
 336    "vscode": {
 337     "languageId": "r"
 338    }
 339   },
 340   "outputs": [],
 341   "source": [
 342    "df = df[df$CLASIFFICATION_FINAL < 4,] # 4 or higher means that the patient is not a carrier of covid or that the test is inconclusive."
 343   ]
 344  },
 345  {
 346   "cell_type": "markdown",
 347   "id": "91db9369-aa58-4593-b4c8-3761cf69cbf9",
 348   "metadata": {},
 349   "source": [
 350    "Also, the short introduction told us that numbers like 97, 98 and 99 are supposed to be missing values.\n",
 351    "\n",
 352    "While this holds true for some columns, like `TOBACCO`:"
 353   ]
 354  },
 355  {
 356   "cell_type": "code",
 357   "execution_count": 6,
 358   "id": "1372eb11-42c4-4474-9833-ef6c6c71ac72",
 359   "metadata": {
 360    "vscode": {
 361     "languageId": "r"
 362    }
 363   },
 364   "outputs": [
 365    {
 366     "data": {
 367      "image/png": 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",
 368      "text/plain": [
 369       "Plot with title “Tobacco Usage Distribution”"
 370      ]
 371     },
 372     "metadata": {
 373      "image/png": {
 374       "height": 420,
 375       "width": 420
 376      }
 377     },
 378     "output_type": "display_data"
 379    }
 380   ],
 381   "source": [
 382    "pie_chart(table(df$TOBACCO),\n",
 383    "          col=c(col.orange, col.green, col.yellow),\n",
 384    "          legend=c(\"Smokes\", \"Doesn't smoke\", \"Unknown\"),\n",
 385    "          main=\"Tobacco Usage Distribution\"\n",
 386    "         )"
 387   ]
 388  },
 389  {
 390   "cell_type": "markdown",
 391   "id": "8d0033c8-089c-4d37-b2dc-2d60c42339d9",
 392   "metadata": {},
 393   "source": [
 394    "For other columns, like `PREGNANT`, the meaning of the numbers is not so clear."
 395   ]
 396  },
 397  {
 398   "cell_type": "code",
 399   "execution_count": 7,
 400   "id": "1cc796f8-bc52-4f62-b9fa-f88d2339f354",
 401   "metadata": {
 402    "vscode": {
 403     "languageId": "r"
 404    }
 405   },
 406   "outputs": [
 407    {
 408     "data": {
 409      "image/png": 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",
 410      "text/plain": [
 411       "Plot with title “Pregnancy Distribution”"
 412      ]
 413     },
 414     "metadata": {
 415      "image/png": {
 416       "height": 420,
 417       "width": 420
 418      }
 419     },
 420     "output_type": "display_data"
 421    }
 422   ],
 423   "source": [
 424    "pie_chart(table(df$PREGNANT),\n",
 425    "          col=c(col.pink, col.blue, col.yellow, col.orange),\n",
 426    "          legend=c(\"Pregnant\", \"Not pregnant\", \"97 (Unknown)\", \"98 (Unknown)\"),\n",
 427    "          main=\"Pregnancy Distribution\"\n",
 428    "         )"
 429   ]
 430  },
 431  {
 432   "cell_type": "markdown",
 433   "id": "81671fd5-9270-4757-a3fd-653b913c36da",
 434   "metadata": {},
 435   "source": [
 436    "The amount of _97_ values is bigger than the number of non-pregnant patients. This could probably mean that _97_ was used as an indicator for values that do not make sense logically (for example, men cannot be pregnant).\n",
 437    "\n",
 438    "We can check the amounts and see that they coincide:"
 439   ]
 440  },
 441  {
 442   "cell_type": "code",
 443   "execution_count": 8,
 444   "id": "5c3ccad2-9e6d-4efa-975f-6d1ca2167158",
 445   "metadata": {
 446    "vscode": {
 447     "languageId": "r"
 448    }
 449   },
 450   "outputs": [
 451    {
 452     "name": "stdout",
 453     "output_type": "stream",
 454     "text": [
 455      "[1] \"Number of male patients:  209489\"\n",
 456      "[1] \"Number of 97 values:  209489\"\n"
 457     ]
 458    }
 459   ],
 460   "source": [
 461    "print(paste(\"Number of male patients: \", table(df$SEX)[2]))\n",
 462    "print(paste(\"Number of 97 values: \", table(df$PREGNANT)[3]))"
 463   ]
 464  },
 465  {
 466   "cell_type": "markdown",
 467   "id": "6d4074fd-a63f-432e-b788-62190bfb228a",
 468   "metadata": {},
 469   "source": [
 470    "Let's start by removing rows which have missing values on each variable:"
 471   ]
 472  },
 473  {
 474   "cell_type": "code",
 475   "execution_count": 9,
 476   "id": "3dab126a-b784-43b1-b7ac-8cfdb03bac76",
 477   "metadata": {
 478    "vscode": {
 479     "languageId": "r"
 480    }
 481   },
 482   "outputs": [
 483    {
 484     "name": "stdout",
 485     "output_type": "stream",
 486     "text": [
 487      "[1] \"Removed 662475 rows.\"\n",
 488      "[1] \"386100 rows left in dataframe.\"\n"
 489     ]
 490    }
 491   ],
 492   "source": [
 493    "df = df[df$PNEUMONIA != 99,]\n",
 494    "df = df[df$INTUBED != 99,]\n",
 495    "df = df[df$ICU != 99,]\n",
 496    "df = df[df$DIABETES != 98,]\n",
 497    "df = df[df$COPD != 98,]\n",
 498    "df = df[df$ASTHMA != 98,]\n",
 499    "df = df[df$INMSUPR != 98,]\n",
 500    "df = df[df$HIPERTENSION != 98,]\n",
 501    "df = df[df$OTHER_DISEASE != 98,]\n",
 502    "df = df[df$CARDIOVASCULAR != 98,]\n",
 503    "df = df[df$OBESITY != 98,]\n",
 504    "df = df[df$RENAL_CHRONIC != 98,]\n",
 505    "df = df[df$TOBACCO != 98,]\n",
 506    "df = df[df$PREGNANT != 98,]\n",
 507    "\n",
 508    "row.n2 = nrow(df)\n",
 509    "print(paste(\"Removed\", row.n1 - row.n2, \"rows.\"))\n",
 510    "print(paste(row.n2, \"rows left in dataframe.\"))"
 511   ]
 512  },
 513  {
 514   "cell_type": "markdown",
 515   "id": "ef8272ce-7447-4a69-babf-9e87814f36c1",
 516   "metadata": {},
 517   "source": [
 518    "Now, replace the _97_ values in columns where it makes sense.\n",
 519    "\n",
 520    "* Men cannot be pregnant;\n",
 521    "* Non-hospitalized patients cannot be intubed;\n",
 522    "* Non-hospitalized patients cannot be in intensive care.\n",
 523    "\n",
 524    "We will also replace the _2_ values with _0_, because it better signifies the absence of a given trait."
 525   ]
 526  },
 527  {
 528   "cell_type": "code",
 529   "execution_count": 10,
 530   "id": "9956ccc7-de52-47ea-b44d-8cd046f50df5",
 531   "metadata": {
 532    "vscode": {
 533     "languageId": "r"
 534    }
 535   },
 536   "outputs": [],
 537   "source": [
 538    "# fix unknown values\n",
 539    "df$PREGNANT[df$PREGNANT == 97] <- 0\n",
 540    "df$INTUBED[df$INTUBED == 97] <- 0\n",
 541    "df$ICU[df$ICU == 97] <- 0\n",
 542    "\n",
 543    "# replace negative cases\n",
 544    "df$USMER[df$USMER == 2] <- 0\n",
 545    "df$SEX[df$SEX == 2] <- 0\n",
 546    "df$INTUBED[df$INTUBED == 2] <- 0\n",
 547    "df$PNEUMONIA[df$PNEUMONIA == 2] <- 0\n",
 548    "df$PREGNANT[df$PREGNANT == 2] <- 0\n",
 549    "df$DIABETES[df$DIABETES == 2] <- 0\n",
 550    "df$COPD[df$COPD == 2] <- 0\n",
 551    "df$ASTHMA[df$ASTHMA == 2] <- 0\n",
 552    "df$INMSUPR[df$INMSUPR == 2] <- 0\n",
 553    "df$HIPERTENSION[df$HIPERTENSION == 2] <- 0\n",
 554    "df$OTHER_DISEASE[df$OTHER_DISEASE == 2] <- 0\n",
 555    "df$CARDIOVASCULAR[df$CARDIOVASCULAR == 2] <- 0\n",
 556    "df$OBESITY[df$OBESITY == 2] <- 0\n",
 557    "df$TOBACCO[df$TOBACCO == 2] <- 0\n",
 558    "df$ICU[df$ICU == 2] <- 0\n",
 559    "\n",
 560    "df$PATIENT_TYPE = df$PATIENT_TYPE - 1\n",
 561    "# for this last variable, we need 1 to become 0\n",
 562    "# and 2 to become 1, so we can just subtract 1.\n",
 563    "\n",
 564    "df$DATE_DIED <- ifelse(df$DATE_DIED == \"9999-99-99\", 0, 1)\n",
 565    "# For our analysis, we don't care about the exact date\n",
 566    "# of the death of our patients. We can make it so we\n",
 567    "# have 1 if the patient died, and 0 otherwise."
 568   ]
 569  },
 570  {
 571   "cell_type": "markdown",
 572   "id": "b04e0cb9-c1c4-45b1-a977-bf2ad03987f4",
 573   "metadata": {},
 574   "source": [
 575    "Finally, we can craft our target column `AT_RISK`, which will summarize if the patient can be considered at risk or not.\n",
 576    "In particular, the column has value 1 if the patient has either:\n",
 577    "* Been hospitalized,\n",
 578    "* Been in Intensive Care Unit,\n",
 579    "* Been intubed,\n",
 580    "* Died.\n",
 581    "\n",
 582    "We can also remove all the columns with useless or redundant information."
