Multiple Linear Regression.ipynb

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  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CsOhuCyH6eES"
   },
   "source": [
    "# Regression\n"
   ]
  },
  {
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   "execution_count": 114,
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     "output_type": "stream",
     "text": [
      "Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
     ]
    }
   ],
   "source": [
    "from google.colab import drive\n",
    "drive.mount('/content/drive')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "executionInfo": {
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "pd.set_option(\"display.max_columns\",100)\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.linear_model import Ridge,Lasso\n",
    "from sklearn.linear_model import ElasticNet\n",
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "from sklearn.ensemble import GradientBoostingRegressor\n",
    "from sklearn.tree import ExtraTreeRegressor\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from xgboost import XGBRegressor\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error,r2_score,mean_absolute_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
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   "source": [
    "def algo_test(x,y):\n",
    "        L=LinearRegression()\n",
    "        R=Ridge()\n",
    "        Lass=Lasso()\n",
    "        E=ElasticNet()\n",
    "        ETR=ExtraTreeRegressor()\n",
    "        GBR=GradientBoostingRegressor()\n",
    "        kn=KNeighborsRegressor()\n",
    "        dt=DecisionTreeRegressor()\n",
    "        xgb=XGBRegressor()\n",
    "       \n",
    "        \n",
    "        algos=[L,R,Lass,E,ETR,GBR,kn,dt,xgb]\n",
    "        algo_names=['Linear','Ridge','Lasso','ElasticNet','Extra Tree','Gradient Boosting','KNeighborsRegressor','Decision Tree','XGBRegressor']\n",
    "        \n",
    "        x_train, x_test, y_train, y_test=train_test_split(x,y,test_size=.2,random_state=42)\n",
    "        \n",
    "        r_squared= []\n",
    "        rmse= []\n",
    "        mae= []\n",
    "        \n",
    "        result=pd.DataFrame(columns=['R_Squared','RMSE','MAE'],index=algo_names)\n",
    "        \n",
    "        \n",
    "        for algo in algos:\n",
    "            p=algo.fit(x_train,y_train).predict(x_test)\n",
    "            r_squared.append(r2_score(y_test,p))\n",
    "            rmse.append(mean_squared_error(y_test,p)**.5)\n",
    "            mae.append(mean_absolute_error(y_test,p))\n",
    "        \n",
    "        result.R_Squared=r_squared\n",
    "        result.RMSE=rmse\n",
    "        result.MAE=mae\n",
    "        \n",
    "        rtable=result.sort_values('R_Squared',ascending=False)\n",
    "        return rtable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
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    "id": "sisoXg6U6qYD"
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   "outputs": [],
   "source": [
    "df = pd.read_csv('/content/drive/Othercomputers/My Laptop/0 Yaz Kampı/Day 4/HW/advertising.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "O1no0CV563iZ"
   },
   "source": [
    "## EDA"
   ]
  },
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       "      <th>0</th>\n",
       "      <td>230.1</td>\n",
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       "      <td>69.2</td>\n",
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       "      <th>1</th>\n",
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       "      TV  Radio  Newspaper  Sales\n",
       "0  230.1   37.8       69.2   22.1\n",
       "1   44.5   39.3       45.1   10.4\n",
       "2   17.2   45.9       69.3    9.3\n",
