9-Machine Learning mit R/12-Baum Methoden Projekt - Lösung.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Baum Methoden Projekt - Lösung\n",
    "\n",
    "Für dieses Projekt werden wir Entscheidungsbaum und Random Forest dazu nutzen Schulen in öffentliche (public) und private (private) einzuteilen. Dazu schauen wir uns ihre Eigenschaften an.\n",
    "\n",
    "Verschaffen wir uns zunächst einen Überblick über die Daten. Sie sind in der ISLR Library inbegriffen. Wir verwenden [College Daten](https://cran.r-project.org/web/packages/ISLR/ISLR.pdf).\n",
    "\n",
    "Der Dataframe beinhaltet 777 Beobachtungen und die folgenden 18 Spalten:\n",
    "\n",
    "* Private: Ein Faktor mit den Leveln \"No\" und \"Yes\", der anzeigt, ob das College ein privates ist oder nicht.\n",
    "* Apps: Anzahl der erhaltenen Bewerbungen.\n",
    "* Accept: Anzahl der angenommenen Bewerbungen.\n",
    "* Enroll: Anzahl der neu eingeschriebenen Studenten.\n",
    "* Top 10perc: Prozentsatz an Studenten aus den 10% besten Studenten ihrer High School Klassen.\n",
    "* Top 25perc: Prozentsatz an Studenten aus den 25% besten Studenten ihrer High School Klassen.\n",
    "* F.Undergrad: Anzahl an Vollzeit Undergrad Studenten\n",
    "* P.Undergrad: Anzahl an Teilzeit Undergrad Studenten\n",
    "* Outstate: Kosten, falls \"Out-of-state\" Status besteht\n",
    "* Room.Board: Kosten für ein Zimmer und Verpflegung\n",
    "* Books: Geschätzte Buchkosten\n",
    "* Personal: Geschätzte persönliche Ausgaben\n",
    "* PhD: Prozentsatz der Angestellten mit Doktor-Titel\n",
    "* Terminal: Prozentsatz der Angestellten mit Terminal-Titel\n",
    "* S.F.Ratio: Studenten pro Fakultät\n",
    "* perc.alumni: Prozentsatz der Alumni die spenden\n",
    "* Expend: Einführende Ausgaben pro Student\n",
    "* Grad.Rate: Abschlussrate\n",
    "\n",
    "## Die Daten laden\n",
    "\n",
    "**Rufe die ISLR Library auf und schaue dir den head von \"College\" an. Anschließend hinterlege den College Dataframe in einem neuen Dataframe namens df.*\n",
    "\n",
    "*Hinweis: Die College Daten sind in der ISLR Library inbegriffen.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "The downloaded binary packages are in\n",
      "\t/var/folders/l_/ph09zg211515zffvzrp3bb680000gn/T//Rtmp06FKEb/downloaded_packages\n"
     ]
    }
   ],
   "source": [
    "# install.packages(\"ISLR\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(ISLR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Abilene Christian University</th><td>Yes  </td><td>1660 </td><td>1232 </td><td>721  </td><td>23   </td><td>52   </td><td>2885 </td><td> 537 </td><td> 7440</td><td>3300 </td><td>450  </td><td>2200 </td><td>70   </td><td>78   </td><td>18.1 </td><td>12   </td><td> 7041</td><td>60   </td></tr>\n",
       "\t<tr><th scope=row>Adelphi University</th><td>Yes  </td><td>2186 </td><td>1924 </td><td>512  </td><td>16   </td><td>29   </td><td>2683 </td><td>1227 </td><td>12280</td><td>6450 </td><td>750  </td><td>1500 </td><td>29   </td><td>30   </td><td>12.2 </td><td>16   </td><td>10527</td><td>56   </td></tr>\n",
       "\t<tr><th scope=row>Adrian College</th><td>Yes  </td><td>1428 </td><td>1097 </td><td>336  </td><td>22   </td><td>50   </td><td>1036 </td><td>  99 </td><td>11250</td><td>3750 </td><td>400  </td><td>1165 </td><td>53   </td><td>66   </td><td>12.9 </td><td>30   </td><td> 8735</td><td>54   </td></tr>\n",
       "\t<tr><th scope=row>Agnes Scott College</th><td>Yes  </td><td> 417 </td><td> 349 </td><td>137  </td><td>60   </td><td>89   </td><td> 510 </td><td>  63 </td><td>12960</td><td>5450 </td><td>450  </td><td> 875 </td><td>92   </td><td>97   </td><td> 7.7 </td><td>37   </td><td>19016</td><td>59   </td></tr>\n",
       "\t<tr><th scope=row>Alaska Pacific University</th><td>Yes  </td><td> 193 </td><td> 146 </td><td> 55  </td><td>16   </td><td>44   </td><td> 249 </td><td> 869 </td><td> 7560</td><td>4120 </td><td>800  </td><td>1500 </td><td>76   </td><td>72   </td><td>11.9 </td><td> 2   </td><td>10922</td><td>15   </td></tr>\n",
       "\t<tr><th scope=row>Albertson College</th><td>Yes  </td><td> 587 </td><td> 479 </td><td>158  </td><td>38   </td><td>62   </td><td> 678 </td><td>  41 </td><td>13500</td><td>3335 </td><td>500  </td><td> 675 </td><td>67   </td><td>73   </td><td> 9.4 </td><td>11   </td><td> 9727</td><td>55   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tAbilene Christian University & Yes   & 1660  & 1232  & 721   & 23    & 52    & 2885  &  537  &  7440 & 3300  & 450   & 2200  & 70    & 78    & 18.1  & 12    &  7041 & 60   \\\\\n",
       "\tAdelphi University & Yes   & 2186  & 1924  & 512   & 16    & 29    & 2683  & 1227  & 12280 & 6450  & 750   & 1500  & 29    & 30    & 12.2  & 16    & 10527 & 56   \\\\\n",
       "\tAdrian College & Yes   & 1428  & 1097  & 336   & 22    & 50    & 1036  &   99  & 11250 & 3750  & 400   & 1165  & 53    & 66    & 12.9  & 30    &  8735 & 54   \\\\\n",
       "\tAgnes Scott College & Yes   &  417  &  349  & 137   & 60    & 89    &  510  &   63  & 12960 & 5450  & 450   &  875  & 92    & 97    &  7.7  & 37    & 19016 & 59   \\\\\n",
       "\tAlaska Pacific University & Yes   &  193  &  146  &  55   & 16    & 44    &  249  &  869  &  7560 & 4120  & 800   & 1500  & 76    & 72    & 11.9  &  2    & 10922 & 15   \\\\\n",
       "\tAlbertson College & Yes   &  587  &  479  & 158   & 38    & 62    &  678  &   41  & 13500 & 3335  & 500   &  675  & 67    & 73    &  9.4  & 11    &  9727 & 55   \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate | \n",
       "|---|---|---|---|---|---|\n",
       "| Abilene Christian University | Yes   | 1660  | 1232  | 721   | 23    | 52    | 2885  |  537  |  7440 | 3300  | 450   | 2200  | 70    | 78    | 18.1  | 12    |  7041 | 60    | \n",
       "| Adelphi University | Yes   | 2186  | 1924  | 512   | 16    | 29    | 2683  | 1227  | 12280 | 6450  | 750   | 1500  | 29    | 30    | 12.2  | 16    | 10527 | 56    | \n",
       "| Adrian College | Yes   | 1428  | 1097  | 336   | 22    | 50    | 1036  |   99  | 11250 | 3750  | 400   | 1165  | 53    | 66    | 12.9  | 30    |  8735 | 54    | \n",
       "| Agnes Scott College | Yes   |  417  |  349  | 137   | 60    | 89    |  510  |   63  | 12960 | 5450  | 450   |  875  | 92    | 97    |  7.7  | 37    | 19016 | 59    | \n",
       "| Alaska Pacific University | Yes   |  193  |  146  |  55   | 16    | 44    |  249  |  869  |  7560 | 4120  | 800   | 1500  | 76    | 72    | 11.9  |  2    | 10922 | 15    | \n",
       "| Albertson College | Yes   |  587  |  479  | 158   | 38    | 62    |  678  |   41  | 13500 | 3335  | 500   |  675  | 67    | 73    |  9.4  | 11    |  9727 | 55    | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                             Private Apps Accept Enroll Top10perc Top25perc\n",
       "Abilene Christian University Yes     1660 1232   721    23        52       \n",
       "Adelphi University           Yes     2186 1924   512    16        29       \n",
       "Adrian College               Yes     1428 1097   336    22        50       \n",
       "Agnes Scott College          Yes      417  349   137    60        89       \n",
       "Alaska Pacific University    Yes      193  146    55    16        44       \n",
       "Albertson College            Yes      587  479   158    38        62       \n",
       "                             F.Undergrad P.Undergrad Outstate Room.Board Books\n",
       "Abilene Christian University 2885         537         7440    3300       450  \n",
       "Adelphi University           2683        1227        12280    6450       750  \n",
       "Adrian College               1036          99        11250    3750       400  \n",
       "Agnes Scott College           510          63        12960    5450       450  \n",
       "Alaska Pacific University     249         869         7560    4120       800  \n",
       "Albertson College             678          41        13500    3335       500  \n",
       "                             Personal PhD Terminal S.F.Ratio perc.alumni Expend\n",
       "Abilene Christian University 2200     70  78       18.1      12           7041 \n",
       "Adelphi University           1500     29  30       12.2      16          10527 \n",
       "Adrian College               1165     53  66       12.9      30           8735 \n",
       "Agnes Scott College           875     92  97        7.7      37          19016 \n",
       "Alaska Pacific University    1500     76  72       11.9       2          10922 \n",
       "Albertson College             675     67  73        9.4      11           9727 \n",
       "                             Grad.Rate\n",
       "Abilene Christian University 60       \n",
       "Adelphi University           56       \n",
       "Adrian College               54       \n",
       "Agnes Scott College          59       \n",
       "Alaska Pacific University    15       \n",
       "Albertson College            55       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(College)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df <- College"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## EDA\n",
    "\n",
    "Untersuchen wir die Daten zunächst visuell.\n",
    "\n",