 583   ]
 584  },
 585  {
 586   "cell_type": "code",
 587   "execution_count": 11,
 588   "id": "1f13b302-edd0-4913-992e-de6bcfc5955a",
 589   "metadata": {
 590    "vscode": {
 591     "languageId": "r"
 592    }
 593   },
 594   "outputs": [
 595    {
 596     "data": {
 597      "text/html": [
 598       "<table class=\"dataframe\">\n",
 599       "<caption>A data.frame: 6 × 15</caption>\n",
 600       "<thead>\n",
 601       "\t<tr><th></th><th scope=col>SEX</th><th scope=col>PNEUMONIA</th><th scope=col>AGE</th><th scope=col>PREGNANT</th><th scope=col>DIABETES</th><th scope=col>COPD</th><th scope=col>ASTHMA</th><th scope=col>INMSUPR</th><th scope=col>HIPERTENSION</th><th scope=col>OTHER_DISEASE</th><th scope=col>CARDIOVASCULAR</th><th scope=col>OBESITY</th><th scope=col>RENAL_CHRONIC</th><th scope=col>TOBACCO</th><th scope=col>AT_RISK</th></tr>\n",
 602       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
 603       "</thead>\n",
 604       "<tbody>\n",
 605       "\t<tr><th scope=row>1</th><td>1</td><td>1</td><td>65</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>1</td></tr>\n",
 606       "\t<tr><th scope=row>3</th><td>0</td><td>0</td><td>55</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>1</td></tr>\n",
 607       "\t<tr><th scope=row>5</th><td>0</td><td>0</td><td>68</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>1</td></tr>\n",
 608       "\t<tr><th scope=row>6</th><td>1</td><td>1</td><td>40</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>1</td></tr>\n",
 609       "\t<tr><th scope=row>7</th><td>1</td><td>0</td><td>64</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>0</td></tr>\n",
 610       "\t<tr><th scope=row>8</th><td>1</td><td>1</td><td>64</td><td>0</td><td>1</td><td>0</td><td>0</td><td>1</td><td>1</td><td>0</td><td>0</td><td>0</td><td>1</td><td>0</td><td>0</td></tr>\n",
 611       "</tbody>\n",
 612       "</table>\n"
 613      ],
 614      "text/latex": [
 615       "A data.frame: 6 × 15\n",
 616       "\\begin{tabular}{r|lllllllllllllll}\n",
 617       "  & SEX & PNEUMONIA & AGE & PREGNANT & DIABETES & COPD & ASTHMA & INMSUPR & HIPERTENSION & OTHER\\_DISEASE & CARDIOVASCULAR & OBESITY & RENAL\\_CHRONIC & TOBACCO & AT\\_RISK\\\\\n",
 618       "  & <dbl> & <dbl> & <int> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <int> & <dbl> & <dbl>\\\\\n",
 619       "\\hline\n",
 620       "\t1 & 1 & 1 & 65 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 1\\\\\n",
 621       "\t3 & 0 & 0 & 55 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 1\\\\\n",
 622       "\t5 & 0 & 0 & 68 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 1\\\\\n",
 623       "\t6 & 1 & 1 & 40 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 1\\\\\n",
 624       "\t7 & 1 & 0 & 64 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0\\\\\n",
 625       "\t8 & 1 & 1 & 64 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0\\\\\n",
 626       "\\end{tabular}\n"
 627      ],
 628      "text/markdown": [
 629       "\n",
 630       "A data.frame: 6 × 15\n",
 631       "\n",
 632       "| <!--/--> | SEX &lt;dbl&gt; | PNEUMONIA &lt;dbl&gt; | AGE &lt;int&gt; | PREGNANT &lt;dbl&gt; | DIABETES &lt;dbl&gt; | COPD &lt;dbl&gt; | ASTHMA &lt;dbl&gt; | INMSUPR &lt;dbl&gt; | HIPERTENSION &lt;dbl&gt; | OTHER_DISEASE &lt;dbl&gt; | CARDIOVASCULAR &lt;dbl&gt; | OBESITY &lt;dbl&gt; | RENAL_CHRONIC &lt;int&gt; | TOBACCO &lt;dbl&gt; | AT_RISK &lt;dbl&gt; |\n",
 633       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
 634       "| 1 | 1 | 1 | 65 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 1 |\n",
 635       "| 3 | 0 | 0 | 55 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 |\n",
 636       "| 5 | 0 | 0 | 68 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 1 |\n",
 637       "| 6 | 1 | 1 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 |\n",
 638       "| 7 | 1 | 0 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 |\n",
 639       "| 8 | 1 | 1 | 64 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 |\n",
 640       "\n"
 641      ],
 642      "text/plain": [
 643       "  SEX PNEUMONIA AGE PREGNANT DIABETES COPD ASTHMA INMSUPR HIPERTENSION\n",
 644       "1 1   1         65  0        0        0    0      0       1           \n",
 645       "3 0   0         55  0        1        0    0      0       0           \n",
 646       "5 0   0         68  0        1        0    0      0       1           \n",
 647       "6 1   1         40  0        0        0    0      0       0           \n",
 648       "7 1   0         64  0        0        0    0      0       0           \n",
 649       "8 1   1         64  0        1        0    0      1       1           \n",
 650       "  OTHER_DISEASE CARDIOVASCULAR OBESITY RENAL_CHRONIC TOBACCO AT_RISK\n",
 651       "1 0             0              0       2             0       1      \n",
 652       "3 0             0              0       2             0       1      \n",
 653       "5 0             0              0       2             0       1      \n",
 654       "6 0             0              0       2             0       1      \n",
 655       "7 0             0              0       2             0       0      \n",
 656       "8 0             0              0       1             0       0      "
 657      ]
 658     },
 659     "metadata": {},
 660     "output_type": "display_data"
 661    }
 662   ],
 663   "source": [
 664    "df$AT_RISK = df$DATE_DIED + df$INTUBED + df$ICU + df$PATIENT_TYPE\n",
 665    "df$AT_RISK <- ifelse(df$AT_RISK > 0, 1, 0)\n",
 666    "\n",
 667    "df = within(df, rm('CLASIFFICATION_FINAL', 'INTUBED', 'ICU', 'DATE_DIED', 'PATIENT_TYPE', 'MEDICAL_UNIT', 'USMER'))\n",
 668    "head(df)"
 669   ]
 670  },
 671  {
 672   "cell_type": "markdown",
 673   "id": "46b3e1a3-8872-4ae2-b6fb-239787aca959",
 674   "metadata": {},
 675   "source": [
 676    "## Step 2: Data visualization\n",
 677    "Now that we have a clean dataset, we can plot some of our data.\n",
 678    "\n",
 679    ">Please be wary that from now on all visualizations are valid under the assumption that they have already been tested positive for COVID.\n",
 680    "\n",
 681    "First of all, the target column, where we expect to see some class imbalance."
 682   ]
 683  },
 684  {
 685   "cell_type": "code",
 686   "execution_count": 12,
 687   "id": "b2b29659-2312-45a6-ba13-f18382b6eb74",
 688   "metadata": {
 689    "vscode": {
 690     "languageId": "r"
 691    }
 692   },
 693   "outputs": [
 694    {
 695     "data": {
 696      "image/png": 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",
 697      "text/plain": [
 698       "Plot with title “Risk distribution in positive cases”"
 699      ]
 700     },
 701     "metadata": {
 702      "image/png": {
 703       "height": 420,
 704       "width": 420
 705      }
 706     },
 707     "output_type": "display_data"
 708    }
 709   ],
 710   "source": [
 711    "p = table(df$AT_RISK)\n",
 712    "pie_chart(p, col=c(col.green, col.yellow), legend=c(\"Safe\", \"At risk\"), main=\"Risk distribution in positive cases\")"
 713   ]
 714  },
 715  {
 716   "cell_type": "markdown",
 717   "id": "385ffc68-c252-49de-8f20-20cbefa5d6a1",
 718   "metadata": {},
 719   "source": [
 720    "The `AGE` column follows a _positively-skewed_ normal distribution:"
 721   ]
 722  },
 723  {
 724   "cell_type": "code",
 725   "execution_count": 13,
 726   "id": "f93f87ee-0b67-4d8b-86c4-e329c7e2c7ac",
 727   "metadata": {
 728    "vscode": {
 729     "languageId": "r"
 730    }
 731   },
 732   "outputs": [
 733    {
 734     "data": {
 735      "image/png": 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",
 736      "text/plain": [
 737       "Plot with title “Age distribution”"
 738      ]
 739     },
 740     "metadata": {
 741      "image/png": {
 742       "height": 420,
 743       "width": 420
 744      }
 745     },
 746     "output_type": "display_data"
 747    }
 748   ],
 749   "source": [
 750    "par(mfrow=c(2,1))\n",
 751    "hist(df$AGE, freq=FALSE, col=col.gray, main=\"Age distribution\", xlab=\"Age\", breaks=10)\n",
 752    "lines(density(df$AGE), col=col.red, lwd=2)\n",
 753    "boxplot(df$AGE, horizontal=TRUE)"
 754   ]
 755  },
 756  {
 757   "cell_type": "markdown",
 758   "id": "8b515c5b-9130-44a0-babb-a9d46498783e",
 759   "metadata": {},
 760   "source": [
 761    "Let's check out more interesting pie graphs:"
 762   ]
 763  },
 764  {
 765   "cell_type": "code",
 766   "execution_count": 14,
 767   "id": "27b26eb4-f7ad-43e3-8b73-cf8c51a96336",
 768   "metadata": {
 769    "vscode": {
 770     "languageId": "r"
 771    }
 772   },
 773   "outputs": [
 774    {
 775     "data": {
 776      "image/png": 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",
 777      "text/plain": [
 778       "Plot with title “Immunosuppression”"
 779      ]
 780     },
 781     "metadata": {
 782      "image/png": {
 783       "height": 420,
 784       "width": 420
 785      }
 786     },
 787     "output_type": "display_data"
 788    }
 789   ],
 790   "source": [
 791    "par(mfrow=c(2,2))\n",
 792    "\n",
 793    "pie_chart(table(df$SEX),\n",
 794    "          col=c(col.blue, col.pink),\n",
 795    "          legend=c(\"Male\", \"Female\"),\n",
 796    "          main=\"Sex\"\n",
 797    "         )\n",
 798    "pie_chart(table(df$OBESITY),\n",
 799    "          col=c(col.green, col.red),\n",
 800    "          legend=c(\"Not obese\", \"Obese\"),\n",
 801    "          main=\"Obesity\"\n",
 802    "         )\n",
 803    "pie_chart(table(df$PNEUMONIA),\n",
 804    "          col=c(col.green, col.red),\n",
 805    "          legend=c(\"Does not suffer\", \"Suffers\"),\n",
 806    "          main=\"Pneumonia\"\n",
 807    "         )\n",
 808    "pie_chart(table(df$INMSUPR),\n",
 809    "          col=c(col.green, col.red),\n",
 810    "          legend=c(\"Is not\", \"Is\"),\n",
 811    "          main=\"Immunosuppression\"\n",
 812    "         )"
 813   ]
 814  },
 815  {
 816   "cell_type": "markdown",
 817   "id": "67f3399c-dec6-4643-9c1c-e8d61a19958b",
 818   "metadata": {},
 819   "source": [
 820    "Let's now compute the covariance matrix. It is a symmetric matrix that contains the variance of each feature and the cross-features covariances:\n",
 821    "\n",
 822    "$$\n",
 823    "\\Sigma =\n",
 824    "\\begin{bmatrix}\n",
 825    "Var(x) & Cov(x, y) \\\\\n",
 826    "Cov(y, x) & Var(y)\n",
 827    "\\end{bmatrix}\n",
 828    "$$\n",
 829    "\n",
 830    "When the two features are positively correlated, the covariance is greater than zero, otherwise, it has a negative value. Furthermore, if there is no evidence of a correlation between them, the covariance is equal to zero.\n",
 831    "\n",
 832    "We'll use the `round()` function to get results up to the third decimal unit."