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      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 200 entries, 0 to 199\n",
      "Data columns (total 4 columns):\n",
      " #   Column     Non-Null Count  Dtype  \n",
      "---  ------     --------------  -----  \n",
      " 0   TV         200 non-null    float64\n",
      " 1   Radio      200 non-null    float64\n",
      " 2   Newspaper  200 non-null    float64\n",
      " 3   Sales      200 non-null    float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 6.4 KB\n"
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       "      <th>count</th>\n",
       "      <td>200.000000</td>\n",
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       "      <th>mean</th>\n",
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       "      <th>std</th>\n",
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       "      <th>min</th>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.000000</td>\n",
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       "      <th>25%</th>\n",
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       "      <th>75%</th>\n",
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       "            + ' to learn more about interactive tables.';\n",
       "          element.innerHTML = '';\n",
       "          dataTable['output_type'] = 'display_data';\n",
       "          await google.colab.output.renderOutput(dataTable, element);\n",
       "          const docLink = document.createElement('div');\n",
       "          docLink.innerHTML = docLinkHtml;\n",
       "          element.appendChild(docLink);\n",
       "        }\n",
       "      </script>\n",
       "    </div>\n",
       "  </div>\n",
       "  "
      ],
      "text/plain": [
       "               TV       Radio   Newspaper       Sales\n",
       "count  200.000000  200.000000  200.000000  200.000000\n",
       "mean   147.042500   23.264000   30.554000   14.022500\n",
       "std     85.854236   14.846809   21.778621    5.217457\n",
       "min      0.700000    0.000000    0.300000    1.600000\n",
       "25%     74.375000    9.975000   12.750000   10.375000\n",
       "50%    149.750000   22.900000   25.750000   12.900000\n",
       "75%    218.825000   36.525000   45.100000   17.400000\n",
       "max    296.400000   49.600000  114.000000   27.000000"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 175
    },
    "executionInfo": {
     "elapsed": 13,
     "status": "ok",
     "timestamp": 1659443187216,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "Gt7L2YVFB1kk",
    "outputId": "737cfc05-ff0c-43cc-af94-4d2ff44dafd8"
   },
   "outputs": [
    {
     "data": {
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       "      <th>TV</th>\n",
       "      <th>Radio</th>\n",
       "      <th>Newspaper</th>\n",
       "      <th>Sales</th>\n",
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       "      <th>TV</th>\n",
       "      <td>1.000000</td>\n",
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       "      <td>0.354104</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sales</th>\n",
       "      <td>0.782224</td>\n",
       "      <td>0.576223</td>\n",
       "      <td>0.228299</td>\n",
       "      <td>1.000000</td>\n",
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       "    .colab-df-convert:hover {\n",
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       "\n",
       "    [theme=dark] .colab-df-convert {\n",
       "      background-color: #3B4455;\n",
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       "\n",
       "    [theme=dark] .colab-df-convert:hover {\n",
       "      background-color: #434B5C;\n",