    "**Erstelle ein `scatterplot` von `Grad.Rate` vs. `Room.Board` und verwende eine Farbgebung nach `Private`.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "library(ggplot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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AQKMGr00VGlgYWvgEVABERABEQgLATU\nPRiWklI6RUAEREAEREAEREAEREAEAicgBylwxIpABERABERABERABERABEQgLATkIIWlpJRO\nERABERABERABERABERCBwAnIQQocsSIQAREQAREQAREQAREQAREICwE5SGEpKaVTBERABERA\nBERABERABEQgcAJykAJHrAhEQAREQAREQAREQAREQATCQkAOUlhKSukUAREQAREQAREQAREQ\nAREInIAcpMARKwIREAEREAEREAEREAEREIGwEJCDFJaSUjpFQAREQAREQAREQAREQAQCJyAH\nKXDEikAEREAEREAEREAEREAERCAsBOQghaWklE4REAEREAEREAEREAEREIHACchBChyxIhAB\nERABERABERABERABEQgLATlIYSkppVMEREAEREAEREAEREAERCBwAnKQAkesCERABERABERA\nBERABERABMJCQA5SWEpK6RQBERABERABERABERABEQicgBykwBErAhEQAREQAREQAREQAREQ\ngbAQkIMUlpJSOkVABERABERABERABERABAInIAcpcMSKQAREQAREQAREQAREQAREICwE5CCF\npaSUThEQAREQAREQAREQAREQgcAJyEEKHLEiEAEREAEREAEREAEREAERCAsBOUhhKSmlUwRE\nQAREQAREQAREQAREIHACcpACR6wIREAEREAEREAEREAEREAEwkJADlJYSkrpFAEREAEREAER\nEAEREAERCJyAHKTAESsCERABERABERABERABERCBsBCQgxSWklI6RUAEREAEREAEREAEREAE\nAicgBylwxIpABERABERABERABERABEQgLATkIIWlpJROERABERABERABERABERCBwAnIQQoc\nsSIQAREQAREQAREQAREQAREICwE5SGEpKaVTBERABERABERABERABEQgcAJykAJHrAhEQARE\nQAREQAREQAREQATCQkAOUlhKSukUAREQAREQAREQAREQAREInIAcpMARKwIREAEREAEREAER\nEAEREIGwEJCDFJaSUjpFQAREQAREQAREQAREQAQCJyAHKXDEikAEREAEREAEREAEREAERCAs\nBOQghaWklE4REAEREAEREAEREAEREIHACchBChyxIhABERABERABERABERABEQgLATlIYSkp\npVMEREAEREAEREAEREAERCBwAnKQAkesCERABERABERABERABERABMJCQA5SWEpK6RQBERAB\nERABERABERABEQicgBykwBErAhEQAREQAREQAREQAREQgbAQkIMUlpJSOkVABERABERABERA\nBERABAInIAcpcMSKQAREQAREQAREQAREQAREICwE5CCFpaSUThEQAREQAREQAREQAREQgcAJ\nyEEKHLEiEAEREAEREAEREAEREAERCAsBOUhhKSmlUwREQAREQAREQAREQAREIHACcpACR6wI\nREAEREAEREAEREAEREAEwkJADlJYSkrpFAEREAEREAEREAEREAERCJyAHKTAESsCERABERAB\nERABERABERCBsBCQgxSWklI6RUAEREAEREAEREAEREAEAicgBylwxIpABERABERABERABERA\nBEQgLATkIIWlpJROERABERABERABERABERCBwAnIQQocsSIQAREQAREQAREQAREQAREICwE5\nSGEpKaVTBERABERABERABERABEQgcAJykAJHrAhEQAREQAREQAREQAREQATCQkAOUlhKSukU\nAREQAREQAREQAREQAREInIAcpMARKwIREAEREAEREAEREAEREIGwEJCDFJaSUjpFQAREQARE\nQAREQAREQAQCJyAHKXDEikAEREAEREAEREAEREAERCAsBOQghaWklE4REAEREAEREAEREAER\nEIHACchBChyxIhABERABERABERABERABEQgLATlIYSkppVMEREAEREAEREAEREAERCBwAnKQ\nAkesCERABERABERABERABERABMJCQA5SWEpK6RQBERABERABERABERABEQicgBykwBErAhEQ\nAREQAREQAREQAREQgbAQkIMUlpJSOkVABERABERABERABERABAInIAcpcMSKQAREQAREQARE\nQAREQAREICwE5CCFpaSUThEQAREQAREQAREQAREQgcAJyEEKHLEiEAEREAEREAEREAEREAER\nCAsBOUhhKSmlUwREQAREQAREQAREQAREIHACcpACR6wIREAEREAEREAEREAEREAEwkJADlJY\nSkrpFAEREAEREAEREAEREAERCJyAHKTAESsCERABERABERABERABERCBsBCQgxSWklI6RUAE\nREAEREAEREAEREAEAicgBylwxIpABERABERABERABERABEQgLATkIIWlpJROERABERABERAB\nERABERCBwAnIQQocsSIQAREQAREQAREQAREQAREICwE5SGEpKaVTBERABERABERABERABEQg\ncAJykAJHrAhEQAREQAREQAREQAREQATCQkAOUlhKSukUAREQAREQAREQAREQAREInEBh4DFk\neAR5eXlm2LBhGZ7K2JKXn9/j75aUlMR2g65KOgGWQbbUp6TDCThAu/4XFhaqDAJm7Rd8UVGR\nKSgoMHyvylJPgHWfxt+A7u7u1CdAMVp1X78B6akI+g1ID/dsjTXnHSQWbLb8mNv5sP9ma6XN\n9HyJf3pKyObOv/bn9KQkt2MV//SXv+p/estA/NPD38nd+Tk9qVGsYSeQ8w4Se9l27twZ9nK0\n0j9kyBDDHsTm5mb1HqapRNlzmC31KU0IE46WdX/EiBFm165dKoOEKQ7uRjZKOjs7TUtLy+AC\n0t0JEeAIHv/xN6CrqyuhMHTT4AgMHz5c75/BIUz4bo5e8zego6MjFGVQWlqacF51Y/AEtAYp\neMaKQQREQAREQAREQAREQAREICQE5CCFpKCUTBEQAREQAREQAREQAREQgeAJyEEKnrFiEAER\nEAEREAEREAEREAERCAkBOUghKSglUwREQAREQAREQAREQAREIHgCcpCCZ6wYREAEREAEREAE\nREAEREAEQkJADlJICkrJFAEREAEREAEREAEREAERCJ6AHKTgGSsGERABERABERABERABERCB\nkBCQgxSSglIyRUAEREAEREAEREAEREAEgicgByl4xopBBERABERABERABERABEQgJATkIIWk\noJRMERABERABERABERABERCB4AnIQQqesWIQAREQAREQAREQAREQAREICQE5SCEpKCVTBERA\nBERABERABERABEQgeAJykIJnrBhEQAREQAREQAREQAREQARCQkAOUkgKSskUAREQAREQAREQ\nAREQAREInoAcpOAZKwYREAEREAEREAEREAEREIGQEJCDFJKCUjJFQAREQAREQAREQAREQASC\nJyAHKXjGikEEREAEREAEREAEREAERCAkBOQghaSglEwREAEREAEREAEREAEREIHgCchBCp6x\nYhABERABERABERABERABEQgJATlIISkoJVMEREAEREAEREAEREAERCB4AnKQgmesGERABERA\nBERABERABERABEJCQA5SSApKyRQBERABERABERABERABEQiegByk4BkrBhEQAREQAREQAREQ\nAREQgZAQkIMUkoJSMkVABERABERABERABERABIInIAcpeMaKQQREQAREQAREQAREQAREICQE\n5CCFpKCUTBEQAREQAREQAREQAREQgeAJyEEKnrFiEAEREAEREAEREAEREAERCAmBwpCkU8kU\ngeAJtLaaIY8+bIrmvWnMrnbTOWGiaTviKNOFv/FaQ/su8/O1683zTdtMV3e3+VDpCHPh+Foz\naeiQeIOKuH5Rc4u5ds1689bOnaY4P88cXFZmvjW+2owq1OMcASuDDmze1VMnnt26zXSiTuwz\ncoS5aEKNmTJ0aFpS+dK27eYXqKPLW9vMiIICc/yYcvPV6rGmKD+4frPHGreYm9bXm/Xt7aYc\n9fW0sZXm1KoxJi8vL24G7+xsNtch/fPxdwjS/KnRo8x542vMSOQlG629qwvs6swDmxvNzs4u\nMw31hs/9h0tHZnx2X8R78MZ1G8wK1DWWz2dQ175SM84UJVDuA2X2ma1N5leIa3VbuykrLDAn\nV44xXxxXZQoCiGugtOi8CIhAeAnkdcPCm/zBp3zbtm1mJxqa2WDl5eVmyJAhpq6uzuR4scZf\nnB0dZtgvbzD5mzaavM5O637rwUDDq/nsr5muiZNiCrOystIs2bDBfHbBItPU2WE6ep8uNjmH\nIqy/7T7T1KKMEjU6R6e9uwThdhv7wS3ED391cZG5e/fdTEmAjdtE05yq+wrR4CZ/Ps98rjPJ\ntqNOsU40wknq6E0Y6wQd3Ltm75YUxzme/LIRedGylabLcRMbq/uMGG5umjnNcTS+jyNGjDCd\nyGtLS0vEjX+p32h1GvQ8XT2nC+EXHVNRbn44aULE9dEO0Cn60qIlcDSN4zkwZiKerb/Ongmu\nwTl50dIV1Dm+z89avMzMQ753OX6ymcsbpk8xB4wqtaIuQ2dJSUmJqa+vN11wqDLBntyy1Vy8\nfFVEXfsIOgh+OWNqUpP44KZGc+mqNf3i4vvx4LJR5sqpsb3DB5ugqqoq09DQMNhgdH8CBArg\nfJN/c3OzaWpqSiCE1N5SXV2d2ggVW1wEsutXJK6s62IReI9A0ev/6+cc8YzVp41GxtAHH3jv\nwhg+3V7XYLahkWg7R7yFTZU2hPUb9AAPxthj7nSOGBa/12HE6r6NmwcTtO4NkMBfGzaaLXDC\nbeeIUbFO7OrqRs/6+gBj9g76Z6vW9mtE8io2vF/dvsNwZCnZ1oLn4Rfo1Xc6R4yDz8h9aNSu\nxOhtPHbNmnX9nCM7rDUYNXhw85Z4ggrFtS+gTN6E4+90jphw1iGWZaYaHbv/W+1d11jPXkN9\nS5aRzVWoF263kO9HOmkL4FzKREAERCBWAnKQYiWl67KaQMHyZQZd3xF5pJOUvw4NkDh6Y1/G\nj767IcOAGfp/B9kgmLdjZ1+POcO0jfG9sj35DVs7fP0dHIGXmrb71on/bU/tCHY9prdthrPm\nZfnobX8DdSzZtqil1ZpW6BXuEMT5ZpxxcgTJHkF1hsnn4LUsfA6ilUk9RiU5fTMTjVMpt3ZE\nvleZVk55i5avePNDJ7vZ5z3N0dF461i88et6ERCB7CIgBym7ylO5SZBAd3Exhox81kFwTUMc\nU3aiTXOLdi6WpHNKlp8Ny8/OtRd++Q3T8WFR1sVw/UwqLVp8rF2DraNeeRmKeuvu2bevo6PD\n6afxWLHPs9qT/ux7Dsgvv2dM2xNTtDL1vCFFB6OVK8uK+UqWRYuLcQx0PlnpUDgiIALZQSC+\nX6XsyLNyIQIRBDret2fEMR7oRsOtY/c9PM/5Hfx0+WjDtRVuYy/moaPL3Ifj+n4I1hhwTr3b\n2CT81CDDdoep78kjcGg5yy0yPKtO4FwqrQxrteYMK0GDO9I4AnNg73qWyLOJH5mJdTFjirxF\nROggzY1TaOAgrCnxCo2IPwmxhmyzj48a5TkCyTLce8QwS2QjE/NcUVRkdisZ6lnX2lHXPoZ8\nJcsmYP3ZxCHFnm4kp9l9dFTmi1kki4XCEQERGDwBr9/IwYeqEEQgZAQ6Z8w0uz4813TD+bCn\n7nSj17+7tNS0HX1sXLk5DgpNHx45sl+DmA3hGWgonAmVsMHY+VCtqoEgA8Ozjc7RYWhkfyKA\nhmErpqw8hwX9923abN7OEjETm1sq/x4Jp/kA1CXn2AbLcDJUDc8eZJ1IJB8/nTLRalTb9Yg/\nBKxR36ytNlNRT5NtnLp39dTJhiM/dpxkwXh/MnkC1Ma83B3/VFw0odZUOZ4Dpp1hHYtnb/8A\nHDz/lCR+hlMdH4Ii3cNYM0XVy2jGd8fRFaOtS+wnnxxLodJ26eSJ0W5N+7mfTZlkhhXk95W7\nXdcuwLvMrerZgvcNBUTux/sm3jVDWzFtlIIf5GLXJtYx8vr+xPFmLGcJyERABEQgRgJSsZOK\nXYxVJTcuK3j3HVP05psmr7XFdEydZnZ9ZF8DacCYM08VtY0bN1rS3o9hYfCzW5qstUf7o4f8\nKDTe7MZhzAF6XMhGBBsQr2zbYYZhhOtTcI7Yo55s4zqPby5dbnZAUrgArYx2CAp8ACpnVM0a\nHmXKWLLTEWt4maxixzxwwfoTqBP/QgOQ4gxz0aN9LBp06VJco2jE3xo2WTLZY9DTf/SY0RiN\nGBErbs/roqnY8YYNcAruRpxLsSapFr39nxlTYWZiNCsRo/DDvXgOKCxB6WiOzn4sgOcgkbQN\ndM8fN9SbX0GwxX4fcOTuG3BOKUftto1YX/S1JcvNcjDjc7gLPTh0ND9TWWG+Aufa6Vxmoood\n80P1xr9BRIZOT6VV18rN+/EucRrXCJ23dIXh+81+31Dp7jq8bwaa9vkI5ON/snJN70hVt2kD\nIyp77of37nGoY3sMH+aMKtDPUrELFG/UwKViFxWPTsZJQA6SHKQ4q4wuj0bAdpCiXROGczvQ\n+Dz87YWG8tROY4PuEymUzHXGPdDnTHeQBkp/NpwfyEHKhjwONg/PwkG+0CWxzjA5snL9tMkR\nTt7pkPXnnk/OJ5HX1mBE5IE5syyxA95Py1QHqSd1/v9vgrPO941bZIHvm0+jAyjaKBm3Pjhl\n4eKINW6c0noB9sX6XFWlf8QBnJGDFADUGIOUgxQjKF0WEwG+Z2UiIAIi0I/AvzDyRVlyt7Gn\nm6MgbsfJfZ2+i4AIeBO4s35TRGOeV/JpuxOja07jqBFHcp3OEc/z2jpsZv16nOp/zrAz6TPf\nKVwn5Da+bx7CFESOKvnZPRs3+aw7MubP2HtLJgIiIAKJEJCDlAg13SMCWU6A0sF+xmbMpijn\n/e7TcREQgZ5phn4cKIvtND6H9jQ853F+plhLnet69zVh+V6PNVh+LhCPb9nlLUvP/K3D3ldu\nB9LO9+Yo99nX6K8IiIAIeBGQg+RFRcdEIMcJTMK6q8j+3B4oXPg8Tguec7yGKPuJEphaMsRz\nxINiAtOG9hfI4HNItTcv45pAns8Go1iDX2OE660qfRQQmffpELDwUvbkOa5zk4mACIhAIgT8\n3kmJhKV7REAEsoTAQWWlliwznSGnsTf75KoxAy6adt6jzyIgAu8ROGPcWF8H6QyXSEMNGvgH\nQZXPPYpElbbdIW6xp0vo4L1YwvXpEAhsjIIin7tBwnx/fmylKYqyTxbfR+77mHseO7t6XLhA\nKLUiIAIZQ8BWw8yYBCkhIiAC6SfABsktM6eZC7CYfImlnpVnOtGTTRnd87HwOZ3G9Qh/rmsw\nT2KdFNcoHAA1uIMgcX7Pxkaz8O13TAUko4/Fwu6jkNYwGddg3IU1KFxz0dzZYfbd1mS+9uZr\nZlwr1qDMmm3aDvqkMcNSp8YVJnZhSivV266cOslcCtU1yujTqNJ2CeTOvRyeyyHJ/qOVq6F+\nuM0aKWE9YRhXT5ts3TvQ/yiA8Ac8L8/j/gI4HNwn6gtwOkoySImSm7jeMnM6xCtWmOWtbVY6\n+b75LJQ/z62J7uTUYhTtNzOmmu8uX2WozMiROObzfKgCUuFTJgIiIAKJEJCKnVTsEqk3useH\nQLao2Dmzx4XijWh4TMU0mHJI9KbTKBxBVa8VaETROaJxlItrEOy/9jHK+/5g0nh+zXjrQl7O\ngZQzF93bi9ULuzpNSUeneeCph81EyM53Dx9hms+7AH/7yyNnUuakYhd7abSjLi+EAhsb9LMx\nGhRtlIShct+kNVhvMw7y1eN9pta5VezoMJz8zmI8v7tQr3rSxlEZTs27ffaMjBwJXob3DdM9\nDVPnRsexPxYdKiratXV3mVnYmDhdDqBU7HrqWTr+LxW7dFDP3ji9RqazN7fKmQiIQNwEuHHo\nB7EfSbqdIyb8b1CscjpHPGYv0Lb/2sf+jj1yqAAWBnscKl6v79jR5xwxzR35BaYZDcTL9v6w\nyYPcet7OHab4ycfDkB2lMQYC3P9qL4wEcdRoIOeIwXGjUz6Hfs6RV5S/xV5L7NywnSNew46F\nVW1t1mil1z3pPkbHiPmMxzlimjlqtDv2O+JeXulyjtLNTvGLgAgkj4AcpOSxVEgiIAIBE3gG\n04TskaOBomJP+cvbtg90WUacf6FpW79GrJ2oTjSi/1PVM8WITlLhwgX2Kf0VgQEJPIfnxR6R\ndF7MZ4hS/jIREAEREAFvAnKQvLnoqAiIgAiIgAiEmgCn7/kZ+g9kIiACIiACPgTkIPmA0WER\nEIHMI0B1Pbeil18q2Us+t3Sk3+mMOv5RKJUVejRYC7BOZb+GOiut3Zhy1zF7j4xKtxKT2QQ+\nhufFSwKbz9BBZaMyO/FKnQiIgAikkYAcpDTCV9QiIALxETixcoyZArEIp5NkS5HbfxkiP38G\nIg1zsCYh3UYBhnebm83/tu8w2zFNzssOhczxPlg74WzMUqRhGNaP/PiN/5puKI5143z7IYd6\n3a5jAxBYizU3r4J/2DdW5XQ5rqt7A+vVKEjwGvLUgE1W/exsKMBR1dHpfPPZoUgD5bHdtg31\njWEy7G7EJRMBERCBXCUgme9cLXnlWwRCSGAI1uT8adYMS+b7qa2Q+cZmmR+FzPfBkC6+GzLf\n77a2mvIMkvlegMbshZBK37hrl8nHCBHbnF+tGWu+4tqfJR+N1l9BqvjuPpnvTjN329YemW9I\ne7d/YB/TftDBkvmOs85SDe074P8a1AHpfNLB4Cjk5ZMnmmEZJHMdS7Zewnq6769YZZqgbGi7\nLuzhpFD4pyFnfcmkCRHBUOjg7t1nWjLfXOdWAM08ynyfTplvPEtO+/W6DeZWyIGznnYighqI\nQvx82mQzEwp7MhEQARHINQKS+ZbMd67V+UDzm40y34ECS2LghWgMkv/OnTvNNjzX6bbNcIqO\nnv+u4b5NdoOWaWKv1Hcm1poTMBqWbZZpMt+nLVyM0bsW0+EAzRGU/TH18vrpUxxHM/vjCjj+\nJyxY1KfY6E4t88RRyF/uvacpgcR1fX296UK9i9W4r9iN6zf0EwrhjM8RcCIfmjPLlOLZksVG\nQDLfsXEK4irJfAdBNXfD7N+FlLsclHMREAERSCqB+zc1WiMWTueIEbCxfvP6+qTGpcAiCbyF\nUaN3XM4Rr+LatGcxmrIO0+7CYnfWb4yaVObpocYtZjP2SkrEboGD5JQCZxist9x37EFsXCwT\nAREQgVwjIAcp10pc+RUBEUgJgeXo9W/nnDoP22TtTeN9zuNyHUqAAPf6KeZ8MQ8rxojLKmw2\nHBZbgs1TvVevvZcD/pivxnXx2g6si/NbG8f6uwr1WCYCIiACuUZADlKulbjyKwIikBICtVjD\n4RSTcEY6ElOXnIIMznP6nBwC48C/A2vUvIwjLtx4NSw2fkixGejHmhPqxkF8IV4bjrVIQ6M4\nkmHiFG/edb0IiIAI+BEY6J3rd5+Oi4AIiIAIRCFw9JhyQwU7t9ExOsVDQcx9nb4PjsAHRgyH\nwxDpWFDhkOqG00qGDi6CFN59EtarRdak9xJAlbp9R44w1VB4jNfyUB+pDunlzDPOoypGxxuk\nrhcBERCB0BPQysvQF6EyIALZT4DqYw9tbjTPN223MnsglMiOKB9tCtC4y1SbgN7866ZNNhev\nWG05SuyNakM+DoWK2Feqx2ZqsrMmXawbv54+1Zy7ZLmph2AGnQiqHk6FY8RyGci4/obryF6G\nehxHWA6GCMInsXcQHYpEjLLZVF58estWCHd0m30hFHEcnGgqM/rZM7j+icatphlp+RTif3rr\nVpMHr8UW9ral7WdBmOFYhHXBgoVmO8KeU1wEmftyS2TBL2zn8a/XVpsNWL/01JYmMwT543Q+\nOkczwOoOrH86EQ496/NgrR5xUKlxEaYCUiXv+MpyMxsqjbRO8HkY66ie29ojsHIA1CmPrCjX\nSOtgoet+ERCBhAhIxU4qdglVHN3kTUAqdt5cBnO0HY3DsxYvMwu44B6NKBpHYfbCKMBNM6f1\n9XxnmoqdnWeu72Aju7mzK3QjF3YeYv2baSp2TDfrDPdAogMwEY38fTCyNJCTw3U5p7+7xKxt\na7dEHRgOnRFurnr11EkD3s/rnUbn6LuQ6P4XHBB7LRFHbDh17jbI1nPKpdt+iOsfg3PkvL6y\nqNCcOQ7ONXw03sFzU4cOhWOz1fwVjgefDv5j2GWFBeaOWTNNFZylWG1JS4u5t2GzuWfTZkZh\nSYjTsczDf7+E6t9HBrHx8ttQl+RzTEdoFxLJ9HNa4E8mT4BM+WhzLs69CVl85zO+ByTGb8Yz\nXhzFiYw1b6m6Tip2qSIdGY9U7CKZ6EjiBPy7rhIPU3eKgAiIQNIIsAfbUiPrdY4YMBtR89CY\nYm90phsbv4eg9/8Y9OiHaVpXpnONNX10pjlaczw2Dv4gpqEN5BwxXO4JtMbhHPEYnRGO6DwG\nZyReexz3OJ0j3s91UIyDcbnNisfhHNnXN+zqMG+h3jMvx+Af/9LhoHNEZ6On+6An7EZce8Xq\nte6go36vxqjOg42NVji2SDjV7ZjW7y5fhRE4+2jUYCJO0kH8Du5vw+gWnSMaefLjT1etMbdu\nqO/nHPE8n3E+93z+ZSIgAiKQagJykFJNXPGJgAjEReBRNBTZQHMbG1CPYEqOTASSTeAJjPTY\nIxnOsNmo55S3eI338F63MY4nPByuaNdzmp3T6Hh5GeN7HnLmXuvgvK7nsdcw0gYfxtM4qsZR\n3ERsORQD69t39TlwzjC4ee2DmD7rxZvP/SMJ8HaGr88iIAIikAgBOUiJUNM9IiACKSPQGqXX\nmpuwykQg2QS4/sjPuB4oXot2T7uHRxLP9S3dXdbokVea6CRxhClW47Pmt8IqHyNxiT5v0cJl\nfBxZ8rNoz7/fPTouAiIgAoMlIAdpsAR1vwiIQKAEPlI6wnOhNtdGzB05MtC4FXhuEvjAyOGe\nstpc2zM3gXU4vMdLJY4/wHtjTZTbWOe9rqczsefw/tfvM8L7WoZJkYWiONbvMGy/vbs4EsU1\nQYnYdKTDb08qCpd82HrGI0Pm9EiykImACIhAqgnIQUo1ccUnAoMgwJ7tOiw2T3QtwCCiTv6t\n7K1uwnSh9ugbdp5VPc6UoJHnXMbOz8PzC8yZ1VXJT1cWhMj1J41QbpMlRuD82hrLQXH+QNIh\nHwORhBMrK+IO9ATcQ4EFhmEbw6YTdP74GvtQ39/jsLaoGuIKdBBs4yd+v2hC/+sPLS8z0yDU\n4HSoeC2fke9NrLVvj+lvDUQjToVinTOdvJFhnVszzpQWRgrfNmHT400D1DUq9V00vjbC6WQ8\nlBG/EAz4PLufcT73X8Xzn822NQZ+2Zx/5U0EMpWAVOykYpepdTOU6QpKxY6O0bVr1psHeufq\nF6OhdGpVpTm3dly/RlRYoBW98G8z5MnHTV5bm+lGXjr2mGNajz/BmF7JX3c+1mMx+7Vr10EN\nbod1aj/0yF+IhiIXlduWqSp2dvpS8Xc+FvD/eOVqswJrPmiToNpGlbD3e4xSBJGeTFSxSzSf\nyyBFfe2adeaNHTsxCpNnDho1ynwLdW60h5MQSxxb0BC+Hs/wM01Nltw4R44umlDrK9yxDdff\nsHaDeRJrjjgNby9cT0diN49RnGasD/oVxB4exXokTs+bDdnvC8ZXmz0TLHeKn9xW32A2wtGm\no0ZZ+qMgue20pVC8+9HKNebd3nVJvO5HkyZYghjO65yfn8R6q5vW11nqgKOhsvc5OGOnj60y\nnL7Hjp/rwOdFKD7S5kJQg3zotIXJYlWxo2Lgj+PkFyYO6UirVOzSQT1745SDJAcpe2t3GnIW\nlIN0wdIV5gU0HJxiBewxPgaNlh9MGp+GnCYeZdFzz5ghjz9q8tCQs60bvcdd48aZ5q+fZwx6\njROxXHeQVrW2mhPfWWzVEeeKDtaTv86e6dsQT4S13z3Z5CD55TGTj5eVlZkSOEf19fWmy/F8\nJTvNDRBcOG7Bu9aaJGdd45N7627TLWcu2XGGJbxYHCTuB3X8gkWe/P4Ifok6tmFhFFQ65SAF\nRTY3w02sJZKbrJRrEUgLAfbUPgs1KqdzxITw+73Yr2TjANNb0pJov0jRKz7kqSf6OUe8NK+r\n0+TX15mCRe/63anjAxC4ZUODtSDf2WDlLVyk/7sNdQPcrdMiEDsBSm/vgjiEu67x+y89ZMtj\nDzk3riQ/7u/mzU/Pam7UAuUy0wnIQcr0ElL6cp7AouZWa3d7LxAcHViKqUBhsbwtW0yer0OX\nZwrWrwtLVjIunfOxEaeXlDTH6Tj1TiYCySLATV/t/YycYbLBvwgdOrLoBLiXVYfHJeLnAUWH\nRCBNBOQgpQm8ohWBWAmUYa6+V8OX93N0gOdDY1hj5O417Us7Fmx3uxS6+s7pw4AERhcW+V6T\n6LoZ3wB1IqcJVBT517XSgkghh5yG5ZH5MVH4jQrT+9wjbzokAtlCQA5StpSk8pG1BD6Ixcoj\nCiIfVR7hAuZZWHMQFqMD1Dltuun2WmcEZ69jj/eFJSsZl87PVJb3UwGzE0ilsM8koLxm36+/\nIuAmcMyY8ghFOl5Dlb3P4JwsOoFjoNwX+UYXv+jUdFYEUkvA6xlNbQoUmwiIQFQClMi9YdoU\nyODmG6rXscHLv+xp5PE8fA6TtZ50iukePdp0FxRYjlI3VMH4ueXU00239jVKuCiPhGDHsb0N\nV0695D++4A8vH22OcymQeUWyE0po927cbK5fu978tWGjoepaMoyS9A9v3mKFe1tdg6EioSw5\nBLg30b+gXHcDyuz3G+rNUkx9S4ZRevouKNmxLrBO7EDdcNoBo0rNF8dVWZvK8l1UhFcQx7H3\nh7rk6Tgui07gY2WjzBc8+B0AfqdB1U8mAiKQfgJSsZOKXfprYRalICgVOyKi7O9jkMmtg4LU\nBIwcHTq6zAyDYxFKQ14K579t8uvWm+4RI03H+/Yy3ZBRHozluoqdzY7rQ15s6pVKRoMrFolv\nSlp/efFS09zZZTrQ6OZIQAH+/WbG1Jjut+N2q9hxf5wzFi216iwb8wyT00KvmDrJHIL6K0uc\nAKW9z1q8DGt+Wk13L1sKt1y2+yxz9PCShFXs5kHW/Nwly616YNcF7kd0y27TsPFs/9HqRZD4\n/jcEZCg48CGMdH8Y9S3XLRYVO5vRu83N5nk8qyw38uM/WeIEpGKXODvdGUlADpIcpMhaoSMJ\nEwjSQUo4UTlyoxykxAqajeujIdm8DiM77vVho+CAP7bn7mao15RIj+jcDtK5aMC/umMHGtv9\nL6Zb//D7Zpuxjn2s+l+hbwMRuHzVGvMgRubc6pYcT/7r7ruZ3UqGDhRExHnut3bY2++YrR39\nR4wYJvc5+uec2daeRRE36kAfgXgcpL6b9CEpBOQgJQWjAukloCl2qgoiIAIikMME3oXqmJdz\nRCTcdPTV7T2b88aLaDsa2S/hXrdzxHA4QvX01qZ4g9T1DgIPN0Y6RzzNUbqHsaF0IvY/lNdO\njCK6jf4tR67f6d0U1n1e30VABEQg2wjIQcq2ElV+REAERCAOAhwtoMPiZRzp4XqURGxbp/99\n3AGmyTVKkUgcuXoPp761drmG5Xph8Fyi68dYFwq8q4JVR5oSrAu5Wk7KtwiIQHgJyEEKb9kp\n5SIgAiIwaAIzMRWLjWova8Px2cP6rzvxus7r2DhMn6OwiJd1Y3n/rATD9Qov147RoeU6RC+j\nqMvuw4d5nRrwGMukzcfx4lS+mSqzARnqAhEQgewg4P3rlR15Uy5EQAREQAQGIMA9bU6CDDhV\n75zG7wdBbWu6a2G+85ponznV6+u14yKkx9m4nzp0iDkQSmiyxAlcML4mQiqaoz/lWCt03JiK\nhAKeCmf5k6NHedaFz6KOVEbZvyehCHWTCIiACGQoAe3olqEFo2SJgAiklwAVpq5Zs95w13tK\nGX8CzsIFE2qMtekq1uYU/+spU/Tyf0wezndVVJj2Qw+z1PjSm2rv2Bdj7cg1a9aZeUgrHZSD\nykrNheNrTXlRz0/ARRNqzUgIMvy5fqNpxUgBnaPjIRnORvhg7OSqSmtNzC/X1ZntUF1jj9zH\n4Rj9aNJ4a7E/Fe3+WFcPSenN1rSw8RgV+VpNtflUeWYo3HHU5Ob1debeTZuhItlpJsOx+0Zt\ntfk46kK6jWm4EmqAV6NcN+3qmc44t6zM3PiBvUwhxIe6UEcTsZ9Nntgj772p0RKAGIK68Pmx\nleacmnGJBKd7kkiAgip/gfz67fUNVpmPgzP8leqxkPdPzCFOYtIUlAhkHQGp2EnFLusqdToz\nJBW79NFPpood5YtPe3eJNfXMnnzG/afGFhWbe3afaUbf/RdTuGC+yXPsD9ONhmTbcZ81uz78\nkfRB8Ih5KUQYTlnoyguuq0Tj6h6onQ13SMXb61fKcKzIZ3qcRxR9h9wqdvYJSnw3Yv3KCITr\nVMT7/vJV5kmINTin+NGJ+t7E8YYjFum2by5dbl7etqOfUhzT91M4EYdjs89Msc2QU6cUdw0c\n9RKM+NXX1yfsINl54v5VW1G/2SHgt0bNvlZ/3yMQpIrd1avXmXs2beonfMJ1gmfDef0yHKVc\nN6nY5XoNSG7+NcUuuTwVmgiIQBYQuA4bZLLRbjtHzBLV2BrQEP370mWm8O23+jlHPI/eJjPk\noX/gQn9xAl6Xavs58sKRmn55QSI46nAPNgF1GhvCnEaViHPkDMf9OR/hjkG4TueITij39XI6\nR7yP4x7XrV1n7a3jDieV31+Hott/eveoccbL9F2FURsyzRTjNMlk74nGOsC6IOcoM0qZGyzf\ntbG/c8SUUZD9txjllIBGZpSTUpE9BOQgZU9ZKiciIAJJIvAWNsv0av5yytWr2BjToFfd09rb\nTX5Dg+epdB2ctwNTAD0iZ15e3tazoazH6cAPvQnGnLroZRQKWIoNUNNpbyB9XEflZdswsrK2\nrc3rlI6JQCAE5mEDaL/nhR0QkmAPBLsCzWECcpByuPCVdREQAW8CVALzs+F5/ufYnO7OsM1P\ni/O9G/nMn3N6nV9+gzrOKWF+Rue0pMD/vN99yTzO+P3JIX35nNwkE4HUEODz4tVpw9g5hTXa\n85SaFCoWEcguAun9BcoulsqNCIhAlhA4BEpeXHPkNjaJD4Eym3GsPbKvYeOlq2KM6R4zxj6U\nEX8PHV0WoUrGhDEvh6VRDGG/USMxPSiyyUfstXAypwwdymSmzaiyx1E2t/FHcwbU3qqwhksm\nAqki8KGRI3xHNEsLC8weCUq7pyr9ikcEwkZADlLYSkzpFYE4CazBVKAHoML10OZGsxFraGQD\nEzivtsaMHzKkz7Fgo50vy8PLR5uDampM6/GfNRRl6O4dBemm0AGubznltIEDT/EVX4fq2kRX\nXugcUSnuEDhP6TKuSbpk0gRrlIbpoVE9j+uUroY6W7psA6ZJPggFt/9t32nOxsJ3lr0zfUMw\nIkf586ewfqrZw1H2SjfXhzzWuMXchzVfSyCakWxbjumI9+EZ/wcUATdhrYos+whwtPf/pky0\n6qI9wZfPC6fdXT11ct+7KvtyrhyJQHoISMVOKnbpqXlZGmumqdjdgAX6t0O6mVK97Avngvhv\nQ6r6JMgvZ5slU8WObNqg4vUAGsr/xWJ9Tl/hqNKBDnnn/HXrTNFr/zV5W7eYrppas2vuvqZ7\nZGbu7dPOvMBBfgWKbMzLwcgLG/nJNj8Vu2jxUKyBnNfDMeGmtSdWjUnbfju3bqg3v8aCdzY8\naRxBotx5Hr5vgOOxsrXNSicbpVzXxemLN0ybYvZB776fPQ1H6vsrVluOFoPl+iqO3FEJz2+N\nk19Y7uOUfb589VpzP/jRceMGvJTj+AnC/nQanV93OnPpe5AqduS4ohXOMBzt1aiP3E/shMox\npsZn0+Bc4s68SsUu10o82PzKQZKDFGwNy7HQM8lBYi/4ZavWWCpHzmJg0+/mmdPMB6M06pzX\nh+Vzsh2ksOQ7k9KZiIOUKel/DnLjFyxbGSFowZHDa6dNNs/i/KONWyOm3XHE65H3ze7ZH8uV\nmVVozB6/YFFEmFSG+/K4KvPVQe4t9Gfsh3Pjug2WwqIzaj7jf5090+w2rMR5WJ9TQCBoBykF\nWQhtFHKQQlt0GZlwTbHLyGJRokRg8ATuaNgY4RzZod6NzQZlIiAC7xG4E8+El9ofj91e12Ae\n3rwlwjni3Vwg/wQcJy/jyBgGdiKMI7nc8HOwdmd9pOwzw+QP+98x5U4mAiIgAiKQGAE5SIlx\n010ikPEEGtq91xtxqt06TGeSiYAIvEeAa4/8jOe434yXdWFKW73P2j7ex/2zvIxS4XSuBmPc\nfNfLmNZ1WovkhUbHREAERCAmAnKQYsKki0QgfAQmY366l3HBOdd6yERABN4jMB2qeR6DPdax\n6XheuI7PyygGPhkiGF42raSkbz2T+/xYiFRw/5rBGNX+vIxrqKi0JxMBERABEUiMgBykxLjp\nLhHIeAJc3+D3gJ82tirj068EikAqCZzZq1jnjpMuzFeqx5kvYs0Q1w45jc/XKEgsH+Ijl06B\nBzor/e/qUcU7u2asM6iEPp/j84wzXSdB7EImAiIgAiKQGAFbLTKxu3WXCIhAxhLYt3Sk+c6E\nGnPNmvV904OGoKV2JSRhp4W8d/k1KMvdCknjFVAVq0Ev+uljK83BYyp8y+LFpm3mNqj5UfKc\nktdfQmN3LvjIgiOwCmXzOyjCzdu505QWFJpj4CycWFkx6FGToFI8B/vIUIzhkpVrzM5e+e5h\n2Cz2J5AiLy8qNAt3NhuqxjltCkZpfw4VO+cmnY9Czptr/Bow7W4mRpAunlBrbtpQZ+ow5ZWO\nC0eNzoVjc2yU+uqMI9pnSrU3duwyP8czbk+opRN3MlQqx2GEKkhrgTIi12Y9AZW+dnDZH8/T\nV+BkVgQcb5B5Uti5Q4DqmTdDtXJhc7OpKCwyJ1RVmKMrynMHgHI6IAE5SAMi0gUiEE4Cm9FA\n+z0aMFand2+7rgt92b9eV2c5B1TfCqM9gsXyP1q5Gis/jPWPDc83d+w05+Pvdyoj5cvZWL16\nzbq+Bfi8/lU4WD+cNB4Szv5OVRjZZEqa2fj4wrtLLFl5rodh833p2nXmv9u2m59Pn5IpyYxI\nB6XPP7pXqWH6aVSBWwklus9CiY5OgNumoqNhomMqK2X174Ajbq9XYl17Hs75DXC8xkGKeWdn\nlzW9dRj3zUqSzRk+3PAhz0f6KChBAYg7oW7XgPVP/xfQflKUjf8Sync5nGB7M12KQjy5pclS\nz9MmukkqXAUTCAG+h85dstz6/eAzswHP6cKVzWYBOkG+N3F8IHEq0PARCGcLKXyclWIRSDkB\n7ueyFYu4nYvE2ZhZhVGUsKrYtaJhxn1f+KPmbK7y+w1wgurRmHUa838tGuY87zTee9XqdWZ7\njBt9Ou/V54EJ/BTy8nQobEeBd7Ae/hvOwgv4l8nGKXEcTeI/fv7ZqrWezhHz8DQcgpfR2KJx\nfxruOebMM+sZ694l4DENa5zeP2K4SaZzxHh/gs4COkXOOk7phscxssOR1iDsHuzD43SOGAfL\nd1tnh/klZMdlIpDJBH6MUWI+p85nht9Zr9/FiJJMBEhADpLqgQhkKQH2XDudIzubdJK4p0sY\njT18u+AkeRkbs//B6JLTOLLERfRexsbrWzgvSy6BVoySLMAIDPm6jcde6nUo3Ocy8TuflXmo\nc37Gmmjnh5vwcgNZL9vS0WlNB/U6N5hj29ABsAyjOF6s+eNup20wcXjdS0fXHjlynuf75gXs\nLSgTgUwlsB7qjn6qk3x+X8ZzLBMBEpCDpHogAllKwLup1pPZPJ+GXKajYJ68GoN2ut3ZisaA\n9wx03g5Xf2Mn4C4D951+Dqv7ukz5Hq2O8Jz9IxrtOuZloPOJ5DdS/qF/KEHEOVBegoqzf870\nTQSCIaD6GwzXMIZqv9szOu1d6DF+7rnnzG233WZeffVVs8tjz4nt27ebxx57zNxzzz1m9erV\nGZ0fJU4EUkHgwFGjIlS3GC9HWj6BtRZhtD0w7WmIz9opTjPa37XIdm9MafJzqPjy2wvnZckl\nwPJ5H8rJq6HBY/uNCo84Bp8VTouLZvuNKrVOzy0d4TsVr6Kw0FDQIdk2Egp6lOz3Ys3Rrf0C\nEiLhWi2ycRsXNX8M7x2ZCGQqgRqsBawp9hYw4bRgihvJRIAEMt5B6sQagQsvvNBccsklZunS\npebaa681Z511lml1rDVYsWKFOeaYY8y9995r5s+fb8444wzz8ssvq4RFICkEOI2Fizo5vWuw\nGzsmJUExBnJu7Tio8xT2a8iwUcO1ECdUhlOcgI3vS6AqxheXs3nGz9/G4tpK1340pcj/xRNr\nrWvt6/mX9/8AIg3Dk7hYHkGmzKimRiGBV1AvG3d5bxbKhfScYvg/rEOh4lgq7cdgy7JyShGw\