 833   ]
 834  },
 835  {
 836   "cell_type": "code",
 837   "execution_count": 15,
 838   "id": "903f2675-b1a0-4119-9307-5dc71b38345b",
 839   "metadata": {
 840    "vscode": {
 841     "languageId": "r"
 842    }
 843   },
 844   "outputs": [
 845    {
 846     "data": {
 847      "text/html": [
 848       "<table class=\"dataframe\">\n",
 849       "<caption>A matrix: 15 × 15 of type dbl</caption>\n",
 850       "<thead>\n",
 851       "\t<tr><th></th><th scope=col>SEX</th><th scope=col>PNEUMONIA</th><th scope=col>AGE</th><th scope=col>PREGNANT</th><th scope=col>DIABETES</th><th scope=col>COPD</th><th scope=col>ASTHMA</th><th scope=col>INMSUPR</th><th scope=col>HIPERTENSION</th><th scope=col>OTHER_DISEASE</th><th scope=col>CARDIOVASCULAR</th><th scope=col>OBESITY</th><th scope=col>RENAL_CHRONIC</th><th scope=col>TOBACCO</th><th scope=col>AT_RISK</th></tr>\n",
 852       "</thead>\n",
 853       "<tbody>\n",
 854       "\t<tr><th scope=row>SEX</th><td> 0.249</td><td>-0.019</td><td> -0.348</td><td> 0.004</td><td>-0.001</td><td> 0.000</td><td> 0.004</td><td> 0.001</td><td> 0.001</td><td> 0.002</td><td>-0.001</td><td> 0.004</td><td> 0.001</td><td>-0.013</td><td>-0.025</td></tr>\n",
 855       "\t<tr><th scope=row>PNEUMONIA</th><td>-0.019</td><td> 0.170</td><td>  2.330</td><td>-0.001</td><td> 0.034</td><td> 0.004</td><td>-0.001</td><td> 0.002</td><td> 0.033</td><td> 0.003</td><td> 0.004</td><td> 0.013</td><td>-0.005</td><td> 0.002</td><td> 0.129</td></tr>\n",
 856       "\t<tr><th scope=row>AGE</th><td>-0.348</td><td> 2.330</td><td>270.189</td><td>-0.116</td><td> 1.984</td><td> 0.311</td><td>-0.065</td><td> 0.066</td><td> 2.588</td><td> 0.124</td><td> 0.322</td><td> 0.374</td><td>-0.215</td><td> 0.001</td><td> 3.202</td></tr>\n",
 857       "\t<tr><th scope=row>PREGNANT</th><td> 0.004</td><td>-0.001</td><td> -0.116</td><td> 0.007</td><td>-0.001</td><td> 0.000</td><td> 0.000</td><td> 0.000</td><td>-0.001</td><td> 0.000</td><td> 0.000</td><td>-0.001</td><td> 0.000</td><td> 0.000</td><td> 0.000</td></tr>\n",
 858       "\t<tr><th scope=row>DIABETES</th><td>-0.001</td><td> 0.034</td><td>  1.984</td><td>-0.001</td><td> 0.133</td><td> 0.004</td><td> 0.000</td><td> 0.002</td><td> 0.054</td><td> 0.002</td><td> 0.005</td><td> 0.015</td><td>-0.008</td><td> 0.001</td><td> 0.046</td></tr>\n",
 859       "\t<tr><th scope=row>COPD</th><td> 0.000</td><td> 0.004</td><td>  0.311</td><td> 0.000</td><td> 0.004</td><td> 0.015</td><td> 0.001</td><td> 0.001</td><td> 0.005</td><td> 0.001</td><td> 0.002</td><td> 0.002</td><td>-0.001</td><td> 0.002</td><td> 0.006</td></tr>\n",
 860       "\t<tr><th scope=row>ASTHMA</th><td> 0.004</td><td>-0.001</td><td> -0.065</td><td> 0.000</td><td> 0.000</td><td> 0.001</td><td> 0.026</td><td> 0.000</td><td> 0.001</td><td> 0.000</td><td> 0.000</td><td> 0.003</td><td> 0.000</td><td> 0.000</td><td>-0.001</td></tr>\n",
 861       "\t<tr><th scope=row>INMSUPR</th><td> 0.001</td><td> 0.002</td><td>  0.066</td><td> 0.000</td><td> 0.002</td><td> 0.001</td><td> 0.000</td><td> 0.012</td><td> 0.002</td><td> 0.002</td><td> 0.001</td><td> 0.001</td><td>-0.002</td><td> 0.000</td><td> 0.003</td></tr>\n",
 862       "\t<tr><th scope=row>HIPERTENSION</th><td> 0.001</td><td> 0.033</td><td>  2.588</td><td>-0.001</td><td> 0.054</td><td> 0.005</td><td> 0.001</td><td> 0.002</td><td> 0.157</td><td> 0.003</td><td> 0.009</td><td> 0.023</td><td>-0.010</td><td> 0.001</td><td> 0.047</td></tr>\n",
 863       "\t<tr><th scope=row>OTHER_DISEASE</th><td> 0.002</td><td> 0.003</td><td>  0.124</td><td> 0.000</td><td> 0.002</td><td> 0.001</td><td> 0.000</td><td> 0.002</td><td> 0.003</td><td> 0.025</td><td> 0.001</td><td> 0.001</td><td>-0.001</td><td> 0.001</td><td> 0.005</td></tr>\n",
 864       "\t<tr><th scope=row>CARDIOVASCULAR</th><td>-0.001</td><td> 0.004</td><td>  0.322</td><td> 0.000</td><td> 0.005</td><td> 0.002</td><td> 0.000</td><td> 0.001</td><td> 0.009</td><td> 0.001</td><td> 0.021</td><td> 0.003</td><td>-0.002</td><td> 0.001</td><td> 0.006</td></tr>\n",
 865       "\t<tr><th scope=row>OBESITY</th><td> 0.004</td><td> 0.013</td><td>  0.374</td><td>-0.001</td><td> 0.015</td><td> 0.002</td><td> 0.003</td><td> 0.001</td><td> 0.023</td><td> 0.001</td><td> 0.003</td><td> 0.151</td><td> 0.000</td><td> 0.007</td><td> 0.014</td></tr>\n",
 866       "\t<tr><th scope=row>RENAL_CHRONIC</th><td> 0.001</td><td>-0.005</td><td> -0.215</td><td> 0.000</td><td>-0.008</td><td>-0.001</td><td> 0.000</td><td>-0.002</td><td>-0.010</td><td>-0.001</td><td>-0.002</td><td> 0.000</td><td> 0.020</td><td> 0.000</td><td>-0.009</td></tr>\n",
 867       "\t<tr><th scope=row>TOBACCO</th><td>-0.013</td><td> 0.002</td><td>  0.001</td><td> 0.000</td><td> 0.001</td><td> 0.002</td><td> 0.000</td><td> 0.000</td><td> 0.001</td><td> 0.001</td><td> 0.001</td><td> 0.007</td><td> 0.000</td><td> 0.068</td><td> 0.001</td></tr>\n",
 868       "\t<tr><th scope=row>AT_RISK</th><td>-0.025</td><td> 0.129</td><td>  3.202</td><td> 0.000</td><td> 0.046</td><td> 0.006</td><td>-0.001</td><td> 0.003</td><td> 0.047</td><td> 0.005</td><td> 0.006</td><td> 0.014</td><td>-0.009</td><td> 0.001</td><td> 0.207</td></tr>\n",
 869       "</tbody>\n",
 870       "</table>\n"
 871      ],
 872      "text/latex": [
 873       "A matrix: 15 × 15 of type dbl\n",
 874       "\\begin{tabular}{r|lllllllllllllll}\n",
 875       "  & SEX & PNEUMONIA & AGE & PREGNANT & DIABETES & COPD & ASTHMA & INMSUPR & HIPERTENSION & OTHER\\_DISEASE & CARDIOVASCULAR & OBESITY & RENAL\\_CHRONIC & TOBACCO & AT\\_RISK\\\\\n",
 876       "\\hline\n",
 877       "\tSEX &  0.249 & -0.019 &  -0.348 &  0.004 & -0.001 &  0.000 &  0.004 &  0.001 &  0.001 &  0.002 & -0.001 &  0.004 &  0.001 & -0.013 & -0.025\\\\\n",
 878       "\tPNEUMONIA & -0.019 &  0.170 &   2.330 & -0.001 &  0.034 &  0.004 & -0.001 &  0.002 &  0.033 &  0.003 &  0.004 &  0.013 & -0.005 &  0.002 &  0.129\\\\\n",
 879       "\tAGE & -0.348 &  2.330 & 270.189 & -0.116 &  1.984 &  0.311 & -0.065 &  0.066 &  2.588 &  0.124 &  0.322 &  0.374 & -0.215 &  0.001 &  3.202\\\\\n",
 880       "\tPREGNANT &  0.004 & -0.001 &  -0.116 &  0.007 & -0.001 &  0.000 &  0.000 &  0.000 & -0.001 &  0.000 &  0.000 & -0.001 &  0.000 &  0.000 &  0.000\\\\\n",
 881       "\tDIABETES & -0.001 &  0.034 &   1.984 & -0.001 &  0.133 &  0.004 &  0.000 &  0.002 &  0.054 &  0.002 &  0.005 &  0.015 & -0.008 &  0.001 &  0.046\\\\\n",
 882       "\tCOPD &  0.000 &  0.004 &   0.311 &  0.000 &  0.004 &  0.015 &  0.001 &  0.001 &  0.005 &  0.001 &  0.002 &  0.002 & -0.001 &  0.002 &  0.006\\\\\n",
 883       "\tASTHMA &  0.004 & -0.001 &  -0.065 &  0.000 &  0.000 &  0.001 &  0.026 &  0.000 &  0.001 &  0.000 &  0.000 &  0.003 &  0.000 &  0.000 & -0.001\\\\\n",
 884       "\tINMSUPR &  0.001 &  0.002 &   0.066 &  0.000 &  0.002 &  0.001 &  0.000 &  0.012 &  0.002 &  0.002 &  0.001 &  0.001 & -0.002 &  0.000 &  0.003\\\\\n",
 885       "\tHIPERTENSION &  0.001 &  0.033 &   2.588 & -0.001 &  0.054 &  0.005 &  0.001 &  0.002 &  0.157 &  0.003 &  0.009 &  0.023 & -0.010 &  0.001 &  0.047\\\\\n",
 886       "\tOTHER\\_DISEASE &  0.002 &  0.003 &   0.124 &  0.000 &  0.002 &  0.001 &  0.000 &  0.002 &  0.003 &  0.025 &  0.001 &  0.001 & -0.001 &  0.001 &  0.005\\\\\n",
 887       "\tCARDIOVASCULAR & -0.001 &  0.004 &   0.322 &  0.000 &  0.005 &  0.002 &  0.000 &  0.001 &  0.009 &  0.001 &  0.021 &  0.003 & -0.002 &  0.001 &  0.006\\\\\n",
 888       "\tOBESITY &  0.004 &  0.013 &   0.374 & -0.001 &  0.015 &  0.002 &  0.003 &  0.001 &  0.023 &  0.001 &  0.003 &  0.151 &  0.000 &  0.007 &  0.014\\\\\n",
 889       "\tRENAL\\_CHRONIC &  0.001 & -0.005 &  -0.215 &  0.000 & -0.008 & -0.001 &  0.000 & -0.002 & -0.010 & -0.001 & -0.002 &  0.000 &  0.020 &  0.000 & -0.009\\\\\n",
 890       "\tTOBACCO & -0.013 &  0.002 &   0.001 &  0.000 &  0.001 &  0.002 &  0.000 &  0.000 &  0.001 &  0.001 &  0.001 &  0.007 &  0.000 &  0.068 &  0.001\\\\\n",
 891       "\tAT\\_RISK & -0.025 &  0.129 &   3.202 &  0.000 &  0.046 &  0.006 & -0.001 &  0.003 &  0.047 &  0.005 &  0.006 &  0.014 & -0.009 &  0.001 &  0.207\\\\\n",
 892       "\\end{tabular}\n"
 893      ],
 894      "text/markdown": [
 895       "\n",
 896       "A matrix: 15 × 15 of type dbl\n",
 897       "\n",
 898       "| <!--/--> | SEX | PNEUMONIA | AGE | PREGNANT | DIABETES | COPD | ASTHMA | INMSUPR | HIPERTENSION | OTHER_DISEASE | CARDIOVASCULAR | OBESITY | RENAL_CHRONIC | TOBACCO | AT_RISK |\n",
 899       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
 900       "| SEX |  0.249 | -0.019 |  -0.348 |  0.004 | -0.001 |  0.000 |  0.004 |  0.001 |  0.001 |  0.002 | -0.001 |  0.004 |  0.001 | -0.013 | -0.025 |\n",
 901       "| PNEUMONIA | -0.019 |  0.170 |   2.330 | -0.001 |  0.034 |  0.004 | -0.001 |  0.002 |  0.033 |  0.003 |  0.004 |  0.013 | -0.005 |  0.002 |  0.129 |\n",
 902       "| AGE | -0.348 |  2.330 | 270.189 | -0.116 |  1.984 |  0.311 | -0.065 |  0.066 |  2.588 |  0.124 |  0.322 |  0.374 | -0.215 |  0.001 |  3.202 |\n",