       "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
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       "          document.querySelector('#df-c62b5b09-4d64-4b54-b361-5f6a8586cac4 button.colab-df-convert');\n",
       "        buttonEl.style.display =\n",
       "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
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       "        async function convertToInteractive(key) {\n",
       "          const element = document.querySelector('#df-c62b5b09-4d64-4b54-b361-5f6a8586cac4');\n",
       "          const dataTable =\n",
       "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
       "                                                     [key], {});\n",
       "          if (!dataTable) return;\n",
       "\n",
       "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
       "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
       "            + ' to learn more about interactive tables.';\n",
       "          element.innerHTML = '';\n",
       "          dataTable['output_type'] = 'display_data';\n",
       "          await google.colab.output.renderOutput(dataTable, element);\n",
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       "          docLink.innerHTML = docLinkHtml;\n",
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       "  "
      ],
      "text/plain": [
       "                 TV     Radio  Newspaper     Sales\n",
       "TV         1.000000  0.054809   0.056648  0.782224\n",
       "Radio      0.054809  1.000000   0.354104  0.576223\n",
       "Newspaper  0.056648  0.354104   1.000000  0.228299\n",
       "Sales      0.782224  0.576223   0.228299  1.000000"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 12,
     "status": "ok",
     "timestamp": 1659443187216,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "7WBJvUTHC-Wc",
    "outputId": "c5eafc11-4b62-4f4d-a341-f914dae3f67a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sales        1.000000\n",
       "TV           0.782224\n",
       "Radio        0.576223\n",
       "Newspaper    0.228299\n",
       "Name: Sales, dtype: float64"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr().Sales.sort_values(ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 726
    },
    "executionInfo": {
     "elapsed": 7194,
     "status": "ok",
     "timestamp": 1659443194401,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "J-TSyoLvC-N-",
    "outputId": "22e18b86-f6da-4bf1-bacc-73cc49568c89"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(data=df);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 296
    },
    "executionInfo": {
     "elapsed": 18,
     "status": "ok",
     "timestamp": 1659443194401,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "DxQTisbd7H09",
    "outputId": "4bef8713-15cc-484b-f840-8efe4335f797"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fc5a3623e90>"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x='TV', y='Sales')\n",
    "sns.scatterplot(data=df, x='Radio', y='Sales')\n",
    "sns.scatterplot(data=df, x='Newspaper', y='Sales')\n",
    "plt.xlabel('Investment')\n",
    "plt.legend(['TV', 'Radio', 'Newspaper'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "eXqVDrPm65_-"
   },
   "source": [
    "## Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 349
    },
    "executionInfo": {
     "elapsed": 16,
     "status": "ok",
     "timestamp": 1659443194402,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "aPbA1nOc6-Vo",
    "outputId": "ead8c567-9bb1-4a2e-e5f8-36b0645d7d0b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[12:26:34] WARNING: /workspace/src/objective/regression_obj.cu:152: reg:linear is now deprecated in favor of reg:squarederror.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"df-ce62c0e9-c0f4-4c6e-9d89-60555a8f969b\">\n",