n8fzJ0WVxNUDo9L4NFTyupdmRpvViP0S9GurhDJDn4VCR+9DIERbaSXiuvgx1ROePKj+TwU+n\nTISOgl0DIVqBaT5cu7TK8TtmBRLH/5a3tFphfAPPOZ9rJ2t+PrJitPlAb9r5WRDdAABAAElE\nQVTiCDamSylfTsfM6STx82io/TE9tjXh3fk01kL9DUIp76Ac3SqA9nWp+EvWZE72uWZcu/k6\nniG+D/heyHW7bPJEq/PQ+azymTkV0vgzIcwiEwESyMMLy6+DNSMI/eMf/7CcoltvvdXMmDHD\n0GE6//zzTXV1tfn+979vpZEO0+67727OO+8860eII02PPPKIueuuu/r9KHllaBvmS+/Eizsb\nrLy83AxBA7Guri6tP0TZwNLOw00QOvgDpEDZuKFzNAYSttdNm2wt4Lavcf6thIraxo0bnYfS\n+pkNlD9Bye75pu3WD8Iho0eZUyGJHVYFOxvmPPzQM1/L0egZjzr/eeTpgPLRhvz5PPO5dhpV\n6yhJvBoCFdxA93TsA7VPQI1HZ7xBfF6GhvG3lq0w69DQK0C9pBPxOfywXzi+pk9C+18QD7gE\ni/fpGLFZXpifZ76Phv5RrhG2ZKdvxIgR1ju6paXFaojegmfnDZRVGUY6jkaj+jjE73QUosXP\nMvvu8pWmCet3KI3NfHwTje/Pp2EPLzaqb1y3HgIT2621N1VwBM6AM0Spbnd+6BDcjcXeVJFj\nY+vMcWMtNTzmlfLhP1yx2jyLNTx0KLiOh6Oc10JtrjxGeewGKG6x/BfCQaakN8P4KHq9S8H4\nXaxHqsDzcFRZqTkKz0OQxob2X+D4PN5Ime8uyHyXmjOqq1DWPeK4v4ZYwx/wzDkbGJU496sZ\nU1PaCG3EjJMLl60yb+K9YDP/OEb9fganNdmCGeRdVVVlGhoagkQfV9gPY13m5avXYO1mT0nw\n3f+TyROszoq4AgrBxQXo8CL/ZggtNDVFX2fL9+jve2W++bvOTsNDA35m3AjZjpVlLoGMd5Au\nu+wys2bNGnPLLbf0UXzwwQfNL3/5S/Poo49aD8Gxxx5rbr/9djNlyhTrms2bNxse++1vf2v2\n2GOPvvu8PshB8qKiYyRApTcqoDmFDthI4w/MP+fM8tzvI9McpFwqyUI0vvwcpGzhwAb2kfMX\nmm1wGpz9wGz4cW8nbhzKkc7TIcHsPM/8s+7ehMbpRwKcQuJ0kAbDnPtVfQbS2m4hAHs05tMp\nbsgMJi/Oe89fusL8B6MYznzRnZgBR+rOWTMinC3nvfzcCWfos+8sMmvgCDnV8lj+7Pz49d57\nmRLsvVRfX284NT1d9peGjeY67M3klYLheH8++r7dDacHBm3s/z0Vz8ISOJPOcVby4r5N1wcg\nOZ9JDhJHXs9avKyfk0rmHDm5DfWNSo3ZZPE4SJmQbzlImVAK/mno6erxP58RZ9jwcRqn1/Ff\nY2NjX299TU1N3yUVFRWmGJtHshfH6SDxnmeeeabvOn4YP3689a/fwZB+yccPD42jSLLBE7gF\nG5E6nSOGyD44NlL+uXWbOXtCbUQk7E0eiqk2stQT4I8jjX+ztQz+gTrZDJU4d8OTDW5KTH9j\nyiRzByRsvYx199b6TeZAbCIalPFdzffQYCcm/B09uz393f1TSqfgFoxKHFcTvp7XdXBqnvOQ\nOGfDfTEa8AsxVfIDAzivL2B0ai1Gs5zOEQmx/B/BSM5WONCcIMTfgMGWAcNN1H6/oSGijtph\ncbrXY3AST4MzH7T9D/GQrRcvjuJtRrdBbZLXhmXSb8CtcMi9niMeux0dgDfOnhl0EaQ0fLsN\nlM2/ASkFmuOR9fc8MhDG+9//fvPkk0+aN954w+y9997WiNHjjz9upZTDqBs2bLB+DNxOwciR\nI82WLf0lfznkyul5TuP3c845x3ko9J9Hjw52akXoAcWQAUpJb/Zb24HGyFo0RPw4+x2PIVpd\nkgQCdI6y1UGqg+NAB93L2PDsGjbMrEAD2u1A2ddzimEq6udwbl46CFu5aKk1ddArCE4tTEUe\nvOIezLG3Nm4yxZjq2N471ckZVnFBvtkIx3KgfDWgY4ajH5xW6TZOt1yPdxZdx7KyMvfplH1v\nxbtxC6b2+hmdlTqkf6C8+t0fz/GNmN5Jti3oVHAbJZ0b4dDPCeD3MhV5c+fH6/sqPCtextqz\nAlNAMyWdXmkczDG2B91twsGEp3tzk0DGO0hHHHGEeeGFF8w3v/lNM23aNLN27Vpz9NFHm8WL\nF1tTCYowd7TD42XMtUrD0FhwGp2miy++2HnIGmFyr1fod0GIvjC/7MHNlvykGz3n9HMqk9vY\nQBmLUQovzmwYZsuaNne+M/07ew85xasdP/xOEZdMT3c86avAPDmuJ+r0aGSzXhZglJwKTYsR\naGQT2phxOOdVb+NJQ7RrOXLPkQsvpdFo97nP1WCND8cDI58+rPHAOz/IPLjTkqzvo/CbZK8D\ncYfJ46Ph4A6Ur9Fg6+UcMTw6zpW909ao6prOEaQReD/6iWqwXCtQVwfKq5tRIt/J1I85FctY\nJslOB99BO3Zkxl46fN7X453gZbUhfY688mIfC9tvQCnW7ckyl0DGO0gcKr3qqqvM66+/bs2r\n3nPPPa1pdX//+9+tXrIxY8ZYi4I5muR0iPjSc8/v5PkvfelL/UqD12VLg5Y9JnSQyCKdP479\nAIf4y6mVY6zpPO4GCRueh0PS16vesI55HQ8xhtAknXWfjRM2zrO1DD4BB/zn1mqi/u4PnSMq\ni+2COMLJUC97trH/6DkLkRNwT8VC5CDZcHoRO6co0jAYOxYy0ndjtMxthXAQPw9BiiDz4I4z\nWd/HIqA9seZjAd7Pzqm7LBc2ZPeAUzhQvvYZUmQJXmzCSJGzBpDLh9EBSBEEGn8D0rkG6XOo\nZxRoiBy36VH1O2RkajqSyNRyElyjqqQ0B89SFcQlBmJuAY3jf5nUSfZ5lMObmGboLgdUF3MS\n3hfJznscmAK5lO1F/gaw0zwMeZODFEg1SFqgPYtWkhZc8gNatGiRJd+9zz77mMMPP9xaL/TK\nK6+YWbNmWUOoXEPEhtGCBQv6Il+4cKH14+Bcl9R3Uh9EoJfAM1ubLJWsc5cstxTRuADeaWdW\nj7VkfPljQplfTskYhlGKn0+bbGq1zsuJKuM+v4RGwQ9WrDLnLFlmbt5QByU0/yk/yU48pXR/\nsHyVOertheaIt98x38I6gOc91p4kEm85Gny/njHFlKIhQKdoKEaTWD+pYnYBVOxoH8bn706o\nsUZghuAa/uOL/lys+aDMdjqMyms3rl1vzsaC8Z9AXY+MohnV3/4PKmN85viPeWA+T0SnxUlw\nkFJhnLJ4J9d14f1w0bKV5jE4nYPteKIC5gyIKHAUhe8UOjbcl+U3EM/gFLmBrBjvn5tmTDNj\n0ftPBTuGwbLdAx0z5JUpdhbq2mEedY319Vczp5lKpD8VRkZkS8Zkzn80yv9/G89Ithv3q/o6\nyoJ1xH4XkMG38a7Qfj/ZXvrK32AJZLyKHSWTTzrpJHP55Zeb/fbbz1qL9IMf/MBcc801fQIM\nV1xxhaV0d/XVV1vOEs9T8pp/B7JsGkGSzPdApf3e+UuxkP3BzY19PWtsbHLPoDtmz4hQp1uJ\nKQpvQxmM00Y+DGnoaHvnSMXuPcap/sSOEvK/5K355pbVa60edvays2xHYB3Cn6HaFLRj+xc0\nqK+FI+Ds3ScHNn1PQm/udyG1nQyjfPercAK5KH8WGtxee3dQ3phS2XT7P4he1SqMUgRt7L11\njyBxv6YzsKaIQgL8x8Ya+VyERtopkGePZtYeZMgDnRVu2EpJ91TYdnA9feESsw7TNZlmGhuW\nB6LBSUlut7S3dUGM/6OTNQ/vk9UQbeDoBuXmY3GOnMEzTVQo2wjHk7L1e4INjWuPMkHFzk7r\nCrw7KTm/GR0UHD07EPLaJXiPptoegOz6pXgn8DlkaTIFZP47OGsDbQQcb1ozScXOTjs7KP6H\naX/MP/ftqkiRg2rHn6q/HEGKVeY7VWmKFo97llO0a3Uu9QQy3kEikvvvv9/a04iiC5xSd8op\np5gjjzyyjxaPX3rppWbevHnWqNJee+1lOUexDF/KQerDmDMfXkRv/jfRq++edsBpFwdBKvfq\nqZMTZiEHKWF0g76RDtKawiJzxIsvRzgobBBx08yb0SAKytZCAOGY+e9G1Cs7PjoGbJB9EOnI\nVvNykI4Dk1Vg43YayeNByOUH7bQmwvoKNKbv29QYsd6HIz6XYpPJwzNUZjzTHKRE2Cf7ns3o\nKDgMI7nOaY12HFzP9tj7Zg/K4bXDsv9mooNkpy3b/8pByvYSTm3+eiYspzbOuGM77rjjDP9x\nfyNKeLuNSiw33HCDtdiSD8hgFZTc4et7dhF4GlPr3I015pCTsJ6DSpQsvAQeq2/o2zzTmQuO\norDHnSMRQW2Sy2l0HK1q6x1xcMbPz6xzz6A3PZsdJHeeucHqSjhHXkZW3MD45KrUjAp5pcHv\n2JOQ03avPeS1bGQ/CTntTHWQ/PKTy8c53bYAYyf9V231ENkI52kpRrk47VEmAiIgAk4CoXCQ\n7AR7OUf2Of6NZcTIeb0+5yYBTk/ycpBIg40iToEZzBSa3KSaGbmmxLCfDDbLnFOTgtqlqtVD\nWc5JhfG3YlF4LlnbAPltw7OYieYlxW2nk+8PWXgItOG55NQyL+NxnpeJgAiIgJsAZznIRCCn\nCHAdEXuv3cYj3FlczpGbTHi+71tRbvI9ypY5mIiF2iMDXP/wAawDsdereBFjbxTXm+SSTcSa\nIQpKeBlZ7d27dsbrfDqP7QOVNa8fR7435g6wmWs60624IwlwjZHfqC73pZpRElSXSWRadEQE\nRCA8BLx+A8KTeqVUBBIgcCTWD3Bhs9NJonPERbvfmVCbQIi6xUmAI3B1WNy+NSDluHb04K/D\ntC1Ol3PbYWOrzN5owLrLli+67ydJIMEdp/19LzTEPoFF/F7uAI9RSOFQh7LXJkzv4RSfeI0j\nGJy6Rg6ZbnymvjexNsLZoLrYwVjvZ4sLZFo+zoeABOuQ8weSaeaalRMhtpEu44ibX91PdpqC\nfo6TnV6/8KbBAToOktZcP+Y0lu1F42vNECgDykRABETATSBUU+zcidd3EUiEQBF+EP+423Tz\nq3UbIN271Zr2NGfYcHPhhGozC3K5ssQJPIW1G1esXmcae52jOXAKLof88KShg++l5YjDL6AQ\n9zcoUvEznY5j0fD5Npxau5HD0b/b9nqfuXrRYqgUbjGUbt8NafgWGrzJVqvyonQlFM7+hP1f\n7mzYCAexRzZ+OOrbMUjn12qrLSecEteXQOp6de8u9+MxsnXZ5AkYTYk+ukSH8EqwfQjqiwyZ\nDfhTIHn9dYTLxnum2mHokKACJJ+3FVBuK4OYBhX9vjCuKlOTbKagvv5l9kzzc9S311FeZE3J\n5PPHV5thPiNiQWZmF8r+eqTlnl7hCNb9z4DhhajXlP5OtgX5HCc7rbGE90N0jkxFmd6B57IR\ne0hNwMjmOTVj4aSnR/Y+ljTrGhEQgfQSCIWKXZCIpGIXJN3cCzuXVey81AHZdOO0tgegVsaG\n8WCM++c8AofWOY2NDdcDIB3M/WVsmW9uEMjnOhNteUurOXnh4n55YDrp4NyFBjl7u/2M+/G8\nAqEJd/6PxbTC709Kjny4X9yxHvdSsYv1Xl3nT4B7ej0JgQ932X+8rLSf6mYyVOxegNjIeS6V\nz2Q+x/65zI4zUrFLXzlKxS597LMx5uR3PWUjJeVJBERgQAI3rN0QIXHNSWDN6P2+B6M+gzFO\n2fsHRoScDUSGx+/c8HcZHI8w2O831JsupNltPPY7bGjrZ9xL6EWocXnl/95Nmw2ljGXZSYBT\n6twdA8wp6wKdplUYlUum/SLKc3zvIJ/jZKZTYYmACIhAkATkIAVJV2GLQA4R4KaQXsaG3Hxs\njDkYWwIHqNhnGhl3iF/c0jKY4FN27/zmZmt6nDtCOpLv7PTPwyLkbwgWlHsZR5/IR5adBBaj\nbFnHvSyIuh/kc+yVBx0TAREQgUwkIAcpE0tFaRKBEBLwU4jjS6ayaHDT60Zjep7XvjTExP2r\neD4MVhElneVRGDF/nZEDT1aWySUs+Q9DGWVaGqPVfUraJ7vsoz3HY6LU0UzjpvSIgAiIwGAI\nyEEaDD3dKwIi0EfguDEV/dTj7BNs1x+FdTKDsd0htFBTXNxPVYzhsV99FNY47ZOhctHuPHNh\nvZ/K3WfBz88oTT+8IPJ1zSOU0p4ZZe2SX5g6Hg4C78PWA1XFRRF7+bDul0NVL9niIxQ+4do+\ntyXjOXaHqe8iIAIikKkEwtHtmqn0lK60E7Dm4WPh/kKs0RhVWGAOgXRwMhTT0p6xECbgbKhC\nvYMpZK9BSIB7EbHx3o4e7m9BZY0S2IMxhnfD9CnmrMXLzA4o03FKGsOnet2NOE5lwjDYkXAU\n/4V1I89gITxTzH/My9FolPKfn9n5PGfxcmvtiZ1/9vbfMH2yKVi3zhS+M9/kYS1Sx5SppnP2\n7vAeIxu5fuEn4/hLWCP1RsMmk48yn4tGfTwN9w1YY/Y4nmNKn1Oo4tNQvhsaQ5nm19eZwrff\nMnmY3tk5caLpmLMnoIajLsTKnFLpv+it+82dXX11v6S37jsVDBfi2Xt69VqzEWWx5/ASS3nP\nb18wv/jPqRlnvU+DeI794tRxERABEcg0AlKxg9oVVa+ywcrLy80Q9CbX1dUZ7mGR7bYFUtJn\nLFqKfUHaMf2o21ICo8P0Yyh6HRulNz5ILrmsYmdzZUOZUtZswFFla3ISJL7tsFvgHD0BB2MN\nFq7XQB77EMj02lOCwqBid/mqNeZ+SDXTdeETyn8c/frtzGmWBLidT7+/2yEd/gSk1OlQTMRe\nXsz/qCcfN8XP/qvHMeh97jsnTTYtZ54Febzg+8D47F20bKV5Hk4fZdaZNx47Hs/gD2JQ16PI\nxneWr7KcRU4XZIOf08ZuhRQ/y9jPil58wQz55wPYwAx57ILwOepbV9VY0/zVc4wZWuJ3W2iP\nN1t1f6tZi/ddbW/dp3y6bbdCAORX6+uszoJOCKOwLGbB2bwZdavEcZ19/UB/g3yOB4o7zOel\nYpe+0pOKXfrYZ2PMcpDkIIW2Xl+IRtm/m5qwNqV/FthAu3+P3dIykiQHqX9ZpPJbpjtIjzZu\nMT9asTpCpIEbWJ5fW2NOHVsZN66CJYtNya23GLzI+93bjQZx+wEHmvbDDu93PIgvd9RvNL9Y\ntz7iOWTTnXtgcR8kP2vEiNFhby+MUOfjvbtjFOr2WTM8b81fv84Mu/H6iGlnzPeuvfY2bSee\n7Hlfth6chw6JL6GzqH8t6Nkri5ukfi/gTZKzlWsi+ZKDlAi15NwjByk5HBVKD4HsmougUs0Z\nAtxR/ln0PLudIwLg/HmOMshEIJMI/AMjRz1bx/ZPFevwfZDqTsSK/vea5215GG0oeu2/nueS\nffB+pN3rOWRemedo9uzWnqmG7mt479tQPtzoI19eOO9Nz6l0Vr7nvYGhOber4I4hu77T+WbH\nkNs4ov4w5PFlIiACIiAC8RGQgxQfL12dIQS4tw7XYXgZp+k0YfqdTAQyiQCnhPrZNjg0iVje\nzh0Ro0d2OFyXkwprwrQ/P4uWZ97ThHxHc2W2+YSdx2nReAd4GZ0kE4W11z1hP9aI/HrT6NmH\nLBemXIe9DJV+ERCBzCIgBymzykOpiZEA1yiU+6yv4KLm3YcNizEkXSYCqSGw1/DhWF8TGRdf\nwnMSrK9ca8RpZW6j09FZXeM+HMj3OZgK5/VDwrwOJM4xG+qEXK/kZdzjZ4LPGqSu8eN71h55\n3Ng1GmIXUHfLJaPSnZfyHBlMxVo1rkeSiYAIiIAIxE7A63ct9rt1pQikkcAF42siJJO5JL0W\nctCHlJelMWWKWgQiCXxxXBUasfkRU6GoMnZu7bjIG2I40r7v/qYbwizdjgaw5W7ge/vhR8YQ\nwuAvOReqZ+49bNkcZ16Z52j2EciX08FyKrHxejpXVFMrhvCCl+3a50Ome+RI0+06Tw5tRx7t\ndUtWH6PEfhlUPAtcfhDp8T0pEwEREAERiI+A969PfGHoahFIC4EjKkabSydP7BtJYmU+AKpp\nt86a7tubmpaEKtLACXBK5Q+WrTBTH33SzHjmeXPawsXmLSxczySjItttqJvc08k29u7/Hipj\nM0reO2afi+kvRqWav/ZN0zl5St9Ute7yCtNyxldMJ+S+nbYLU9J+sXa9OfDN+eYD/5tnjp3/\nrqGC3GBtJvJzy8zpZgryYhvzeDvyWo3OimjGkY1fz5hqDoManz0ONhL7PV04vtZ8IZpzhRGi\n5nO/YTpnzOxzDrtKS03rKZ83HXvMiRZlVp6jmh0FLfYtK+tzwMeB0c+nTTb7jSr1zfNzKP/j\nF7xr1YePoV5cj/rR7jN10TcQnRABERCBLCQgFTup2GVFteZah2HoTeZ+Mek0qdilnj4FO056\nZ7FZB+lrrj+jsSOdNeEPkIoeaJoXr0+17cQ6mS4kdSR6/ZNm7W1Ye4P1Nz7T9b62ZLl5Ffvk\ncOG+bWT0U3QyHI7OhmRYFyTdu7FXT8Gu9riDowO3HfeOBpO4poRByCEPZd8NZzHXrQwOUjec\n0jXY6qF0gHfh4xB2+D5UFZ1rlzhNb2/Izv8OTrssMQJSsUuMWzLukopdMigqDJtAeluTdir0\nVwQGSYBrktLtHA0yC7o9QQL/2Nxo1jucIwZDF4ANv2vWrOPXjLPh6PFPqnPEHBZjBMfHOaJj\n9Ar2p3I6R7yFjK4Coy6H08TjiVopnsMRCTp93Oy3vKgwPueICcVIiZyj90psGOpWmc/6TPsq\nijZcyXK3D/T+Zf34H+oK90CSiYAIiEAuE5CDlMulr7yLQBYQYIPO3fBntugkLWxuyYIcDj4L\n3CeH4iVeRgU9bj4qyx0CG9p3ma0+CoFcE8f6IhMBERCBXCYgBymXS195F4EsIMDRGO+mPwZV\n3OoBWZDfRLJQgtEZP0YMbxjW/chyh0BJlPJmTVB9yJ26oJyKgAh4E9CvojcXHRUBEQgJgUOw\nwN+r8U8ltE9iTYbMmI9DvMRrlI0/ALMgqDAmx2Sxc71OcEryHJS7VwOgHdPsDhw1KtcRKf8i\nIAI5ToCqyDIREAERiJsA1628gultq1vbzLjiIrNf6UjDdSSpsvwN603BqpXmACxKP6mswty9\ndZsVNddVcLE503ThhMQkjlchT5y6x2lpc0tHmLEDqLG580yxCK7jWI+pa1Svm1Uy1GLVAiGC\n8fhejylOFGn4IGSuJzrU39zhJOt7LaTAL6itNteu22A5k5x+yJc/R9+umDIxWdEMOpwdmO73\nYtM2a/oXHbdMFNiIN5NUWHwRdYF5435Xu0PWPBPs8imTzBcXLTHNEMagU0S5ED4734Ys+KQU\n1MlMYKA0iIAIiIAfATlIfmR0XAREwJdAAxr4Zy9ZZtbAAeBLBNppUB8rNDdBsnkqnIFADU7G\n0HvuMoVvvoFWPmJH4+4y/Dv4xFPMv6rHmy2trWYvNPCOGVNuhibgsF2/Zr35c8NGiH7kMWhr\n5OWC8dXm1LHR9/Sx87y2rc2cs3i5qYO6Gtlw5IZ8KHjNv/xHN5LT/9rgJX0B4Z6H8IO0+Tub\nzS11DdZ+Q1ygz4ZwOUaNbpk5FQ5awOUVY8YoInHBspWWEiH5sNH+ITiQ10+fYjhFMIz2LGS0\nL16+yko6l4C1o7wPhOz2VVMnpbQzwYsdnaAH9phl/r5ps1mws8VUQiDjyIpya18qr+t1TARE\nQARyiUA4f3VyqYSUVxHIQAIXYM8hjhxxpKQV/+gEbIJD8LWlyz2nciUzC8XP/ssUvjXPYI8C\nk0eJZ/TQ56F3/sC77jDXVIwyv5oz25xUNSYh5+hBKOLdCeeIIyytaMy2IQ46E9et3WCpwA2U\nD46qfWPpij5VPbKhQ0SjDIL9mWEyfMbz5/oG8/DmLfgUjDWDzdch8d2EvywvpoHxNnbsgsrf\n+mAijTPUzSjH88CtGc4vHSNyI6PXIRZw1erMVCIcKIvr4ChfBIePdYj/WN7M0wtwBH+5vm6g\n21NyfhQ6GM4YN9ZcN22yuXjieDlHKaGuSERABMJAQA5SGEpJaRSBDCKwvKXVvAN1OLuxbyeN\njb9NuzrMa5iaFqQV/ecFyyGKiANd9LueezbicDwH7qzfGJEv+/6/bdxsf/T9u6C52XIcySJW\nI8e/wCkLyp7DlDVO7XNbB7wkNtYb4Zyk2x5r3Go5be500PF+CE5rGDcvfQhOLxXh3MY83Yu6\nxJE8mQiIgAiIQGYSkIOUmeWiVIlAxhJoQIO60KPhxwRzStlGTL8L0vJ2eksQ58EJ6N40OEdj\no4+zwKbseowIDGScesj1T/Ea7wvKGHa0FG2EU5tuY52yN/l1p4UOJEe/wmZ14E5nyMvosLZ6\nOK1e1+qYCIiACIhA6gnIQUo9c8UoAqEmMBlrF/wafpwexfNBWvfocs/guyE4kD9houe5WA9O\n8VmPwwXsMyEaMJBNxv1kEI/ReZkS4LqtKSgPP/eCPwC1EI1It7HO+DndXH9UzrVmIbOpJUNM\nsY+zPBqb6ZagvspEQAREQAQyk4AcpMwsF6VKBDKWwDgouh0yelTESAlltedAoWvPEcMDTXvb\npw413a5F+5ZLggZn0ScOHlTcX60e6zvacnoMIg3T4OjMhZqfX2PfK3F0kM5CvEHZ/hAFoHKe\nuznOka4TKivMiAxoqB9WPtqUwmlw/yCR45njqnw3uQ2KWTLCPQaCBxQJcY/e8Tk5u2ZcMqJQ\nGCIgAiIgAgERCF+3XEAgFGxqCBS+Pc8UPf9vk791q+mqqjLtn/ik6Zw6LTWRJykW7jJ/84Z6\nsxRrcaqgBPY5CAIcXjE6SaGHI5jLJk80l61aYx7F2hE2vDlC8aGRI1MiGd3x/g+YNqiyDXn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A+M5x2xEVLG/30R6VOnLxqgv21fG8p5gm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\n/HjlpJk2bZoykO666y6FqM17wk0BG0jcpWVS1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l9aXe0BsmAUlrVrPM8YE43ORRzJJIukkfUB38x4pjJD2GXKq0tQBsRNGTvNOU5qKgLe\n5FerLo5DBz3L4J68pGTjnZbHjMtJzTpgKcxQGS2pwHHunrXHvGoxSuz00pq1JRbr6Lz9eyUL\na8qMKiKeKLEY1iPWSWvkNLhbGZUD7uj3wLVA6DzEuc2BhcZKKNfqysp3Iu7szDrWzpfEJ11U\nlyIOxijEcr7Ptl1/upm2wY4r4xKNv860PHepZO2CGoq5SEawdTk8y2Y5s6iMd/Lj/RiKfgVa\nJ0FGjOtHXwd5bpPNgXDhAFHlApHPmQ/JrHz//v1Nz3OcTDZrRVR8+Md4JOoKejwDfS4j9pMu\neUS8i9P9rhHBjn/M2cRUQ4mJiRAFQvP7wd+BgIhJncaMGSPEG6evHwfJAXIwJ2Bqppls4sSJ\nAdVpFw4zDgBNKGLfXpEs8+Sboeqt48RxV7t+7Pxnd79AnEDvIsyzRlSOBEpJVr8B2qlS/SSk\nMQPQjQ8Zc/xcimB5DYWOik4KXKP2mrjjVQNE9e1ABDszSteQWOf4hLpuwf0UbvmnV4OoXPDe\nR4Gc5i/xx3474nEYh0HEq234flpnqWI97Cv7rClvfIGmwmWGboX+0G6UY3nji/cg2mR7BBjI\nHDoMZrJIt3gbzndew0aS27qNaiZzGOIdMe9uAh/K5EJJzmvW3J+uqDKE2K4CRC8977SbyWsG\n6d8FYA3yhfFIVkTkOcUvnVJMPvI+b0KUsT6ik1Ep0dbOHsQevdeijSQfOypX7tgiUbAoFRJ4\nz3KPNGyg5oPtpwFkgZ+MY+Iu3WIE4S/H5pUvuhVrrTzGql9vFJ5rYB1eX9uVWd1XHdr1O7E+\n46G06evSrmmf7PcgxL5UKyXlnYAZ3DwgrzVifwmWQpCJ4hBRJDkHBAAJF3oISHicT21dsV8c\ne2sg8xEAoiSJ7T6M95K+L2yf70ci2SXFm+c2K6k++vtOIwjKWCBFGtc5x3U3ngEiUNpkc8Dm\ngDsHCOmtV47cr545oqudGSI245Hoshcq5Yg9MJMHzvTM5Nu0adOUEkTzGQfHDlKbe+CBB1Rm\n3L59+4YETcKkK/apYHMAQisD46NWrVQ78gwEJ4Ry1mBkVA6hAOOA0Bf35RcStWObGpETbRGG\nOrt3X+sRYkfh5Pi7JfbnnyRq3VoFYZ0HdJOs/gPFGWACVOtGin+FAd7vNIsCtPEeBW1MQZAo\nW9cAkYo0E7v1z6SmKbQyHjcG+MEzAAJgzhqNbsSPL+OHJgEKVxOLCcvcxgDz7UBM0zvzZ8nH\n0bHydeOmciwmVlpC2BjfppW00VmatHrNPr8GyMNrAJAwKkQUqq5HgH4/jGcCAqu3Qbkh0WrB\nOIHpQDk7WKDY1gOU+ZNAxDIDRSBq1aMpqcJ4GRIF7ycaNRDuJjNgmzFXJMZo3VKvttw8/k6J\n/Wm6RO7eJc7YOMnp1Nm1LiDAkmglyj6/m8T88RvN2OqcQHHOumyo67uf/xn8/hVQywieseDo\nUYBjuIRa9qMzdtaT0PYooNxlwtpBagveP4t5qgfhmsT5eRyB2oRnJ1EkohK8DZsN6yAkk4jM\ndyeULH/QuQgl/QX683paukKb470HL+onp1q3kicWLZAWJ0/Ip8kt5EB8OWmCub0Va2Q1Yh0m\nrNzpFrukGtb9Y7/uB0LYVRYIYbUwd1+3Yrt7VAwIobJ7V6kktxdB0CNvvm7ZXNX1G2KqTkFR\n0FQFqiOx4G0m5mwq4r+m428ooMgJ0U1ltKQoDm1NatFU3gEqJNHTsjG/tBxRuSsqCAmVfAbn\n/4m1TqIicDMUcArRtA6WJnFThmiMrwOAYg3WCy04zEtFKHhamEqaGHdWFe+AieA/kTuZOHok\n3o8jCt6PJd0frT3GAPJ59uedxnsIa88kxZ/uy5B9UIzrYkz/AE/DCeBDG5v9aXPA5oB/HICb\nvyZV+HfD8OHDldWIliQSfQJPEUp48mR1zIApJoqlZaksENEwiMd+NlA15ESJxUuapscAp1UN\nP/7D9yRy+zY3tzXu2Oe07yBZV7r7kgaNXxCqy7/8gjiOHBaHbqfVCctBVr/+ktOrd9CaKomK\naEll3jB/6Ff8CN8NiGFNaOQ9FFEoDE9p06IQnnk9BBlCL+vLsSx3Wr+CAKp2WiGgl38FfASK\nn5GP2Rdf4l3ZZGWgHwAV/Z+dnskxXVdduykU8Oh+5Wax0QroPikUUtAmEp9GtKJcBYhho/sW\nxeHqUFAOYS1oCiDv4fjurFdXrodwaUXRvy2S2Ok/uo2ZFqV8INycBLQ5IkKtbvX7/HeA0SbS\nmr5vVDRo3fsB8OFEEbwJytNazJMvKxHvo1XRDEHO7w6ZFHwXAuYHcK808takqDr1enIiEuUG\nH364AtyiCLl6GoqhRhR8r1q/2SdvuGYuBvw5YeTLKtGiOmL9JtmFDQR9BBw3GMZgHVOQDiUx\n2SN3W/n7S8uhTYFzgKkZRm/c6vG+5fr8H95pvtxYGVPB8AObSp4DRD4j/ymTHsVGV7hT3bp1\nw72Lf+v+BbxVZzR3NW/eXPkJalzs1q2bejl4S/iklbU/w4cDEelpErl1i5tyxN4RFS4aeWUc\nR4+EpLNRa/9SdeuFetUuXIhi585WgfghaTgMKn0Tu/RGEYaKB4XsrwE7rdG7e6Dwage6Txoz\nPtrr2oigFc0BX10zPsbMm+MXH99Af/RKgK4p9ZUCH/tm1hdjWSJmfWyIh/oIx2aKO+s7YFCO\nWB+RxN4B7LTmxmdsg4lvY2fP9BgzzzPBbBTyBgWD3gRctZEvPGZCX1o+VsHqtQZ/vpQj9oX3\n0UoVTKI7Innrr3LEtgmjXFLEvnE9+CLybwb4yVw9ZZWIJLkb7o165Yhj4dyQD5wrm8KbA++k\n7zN9x5m908J7JHbvbA7YHCgOBwJWkIhOQVg+zUJEmL4UJGdMTU1V/Vi3bp1ywSOUn01lhwMR\nsDpZutFFRiE2KDQWwYh9eyyZ5ICg5DhectDKlh0J0YWUAjc1Y/UUFNcDllujTacyzX+wUUAr\nF7HXCx/h8uM44l3BZb4lzZ1Ea7c4n1QENsCioqcN2NUzKhq8TtHZSnymW5ZVzI8DbmYOWCdM\nCeOJZBxdMYk5To7gz4w4T1thKWFCX+4u+0u0lJ1E/4JF6XhOAkWY21fg4hisPnirZyPWgb+j\npUsj43bKKm3BerBaCZwjzpVN4c2BzXj3mr2PuIa19214j8Dunc0BmwPB4EDACtKoUaOUCb9p\n06ayYMEC6dOnjwqSGjZsmDz99NMyfvx46dq1qzAAy6aywwEnEKe4825KhBgOEaKQswLatRAu\nGQPlRIzF2UqVLYJ3+VDW1m0wME7HimoVlFPzZ8VH3Oz0gfLCWAwKp8GkWobEr1pfzdqwapm8\nqAT3OzPi2lDAHGYX4WqRzzVdTCLIgJXyw/NMblod8+OvAsDukM90owwWFQWdkLEnJUU1Edfk\nL9HS4m29+1tPaZWrERVtqSCxT0WZq9Iay9+1XT7PVqR/L1uVsc/bHLA5cIYDZl4jZ66G97eA\nfyUZY8FMtkzylIndW7rcEbVu1apVMmHCBNm1a5eKQQrvYdu9M3Igr3ETcQIpy7hzRiUlv2Yt\nyQfkcigot21702oZg6SQyhBTdbbSCIAbMDbBSJyDIQhY1+hKBC0zdsVIfHiJ9kTKbdtOfRr/\nMYYst1VrAU6m8ZLbMRH3LqtezbQ/WsFAXhYsO7ygb9r9DLw2q4NjMztP3lyEmBRLZQKKU267\nDm5Ihlpb8OlS1wqPi/iFfSDYgpmSRNe/AUBgI3JgeShS/hDrGYzAdPI7WFQZfOhuQC/0VfcV\nhrnxVb44163m3VgnOUhghOaIoSmr1Bvr1WxqKXITJp1zZVN4c8Db+9b4Tgvvkdi9szngyQGm\n48mm10EJ/DEetbSBaTw54P+ZgEEa9FVTM9QGT5c7YpYT1Y7JoMoK2SANZ2YqIj1d4j94VxzZ\nBVDNmF9aeE6NvUWc1V2oa2dKB+9bJOKQ4r/4zIVCViBdUCE7NWYcEAvKlrAUCEgDd8sf3L5T\nfgHymSaA023rPsALXwPEOD09m7pb/gewAM3KQ3cdQlMTbUujyM2bJP6zT1x85EmUya9VW079\n4xZBymmtmMcn3ch+OHhI6B60DMhbdL+isKqBWVOk43OeAFSyy6AsvAlAAH1/68BCkI57iEpG\nYt+I2kXkMyMxzomxSfpxUMmjgH8/eMEaqCDm438zzP07zZKAlGemHhbUjE2acgAXiUBOrDwH\n4L5RARPM7hp+tdTAJg6JMS3TgLJHaPJGEMAvhyJoJahGbtooUfgj73KbNZe8lq3kNF7yt23Z\nIQzeJtIX+0hb61NA6ru4ABqZAA23bdleCOnMMRDhj3FKmhLcPmOvXIM8Rn2BJOYA+p5Sagss\nOZz3n4FouBqxTOUx3otQr0IphFti9PKlEoGgb6Iz5nTsJE6AsRjpMH70xm3epuDEfVmzOqD9\nj4HcpifCk/8IHhFQoTbmcyA2vjZiPSw9dkKiIxzSq0plYZ4tX2QG0sB7iOL4oWHeo9VyUf/U\nnBPh8T3MdyDocW7zRWh3bgaEkIjuOA3Pyka4YdEaNADPgxGO+s9jx+X/tqWoeDvXWhaFTvku\nxhYMCxLX8VTdeubGBlEYCebyK9wTT2ItNcXa6485iy5BS2EI2R7UqpmegLFu27G+TwKtkuud\n+eS4EUJ4d9JTO3fLdwfc37cE2bjN5J1m7JwN0mDkSMkd2yANvnlNAJ0sP9Nx+K7NewnmL9Ln\nMPJeOvyuFktBMhtOWlqa3H777TJlyhSzy2F3zlaQDFMC5SiKcWQI+M+HhSO3FfLNhHDXkxDf\n5d5+0xVrxLgMCtn4gc+6fKjkdO1u6Fz4HwaiIGmjoVDMpKC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0fRG3UxTimuGzYta3k+jbbli2Ewssb0Wp377H5oDNAZsDYcsBePREvv4K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cIbkX95ODsMIsxNohTDxz4nyZcUAJkhS+OK44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\n119Nqa6+UJg7R2bjKILHfsTwLH8zeojYYVMxKSkaR6yES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Ve5mxRPSCP9x8po9jKaYqS+boMyzp0DSjJPDz1Yh+WjR8uU8nIZiR07s7CN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\nFfj/a19Wstz51zsAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(df,aes(Room.Board,Grad.Rate)) + geom_point(aes(color=Private))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Erstelle ein `histogram` der Vollzeit Undergrad Studenten, eingefärbt nach `Private`.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AABAgQIECBAgEBZBQSkgozsI488krT0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\nSCUC/w+uyGzj4kqN2wAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(df,aes(F.Undergrad)) + geom_histogram(aes(fill=Private),color='black',bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Erstelle ein `histogram` der `Grad.Rate` und verwende eine Farbgebung nach `Private`.**\n",
    "*Hinweis: Hier sollte dir etwas Komisches auffallen!*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ggplot(df,aes(Grad.Rate)) + geom_histogram(aes(fill=Private),color='black',bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Welches College hat eine Abschlussrate von über 100%?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Private</th><th scope=col>Apps</th><th scope=col>Accept</th><th scope=col>Enroll</th><th scope=col>Top10perc</th><th scope=col>Top25perc</th><th scope=col>F.Undergrad</th><th scope=col>P.Undergrad</th><th scope=col>Outstate</th><th scope=col>Room.Board</th><th scope=col>Books</th><th scope=col>Personal</th><th scope=col>PhD</th><th scope=col>Terminal</th><th scope=col>S.F.Ratio</th><th scope=col>perc.alumni</th><th scope=col>Expend</th><th scope=col>Grad.Rate</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Cazenovia College</th><td>Yes </td><td>3847</td><td>3433</td><td>527 </td><td>9   </td><td>35  </td><td>1010</td><td>12  </td><td>9384</td><td>4840</td><td>600 </td><td>500 </td><td>22  </td><td>47  </td><td>14.3</td><td>20  </td><td>7697</td><td>118 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllll}\n",
       "  & Private & Apps & Accept & Enroll & Top10perc & Top25perc & F.Undergrad & P.Undergrad & Outstate & Room.Board & Books & Personal & PhD & Terminal & S.F.Ratio & perc.alumni & Expend & Grad.Rate\\\\\n",