 903       "| PREGNANT |  0.004 | -0.001 |  -0.116 |  0.007 | -0.001 |  0.000 |  0.000 |  0.000 | -0.001 |  0.000 |  0.000 | -0.001 |  0.000 |  0.000 |  0.000 |\n",
 904       "| DIABETES | -0.001 |  0.034 |   1.984 | -0.001 |  0.133 |  0.004 |  0.000 |  0.002 |  0.054 |  0.002 |  0.005 |  0.015 | -0.008 |  0.001 |  0.046 |\n",
 905       "| COPD |  0.000 |  0.004 |   0.311 |  0.000 |  0.004 |  0.015 |  0.001 |  0.001 |  0.005 |  0.001 |  0.002 |  0.002 | -0.001 |  0.002 |  0.006 |\n",
 906       "| ASTHMA |  0.004 | -0.001 |  -0.065 |  0.000 |  0.000 |  0.001 |  0.026 |  0.000 |  0.001 |  0.000 |  0.000 |  0.003 |  0.000 |  0.000 | -0.001 |\n",
 907       "| INMSUPR |  0.001 |  0.002 |   0.066 |  0.000 |  0.002 |  0.001 |  0.000 |  0.012 |  0.002 |  0.002 |  0.001 |  0.001 | -0.002 |  0.000 |  0.003 |\n",
 908       "| HIPERTENSION |  0.001 |  0.033 |   2.588 | -0.001 |  0.054 |  0.005 |  0.001 |  0.002 |  0.157 |  0.003 |  0.009 |  0.023 | -0.010 |  0.001 |  0.047 |\n",
 909       "| OTHER_DISEASE |  0.002 |  0.003 |   0.124 |  0.000 |  0.002 |  0.001 |  0.000 |  0.002 |  0.003 |  0.025 |  0.001 |  0.001 | -0.001 |  0.001 |  0.005 |\n",
 910       "| CARDIOVASCULAR | -0.001 |  0.004 |   0.322 |  0.000 |  0.005 |  0.002 |  0.000 |  0.001 |  0.009 |  0.001 |  0.021 |  0.003 | -0.002 |  0.001 |  0.006 |\n",
 911       "| OBESITY |  0.004 |  0.013 |   0.374 | -0.001 |  0.015 |  0.002 |  0.003 |  0.001 |  0.023 |  0.001 |  0.003 |  0.151 |  0.000 |  0.007 |  0.014 |\n",
 912       "| RENAL_CHRONIC |  0.001 | -0.005 |  -0.215 |  0.000 | -0.008 | -0.001 |  0.000 | -0.002 | -0.010 | -0.001 | -0.002 |  0.000 |  0.020 |  0.000 | -0.009 |\n",
 913       "| TOBACCO | -0.013 |  0.002 |   0.001 |  0.000 |  0.001 |  0.002 |  0.000 |  0.000 |  0.001 |  0.001 |  0.001 |  0.007 |  0.000 |  0.068 |  0.001 |\n",
 914       "| AT_RISK | -0.025 |  0.129 |   3.202 |  0.000 |  0.046 |  0.006 | -0.001 |  0.003 |  0.047 |  0.005 |  0.006 |  0.014 | -0.009 |  0.001 |  0.207 |\n",
 915       "\n"
 916      ],
 917      "text/plain": [
 918       "               SEX    PNEUMONIA AGE     PREGNANT DIABETES COPD   ASTHMA INMSUPR\n",
 919       "SEX             0.249 -0.019     -0.348  0.004   -0.001    0.000  0.004  0.001 \n",
 920       "PNEUMONIA      -0.019  0.170      2.330 -0.001    0.034    0.004 -0.001  0.002 \n",
 921       "AGE            -0.348  2.330    270.189 -0.116    1.984    0.311 -0.065  0.066 \n",
 922       "PREGNANT        0.004 -0.001     -0.116  0.007   -0.001    0.000  0.000  0.000 \n",
 923       "DIABETES       -0.001  0.034      1.984 -0.001    0.133    0.004  0.000  0.002 \n",
 924       "COPD            0.000  0.004      0.311  0.000    0.004    0.015  0.001  0.001 \n",
 925       "ASTHMA          0.004 -0.001     -0.065  0.000    0.000    0.001  0.026  0.000 \n",
 926       "INMSUPR         0.001  0.002      0.066  0.000    0.002    0.001  0.000  0.012 \n",
 927       "HIPERTENSION    0.001  0.033      2.588 -0.001    0.054    0.005  0.001  0.002 \n",
 928       "OTHER_DISEASE   0.002  0.003      0.124  0.000    0.002    0.001  0.000  0.002 \n",
 929       "CARDIOVASCULAR -0.001  0.004      0.322  0.000    0.005    0.002  0.000  0.001 \n",
 930       "OBESITY         0.004  0.013      0.374 -0.001    0.015    0.002  0.003  0.001 \n",
 931       "RENAL_CHRONIC   0.001 -0.005     -0.215  0.000   -0.008   -0.001  0.000 -0.002 \n",
 932       "TOBACCO        -0.013  0.002      0.001  0.000    0.001    0.002  0.000  0.000 \n",
 933       "AT_RISK        -0.025  0.129      3.202  0.000    0.046    0.006 -0.001  0.003 \n",
 934       "               HIPERTENSION OTHER_DISEASE CARDIOVASCULAR OBESITY RENAL_CHRONIC\n",
 935       "SEX             0.001        0.002        -0.001          0.004   0.001       \n",
 936       "PNEUMONIA       0.033        0.003         0.004          0.013  -0.005       \n",
 937       "AGE             2.588        0.124         0.322          0.374  -0.215       \n",
 938       "PREGNANT       -0.001        0.000         0.000         -0.001   0.000       \n",
 939       "DIABETES        0.054        0.002         0.005          0.015  -0.008       \n",
 940       "COPD            0.005        0.001         0.002          0.002  -0.001       \n",
 941       "ASTHMA          0.001        0.000         0.000          0.003   0.000       \n",
 942       "INMSUPR         0.002        0.002         0.001          0.001  -0.002       \n",
 943       "HIPERTENSION    0.157        0.003         0.009          0.023  -0.010       \n",
 944       "OTHER_DISEASE   0.003        0.025         0.001          0.001  -0.001       \n",
 945       "CARDIOVASCULAR  0.009        0.001         0.021          0.003  -0.002       \n",
 946       "OBESITY         0.023        0.001         0.003          0.151   0.000       \n",
 947       "RENAL_CHRONIC  -0.010       -0.001        -0.002          0.000   0.020       \n",
 948       "TOBACCO         0.001        0.001         0.001          0.007   0.000       \n",
 949       "AT_RISK         0.047        0.005         0.006          0.014  -0.009       \n",
 950       "               TOBACCO AT_RISK\n",
 951       "SEX            -0.013  -0.025 \n",
 952       "PNEUMONIA       0.002   0.129 \n",
 953       "AGE             0.001   3.202 \n",
 954       "PREGNANT        0.000   0.000 \n",
 955       "DIABETES        0.001   0.046 \n",
 956       "COPD            0.002   0.006 \n",
 957       "ASTHMA          0.000  -0.001 \n",
 958       "INMSUPR         0.000   0.003 \n",
 959       "HIPERTENSION    0.001   0.047 \n",
 960       "OTHER_DISEASE   0.001   0.005 \n",
 961       "CARDIOVASCULAR  0.001   0.006 \n",
 962       "OBESITY         0.007   0.014 \n",
 963       "RENAL_CHRONIC   0.000  -0.009 \n",
 964       "TOBACCO         0.068   0.001 \n",
 965       "AT_RISK         0.001   0.207 "
 966      ]
 967     },
 968     "metadata": {},
 969     "output_type": "display_data"
 970    }
 971   ],
 972   "source": [
 973    "cov_matrix = cov(df)\n",
 974    "round(cov_matrix, 3)"
 975   ]
 976  },
 977  {
 978   "cell_type": "markdown",
 979   "id": "dd131404-1a8b-4af5-b919-26e3710ca2c4",
 980   "metadata": {},
 981   "source": [
 982    "We can scan the `AT_RISK` row horizontally and find out that the highest values lie in the intersections with the `AGE` and `PNEUMONIA` columns.\n",
 983    "Also, the `AGE` column has the highest value for variance, since it's the only numerical variable.\n",
 984    "\n",
 985    "Let's now use the `corrplot` function as a way to visualize the correlation matrix.\n",
 986    "\n",
 987    "We can use the `method` parameter of the `cor()` function to define which correlation coefficient (or covariance) should be computed. Some choices are:\n",
 988    "* Pearson's product-moment correlation coefficient ($r$),\n",
 989    "* Kendall's rank correlation coefficient ($\\tau$),\n",
 990    "* Spearman's rank correlation coefficient ($\\rho$).\n",
 991    "\n",
 992    "We can also use the `order` parameter of the `corrplot()` function to indicate how to reorder the correlation matrix, in particular:\n",
 993    "* `AOE` for the angular order of the eigenvectors,\n",
 994    "* `FPC` for the first principal component order,\n",
 995    "* `hclust` for hierarchical clustering order,\n",
 996    "* `alphabet` for alphabetical order."
 997   ]
 998  },
 999  {
1000   "cell_type": "code",
1001   "execution_count": 16,
1002   "id": "e8e68a00-ca48-47ee-84ff-7aefdb2cd65f",
1003   "metadata": {
1004    "vscode": {
1005     "languageId": "r"
1006    }
1007   },
1008   "outputs": [
1009    {
1010     "data": {
1011      "image/png": 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",
1012      "text/plain": [
1013       "Plot with title “”"
1014      ]
1015     },
1016     "metadata": {
1017      "image/png": {
1018       "height": 420,
1019       "width": 420
1020      }
1021     },
1022     "output_type": "display_data"
1023    }
1024   ],
1025   "source": [
1026    "cor_matrix = cor(df,\n",
1027    "    method=\"pearson\" # {\"pearson\", \"kendall\", \"spearman\"}\n",
1028    ")\n",
1029    "\n",
1030    "corrplot(cor_matrix,\n",
1031    "    type=\"lower\",\n",
1032    "    addgrid.col = 'white',\n",
1033    "    #addCoef.col = col.green, # coefficient text color\n",
1034    "    #number.cex=0.70, # coefficient text size\n",
1035    "    method=\"color\", # make only colored squares\n",
1036    "    order=\"FPC\", # {\"AOE\", \"FPC\", \"hclust\", \"alphabet\"}\n",
1037    "    tl.col=\"black\", # text-label color\n",
1038    "    col=COL2(\"PRGn\") # color scheme\n",
1039    ")"
1040   ]
1041  },
1042  {
1043   "cell_type": "markdown",
1044   "id": "a6a3d62e-766a-432b-856e-f3ca71de4552",
1045   "metadata": {},
1046   "source": [
1047    "With this visualization, it's easy to distinguish some _positive correlations_ by looking at the first column:\n",
1048    "* between `AT_RISK` and `PNEUMONIA`;\n",
1049    "* between `AT_RISK` and `AGE`;\n",
1050    "* in general, between `AGE` and various diseases."