       "    <div class=\"colab-df-container\">\n",
       "      <div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>R_Squared</th>\n",
       "      <th>RMSE</th>\n",
       "      <th>MAE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Gradient Boosting</th>\n",
       "      <td>0.983662</td>\n",
       "      <td>0.718109</td>\n",
       "      <td>0.614782</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XGBRegressor</th>\n",
       "      <td>0.981966</td>\n",
       "      <td>0.754458</td>\n",
       "      <td>0.623961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Decision Tree</th>\n",
       "      <td>0.941459</td>\n",
       "      <td>1.359320</td>\n",
       "      <td>1.022500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>KNeighborsRegressor</th>\n",
       "      <td>0.910620</td>\n",
       "      <td>1.679625</td>\n",
       "      <td>1.189000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Extra Tree</th>\n",
       "      <td>0.909381</td>\n",
       "      <td>1.691227</td>\n",
       "      <td>1.327500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lasso</th>\n",
       "      <td>0.900401</td>\n",
       "      <td>1.773046</td>\n",
       "      <td>1.452202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ElasticNet</th>\n",
       "      <td>0.899961</td>\n",
       "      <td>1.776959</td>\n",
       "      <td>1.456659</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ridge</th>\n",
       "      <td>0.899438</td>\n",
       "      <td>1.781599</td>\n",
       "      <td>1.460766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Linear</th>\n",
       "      <td>0.899438</td>\n",
       "      <td>1.781600</td>\n",
       "      <td>1.460757</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>\n",
       "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-ce62c0e9-c0f4-4c6e-9d89-60555a8f969b')\"\n",
       "              title=\"Convert this dataframe to an interactive table.\"\n",
       "              style=\"display:none;\">\n",
       "        \n",
       "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
       "       width=\"24px\">\n",
       "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
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       "  </svg>\n",
       "      </button>\n",
       "      \n",
       "  <style>\n",
       "    .colab-df-container {\n",
       "      display:flex;\n",
       "      flex-wrap:wrap;\n",
       "      gap: 12px;\n",
       "    }\n",
       "\n",
       "    .colab-df-convert {\n",
       "      background-color: #E8F0FE;\n",
       "      border: none;\n",
       "      border-radius: 50%;\n",
       "      cursor: pointer;\n",
       "      display: none;\n",
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       "      height: 32px;\n",
       "      padding: 0 0 0 0;\n",
       "      width: 32px;\n",
       "    }\n",
       "\n",
       "    .colab-df-convert:hover {\n",
       "      background-color: #E2EBFA;\n",
       "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
       "      fill: #174EA6;\n",
       "    }\n",
       "\n",
       "    [theme=dark] .colab-df-convert {\n",
       "      background-color: #3B4455;\n",
       "      fill: #D2E3FC;\n",
       "    }\n",
       "\n",
       "    [theme=dark] .colab-df-convert:hover {\n",
       "      background-color: #434B5C;\n",
       "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
       "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
       "      fill: #FFFFFF;\n",
       "    }\n",
       "  </style>\n",
       "\n",
       "      <script>\n",
       "        const buttonEl =\n",