       "\\hline\n",
       "\tCazenovia College & Yes  & 3847 & 3433 & 527  & 9    & 35   & 1010 & 12   & 9384 & 4840 & 600  & 500  & 22   & 47   & 14.3 & 20   & 7697 & 118 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Private | Apps | Accept | Enroll | Top10perc | Top25perc | F.Undergrad | P.Undergrad | Outstate | Room.Board | Books | Personal | PhD | Terminal | S.F.Ratio | perc.alumni | Expend | Grad.Rate | \n",
       "|---|\n",
       "| Cazenovia College | Yes  | 3847 | 3433 | 527  | 9    | 35   | 1010 | 12   | 9384 | 4840 | 600  | 500  | 22   | 47   | 14.3 | 20   | 7697 | 118  | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                  Private Apps Accept Enroll Top10perc Top25perc F.Undergrad\n",
       "Cazenovia College Yes     3847 3433   527    9         35        1010       \n",
       "                  P.Undergrad Outstate Room.Board Books Personal PhD Terminal\n",
       "Cazenovia College 12          9384     4840       600   500      22  47      \n",
       "                  S.F.Ratio perc.alumni Expend Grad.Rate\n",
       "Cazenovia College 14.3      20          7697   118      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "subset(df,Grad.Rate > 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Ändere dessen Abschlussrate zu 100%.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df['Cazenovia College','Grad.Rate'] <- 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train Test Split\n",
    "**Teile deine Daten in Trainings- und Testdaten im Verhältnis 70/30 auf. Verwende dazu die `caTools` Library.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "The downloaded binary packages are in\n",
      "\t/var/folders/l_/ph09zg211515zffvzrp3bb680000gn/T//Rtmp06FKEb/downloaded_packages\n"
     ]
    }
   ],
   "source": [
    "# install.packages(\"caTools\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "library(caTools)\n",
    "\n",
    "set.seed(101) \n",
    "\n",
    "sample = sample.split(df$Private, SplitRatio = .70)\n",
    "train = subset(df, sample == TRUE)\n",
    "test = subset(df, sample == FALSE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Entscheidungsbaum\n",
    "**Nutze die `rpart` Library um einen Entscheidungsbaum zu erstellen, der vorhersagt ob ein College eine öffentliche oder private Einrichtung ist.**\n",
    "\n",
    "*Hinweis: Achte darauf hier nur die Trainingsdaten zu verwenden.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘rpart’ was built under R version 3.4.3”"
     ]
    }
   ],
   "source": [
    "library(rpart)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tree <- rpart(Private ~.,method='class',data = train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Nutze `predict()`, um die \"Private\" Einteilung für die Testdaten vorherzusagen.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tree.preds <- predict(tree,test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Schaue dir den Head der Vorhersage an.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Adrian College</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "\t<tr><th scope=row>Alfred University</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "\t<tr><th scope=row>Allegheny College</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "\t<tr><th scope=row>Allentown Coll. of St. Francis de Sales</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "\t<tr><th scope=row>Alma College</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "\t<tr><th scope=row>Amherst College</th><td>0.003311258</td><td>0.9966887  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & No & Yes\\\\\n",
       "\\hline\n",
       "\tAdrian College & 0.003311258 & 0.9966887  \\\\\n",
       "\tAlfred University & 0.003311258 & 0.9966887  \\\\\n",
       "\tAllegheny College & 0.003311258 & 0.9966887  \\\\\n",
       "\tAllentown Coll. of St. Francis de Sales & 0.003311258 & 0.9966887  \\\\\n",
       "\tAlma College & 0.003311258 & 0.9966887  \\\\\n",
       "\tAmherst College & 0.003311258 & 0.9966887  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes | \n",
       "|---|---|---|---|---|---|\n",
       "| Adrian College | 0.003311258 | 0.9966887   | \n",
       "| Alfred University | 0.003311258 | 0.9966887   | \n",
       "| Allegheny College | 0.003311258 | 0.9966887   | \n",
       "| Allentown Coll. of St. Francis de Sales | 0.003311258 | 0.9966887   | \n",
       "| Alma College | 0.003311258 | 0.9966887   | \n",
       "| Amherst College | 0.003311258 | 0.9966887   | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                                        No          Yes      \n",
       "Adrian College                          0.003311258 0.9966887\n",
       "Alfred University                       0.003311258 0.9966887\n",
       "Allegheny College                       0.003311258 0.9966887\n",
       "Allentown Coll. of St. Francis de Sales 0.003311258 0.9966887\n",
       "Alma College                            0.003311258 0.9966887\n",
       "Amherst College                         0.003311258 0.9966887"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(tree.preds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dir sollte auffallen, dass wir hier aktuell noch zwei Spalten haben.\n",
    "\n",
    "**Wandle diese beiden Spalten in eine neue Spalte um, die der ursprünglichen Yes/No Einteilung entspricht.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tree.preds <- as.data.frame(tree.preds)\n",
    "# Es gibt viele Wege dies zu tun!\n",
    "joiner <- function(x){\n",
    "    if (x>=0.5){\n",
    "        return('Yes')\n",
    "    }else{\n",
    "        return(\"No\")\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tree.preds$Private <- sapply(tree.preds$Yes,joiner)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th><th scope=col>Private</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Adrian College</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "\t<tr><th scope=row>Alfred University</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "\t<tr><th scope=row>Allegheny College</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "\t<tr><th scope=row>Allentown Coll. of St. Francis de Sales</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "\t<tr><th scope=row>Alma College</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "\t<tr><th scope=row>Amherst College</th><td>0.003311258</td><td>0.9966887  </td><td>Yes        </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & No & Yes & Private\\\\\n",
       "\\hline\n",
       "\tAdrian College & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\tAlfred University & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\tAllegheny College & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\tAllentown Coll. of St. Francis de Sales & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\tAlma College & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\tAmherst College & 0.003311258 & 0.9966887   & Yes        \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes | Private | \n",
       "|---|---|---|---|---|---|\n",
       "| Adrian College | 0.003311258 | 0.9966887   | Yes         | \n",
       "| Alfred University | 0.003311258 | 0.9966887   | Yes         | \n",
       "| Allegheny College | 0.003311258 | 0.9966887   | Yes         | \n",
       "| Allentown Coll. of St. Francis de Sales | 0.003311258 | 0.9966887   | Yes         | \n",
       "| Alma College | 0.003311258 | 0.9966887   | Yes         | \n",
       "| Amherst College | 0.003311258 | 0.9966887   | Yes         | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                                        No          Yes       Private\n",
       "Adrian College                          0.003311258 0.9966887 Yes    \n",
       "Alfred University                       0.003311258 0.9966887 Yes    \n",
       "Allegheny College                       0.003311258 0.9966887 Yes    \n",
       "Allentown Coll. of St. Francis de Sales 0.003311258 0.9966887 Yes    \n",
       "Alma College                            0.003311258 0.9966887 Yes    \n",
       "Amherst College                         0.003311258 0.9966887 Yes    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(tree.preds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Verwende jetzt `table()`, um eine Confusion Matrix zu erstellen.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     \n",
       "       No Yes\n",
       "  No   57   9\n",