1051   ]
1052  },
1053  {
1054   "cell_type": "markdown",
1055   "id": "29b02e61-23cb-4aa3-a5a6-055864d31535",
1056   "metadata": {},
1057   "source": [
1058    "## Step 3: Unsupervised Learning\n",
1059    "### PCA\n",
1060    "We can use the `prcomp` function to perform principal component analysis. However, it quickly becomes very slow for datasets with a big number of rows.\n",
1061    "\n",
1062    "To solve this, we can use the `sample()` function to take a random subset of 10.000 elements."
1063   ]
1064  },
1065  {
1066   "cell_type": "code",
1067   "execution_count": 17,
1068   "id": "8d9fe71e-5da4-42c3-9c71-b0891c0731bb",
1069   "metadata": {
1070    "vscode": {
1071     "languageId": "r"
1072    }
1073   },
1074   "outputs": [],
1075   "source": [
1076    "set.seed(2)\n",
1077    "ss = sample(1:nrow(df), 10000) # take 10.000 random rows\n",
1078    "df.subset = df[ss,] # select only those rows from our dataframe"
1079   ]
1080  },
1081  {
1082   "cell_type": "markdown",
1083   "id": "f15d499b-9226-4504-88d8-7880e57dd4cc",
1084   "metadata": {},
1085   "source": [
1086    "Now we can use the `scale()` function to scale our subset, then `prcomp` to make our PCA."
1087   ]
1088  },
1089  {
1090   "cell_type": "code",
1091   "execution_count": 18,
1092   "id": "0d36719a-2016-4762-bdd0-65cb52a6db79",
1093   "metadata": {
1094    "vscode": {
1095     "languageId": "r"
1096    }
1097   },
1098   "outputs": [
1099    {
1100     "data": {
1101      "text/html": [
1102       "<style>\n",
1103       ".list-inline {list-style: none; margin:0; padding: 0}\n",
1104       ".list-inline>li {display: inline-block}\n",
1105       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
1106       "</style>\n",
1107       "<ol class=list-inline><li>'sdev'</li><li>'rotation'</li><li>'center'</li><li>'scale'</li><li>'x'</li></ol>\n"
1108      ],
1109      "text/latex": [
1110       "\\begin{enumerate*}\n",
1111       "\\item 'sdev'\n",
1112       "\\item 'rotation'\n",
1113       "\\item 'center'\n",
1114       "\\item 'scale'\n",
1115       "\\item 'x'\n",
1116       "\\end{enumerate*}\n"
1117      ],
1118      "text/markdown": [
1119       "1. 'sdev'\n",
1120       "2. 'rotation'\n",
1121       "3. 'center'\n",
1122       "4. 'scale'\n",
1123       "5. 'x'\n",
1124       "\n",
1125       "\n"
1126      ],
1127      "text/plain": [
1128       "[1] \"sdev\"     \"rotation\" \"center\"   \"scale\"    \"x\"       "
1129      ]
1130     },
1131     "metadata": {},
1132     "output_type": "display_data"
1133    }
1134   ],
1135   "source": [
1136    "df.scaled = scale(df.subset) # scale our subset\n",
1137    "pca = prcomp(df.scaled)\n",
1138    "\n",
1139    "names(pca)"
1140   ]
1141  },
1142  {
1143   "cell_type": "markdown",
1144   "id": "94b9b7bd-a8d3-4e71-a5e2-5a40bbb17bd4",
1145   "metadata": {},
1146   "source": [
1147    "We can quickly visualize the first two principal components by creating a biplot with this function:"
1148   ]
1149  },
1150  {
1151   "cell_type": "code",
1152   "execution_count": 19,
1153   "id": "81cf5444-c469-4797-a2dc-e18e45d7add5",
1154   "metadata": {
1155    "vscode": {
1156     "languageId": "r"
1157    }
1158   },
1159   "outputs": [
1160    {
1161     "data": {
1162      "image/png": 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",
1163      "text/plain": [
1164       "plot without title"
1165      ]
1166     },
1167     "metadata": {
1168      "image/png": {
1169       "height": 420,
1170       "width": 420
1171      }
1172     },
1173     "output_type": "display_data"
1174    }
1175   ],
1176   "source": [
1177    "range = 1\n",
1178    "x.start = -0.1\n",
1179    "y.start = -0.5\n",
1180    "\n",
1181    "biplot(pca,\n",
1182    "       expand=20,\n",
1183    "       xlim=c(x.start, (x.start + range)),\n",
1184    "       ylim=c(y.start, (y.start + range)))"
1185   ]
1186  },
1187  {
1188   "cell_type": "markdown",
1189   "id": "2eb56d5b-a51a-413d-9f52-9086055f1166",
1190   "metadata": {},
1191   "source": [
1192    "Keep in mind, I used the `expand` parameter to zoom in the pictures, so there are some samples that are not visible in this plot.\n",
1193    "\n",
1194    "However, this graph makes it clear how the first PC is almost completely governed by `AGE`'s variability.\n",
1195    "\n",
1196    "* As we move towards increasing `AGE`, we also see an increase for `AT_RISK`;\n",
1197    "* The same goes for `PNEUMONIA`, in an even greater measure.\n",
1198    "\n",
1199    "We can check out the `rotation` matrix to see that PC1 has big values for `AGE`, `PNEUMONIA` and `AT_RISK`.\n",
1200    "\n",
1201    "These are the eigenvectors "
1202   ]
1203  },
1204  {
1205   "cell_type": "code",
1206   "execution_count": 20,
1207   "id": "2fd9457e-db2d-4a71-8878-db7d7c332416",
1208   "metadata": {
1209    "vscode": {
1210     "languageId": "r"
1211    }
1212   },
1213   "outputs": [
1214    {
1215     "data": {
1216      "text/html": [
1217       "<table class=\"dataframe\">\n",
1218       "<caption>A matrix: 15 × 15 of type dbl</caption>\n",
1219       "<thead>\n",
1220       "\t<tr><th></th><th scope=col>PC1</th><th scope=col>PC2</th><th scope=col>PC3</th><th scope=col>PC4</th><th scope=col>PC5</th><th scope=col>PC6</th><th scope=col>PC7</th><th scope=col>PC8</th><th scope=col>PC9</th><th scope=col>PC10</th><th scope=col>PC11</th><th scope=col>PC12</th><th scope=col>PC13</th><th scope=col>PC14</th><th scope=col>PC15</th></tr>\n",
1221       "</thead>\n",
1222       "<tbody>\n",
1223       "\t<tr><th scope=row>SEX</th><td>-0.065475537</td><td> 0.426351367</td><td>-0.37769519</td><td> 0.26515956</td><td> 0.232970839</td><td> 0.045771961</td><td> 0.25537192</td><td>-0.07484843</td><td> 0.25368812</td><td> 0.28213088</td><td>-0.43166984</td><td>-0.37556134</td><td> 0.02969184</td><td>-0.022522082</td><td>-0.0325132403</td></tr>\n",
1224       "\t<tr><th scope=row>PNEUMONIA</th><td> 0.428334895</td><td>-0.358556764</td><td>-0.18793277</td><td>-0.10532340</td><td> 0.245056054</td><td> 0.083046629</td><td>-0.10778804</td><td>-0.03384113</td><td>-0.02082018</td><td>-0.02861701</td><td>-0.25594473</td><td>-0.04860265</td><td> 0.09659994</td><td>-0.226054575</td><td> 0.6574855652</td></tr>\n",
1225       "\t<tr><th scope=row>AGE</th><td> 0.425033270</td><td>-0.054395110</td><td> 0.01434897</td><td> 0.15953241</td><td>-0.006506965</td><td>-0.038902290</td><td> 0.18497774</td><td>-0.14918872</td><td> 0.10210436</td><td> 0.03191891</td><td> 0.20655457</td><td>-0.12131873</td><td>-0.43583162</td><td> 0.676816393</td><td> 0.1258764020</td></tr>\n",
1226       "\t<tr><th scope=row>PREGNANT</th><td>-0.051110559</td><td> 0.186686556</td><td>-0.37278634</td><td> 0.03756730</td><td> 0.555519688</td><td>-0.253599105</td><td>-0.24087832</td><td> 0.47312294</td><td>-0.06022703</td><td>-0.12269556</td><td> 0.33567339</td><td> 0.14614751</td><td>-0.06511354</td><td> 0.099560404</td><td> 0.0224344573</td></tr>\n",
1227       "\t<tr><th scope=row>DIABETES</th><td> 0.362534735</td><td> 0.158596021</td><td> 0.03918978</td><td> 0.23971147</td><td>-0.153345180</td><td> 0.063341488</td><td>-0.02211305</td><td> 0.09281797</td><td> 0.09558067</td><td> 0.16748692</td><td> 0.33957599</td><td>-0.02232894</td><td> 0.76252238</td><td> 0.114085598</td><td> 0.0182626960</td></tr>\n",
1228       "\t<tr><th scope=row>COPD</th><td> 0.175990849</td><td> 0.212420213</td><td> 0.20531228</td><td>-0.16668667</td><td> 0.210932029</td><td>-0.485640115</td><td> 0.23008251</td><td>-0.29620791</td><td> 0.36513186</td><td>-0.09699256</td><td>-0.13002564</td><td> 0.50895217</td><td> 0.09812794</td><td>-0.068034791</td><td>-0.0050919606</td></tr>\n",
1229       "\t<tr><th scope=row>ASTHMA</th><td> 0.007739916</td><td> 0.346889205</td><td> 0.03590655</td><td>-0.06935040</td><td> 0.249092737</td><td> 0.327722314</td><td>-0.51349661</td><td>-0.60904742</td><td>-0.15962579</td><td> 0.11776153</td><td> 0.14026481</td><td> 0.08747732</td><td>-0.04383208</td><td> 0.027160831</td><td> 0.0104377177</td></tr>\n",
1230       "\t<tr><th scope=row>INMSUPR</th><td> 0.079436163</td><td> 0.227740047</td><td>-0.28081368</td><td>-0.51229741</td><td>-0.266071477</td><td> 0.211081752</td><td>-0.07838967</td><td> 0.03604258</td><td> 0.47471202</td><td>-0.44255296</td><td> 0.13082010</td><td>-0.19797585</td><td>-0.01356665</td><td>-0.001766035</td><td> 0.0050730204</td></tr>\n",
1231       "\t<tr><th scope=row>HIPERTENSION</th><td> 0.379829904</td><td> 0.258177587</td><td> 0.10057429</td><td> 0.27295676</td><td>-0.161291637</td><td> 0.001906995</td><td> 0.02437790</td><td> 0.10800334</td><td> 0.04105158</td><td> 0.07336555</td><td> 0.27859000</td><td>-0.01799374</td><td>-0.42081750</td><td>-0.635599936</td><td>-0.0098396727</td></tr>\n",
1232       "\t<tr><th scope=row>OTHER_DISEASE</th><td> 0.103721651</td><td> 0.150202420</td><td>-0.24975286</td><td>-0.50869242</td><td>-0.030664995</td><td> 0.179582884</td><td> 0.48219338</td><td> 0.05196526</td><td>-0.39084899</td><td> 0.38990562</td><td> 0.14580216</td><td> 0.22507650</td><td>-0.01452712</td><td>-0.012542088</td><td> 0.0077473695</td></tr>\n",