       "          document.querySelector('#df-ce62c0e9-c0f4-4c6e-9d89-60555a8f969b button.colab-df-convert');\n",
       "        buttonEl.style.display =\n",
       "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
       "\n",
       "        async function convertToInteractive(key) {\n",
       "          const element = document.querySelector('#df-ce62c0e9-c0f4-4c6e-9d89-60555a8f969b');\n",
       "          const dataTable =\n",
       "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
       "                                                     [key], {});\n",
       "          if (!dataTable) return;\n",
       "\n",
       "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
       "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
       "            + ' to learn more about interactive tables.';\n",
       "          element.innerHTML = '';\n",
       "          dataTable['output_type'] = 'display_data';\n",
       "          await google.colab.output.renderOutput(dataTable, element);\n",
       "          const docLink = document.createElement('div');\n",
       "          docLink.innerHTML = docLinkHtml;\n",
       "          element.appendChild(docLink);\n",
       "        }\n",
       "      </script>\n",
       "    </div>\n",
       "  </div>\n",
       "  "
      ],
      "text/plain": [
       "                     R_Squared      RMSE       MAE\n",
       "Gradient Boosting     0.983662  0.718109  0.614782\n",
       "XGBRegressor          0.981966  0.754458  0.623961\n",
       "Decision Tree         0.941459  1.359320  1.022500\n",
       "KNeighborsRegressor   0.910620  1.679625  1.189000\n",
       "Extra Tree            0.909381  1.691227  1.327500\n",
       "Lasso                 0.900401  1.773046  1.452202\n",
       "ElasticNet            0.899961  1.776959  1.456659\n",
       "Ridge                 0.899438  1.781599  1.460766\n",
       "Linear                0.899438  1.781600  1.460757"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "algo_test(df.drop(columns='Sales'), df.Sales)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "executionInfo": {
     "elapsed": 293,
     "status": "ok",
     "timestamp": 1659443472696,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "8MUGEW-VBbcP"
   },
   "outputs": [],
   "source": [
    "x_train, x_test, y_train, y_test = train_test_split(df.drop(columns='Sales'), df.Sales, test_size=.2 ,random_state=25)\n",
    "reg_model = Lasso()\n",
    "reg_model.fit(x_train, y_train)\n",
    "y_pred = reg_model.predict(x_test) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 2,
     "status": "ok",
     "timestamp": 1659443473827,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "nTQKjjY6iBnu",
    "outputId": "9ca94674-8d02-4140-e8bc-b0ebf4f436e3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sabit değer: 3.2295\n",
      "Index(['TV', 'Radio', 'Newspaper'], dtype='object')\n",
      "Katsayılar: [ 0.0459  0.1787 -0.0015]\n"
     ]
    }
   ],
   "source": [
    "print(\"Sabit değer: %.4f\" % reg_model.intercept_)\n",
    "print(x_train.columns)\n",
    "print(\"Katsayılar: \" + str(np.around(reg_model.coef_, 4)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "N01EeEvmiIbE"
   },
   "source": [
    "Sales=3.2295 + TV×0.0459 + Radio×0.1787 + Newspaper×-0.0015"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 296
    },
    "executionInfo": {
     "elapsed": 395,
     "status": "ok",
     "timestamp": 1659443559740,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "k4qPct5eZ_9L",
    "outputId": "03fc2084-6f25-4800-9aef-366035333219"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fc5a358e210>"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_test['Sales'] = y_test\n",