       "  Yes   7 160"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(tree.preds$Private,test$Private)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Verwende die `rpart.plot` Library und die `prp()` Funktion, um das Entscheidungsbaummodell zu plotten.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MA1uu46fXRtLgsBCECgLQiM2BalpJAQ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9N+Mqasy8Cr35jlZlb/lnRVFuxlDAk/kV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pn758+Z9NnZ58zscl4DyUPn3peMkHwgGS8h\nQQACEIAABCAAAQg0MIGNpftEyW4NaMPU0vlhyWuS/g2oPypDAAIQgAAEIAABCEAAAnVEwMO+\nxkmOqCOdSlWlnwq8KHlSMk2phckPAQhAAAIQgAAEIAABCEDABBaXeOGYM/ylwdNs0t+BEO6S\n9GxwW1AfAhCAAAQgAAEIQAACEKgyAc/J+ERytSR7XkWVVSlbc55j8qnkSkmz2FQ2OFQEAQhA\nAAIQgAAEIAABCOQmMKt2vyO5W9JsvS1LyKZvJadJSBCAAAQgAAEIQAACEIAABAoS6KujL0ie\nkji6VzOm1WTUj5JGnlfVjOcFmyAAAQhAAAIQgAAEIFBXBBzx7SHJ6xKHOm7mtImMc2S+XZvZ\nSGyDAAQgAAEIQAACEIAABDpHwGsG3Sz5SDKwc1U0XKk/SeNJki0aTnMUhgAEIAABCEAAAhCA\nAAQqSuBC1f6lZMGKtlJ/lf9VKrVJ1qo/1dAIAhCAAAQgAAEIQAACEKgFgX+p0TGSZWvReB20\neaJ0+F6yTB3oggoQgAAEIAABCEAAAhCAQA0J7K+23YOydg11qHXTDvl9seQLyfy1Vob2IQAB\nCEAAAhCAAAQgAIHaENhBzXoOzla1ab6uWvUcrFslH0jmlJAgAAEIQAACEIAABCAAgRYisJFs\ndRS33VvI5o5MdRS/RySvSvp3lJnjEIAABCAAAQhAAAIQgEBzEFhZZoyTHNkc5pTVin6q7SXJ\nE5JpylozlUEAAhCAAAQgAAEIQAACdUdgMWn0jeTMutOsfhSaTaq8J7lT0rN+1EITCEAAAhCA\nAAQgAAEIQKCcBIaqsk8k10i6l7PiJqxrHtn0meQKiYM4kCAAAQhAAAIQgAAEIACBJiIwi2x5\nR3KPpFcT2VVJU4ap8m8lp1ayEeqGAAQgAAEIQAACEIAABKpLoK+ae17ytGTa6jbd8K2tJgt+\nlBzW8JZgAAQgAAEIQAACEIAABCAQ9BaDByVvSGaCR6cI/EalHPFvl06VphAEIAABCEAAAhCA\nAAQgUBcEvLbPTZKPJIPqQqPGVWJHqe41ozZvXBPQHAIQgAAEIAABCEAAAq1N4AKZP1qyUGtj\nKJv1B6mm8ZI1y1YjFUEAAhCAAAQgAAEIQAACVSFwvFoZK1muKq21TiP/kanfS5ZuHZOxFAIQ\ngAAEIAABCEAAAo1NYD+pP0GyTmObUZfaO+T3JZIvJPNLSBCAAAQgAAEIQAACEIBAHRPYXrp5\nrszWdaxjo6s2lQy4TfKBZA4JCQIQgAAEIAABCEAAAhCoQwIbSidHW9ujDnVrNpX6yKBHJa9I\nZmw247AHAhCAAAQgAAEIQAACjU5gZRkwTnJUoxvSQPrPIF1fkjwumaaB9EZVCEAAAhCAAAQg\nAAEINDWBRWXd15KzmtrK+jRudqn1vuQOiYfekSAAAQhAAAIQgAAEIACBGhIYorZHSa6VdJeQ\nqk9gXjX5meRyiYM4kCAAAQhAAAIQgAAEIACBGhCYRW2+LblX0qsG7dPkLwSGafM7ySm/7GIL\nAhCAAAQgAAEIQAACEKgWgenV0HDJM5LpqtUo7RQk8Csd/VFyaMFcHIQABCAAAQhAAAIQgAAE\nykqgt2p7QPKGZEBZa6ayrhLYVBU4kuDOXa2I8hCAAAQgAAEIQAACEIBAxwR6KMuNkpGSQR1n\nJ0cNCPxZbXotqt/WoG2ahAAEIAABCEAAAhCAQEsROF/WjpYs1FJWN56xB0vl8ZI1Gk91NIYA\nBCAAAQhAAAIQgEBjEDhOao6VLN8Y6ra8lieJwPeSpVqeBAAgAAEIQAACEIAABCBQZgL7qr4J\nknXLXC/VVY6AQ35fKvlcMl/lmqFmCEAAAhCAAAQgAAEItBaB38tcz2n5XWuZ3RTWevHY/0pG\nSOZoCoswAgIQgAAEIAABCEAAAjUksIHads/RnjXUgaa7RqCPij8meUUyY9eqojQEIAABCEAA\nAhCAAARal8BKMv0HydGti6BpLJ9BlrwseVxih4kEAQhAAAIQgAAEIAABCJRAYFHl/Vpydgll\nyFrfBGaXeu9Lbpd46B0JAhCAAAQgAAEIQAACECiCwBDlGSW5TtJdQmoeAvPKFAdtuEziIA4k\nCEAAAhCAAAQgAAEIQKAAgZl17G3JfZJeBfJxqHEJLCnVv5Oc3LgmoDkEIAABCEAAAhCAAAQq\nT2B6NfGc5BnJdJVvjhZqSGB1te2FZA+poQ40DQEIQAACEIAABCAAgbol0Fua3S95UzKgbrVE\nsXIS2EyVOXz7TuWslLogAAEIQAACEIAABCDQ6AQ8z+gGyUjJ4EY3Bv1LImDnyE6SnSUSBCAA\nAQhAAAIQgAAEICAC50m+kiwMjZYk8DdZ7eF2q7ek9RgNAQhAAAIQgAAEIACBFIF/aHusZIXU\nPjZbj4ADNjhww5KtZzoWQwACEIAABCAAAQhA4CcC++hjgmQ9gLQ8AYf8duhvhwB3KHASBCAA\nAQhAAAIQgAAEWorAdrLWc0+2aSmrMbYQgal00IvIejFZLypLggAEIAABCEAAAhCAQEsQWF9W\nuudor5awFiNLIdBHmR+TvCyZoZSC5IUABCAAAQhAAAIQgEAjElhRSv8gOaYRlUfnqhCYUa28\nIrGjZIeJBAEIQAACEIAABCAAgaYksIis+lpyblNah1HlJDCHKhsh+a/EQ+9IEIAABCAAAQhA\nAAIQaCoCc8majyXXS7zuEQkCHRGYTxkctOFSiYM4kCAAAQhAAAIQgAAEINAUBGaWFW9J/ifp\n1RQWYUS1CCylhr6XnFStBmkHAhCAAAQgAAEIQAAClSQwvSp/TvKsZLpKNkTdTUtgDVnmhWT/\n1rQWYhgEIAABCEAAAhCAQEsQcG+Re43ce+ReJBIEOkvgtyrosPB/7mwFlIMABCAAAQhAAAIQ\ngEAtCXiekecbed6R5x+RINBVAjurAjtJm3a1IspDAAIQgAAEIAABCECg2gQcqe4riSPXkSBQ\nLgKHqqIfJb8qV4XUAwEIQAACEIAABCAAgUoTOFYNeK0jr3lEgkC5CZyiCr+TLFnuiqkPAhCA\nAAQgAAEIQAAC5SawtyqcIFm/3BVTHwR+JuCQ35dLPpPM+/M+PiAAAQiwHgDXAAQgAAEIVJXA\nDGptbslQyUx5Wh6m/btKLpY8k5Vnir5/Inlf8oHEUclIEMgmMEA7fI35WvM1F6cw3vj503Pc\ndpfMLnGPZUfXk6+/UZL4+mvTNgkCEGgyAn57QoIABCAAAQhUksCw7t2779GjR4+tJ06c6HDd\nwbTTTjthwIABk7t1++nfUBhmP7cGPZRtcrZSkydPDj7//POeqmcqHQunnnrqkePHjz9H2/8n\n+TI7P99bisAqPXv23EvX0saTJk3qY8v79es3YcYZZ2x3HWVTUZmc11t2vhzX30ep6290dn6+\nQwACEIAABCAAAQhAIE1gIzkwXrsoXHnllcdfdtll4fPPPx9+++23eh7tfJoyZUr4ySef/H97\ndwJjRbUmALgcECXuiAjojIgrLmPiFsRM3DAGMRp0omNcEjUqxkx8GKOjiSgm6ghRZ2QmYzRx\nxwUjD3fRSORJVJ4YFURBXJ64v6AoPLUXoOY/NX17bnffvt2N3fT2VXLtulWntq9+9fy3zjmV\nL1y4ML/11lvzkSNH1kQCVh+V48fiWHuVn4D5fiFw3lZbbbU8ku2NJ510Ut3s2bPzJUuW5OvW\nrdv0IKuyZYq/r7/+On/99dfzW265JR8xYkSKv7r4AWBWaKcnViYCBAgQIECAAAECTQS2jArj\nf0SFdcPkyZM3LFu2rEp18/evil/18+eeey4fN25c3cCBA/8WZzKpydn40lcFtomk+PG45/VX\nX331xs8///z3B9Mm7CHF37PPPpuPHTu2tiH+Tuur4K6LAAECBAgQIECg4wK7DRo06M877rhj\n7auvvroJ1c1N3yRVVKdNm7YxJWaRoN0ep56a4Zn6psD+8dRo5e67716Tnkr2hCnF39SpU0vx\nNyPYU7M9EwECBAgQIECAQD8W2D4qrX858sgja1MTpO6aXn755Xy77barjSZP6R1Kpr4nsFs8\nOfpxwoQJdWvWrOmuMGv1uPPmzcu33XbbFH//3ffoXREBAgQIECBAgEC7BaJ50R9HjRpVs3bt\n2lYrj5trReofEk+RUuf8c9p9AQr2BoGB8YRy0RFHHFFbV1e3ucKpw8dZsGBBKf7+pTegOkcC\nBAgQIECAAIHOF5gSFdf6pUuXdrgy2VUbzJgxI49f8X+LSz2g8y/XHrtDIJLeO2Jkutqvvvqq\nq8Km0/Z72223pfj7NZzGdIeVYxIgQIAAAQIECHSfwLCouNbfd999rVYuV6xYkc+ZMyd///33\nWy2TRgdLZebPn99qmY6uOPnkk+uj2d+fuo/GkTtR4KDYV56aUJZPKVlKcfPMM8/kKYaqTe+8\n806bcVht+46sS+eSRtWL+HutEw3sigABAgQIECBAoBcIXJc6y6dO6q1NaTjkuI585513zr/7\n7ruKxeLdNUWZQw89tOL6TVmYOvCn48bHr/i9IJCqnWIk4f8T/dtqmsfBL7/8ku+9997Ffb7n\nnnuar278vmrVqtQ3LR88eHC+fPnyxuVdOfP222+n80ovl9232rVZR4AAAQIECBAg0HcEBsQv\n5N9Onz69aj2zlCDFZeeTJk2qWLYrEqR0oEi40ntqZvYd8n55JdtFH7dfH3300Yqx09DnLN9+\n++3zL7/8smKZeJpTJFEzZ86suL6rFh5yyCE1ccfu7Jd3zUUTIECAAAECBPqhwMSouK5fvXp1\n1fplKUGK0ceKSmqlim5XJUgPPvhg3vB+mq374f3pK5d8aRo6PqZW42zKlClFbE2cOLFFmdT8\nMyDyE088sc1meC02/p0L7r///hR/6+L4g/rKzXAdBAgQIECAAAECrQtMjRHFfmurDllKkK67\n7ro8JUlDhgzJv/322yabVUuQUsX4sccey9P26fPEE0/kqWlVe6bvv/++qBzHJaQ+LKbeKXDP\nmWeeub7a/f7111/zffbZp7jXjzzySGPRNOR8JFf5TjvtlFca3KG+vj6fO3dufuONN+bXXntt\nEVtpX5Wmb775Jr/rrrvyK664Ir/55puL7dL21aYU50GePgYL6Z2x56wJECBAgAABAu0XiKZr\nD5577rmtdz5qqDmWEqSU2Nx0001FhfG0005rUq9sLUFK/YhKfUxSH5LUjCrOsFi2aNGiJvto\n7cvWW29dH9uc2v4rU7InCUS/oddT8tLWtHDhwjS8dr7LLrvkP/74Y1H8jDPOKOKl0lPLTz/9\nNI9+TcX6FFepj1xcdz5mzJgWA4q88soreTQnLdancjFqYzF/+OGHV0y8ys81yq6P/U7sSabO\nhQABAgQIECBAoAsEouK66IYbbiivC1acL0+Q0i/uaSCGOJ28/Jf+SglS+iV/v/32y7fZZpvi\nCVIaCCKNDvbUU08VHe5HjhyZ//zzzxWPWb4wniyk4Zb/0AUEdrkZBCLB/free+8tv6Wtzl95\n5ZVFbF122WX5888/X8yfddZZLcqnOErJTUqoHn744camd2mUvPSEc999983Lm/Ttueee+dCh\nQ/Nly5YV+1q3bl3xNDMuP7/mmmta7L98wejRo1P8/etmoHIIAgQIECBAgACB7hSIBKldFdfy\nBClVHJcsWVL8Ap8qoqnZUpoqJUh33HFHUcFNT52aT7fffnuxLjWNamsaP3586ig/ozutHHvT\nBSKJqX/xxRfbus3F+pRUp+QmJT4jRozIUxJdeppUvoPUZDPOKD/llFPKFxfz119/fbHu7rvv\nLr7/9ttvxf6OOeaYxkQqraipqclTbL/wwgtFudb+cdxxx6X4u23TBWxJgMDmFPi7zXkwxyJA\ngACBviWwxRZb/DX6+HT4og4++OAsKqFZVFyzyZMnt7p9vDepWHfOOee0KBNN+4plixcvbrGu\n+YLoB5KGWv5r8+W+9w6BaKK2pr1xFkl7FgMjFBcW972Yj/5HLS70rbfeKpYdf/zxWSTsTT4H\nHPB/3YVKsRVPsLKjjz46W7BgQTZu3LjszjvvzD766KMsmtxl0fQvmzBhQov9ly9oiL+O/4tS\nvhPzBAgQIECAAAECPV9gwIABj1144YXV384ZP6s3f4KUfmlPTe0OO+yw4pf6hx56qOITpLFj\nx+aRhOV1dXUVf5yPynC+//77V1xXvjCa6NWG5hk9X9QZVhKI+/xWe5pylt/z1E8o9RlqbYqX\nCBexF8dr9e+xxx7buHka7COeBDUpm5rdpfMqb4rXuEHZTJx/XRxnUqVrs4wAgZ4nMLDnnZIz\nIkCAAIHeIhB9gj5dsWJFSj46PIR2DH2cPfDAA1kkSVmMCpZFZbTFZUdik0U9M4smTlmMftdk\nfSRNWTRxytKv+9Wmn376KYsR79IQy59XK2ddzxWIBGRFDKhwRJxhp7V8KcXNrFmzsl133bXi\nxcfADY3Lhw0bls2fPz/7+OOPs2jul7300kvZa6+9lk2bNi178803s3nz5jWWLZ/54YcfUvym\n4P2sfLl5AgR6rkCn/Yem516iMyNAgACBLhRY+u677w6Ifh+bdIiDDjoomzp1arZmzZrs0ksv\nbbGPGFyhWPbhhx+2WLd8+fIiedpjjz1arCtfEC8RzVIflli2sny5+d4jEAMqLI1kJI2n3Wkn\nHf2Uin2lJOiEE05o8klJezrW8OHDizKRYGcxQl4WPwZkabuU0KckKYYNz3bbbbcsBnbIoi9d\nxXNriL/0BOmTigUsJECAAAECBAgQ6FMCW8eTnZ/bGmGsUhO7Uguk1NQujSYWKsUnjXBXmuJX\n+mLZqaee2qRzfFqfRiZL28RTqFLxin/j5aC10RRwVp9S738Xs2s0tWz3QA0pENpqYvfGG28U\nzTePOuqoonlnefBEn7cittKw9Gl67733iu8pTptP0Scpj/jK40lR81XF9+jjlOLvof53y1wx\nAQIECBAgQKD/Csw48MADayrWDhsWVkuQUpEPPvig8b0y5QlSWjdp0qSicjpx4sR8zpw5xcs5\nS8suvvjiFolT2qY0pffcxG1JAzQc1X9vT9+48kjEZ8dgCJU7o5VueNnfthKkVPSCCy4oYisG\nYMgff/zxIr7OP//8YllKysunUv+j9P6ulJSn5Om8884ryp5++unlRRvnV65cWYq/I/vGXXAV\nBAgQIECAAAEC7RHYKwptjD4YjRXD5jNtJUipfKlM8wQpDdCQhl1O70KK4xSfvfbaK08vDk3v\nsqk2XXLJJRuio/6y9lyEMj1e4J/iKdLGNER8e6b2JEjpvVrTp0/Pd9hhh8bYSoOCpJfLxshz\nTQ6zevXq/Oyzzy6eFpXiML24+PLLL291EJGLLrooxd+SHi/rBAkQIECAAAECBDpXIPr4/GcM\npVxbeqdRk5plJ31JydAnn3ySr1q1ql17fPLJJ1MTqg1xpcd17tXaW3cJxMAef4yR42rWrl3b\nrhjoSKEvvviiaErX1ouH0wti0xPPGKyhaoKenkg1xN8x3eXluAQIECBAgAABAt0nsGW8q2Zx\nDMtdm/oUdfcUnenzGKUsdYy/rvtIHLkLBLaPJzJ/iSZt3R9kVYI8BhBJ8ZcGBvm3LjCwSwIE\nCBAgQIAAgV4i8PfRT+SnaIa0Pka1q1J97NpVKTmKpwy1kbC9FG5b9BI7p9l+gX+MQQ9qp0yZ\nsnH9+vVdG0ybsPeUHI0aNSrF3wvir/03VUkCBAgQIECAQF8VODwqht+MGTOmJnVQ39zT7Nmz\niydHDcnRDn0V2XVlJ0Zzu59iBLna5n2FNnfMlR8vDdyQnhw1JEf//xIlN4wAAQIECBAgQKBf\nC+wcT5JeGTx4cN3MmTPzrugvUl4pTfOpb1KMaLehoc9HalbnyVHfD8F/iETknSFDhtSmUeXi\nZazNw2KzfU8/BqQBGRriLzWrE399P/5cIQECBAgQIECgQwKpgnh1JEo/pr5AkydP3rB48eJO\nrcSm9848/fTT+fjx42vjWBujb8oH8fe4Dp2lwr1dYFAMEPLv8TTpbzGiXO1VV121cenSpXlt\nbW2XJ0cp/ubOnZun9xwFYoq/pfHXgAy9PaKcP4EQ8AuHMCBAgACBrhQYFDv/50iS/lBTU3NE\nzOdDhw6tGz16dD58+PAB1Q4cv8a3WJ0GgPjss882xEh2A6Of05ZROa6PcrNjuOb/isJvtdjA\ngv4isE1c6DmRpFwRydEBERP5sGHDamM4+CzirWqctQZULf5ixLuB8cQqxV9dWfwtam1flhMg\n0LsEWv7fp3edv7MlQIAAgd4jsGuc6t7x2TM+o+OzU3w6+v+h9NLXr+LzecNnZfz9JT4mAiWB\n3WMmxVfps11pRcPfjsZc+ebl8fdZrPgkPuKvXMg8AQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIDA5hT4X8a+F5nwvsoiAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(rpart.plot)\n",
    "prp(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest\n",
    "\n",
    "Jetzt erstellen wir ein Random Forest Modell!\n",
    "\n",
    "**Rufe das `randomForest` Package auf.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "randomForest 4.6-12\n",
      "Type rfNews() to see new features/changes/bug fixes.\n",
      "\n",
      "Attaching package: ‘randomForest’\n",
      "\n",
      "The following object is masked from ‘package:ggplot2’:\n",
      "\n",
      "    margin\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(randomForest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Jetzt verwende `randomForest()`, um ein Modell zu erstellen, dass die \"Private\" Klasse vorhersagt. Füge `importance=TRUE` als Parameter zum Modell hinzu.**\n",
    "\n",
    "*Hinweis: Du kannst mit `help(randomForest)` herausfinden, was dadurch passiert.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rf.model <- randomForest(Private ~ . , data = train,importance = TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Wie ist die Confusion Matrix deines Modells auf den Trainingsdaten? Nutze `model$confusion`.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th><th scope=col>class.error</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>No</th><td>125       </td><td> 23       </td><td>0.15540541</td></tr>\n",