1233       "\t<tr><th scope=row>CARDIOVASCULAR</th><td> 0.186407120</td><td> 0.329394247</td><td> 0.20298288</td><td>-0.13574473</td><td> 0.020025843</td><td>-0.338266208</td><td> 0.06761663</td><td>-0.04357151</td><td>-0.54859254</td><td>-0.38646744</td><td>-0.12330444</td><td>-0.44539027</td><td> 0.10741632</td><td> 0.015314517</td><td> 0.0129401604</td></tr>\n",
1234       "\t<tr><th scope=row>OBESITY</th><td> 0.128941938</td><td> 0.245445282</td><td> 0.32261751</td><td> 0.13056500</td><td> 0.167125812</td><td> 0.573973241</td><td> 0.12553275</td><td> 0.34875365</td><td>-0.04488349</td><td>-0.30508583</td><td>-0.31521355</td><td> 0.30613109</td><td>-0.02134261</td><td> 0.136419375</td><td> 0.0019854715</td></tr>\n",
1235       "\t<tr><th scope=row>RENAL_CHRONIC</th><td>-0.185649894</td><td>-0.222070697</td><td> 0.11352702</td><td> 0.07985949</td><td> 0.446415197</td><td> 0.231964144</td><td> 0.47526622</td><td>-0.24675710</td><td> 0.07138256</td><td>-0.27412335</td><td> 0.42490377</td><td>-0.22463673</td><td> 0.10183306</td><td>-0.186636919</td><td>-0.0253889431</td></tr>\n",
1236       "\t<tr><th scope=row>TOBACCO</th><td> 0.015888692</td><td> 0.006921542</td><td> 0.54885267</td><td>-0.39547679</td><td> 0.280932988</td><td>-0.009116548</td><td>-0.13355056</td><td> 0.28036832</td><td> 0.25386155</td><td> 0.42492505</td><td> 0.02717169</td><td>-0.34454606</td><td>-0.04340919</td><td> 0.016373622</td><td>-0.0004183939</td></tr>\n",
1237       "\t<tr><th scope=row>AT_RISK</th><td> 0.468061397</td><td>-0.319459660</td><td>-0.16466350</td><td>-0.08777646</td><td> 0.206596440</td><td> 0.057904835</td><td>-0.10260693</td><td>-0.03419955</td><td>-0.03016305</td><td>-0.02795786</td><td>-0.17055687</td><td>-0.04348488</td><td> 0.02960730</td><td>-0.062637832</td><td>-0.7408375716</td></tr>\n",
1238       "</tbody>\n",
1239       "</table>\n"
1240      ],
1241      "text/latex": [
1242       "A matrix: 15 × 15 of type dbl\n",
1243       "\\begin{tabular}{r|lllllllllllllll}\n",
1244       "  & PC1 & PC2 & PC3 & PC4 & PC5 & PC6 & PC7 & PC8 & PC9 & PC10 & PC11 & PC12 & PC13 & PC14 & PC15\\\\\n",
1245       "\\hline\n",
1246       "\tSEX & -0.065475537 &  0.426351367 & -0.37769519 &  0.26515956 &  0.232970839 &  0.045771961 &  0.25537192 & -0.07484843 &  0.25368812 &  0.28213088 & -0.43166984 & -0.37556134 &  0.02969184 & -0.022522082 & -0.0325132403\\\\\n",
1247       "\tPNEUMONIA &  0.428334895 & -0.358556764 & -0.18793277 & -0.10532340 &  0.245056054 &  0.083046629 & -0.10778804 & -0.03384113 & -0.02082018 & -0.02861701 & -0.25594473 & -0.04860265 &  0.09659994 & -0.226054575 &  0.6574855652\\\\\n",
1248       "\tAGE &  0.425033270 & -0.054395110 &  0.01434897 &  0.15953241 & -0.006506965 & -0.038902290 &  0.18497774 & -0.14918872 &  0.10210436 &  0.03191891 &  0.20655457 & -0.12131873 & -0.43583162 &  0.676816393 &  0.1258764020\\\\\n",
1249       "\tPREGNANT & -0.051110559 &  0.186686556 & -0.37278634 &  0.03756730 &  0.555519688 & -0.253599105 & -0.24087832 &  0.47312294 & -0.06022703 & -0.12269556 &  0.33567339 &  0.14614751 & -0.06511354 &  0.099560404 &  0.0224344573\\\\\n",
1250       "\tDIABETES &  0.362534735 &  0.158596021 &  0.03918978 &  0.23971147 & -0.153345180 &  0.063341488 & -0.02211305 &  0.09281797 &  0.09558067 &  0.16748692 &  0.33957599 & -0.02232894 &  0.76252238 &  0.114085598 &  0.0182626960\\\\\n",
1251       "\tCOPD &  0.175990849 &  0.212420213 &  0.20531228 & -0.16668667 &  0.210932029 & -0.485640115 &  0.23008251 & -0.29620791 &  0.36513186 & -0.09699256 & -0.13002564 &  0.50895217 &  0.09812794 & -0.068034791 & -0.0050919606\\\\\n",
1252       "\tASTHMA &  0.007739916 &  0.346889205 &  0.03590655 & -0.06935040 &  0.249092737 &  0.327722314 & -0.51349661 & -0.60904742 & -0.15962579 &  0.11776153 &  0.14026481 &  0.08747732 & -0.04383208 &  0.027160831 &  0.0104377177\\\\\n",
1253       "\tINMSUPR &  0.079436163 &  0.227740047 & -0.28081368 & -0.51229741 & -0.266071477 &  0.211081752 & -0.07838967 &  0.03604258 &  0.47471202 & -0.44255296 &  0.13082010 & -0.19797585 & -0.01356665 & -0.001766035 &  0.0050730204\\\\\n",
1254       "\tHIPERTENSION &  0.379829904 &  0.258177587 &  0.10057429 &  0.27295676 & -0.161291637 &  0.001906995 &  0.02437790 &  0.10800334 &  0.04105158 &  0.07336555 &  0.27859000 & -0.01799374 & -0.42081750 & -0.635599936 & -0.0098396727\\\\\n",
1255       "\tOTHER\\_DISEASE &  0.103721651 &  0.150202420 & -0.24975286 & -0.50869242 & -0.030664995 &  0.179582884 &  0.48219338 &  0.05196526 & -0.39084899 &  0.38990562 &  0.14580216 &  0.22507650 & -0.01452712 & -0.012542088 &  0.0077473695\\\\\n",
1256       "\tCARDIOVASCULAR &  0.186407120 &  0.329394247 &  0.20298288 & -0.13574473 &  0.020025843 & -0.338266208 &  0.06761663 & -0.04357151 & -0.54859254 & -0.38646744 & -0.12330444 & -0.44539027 &  0.10741632 &  0.015314517 &  0.0129401604\\\\\n",
1257       "\tOBESITY &  0.128941938 &  0.245445282 &  0.32261751 &  0.13056500 &  0.167125812 &  0.573973241 &  0.12553275 &  0.34875365 & -0.04488349 & -0.30508583 & -0.31521355 &  0.30613109 & -0.02134261 &  0.136419375 &  0.0019854715\\\\\n",
1258       "\tRENAL\\_CHRONIC & -0.185649894 & -0.222070697 &  0.11352702 &  0.07985949 &  0.446415197 &  0.231964144 &  0.47526622 & -0.24675710 &  0.07138256 & -0.27412335 &  0.42490377 & -0.22463673 &  0.10183306 & -0.186636919 & -0.0253889431\\\\\n",
1259       "\tTOBACCO &  0.015888692 &  0.006921542 &  0.54885267 & -0.39547679 &  0.280932988 & -0.009116548 & -0.13355056 &  0.28036832 &  0.25386155 &  0.42492505 &  0.02717169 & -0.34454606 & -0.04340919 &  0.016373622 & -0.0004183939\\\\\n",
1260       "\tAT\\_RISK &  0.468061397 & -0.319459660 & -0.16466350 & -0.08777646 &  0.206596440 &  0.057904835 & -0.10260693 & -0.03419955 & -0.03016305 & -0.02795786 & -0.17055687 & -0.04348488 &  0.02960730 & -0.062637832 & -0.7408375716\\\\\n",
1261       "\\end{tabular}\n"
1262      ],
1263      "text/markdown": [
1264       "\n",
1265       "A matrix: 15 × 15 of type dbl\n",
1266       "\n",
1267       "| <!--/--> | PC1 | PC2 | PC3 | PC4 | PC5 | PC6 | PC7 | PC8 | PC9 | PC10 | PC11 | PC12 | PC13 | PC14 | PC15 |\n",
1268       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
1269       "| SEX | -0.065475537 |  0.426351367 | -0.37769519 |  0.26515956 |  0.232970839 |  0.045771961 |  0.25537192 | -0.07484843 |  0.25368812 |  0.28213088 | -0.43166984 | -0.37556134 |  0.02969184 | -0.022522082 | -0.0325132403 |\n",
1270       "| PNEUMONIA |  0.428334895 | -0.358556764 | -0.18793277 | -0.10532340 |  0.245056054 |  0.083046629 | -0.10778804 | -0.03384113 | -0.02082018 | -0.02861701 | -0.25594473 | -0.04860265 |  0.09659994 | -0.226054575 |  0.6574855652 |\n",
1271       "| AGE |  0.425033270 | -0.054395110 |  0.01434897 |  0.15953241 | -0.006506965 | -0.038902290 |  0.18497774 | -0.14918872 |  0.10210436 |  0.03191891 |  0.20655457 | -0.12131873 | -0.43583162 |  0.676816393 |  0.1258764020 |\n",
1272       "| PREGNANT | -0.051110559 |  0.186686556 | -0.37278634 |  0.03756730 |  0.555519688 | -0.253599105 | -0.24087832 |  0.47312294 | -0.06022703 | -0.12269556 |  0.33567339 |  0.14614751 | -0.06511354 |  0.099560404 |  0.0224344573 |\n",
1273       "| DIABETES |  0.362534735 |  0.158596021 |  0.03918978 |  0.23971147 | -0.153345180 |  0.063341488 | -0.02211305 |  0.09281797 |  0.09558067 |  0.16748692 |  0.33957599 | -0.02232894 |  0.76252238 |  0.114085598 |  0.0182626960 |\n",
1274       "| COPD |  0.175990849 |  0.212420213 |  0.20531228 | -0.16668667 |  0.210932029 | -0.485640115 |  0.23008251 | -0.29620791 |  0.36513186 | -0.09699256 | -0.13002564 |  0.50895217 |  0.09812794 | -0.068034791 | -0.0050919606 |\n",
1275       "| ASTHMA |  0.007739916 |  0.346889205 |  0.03590655 | -0.06935040 |  0.249092737 |  0.327722314 | -0.51349661 | -0.60904742 | -0.15962579 |  0.11776153 |  0.14026481 |  0.08747732 | -0.04383208 |  0.027160831 |  0.0104377177 |\n",
1276       "| INMSUPR |  0.079436163 |  0.227740047 | -0.28081368 | -0.51229741 | -0.266071477 |  0.211081752 | -0.07838967 |  0.03604258 |  0.47471202 | -0.44255296 |  0.13082010 | -0.19797585 | -0.01356665 | -0.001766035 |  0.0050730204 |\n",
1277       "| HIPERTENSION |  0.379829904 |  0.258177587 |  0.10057429 |  0.27295676 | -0.161291637 |  0.001906995 |  0.02437790 |  0.10800334 |  0.04105158 |  0.07336555 |  0.27859000 | -0.01799374 | -0.42081750 | -0.635599936 | -0.0098396727 |\n",
1278       "| OTHER_DISEASE |  0.103721651 |  0.150202420 | -0.24975286 | -0.50869242 | -0.030664995 |  0.179582884 |  0.48219338 |  0.05196526 | -0.39084899 |  0.38990562 |  0.14580216 |  0.22507650 | -0.01452712 | -0.012542088 |  0.0077473695 |\n",
1279       "| CARDIOVASCULAR |  0.186407120 |  0.329394247 |  0.20298288 | -0.13574473 |  0.020025843 | -0.338266208 |  0.06761663 | -0.04357151 | -0.54859254 | -0.38646744 | -0.12330444 | -0.44539027 |  0.10741632 |  0.015314517 |  0.0129401604 |\n",
1280       "| OBESITY |  0.128941938 |  0.245445282 |  0.32261751 |  0.13056500 |  0.167125812 |  0.573973241 |  0.12553275 |  0.34875365 | -0.04488349 | -0.30508583 | -0.31521355 |  0.30613109 | -0.02134261 |  0.136419375 |  0.0019854715 |\n",