    "x_test['Predictions'] = y_pred\n",
    "sns.scatterplot(data=x_test, x='TV', y='Sales')\n",
    "sns.scatterplot(data=x_test, x='Radio', y='Sales')\n",
    "sns.scatterplot(data=x_test, x='Newspaper', y='Sales')\n",
    "plt.xlabel('Investment')\n",
    "plt.legend(['TV', 'Radio', 'Newspaper'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 296
    },
    "executionInfo": {
     "elapsed": 606,
     "status": "ok",
     "timestamp": 1659443796412,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "8AB8GhW3dCQU",
    "outputId": "f580810b-a52e-41a4-bfc8-b53c36a054bb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc5a32361d0>"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nVMqpXxK3ZVTiF5FQla4ePuuO5ys+V1Mwey6pnlNK/CISqtLVw11NPWVvvrjXtpHGkLYblTdSUj2nlPhF5BPO+OVzzHi1LXT8sfMOjmWKad67sCbVlkOJX0QAeG/VR+xd5UbkQOxXD4ftEY+YuH+q+ttvqKTacijxixRctVk5T33vULbbclMWLFuVyNXDYXvEM15t4533OzK/559UWw4lfpECqpbs99thK+4+87PrLUvq6uGwPeK1JXJx/4Wk2nIo8Utq5fmkXhJmzF3CGbe1ho6ncQpmpT3iSYftzO3PLMxNi+ok2nIo8WdQERJi3k/qxana3v2bPxpPnxS/n517xCMm7s+MV9tYW4Lbn1nIog86ctmiOi5K/BlTlIRYhFsrRqlasv/xP+7BSfuOjDGa3mlqMvYYMYh33u/IZYvqJCjxp0g9e/J5TIiV1ruId5/qrWo3IofkSzm9OVLNY4vqJCnxp0S9e/J5S4hh6z16+MBC3H2qt1Z+uIbdL/ld6HjSyb5TI45U89CiOi2akg5AysL25BcsW7Xe8zpnOXS1oQmxVHLmt6/k6TeXMr99JaWS1/6hBgtb77UlmDJhzLp11aH9+ponP0jz5AcrJv0n/uUQFlx9bGqSPtT/9y3x0B5/StS7J9+oeb9pOVcQtt7tKzt0aN9Nyw+ns3TlRxXHDv70EG47fb+YI6pf3o5Us06JPyXqvYKvUbXOtJwrqLbeOrSH5xa8y4k3PB06nqa9+mqKcuP4rFDiT4me7Mk3IiGmZQ8szzcU741qs3LmXXkMG/XJVpVW2zldlPgjVu9MhrhnLaRlD0yzNT5WLdlf+oXRfP2AHWKMprG0ndPFPr5/enq1tLR4a2v4FYdplZY6etZiK5Ip019n6ow3QsezUsqRdDKzWe7e8onlSvzRmd++kvFTZ35ir3paSubcdx6NaA8sXn/7aA2jL07/FEzJvrDEr1JPhNJSRw+jk6fxqlbKefTcg9hp6MAYo5EiU+KPUFrq6JKcfa98lPYVH1Yc23WbgTx8zkExRySixB8pzWQopjnvfMBx//b70HGVciRpSvwRqjWToQhdNoukWinntR+OY5ON+sQYjUi4yBK/md0KHAe0ufvuwbKtgLuAZmABMMHd34sqhjQIq6NrVk0+VEv2F47/DP980KgYoxGpT2SzeszsIGAl8Ksuif8a4F13v9rMJgNbuvv3a/2urM7qqSbtM34k3I1PvslVD70aOq5SjqRF7LN63P0pM2vutvh44JDg8W3AE0DNxJ9HaZ/xI+v7cM1adrno4dBxJXvJkrhr/MPcfVHweDEwLOyJZjYRmAgwcmR2bhpRL834yYZqpZxpkw5k9LabxxiNSGMkdnLX3d3MQutM7n4TcBOUSz2xBRYTzfhJr5NufJpn33q34ti2W/Tjj+cfHnNEIo0Vd+JfYmbD3X2RmQ0H2mJ+/dRIS+8SzSwqm9++ksOufTJ0XKUcyZO4E//9wGnA1cHX+2J+/VRJ+spZzSyqXsqZe/k4Nt1YUzAlf6Kcznkn5RO5g83sbeASygn/bjM7A1gITIjq9aW2tPTkj1u1ZH/xcaM5/fPZ7YIpUo8oZ/WcEjKkAmlKFGlm0T2z3ua8/34hdFylHCkSXblbYHmfWbR6bYmdL3wodFzJXopKib/A8jqzqFop54HvfJ7dR2wRYzQi6aPEX2BpmVnUCBN/1cojryypOLbT0AE8eu7BMUckkl5K/AWX9Myi3lj8QQf7XzUjdFylHJHKlPglc6qVcl6+7Gg220R/1iLV6H+IZMIuFz3Eh2tKFce+d/QunH3oTjFHJJJdSvySWo+/1sY3fvFc6LhKOSIbRolfUqVUckZdMC10XMlepPeU+LtQ35rkVKvbPzjp8+y2raZgijSKEn9AfWvi97Mn5nHNw69VHBs7chD3nnVAzBGJFIMSf6CofWvi9u6qjxh7xfTQcZVyRKKnxB8oUt+aJFQr5bxy+dH031h/iiJx0f+2QN771iThxBv+yHML3qs4ds0JezKhZfuYIxIRUOJfJ699a+L2/J/f4ys/+2PouEo5IslT4g/kqW9N3NydHc4Pn4L51lXjMdP7KJIWSvxdZLlvTRJ0I3KRbFLilx659fdvcfkDr1QcO3zXodzy9X1jjkhEekqJX2r64O+r2euyR0LHVbcXyRYlfglVrZTz0qVHMbBf3xijEZFGUeKX9Zx6y7PMfGNpxbErjt+NUz/bHG9AItJwhUj86sFT3by2FRwx5anQcZVyRPIl94lfPXgq0xRMkeLKfeJXD571ffaqGSz6oKPi2H1nH8Be2w+KOSIRiVvuE7968MC0lxZx1h3PVxw7qWV7fnzCnjFHJCJJyn3iL2oPnr99tIbRF/8udFx1e5Hiyn3iL1oPHk3BFJFacp/4i9CD54oHXuGW379VcezaE/fiH/fZLuaIRCTNcp/4IZ89eBYsXcUhP32i4lj/jfvwyuXj4g1IRDKjEIk/T6qVcjQFU0TqocSfAYf99AnmL11VcUw3IheRnlLiT6kZc5dwxm2tFce+uNe2TD1l75gjEpG8yG3ir9WmIY1tHDpWr2XXHzwcOq4pmCLSCLlM/LXaNKStjUO1uv3si49kUP+NY4xGRPIukcRvZguAFcBaYI27tzTy99dq05CGNg6/fmYhF/3PnIpjV355d776D5+KJQ4RKZ4k9/gPdffK/X97qVabhqTaOLQt72C/H80IHVcpR0TikMtST602DXG3cahWypn/o/GJn1sQkWJJKvE78IiZOXCju9/U/QlmNhGYCDBy5Mge/fJabRriaONw1bS53PjU/Ipj0//vQew8bGDDXktEpCfM3eN/UbMR7v6OmQ0FpgPfcffQO4G0tLR4a2vlqY1hOmfthLVpqDW+IV7563LGT51ZcezMg0dx/jGf6dXvFxHpCTObVekcaiJ7/O7+TvC1zcx+C+wHhN8CagPUatPQqDYOa9aW2OnChyqObdq3D3OvUOsEEUmX2BO/mW0GNLn7iuDxUcDlccfRWydc/0daF75XcUxdMEUkzZLY4x8G/DboKbMR8J/uHn7VUoo89NIivhVyQ5NffGNfDt1laMwRiYj0XOyJ393nA3vF/bob6r1VH7H3FdMrjh2+61Bu+fq+MUckItI7uZzO2QiagikieaXE38WUR15j6mPzKo49eu7B7DQ0P/38RaS4Cp/4X1+ygqOuqzyh6NwjP82kw3eOOSIRkWgVMvGXSs7nrn6Mxcs7Ko6rdYKI5FmhEv/UGW8wZfrrFcdeuOQotthUUzBFJP9yn/iXLO/g7Duerzjn/r6zD2Cv7QclEJWISHJynfgfnrOIb/56/Xn35xyxM+cc8emEIhIRSV6uE//wLTZl8ICN+ebBO3L6ATtoCqaICDlP/HttP4jWi45MOgwRkVRpSjoAERGJlxK/iEjBKPGLiBSMEr+ISMEo8YuIFIwSv4hIwSjxi4gUjBK/iEjBmLsnHUNNZtYOLKzjqYOBpRGHEyetT7rlbX0gf+tU9PX5lLsP6b4wE4m/XmbW6u4tScfRKFqfdMvb+kD+1knrU5lKPSIiBaPELyJSMHlL/DclHUCDaX3SLW/rA/lbJ61PBbmq8YuISG152+MXEZEalPhFRAomF4nfzMaZ2WtmNs/MJicdz4YwswVm9pKZzTaz1mDZVmY23czeCL5umXSc1ZjZrWbWZmZzuiyruA5WNjXYZi+a2djkIq8sZH0uNbN3gu0028zGdxk7P1if18zs6GSiDmdm25vZ42b2ipm9bGbfDZZnchtVWZ8sb6N+ZvYnM3shWKfLguU7mNmzQex3mdnGwfJNgu/nBePNdb2Qu2f6H9AHeBMYBWwMvACMTjquDViPBcDgbsuuASYHjycDP046zhrrcBAwFphTax2A8cBDgAH7A88mHX+d63Mp8C8Vnjs6+NvbBNgh+Jvsk/Q6dItxODA2eDwQeD2IO5PbqMr6ZHkbGTAgeNwXeDZ47+8GTg6W3wB8K3h8FnBD8Phk4K56XicPe/z7AfPcfb67fwT8F3B8wjE1yvHAbcHj24AvJRhLTe7+FPBut8Vh63A88CsvewYYZGbD44m0PiHrE+Z44L/c/UN3fwuYR/lvMzXcfZG7Px88XgHMBUaQ0W1UZX3CZGEbubuvDL7tG/xz4DDgN8Hy7tuoc9v9BjjczGreXDwPiX8E8Jcu379N9Y2fVg48YmazzGxisGyYuy8KHi8GhiUTWq+ErUOWt9u3g9LHrV3Kb5lan6AksDflPcrMb6Nu6wMZ3kZm1sfMZgNtwHTKRybvu/ua4Cld4163TsH4B8DWtV4jD4k/Lz7v7mOBY4CzzeygroNePpbL9NzbPKwDcD2wIzAGWARcm2w4PWdmA4B7gHPcfXnXsSxuowrrk+lt5O5r3X0MsB3lI5JdG/0aeUj87wDbd/l+u2BZprj7O8HXNuC3lDf4ks5D6+BrW3IRbrCwdcjkdnP3JcF/zBJwMx+XCjKxPmbWl3KSvMPd7w0WZ3YbVVqfrG+jTu7+PvA48FnKZbaNgqGuca9bp2B8C2BZrd+dh8T/HLBzcNZ7Y8onOO5POKYeMbPNzGxg52PgKGAO5fU4LXjaacB9yUTYK2HrcD/wtWDmyP7AB13KDanVrcb9ZcrbCcrrc3Iwy2IHYGfgT3HHV01Q+70FmOvuU7oMZXIbha1PxrfREDMbFDzeFDiS8rmLx4ETgqd130ad2+4E4LHgqK26pM9iN+hM+HjKZ/TfBC5MOp4NiH8U5dkGLwAvd64D5VrdDOAN4FFgq6RjrbEed1I+tF5NuQ55Rtg6UJ698B/BNnsJaEk6/jrX5/Yg3heD/3TDuzz/wmB9XgOOSTr+CuvzecplnBeB2cG/8VndRlXWJ8vbaE/gf4PY5wAXB8tHUf6Qmgf8N7BJsLxf8P28YHxUPa+jlg0iIgWTh1KPiIj0gBK/iEjBKPGLiBSMEr+ISMEo8YuIFIwSv0gdzGzrLt0eF3fp/ujduzya2Tlmdn1SsYrUosQvUgd3X+buY7x8Kf0NwHXB4zMpXzTY1cmUrwEQSSUlfpHe+Q1wbJf+6M3AtsDMBGMSqUqJX6QX3P1dyldMHhMsOhm423VlpKSYEr9I793Jx+UelXkk9ZT4RXrvPso3wBgL9Hf3WUkHJFKNEr9IL3n5jkmPA7eivX3JACV+kca4E9gLJX7JAHXnFBEpGO3xi4gUjBK/iEjBKPGLiBSMEr+ISMEo8YuIFIwSv4hIwSjxi4gUzP8HrPJfQJ4PnHgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_test.TV, 3.2295 + 0.0459*x_test.TV)\n",
    "sns.scatterplot(data=x_test, x=x_test.TV, y=x_test.Sales)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 296
    },
    "executionInfo": {
     "elapsed": 853,
     "status": "ok",
     "timestamp": 1659443855398,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "x8ny9HNJjj2S",
    "outputId": "f9c9126b-5d0c-451f-daba-c54eda46d57e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc5a3223090>"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_test.Radio, 3.2295 + 0.1787*x_test.Radio)\n",
    "sns.scatterplot(data=x_test, x=x_test.Radio, y=x_test.Sales)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 296
    },
    "executionInfo": {
     "elapsed": 296,
     "status": "ok",
     "timestamp": 1659443972091,
     "user": {
      "displayName": "Ahmet Yılmaz",
      "userId": "12121815919257021566"
     },
     "user_tz": -180
    },
    "id": "_NJcA_O6i2Jh",
    "outputId": "f3e42e13-980a-48f4-83ca-cf2703a7c961"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc5a32e4e10>"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_test.Newspaper, 3.2295 - 0.0015*x_test.Newspaper)\n",
    "sns.scatterplot(data=x_test, x=x_test.Newspaper, y=x_test.Sales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "A1zIa0w2kqh7"
   },
   "source": [
    "**Sonuc: TV en iyisi**"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyMfGiLAbUuUwaVi1TWeGV3Y",
   "name": "Multiple Linear Regression.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}