       "\t<tr><th scope=row>Yes</th><td> 10       </td><td>386       </td><td>0.02525253</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & No & Yes & class.error\\\\\n",
       "\\hline\n",
       "\tNo & 125        &  23        & 0.15540541\\\\\n",
       "\tYes &  10        & 386        & 0.02525253\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes | class.error | \n",
       "|---|---|\n",
       "| No | 125        |  23        | 0.15540541 | \n",
       "| Yes |  10        | 386        | 0.02525253 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "    No  Yes class.error\n",
       "No  125  23 0.15540541 \n",
       "Yes  10 386 0.02525253 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rf.model$confusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Zeige mit `model$importance` die Wichtigkeit der einzelnen Eigenschaften an.**\n",
    "\n",
    "*Schaue zusätzlich an, was \"Gini\" bedeutet. Die Universität Berkley bietet dazu eine gute [Quelle](https://www.stat.berkeley.edu/~breiman/RandomForests/cc_home.htm).*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>No</th><th scope=col>Yes</th><th scope=col>MeanDecreaseAccuracy</th><th scope=col>MeanDecreaseGini</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Apps</th><td>0.030638008 </td><td>0.0138490702</td><td>0.0183834770</td><td> 8.191846   </td></tr>\n",
       "\t<tr><th scope=row>Accept</th><td>0.031590637 </td><td>0.0157698867</td><td>0.0199998841</td><td>13.280573   </td></tr>\n",
       "\t<tr><th scope=row>Enroll</th><td>0.036691206 </td><td>0.0284928559</td><td>0.0307724157</td><td>20.832978   </td></tr>\n",
       "\t<tr><th scope=row>Top10perc</th><td>0.008783509 </td><td>0.0041456953</td><td>0.0053787323</td><td> 5.250942   </td></tr>\n",
       "\t<tr><th scope=row>Top25perc</th><td>0.007412220 </td><td>0.0044694518</td><td>0.0052145181</td><td> 4.501693   </td></tr>\n",
       "\t<tr><th scope=row>F.Undergrad</th><td>0.154011049 </td><td>0.0748721489</td><td>0.0962450156</td><td>40.463681   </td></tr>\n",
       "\t<tr><th scope=row>P.Undergrad</th><td>0.048475334 </td><td>0.0073411365</td><td>0.0184278295</td><td>15.656301   </td></tr>\n",
       "\t<tr><th scope=row>Outstate</th><td>0.141095168 </td><td>0.0613496370</td><td>0.0830099419</td><td>42.602561   </td></tr>\n",
       "\t<tr><th scope=row>Room.Board</th><td>0.021518748 </td><td>0.0144101817</td><td>0.0163546192</td><td>11.415365   </td></tr>\n",
       "\t<tr><th scope=row>Books</th><td>0.001852497 </td><td>0.0002509989</td><td>0.0007121824</td><td> 2.248328   </td></tr>\n",
       "\t<tr><th scope=row>Personal</th><td>0.003032677 </td><td>0.0016272012</td><td>0.0019899372</td><td> 3.288314   </td></tr>\n",
       "\t<tr><th scope=row>PhD</th><td>0.006891102 </td><td>0.0048891976</td><td>0.0054043435</td><td> 4.401988   </td></tr>\n",
       "\t<tr><th scope=row>Terminal</th><td>0.005552642 </td><td>0.0041588988</td><td>0.0045469137</td><td> 4.373904   </td></tr>\n",
       "\t<tr><th scope=row>S.F.Ratio</th><td>0.031130358 </td><td>0.0096029611</td><td>0.0153991012</td><td>15.809862   </td></tr>\n",
       "\t<tr><th scope=row>perc.alumni</th><td>0.021092075 </td><td>0.0041202501</td><td>0.0087216547</td><td> 5.065061   </td></tr>\n",
       "\t<tr><th scope=row>Expend</th><td>0.025496668 </td><td>0.0134694646</td><td>0.0166589911</td><td>10.504956   </td></tr>\n",
       "\t<tr><th scope=row>Grad.Rate</th><td>0.017449980 </td><td>0.0055589660</td><td>0.0088252942</td><td> 7.442815   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & No & Yes & MeanDecreaseAccuracy & MeanDecreaseGini\\\\\n",
       "\\hline\n",
       "\tApps & 0.030638008  & 0.0138490702 & 0.0183834770 &  8.191846   \\\\\n",
       "\tAccept & 0.031590637  & 0.0157698867 & 0.0199998841 & 13.280573   \\\\\n",
       "\tEnroll & 0.036691206  & 0.0284928559 & 0.0307724157 & 20.832978   \\\\\n",
       "\tTop10perc & 0.008783509  & 0.0041456953 & 0.0053787323 &  5.250942   \\\\\n",
       "\tTop25perc & 0.007412220  & 0.0044694518 & 0.0052145181 &  4.501693   \\\\\n",
       "\tF.Undergrad & 0.154011049  & 0.0748721489 & 0.0962450156 & 40.463681   \\\\\n",
       "\tP.Undergrad & 0.048475334  & 0.0073411365 & 0.0184278295 & 15.656301   \\\\\n",
       "\tOutstate & 0.141095168  & 0.0613496370 & 0.0830099419 & 42.602561   \\\\\n",
       "\tRoom.Board & 0.021518748  & 0.0144101817 & 0.0163546192 & 11.415365   \\\\\n",
       "\tBooks & 0.001852497  & 0.0002509989 & 0.0007121824 &  2.248328   \\\\\n",
       "\tPersonal & 0.003032677  & 0.0016272012 & 0.0019899372 &  3.288314   \\\\\n",
       "\tPhD & 0.006891102  & 0.0048891976 & 0.0054043435 &  4.401988   \\\\\n",
       "\tTerminal & 0.005552642  & 0.0041588988 & 0.0045469137 &  4.373904   \\\\\n",
       "\tS.F.Ratio & 0.031130358  & 0.0096029611 & 0.0153991012 & 15.809862   \\\\\n",
       "\tperc.alumni & 0.021092075  & 0.0041202501 & 0.0087216547 &  5.065061   \\\\\n",
       "\tExpend & 0.025496668  & 0.0134694646 & 0.0166589911 & 10.504956   \\\\\n",
       "\tGrad.Rate & 0.017449980  & 0.0055589660 & 0.0088252942 &  7.442815   \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | No | Yes | MeanDecreaseAccuracy | MeanDecreaseGini | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Apps | 0.030638008  | 0.0138490702 | 0.0183834770 |  8.191846    | \n",
       "| Accept | 0.031590637  | 0.0157698867 | 0.0199998841 | 13.280573    | \n",
       "| Enroll | 0.036691206  | 0.0284928559 | 0.0307724157 | 20.832978    | \n",
       "| Top10perc | 0.008783509  | 0.0041456953 | 0.0053787323 |  5.250942    | \n",
       "| Top25perc | 0.007412220  | 0.0044694518 | 0.0052145181 |  4.501693    | \n",
       "| F.Undergrad | 0.154011049  | 0.0748721489 | 0.0962450156 | 40.463681    | \n",
       "| P.Undergrad | 0.048475334  | 0.0073411365 | 0.0184278295 | 15.656301    | \n",
       "| Outstate | 0.141095168  | 0.0613496370 | 0.0830099419 | 42.602561    | \n",
       "| Room.Board | 0.021518748  | 0.0144101817 | 0.0163546192 | 11.415365    | \n",
       "| Books | 0.001852497  | 0.0002509989 | 0.0007121824 |  2.248328    | \n",
       "| Personal | 0.003032677  | 0.0016272012 | 0.0019899372 |  3.288314    | \n",
       "| PhD | 0.006891102  | 0.0048891976 | 0.0054043435 |  4.401988    | \n",
       "| Terminal | 0.005552642  | 0.0041588988 | 0.0045469137 |  4.373904    | \n",
       "| S.F.Ratio | 0.031130358  | 0.0096029611 | 0.0153991012 | 15.809862    | \n",
       "| perc.alumni | 0.021092075  | 0.0041202501 | 0.0087216547 |  5.065061    | \n",
       "| Expend | 0.025496668  | 0.0134694646 | 0.0166589911 | 10.504956    | \n",
       "| Grad.Rate | 0.017449980  | 0.0055589660 | 0.0088252942 |  7.442815    | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "            No          Yes          MeanDecreaseAccuracy MeanDecreaseGini\n",
       "Apps        0.030638008 0.0138490702 0.0183834770          8.191846       \n",
       "Accept      0.031590637 0.0157698867 0.0199998841         13.280573       \n",
       "Enroll      0.036691206 0.0284928559 0.0307724157         20.832978       \n",
       "Top10perc   0.008783509 0.0041456953 0.0053787323          5.250942       \n",
       "Top25perc   0.007412220 0.0044694518 0.0052145181          4.501693       \n",
       "F.Undergrad 0.154011049 0.0748721489 0.0962450156         40.463681       \n",
       "P.Undergrad 0.048475334 0.0073411365 0.0184278295         15.656301       \n",
       "Outstate    0.141095168 0.0613496370 0.0830099419         42.602561       \n",
       "Room.Board  0.021518748 0.0144101817 0.0163546192         11.415365       \n",
       "Books       0.001852497 0.0002509989 0.0007121824          2.248328       \n",
       "Personal    0.003032677 0.0016272012 0.0019899372          3.288314       \n",
       "PhD         0.006891102 0.0048891976 0.0054043435          4.401988       \n",
       "Terminal    0.005552642 0.0041588988 0.0045469137          4.373904       \n",
       "S.F.Ratio   0.031130358 0.0096029611 0.0153991012         15.809862       \n",
       "perc.alumni 0.021092075 0.0041202501 0.0087216547          5.065061       \n",
       "Expend      0.025496668 0.0134694646 0.0166589911         10.504956       \n",
       "Grad.Rate   0.017449980 0.0055589660 0.0088252942          7.442815       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rf.model$importance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vorhersagen\n",
    "\n",
    "**Nutze jetzt dein Random Forest Modell, um Vorhersagen für die Testdaten zu treffen.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "p <- predict(rf.model,test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     \n",
       "p      No Yes\n",
       "  No   58   7\n",
       "  Yes   6 162"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(p,test$Private)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Es sollte besser performt haben, als ein einzelner Entscheidungsbaum. Wie viel besser liegt vor allem daran, ob man \"recall\", \"precision\" oder \"accuracy\" als das wichtigste Gütekriterium festlegt.\n",
    "\n",
    "# Gut gemacht!"
   ]
  }
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