1281       "| RENAL_CHRONIC | -0.185649894 | -0.222070697 |  0.11352702 |  0.07985949 |  0.446415197 |  0.231964144 |  0.47526622 | -0.24675710 |  0.07138256 | -0.27412335 |  0.42490377 | -0.22463673 |  0.10183306 | -0.186636919 | -0.0253889431 |\n",
1282       "| TOBACCO |  0.015888692 |  0.006921542 |  0.54885267 | -0.39547679 |  0.280932988 | -0.009116548 | -0.13355056 |  0.28036832 |  0.25386155 |  0.42492505 |  0.02717169 | -0.34454606 | -0.04340919 |  0.016373622 | -0.0004183939 |\n",
1283       "| AT_RISK |  0.468061397 | -0.319459660 | -0.16466350 | -0.08777646 |  0.206596440 |  0.057904835 | -0.10260693 | -0.03419955 | -0.03016305 | -0.02795786 | -0.17055687 | -0.04348488 |  0.02960730 | -0.062637832 | -0.7408375716 |\n",
1284       "\n"
1285      ],
1286      "text/plain": [
1287       "               PC1          PC2          PC3         PC4         PC5         \n",
1288       "SEX            -0.065475537  0.426351367 -0.37769519  0.26515956  0.232970839\n",
1289       "PNEUMONIA       0.428334895 -0.358556764 -0.18793277 -0.10532340  0.245056054\n",
1290       "AGE             0.425033270 -0.054395110  0.01434897  0.15953241 -0.006506965\n",
1291       "PREGNANT       -0.051110559  0.186686556 -0.37278634  0.03756730  0.555519688\n",
1292       "DIABETES        0.362534735  0.158596021  0.03918978  0.23971147 -0.153345180\n",
1293       "COPD            0.175990849  0.212420213  0.20531228 -0.16668667  0.210932029\n",
1294       "ASTHMA          0.007739916  0.346889205  0.03590655 -0.06935040  0.249092737\n",
1295       "INMSUPR         0.079436163  0.227740047 -0.28081368 -0.51229741 -0.266071477\n",
1296       "HIPERTENSION    0.379829904  0.258177587  0.10057429  0.27295676 -0.161291637\n",
1297       "OTHER_DISEASE   0.103721651  0.150202420 -0.24975286 -0.50869242 -0.030664995\n",
1298       "CARDIOVASCULAR  0.186407120  0.329394247  0.20298288 -0.13574473  0.020025843\n",
1299       "OBESITY         0.128941938  0.245445282  0.32261751  0.13056500  0.167125812\n",
1300       "RENAL_CHRONIC  -0.185649894 -0.222070697  0.11352702  0.07985949  0.446415197\n",
1301       "TOBACCO         0.015888692  0.006921542  0.54885267 -0.39547679  0.280932988\n",
1302       "AT_RISK         0.468061397 -0.319459660 -0.16466350 -0.08777646  0.206596440\n",
1303       "               PC6          PC7         PC8         PC9         PC10       \n",
1304       "SEX             0.045771961  0.25537192 -0.07484843  0.25368812  0.28213088\n",
1305       "PNEUMONIA       0.083046629 -0.10778804 -0.03384113 -0.02082018 -0.02861701\n",
1306       "AGE            -0.038902290  0.18497774 -0.14918872  0.10210436  0.03191891\n",
1307       "PREGNANT       -0.253599105 -0.24087832  0.47312294 -0.06022703 -0.12269556\n",
1308       "DIABETES        0.063341488 -0.02211305  0.09281797  0.09558067  0.16748692\n",
1309       "COPD           -0.485640115  0.23008251 -0.29620791  0.36513186 -0.09699256\n",
1310       "ASTHMA          0.327722314 -0.51349661 -0.60904742 -0.15962579  0.11776153\n",
1311       "INMSUPR         0.211081752 -0.07838967  0.03604258  0.47471202 -0.44255296\n",
1312       "HIPERTENSION    0.001906995  0.02437790  0.10800334  0.04105158  0.07336555\n",
1313       "OTHER_DISEASE   0.179582884  0.48219338  0.05196526 -0.39084899  0.38990562\n",
1314       "CARDIOVASCULAR -0.338266208  0.06761663 -0.04357151 -0.54859254 -0.38646744\n",
1315       "OBESITY         0.573973241  0.12553275  0.34875365 -0.04488349 -0.30508583\n",
1316       "RENAL_CHRONIC   0.231964144  0.47526622 -0.24675710  0.07138256 -0.27412335\n",
1317       "TOBACCO        -0.009116548 -0.13355056  0.28036832  0.25386155  0.42492505\n",
1318       "AT_RISK         0.057904835 -0.10260693 -0.03419955 -0.03016305 -0.02795786\n",
1319       "               PC11        PC12        PC13        PC14         PC15         \n",
1320       "SEX            -0.43166984 -0.37556134  0.02969184 -0.022522082 -0.0325132403\n",
1321       "PNEUMONIA      -0.25594473 -0.04860265  0.09659994 -0.226054575  0.6574855652\n",
1322       "AGE             0.20655457 -0.12131873 -0.43583162  0.676816393  0.1258764020\n",
1323       "PREGNANT        0.33567339  0.14614751 -0.06511354  0.099560404  0.0224344573\n",
1324       "DIABETES        0.33957599 -0.02232894  0.76252238  0.114085598  0.0182626960\n",
1325       "COPD           -0.13002564  0.50895217  0.09812794 -0.068034791 -0.0050919606\n",
1326       "ASTHMA          0.14026481  0.08747732 -0.04383208  0.027160831  0.0104377177\n",
1327       "INMSUPR         0.13082010 -0.19797585 -0.01356665 -0.001766035  0.0050730204\n",
1328       "HIPERTENSION    0.27859000 -0.01799374 -0.42081750 -0.635599936 -0.0098396727\n",
1329       "OTHER_DISEASE   0.14580216  0.22507650 -0.01452712 -0.012542088  0.0077473695\n",
1330       "CARDIOVASCULAR -0.12330444 -0.44539027  0.10741632  0.015314517  0.0129401604\n",
1331       "OBESITY        -0.31521355  0.30613109 -0.02134261  0.136419375  0.0019854715\n",
1332       "RENAL_CHRONIC   0.42490377 -0.22463673  0.10183306 -0.186636919 -0.0253889431\n",
1333       "TOBACCO         0.02717169 -0.34454606 -0.04340919  0.016373622 -0.0004183939\n",
1334       "AT_RISK        -0.17055687 -0.04348488  0.02960730 -0.062637832 -0.7408375716"
1335      ]
1336     },
1337     "metadata": {},
1338     "output_type": "display_data"
1339    }
1340   ],
1341   "source": [
1342    "pca$rotation"
1343   ]
1344  },
1345  {
1346   "cell_type": "code",
1347   "execution_count": 21,
1348   "id": "c0c24907-e304-454d-b842-bbced31737df",
1349   "metadata": {
1350    "vscode": {
1351     "languageId": "r"
1352    }
1353   },
1354   "outputs": [
1355    {
1356     "data": {
1357      "image/png": 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",
1358      "text/plain": [
1359       "plot without title"
1360      ]
1361     },
1362     "metadata": {
1363      "image/png": {
1364       "height": 420,
1365       "width": 420
1366      }
1367     },
1368     "output_type": "display_data"
1369    }
1370   ],
1371   "source": [
1372    "pca_scores = data.frame(pca$x[,1:2])\n",
1373    "plot(pca_scores)"
1374   ]
1375  },
1376  {
1377   "cell_type": "code",
1378   "execution_count": 22,
1379   "id": "0700641b-65f0-4c38-a9bf-ed120647d1c6",
1380   "metadata": {
1381    "vscode": {
1382     "languageId": "r"
1383    }
1384   },
1385   "outputs": [
1386    {
1387     "data": {
1388      "image/png": 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",
1389      "text/plain": [
1390       "plot without title"
1391      ]
1392     },
1393     "metadata": {
1394      "image/png": {
1395       "height": 420,
1396       "width": 420
1397      }
1398     },
1399     "output_type": "display_data"
1400    }
1401   ],
1402   "source": [
1403    "data = pca$x[,1:2]\n",
1404    "# K means is not suitable for factor variables because\n",
1405    "# it is based on the distance and discrete values\n",
1406    "# do not return meaningful values. \n",
1407    "\n",
1408    "# K-Means Clustering with k clusters\n",
1409    "k = 2\n",
1410    "fit <- kmeans(data, k)\n",
1411    "pairs(data, col=c(1:k)[fit$cluster])"
1412   ]
1413  },
1414  {
1415   "cell_type": "markdown",
1416   "id": "d6331683-5468-4682-bd52-98860b00b25a",
1417   "metadata": {},
1418   "source": [
1419    "## Step 4: Supervised Learning\n",
1420    "### Logistic Regression"
1421   ]
1422  },
1423  {
1424   "cell_type": "code",
1425   "execution_count": 23,
1426   "id": "353e7f98-d03a-468d-99e7-828e1ff8c476",
1427   "metadata": {
1428    "vscode": {
1429     "languageId": "r"
1430    }
1431   },
1432   "outputs": [],
1433   "source": [
1434    "set.seed(2)\n",
1435    "train.percent = 0.8\n",
1436    "\n",
1437    "s = sample(c(TRUE, FALSE), nrow(df), replace=TRUE, prob=c(train.percent, (1 - train.percent)))\n",
1438    "\n",
1439    "train = df[s,]\n",
1440    "test = df[!s,]\n",
1441    "\n",
1442    "l = length(train)\n",
1443    "\n",
1444    "X_train = train[,1:(length(train)-1)]\n",
1445    "y_train = train$AT_RISK\n",
1446    "\n",
1447    "X_test = test[,1:(length(test)-1)]\n",
1448    "y_test = test$AT_RISK"
1449   ]
1450  },
1451  {
1452   "cell_type": "code",
1453   "execution_count": 24,
1454   "id": "faf29d8f-762c-4f95-8f70-cfccd4a99eae",
1455   "metadata": {
1456    "vscode": {
1457     "languageId": "r"
1458    }
1459   },
1460   "outputs": [
1461    {
1462     "data": {
1463      "text/plain": [
1464       "\n",
1465       "Call:\n",
1466       "glm(formula = y_train ~ ., family = binomial, data = X_train)\n",
1467       "\n",
1468       "Deviance Residuals: \n",
1469       "    Min       1Q   Median       3Q      Max  \n",
1470       "-3.5690  -0.4856  -0.3336   0.2712   3.1002  \n",
1471       "\n",
1472       "Coefficients:\n",
1473       "                 Estimate Std. Error z value Pr(>|z|)    \n",
1474       "(Intercept)    -1.9615652  0.0793765 -24.712  < 2e-16 ***\n",
1475       "SEX            -0.4799111  0.0120138 -39.947  < 2e-16 ***\n",
1476       "PNEUMONIA       3.7351540  0.0146266 255.368  < 2e-16 ***\n",
1477       "AGE             0.0478965  0.0004166 114.969  < 2e-16 ***\n",
1478       "PREGNANT        1.6461797  0.0594691  27.681  < 2e-16 ***\n",
1479       "DIABETES        0.5910326  0.0154400  38.279  < 2e-16 ***\n",
1480       "COPD            0.4011124  0.0430199   9.324  < 2e-16 ***\n",
1481       "ASTHMA         -0.1473584  0.0378735  -3.891 9.99e-05 ***\n",
1482       "INMSUPR         0.6642928  0.0482274  13.774  < 2e-16 ***\n",
1483       "HIPERTENSION    0.2566937  0.0150923  17.008  < 2e-16 ***\n",
1484       "OTHER_DISEASE   0.8016977  0.0328350  24.416  < 2e-16 ***\n",
1485       "CARDIOVASCULAR  0.0979876  0.0367507   2.666  0.00767 ** \n",
1486       "OBESITY         0.1459514  0.0146886   9.936  < 2e-16 ***\n",
1487       "RENAL_CHRONIC  -1.1197986  0.0386498 -28.973  < 2e-16 ***\n",
1488       "TOBACCO        -0.1163597  0.0229941  -5.060 4.18e-07 ***\n",
1489       "---\n",
1490       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
1491       "\n",
1492       "(Dispersion parameter for binomial family taken to be 1)\n",
1493       "\n",
1494       "    Null deviance: 373329  on 308484  degrees of freedom\n",
1495       "Residual deviance: 200410  on 308470  degrees of freedom\n",
1496       "AIC: 200440\n",
1497       "\n",
1498       "Number of Fisher Scoring iterations: 5\n"
1499      ]
1500     },
1501     "metadata": {},
1502     "output_type": "display_data"
1503    }
1504   ],
1505   "source": [
1506    "simple_logistic_model = glm(formula=y_train~., data=X_train, family=binomial)\n",
1507    "\n",
1508    "saveRDS(simple_logistic_model, file=\"model.rda\")\n",
1509    "summary(simple_logistic_model)"
1510   ]
1511  },
1512  {
1513   "cell_type": "code",
1514   "execution_count": 25,
1515   "id": "bac877ac-cec0-4d6a-9c76-7a34862eed7f",
1516   "metadata": {
1517    "vscode": {
1518     "languageId": "r"
1519    }
1520   },
1521   "outputs": [],
1522   "source": [
1523    "# The type=\"response\" option tells R to output probabilities of the\n",
1524    "# form P(Y = 1|X), as opposed to other information such as the logit.\n",
1525    "predictions = predict(simple_logistic_model, X_test, type=\"response\")"
1526   ]
1527  },
1528  {
1529   "cell_type": "code",
1530   "execution_count": 26,
1531   "id": "9c4e156f-dbaa-4544-a2ae-08c164ed37ca",
1532   "metadata": {
1533    "vscode": {
1534     "languageId": "r"
1535    }
1536   },
1537   "outputs": [
1538    {
1539     "data": {
1540      "text/html": [
1541       "<table class=\"dataframe\">\n",
1542       "<caption>A data.frame: 6 × 3</caption>\n",
1543       "<thead>\n",
1544       "\t<tr><th></th><th scope=col>actual</th><th scope=col>probability</th><th scope=col>result</th></tr>\n",
1545       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
1546       "</thead>\n",
1547       "<tbody>\n",
1548       "\t<tr><th scope=row>7</th><td>0</td><td>0.16579916</td><td>0</td></tr>\n",
1549       "\t<tr><th scope=row>8</th><td>0</td><td>0.99143335</td><td>1</td></tr>\n",
1550       "\t<tr><th scope=row>10</th><td>1</td><td>0.02978072</td><td>0</td></tr>\n",
1551       "\t<tr><th scope=row>18</th><td>0</td><td>0.21763954</td><td>1</td></tr>\n",
1552       "\t<tr><th scope=row>19</th><td>0</td><td>0.16593005</td><td>0</td></tr>\n",
1553       "\t<tr><th scope=row>25</th><td>0</td><td>0.14915961</td><td>0</td></tr>\n",
1554       "</tbody>\n",
1555       "</table>\n"
1556      ],
1557      "text/latex": [
1558       "A data.frame: 6 × 3\n",
1559       "\\begin{tabular}{r|lll}\n",
1560       "  & actual & probability & result\\\\\n",
1561       "  & <dbl> & <dbl> & <dbl>\\\\\n",
1562       "\\hline\n",
1563       "\t7 & 0 & 0.16579916 & 0\\\\\n",
1564       "\t8 & 0 & 0.99143335 & 1\\\\\n",
1565       "\t10 & 1 & 0.02978072 & 0\\\\\n",
1566       "\t18 & 0 & 0.21763954 & 1\\\\\n",
1567       "\t19 & 0 & 0.16593005 & 0\\\\\n",
1568       "\t25 & 0 & 0.14915961 & 0\\\\\n",
1569       "\\end{tabular}\n"
1570      ],
1571      "text/markdown": [
1572       "\n",
1573       "A data.frame: 6 × 3\n",
1574       "\n",
1575       "| <!--/--> | actual &lt;dbl&gt; | probability &lt;dbl&gt; | result &lt;dbl&gt; |\n",
1576       "|---|---|---|---|\n",
1577       "| 7 | 0 | 0.16579916 | 0 |\n",
1578       "| 8 | 0 | 0.99143335 | 1 |\n",
1579       "| 10 | 1 | 0.02978072 | 0 |\n",
1580       "| 18 | 0 | 0.21763954 | 1 |\n",
1581       "| 19 | 0 | 0.16593005 | 0 |\n",
1582       "| 25 | 0 | 0.14915961 | 0 |\n",
1583       "\n"
1584      ],
1585      "text/plain": [
1586       "   actual probability result\n",
1587       "7  0      0.16579916  0     \n",
1588       "8  0      0.99143335  1     \n",
1589       "10 1      0.02978072  0     \n",
1590       "18 0      0.21763954  1     \n",
1591       "19 0      0.16593005  0     \n",
1592       "25 0      0.14915961  0     "
1593      ]
1594     },
1595     "metadata": {},
1596     "output_type": "display_data"
1597    }
1598   ],
1599   "source": [
1600    "threshold = 0.2\n",
1601    "predicted_classes <- ifelse(predictions > threshold, 1, 0)\n",
1602    "\n",
1603    "head(data.frame(actual=y_test, probability=predictions, result=predicted_classes))"
1604   ]
1605  },
1606  {
1607   "cell_type": "code",
1608   "execution_count": 27,
1609   "id": "f94f03a7-0986-4380-8850-46477da0d85f",
1610   "metadata": {
1611    "vscode": {
1612     "languageId": "r"
1613    }
1614   },
1615   "outputs": [
1616    {
1617     "data": {
1618      "text/plain": [
1619       "      Predicted\n",
1620       "Actual     0     1\n",
1621       "     0 46170  8799\n",
1622       "     1  3945 18701"
1623      ]
1624     },
1625     "metadata": {},
1626     "output_type": "display_data"
1627    },
1628    {
1629     "name": "stdout",
1630     "output_type": "stream",
1631     "text": [
1632      "[1] \"Accuracy: 0.835804934613155\"\n",
1633      "[1] \"Recall: 0.8257970502517\"\n"
1634     ]
1635    }
1636   ],
1637   "source": [
1638    "(confusion.matrix = table(Actual=y_test, Predicted=predicted_classes))\n",
1639    "\n",
1640    "accuracy = mean(predicted_classes == y_test)\n",
1641    "recall = (confusion.matrix[2,2] / (confusion.matrix[2,2] + confusion.matrix[2,1]))\n",
1642    "print(paste(\"Accuracy:\", accuracy))\n",
1643    "print(paste(\"Recall:\", recall))"
1644   ]
1645  },
1646  {
1647   "cell_type": "code",
1648   "execution_count": 28,
1649   "id": "fa240d7c-ac7b-4133-b449-31275f3c9adc",
1650   "metadata": {
1651    "vscode": {
1652     "languageId": "r"
1653    }
1654   },
1655   "outputs": [
1656    {
1657     "data": {
1658      "image/png": 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",
1659      "text/plain": [
1660       "Plot with title “Confusion Matrix”"
1661      ]
1662     },
1663     "metadata": {
1664      "image/png": {
1665       "height": 420,
1666       "width": 420
1667      }
1668     },
1669     "output_type": "display_data"
1670    }
1671   ],
1672   "source": [
1673    "palette = colorRampPalette(c(\"darkcyan\", \"white\"))(10) # 10: number of levels on the color ramp\n",
1674    "\n",
1675    "image(t(confusion.matrix), # transpose the matrix, otherwise it's flipped\n",
1676    "      col=palette,\n",
1677    "      xaxt=\"n\", yaxt=\"n\", # hide axes\n",
1678    "      xlab=\"Predicted values\", ylab=\"Actual values\",\n",
1679    "      main=\"Confusion Matrix\",\n",
1680    "     )"
1681   ]
1682  },
1683  {
1684   "cell_type": "code",
1685   "execution_count": 30,
1686   "id": "a3a545da-58a4-4102-b0c3-d61ad012860e",
1687   "metadata": {
1688    "vscode": {
1689     "languageId": "r"
1690    }
1691   },
1692   "outputs": [
1693    {
1694     "data": {
1695      "image/png": 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",
1696      "text/plain": [
1697       "Plot with title “”"
1698      ]
1699     },
1700     "metadata": {
1701      "image/png": {
1702       "height": 420,
1703       "width": 420
1704      }
1705     },
1706     "output_type": "display_data"
1707    }
1708   ],
1709   "source": [
1710    "corrplot(confusion.matrix / length(y_test),\n",
1711    "    addgrid.col = 'white',\n",
1712    "    addCoef.col = 'black', # coefficient text color\n",
1713    "    number.cex = 2, # coefficient text size\n",
1714    "    method = \"color\", # make only colored squares\n",
1715    "    tl.col = \"black\", # text-label color\n",
1716    "    col = COL2(\"PRGn\"), # color scheme\n",
1717    "    cl.pos = \"n\", # remove color legend\n",
1718    "    tl.srt = 90\n",
1719    ")"
1720   ]
1721  },
1722  {
1723   "cell_type": "code",
1724   "execution_count": null,
1725   "id": "e44e955f",
1726   "metadata": {
1727    "vscode": {
1728     "languageId": "r"
1729    }
1730   },
1731   "outputs": [],
1732   "source": []
1733  }
1734 ],
1735 "metadata": {
1736  "kernelspec": {
1737   "display_name": "R",
1738   "language": "R",
1739   "name": "ir"
1740  },
1741  "language_info": {
1742   "codemirror_mode": "r",
1743   "file_extension": ".r",
1744   "mimetype": "text/x-r-source",
1745   "name": "R",
1746   "pygments_lexer": "r",
1747   "version": "4.2.2"
1748  }
1749 },
1750 "nbformat": 4,
1751 "nbformat_minor": 5
1752}