traditional-machine-learning/001-regression-algorithms/regression-algorithms.ipynb

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   "cell_type": "markdown",
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   "source": [
    "# A Practical Introduction to 9 regression algorithms\n",
    "\n",
    "This is a notebook for the medium article [A Practical Introduction to 9 Regression Algorithms](https://bindichen.medium.com/a-practical-introduction-to-9-regression-algorithms-389057f86eb9)\n",
    "\n",
    "Please check out article for instructions\n",
    "\n",
    "**License**: [BSD 2-Clause](https://opensource.org/licenses/BSD-2-Clause)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: vega_datasets in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (0.9.0)\n",
      "Requirement already satisfied: pandas in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (from vega_datasets) (1.1.4)\n",
      "Requirement already satisfied: python-dateutil>=2.7.3 in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (from pandas->vega_datasets) (2.8.1)\n",
      "Requirement already satisfied: numpy>=1.15.4 in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (from pandas->vega_datasets) (1.18.1)\n",
      "Requirement already satisfied: pytz>=2017.2 in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (from pandas->vega_datasets) (2020.1)\n",
      "Requirement already satisfied: six>=1.5 in /Users/chen5/anaconda3/envs/tf-tutorial/lib/python3.7/site-packages (from python-dateutil>=2.7.3->pandas->vega_datasets) (1.14.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install vega_datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from vega_datasets import data\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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       "\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>Name</th>\n",
       "      <th>Miles_per_Gallon</th>\n",
       "      <th>Cylinders</th>\n",
       "      <th>Displacement</th>\n",
       "      <th>Horsepower</th>\n",
       "      <th>Weight_in_lbs</th>\n",
       "      <th>Acceleration</th>\n",
       "      <th>Year</th>\n",
       "      <th>Origin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>chevrolet chevelle malibu</td>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>307.0</td>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>12.0</td>\n",
       "      <td>1970-01-01</td>\n",
       "      <td>USA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>buick skylark 320</td>\n",
       "      <td>15.0</td>\n",
       "      <td>8</td>\n",
       "      <td>350.0</td>\n",
       "      <td>165.0</td>\n",
       "      <td>3693</td>\n",
       "      <td>11.5</td>\n",
       "      <td>1970-01-01</td>\n",
       "      <td>USA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>plymouth satellite</td>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>318.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3436</td>\n",
       "      <td>11.0</td>\n",
       "      <td>1970-01-01</td>\n",
       "      <td>USA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>amc rebel sst</td>\n",
       "      <td>16.0</td>\n",
       "      <td>8</td>\n",
       "      <td>304.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3433</td>\n",
       "      <td>12.0</td>\n",
       "      <td>1970-01-01</td>\n",
       "      <td>USA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ford torino</td>\n",
       "      <td>17.0</td>\n",
       "      <td>8</td>\n",
       "      <td>302.0</td>\n",
       "      <td>140.0</td>\n",
       "      <td>3449</td>\n",
       "      <td>10.5</td>\n",
       "      <td>1970-01-01</td>\n",
       "      <td>USA</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      "text/plain": [
       "                        Name  Miles_per_Gallon  Cylinders  Displacement  \\\n",
       "0  chevrolet chevelle malibu              18.0          8         307.0   \n",
       "1          buick skylark 320              15.0          8         350.0   \n",
       "2         plymouth satellite              18.0          8         318.0   \n",
       "3              amc rebel sst              16.0          8         304.0   \n",
       "4                ford torino              17.0          8         302.0   \n",
       "\n",
       "   Horsepower  Weight_in_lbs  Acceleration       Year Origin  \n",
       "0       130.0           3504          12.0 1970-01-01    USA  \n",
       "1       165.0           3693          11.5 1970-01-01    USA  \n",
       "2       150.0           3436          11.0 1970-01-01    USA  \n",
       "3       150.0           3433          12.0 1970-01-01    USA  \n",
       "4       140.0           3449          10.5 1970-01-01    USA  "
      ]
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     "execution_count": 3,
     "metadata": {},
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   ],
   "source": [
    "df = data.cars()\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 406 entries, 0 to 405\n",
      "Data columns (total 9 columns):\n",
      " #   Column            Non-Null Count  Dtype         \n",
      "---  ------            --------------  -----         \n",
      " 0   Name              406 non-null    object        \n",
      " 1   Miles_per_Gallon  398 non-null    float64       \n",
      " 2   Cylinders         406 non-null    int64         \n",
      " 3   Displacement      406 non-null    float64       \n",
      " 4   Horsepower        400 non-null    float64       \n",
      " 5   Weight_in_lbs     406 non-null    int64         \n",
      " 6   Acceleration      406 non-null    float64       \n",
      " 7   Year              406 non-null    datetime64[ns]\n",
      " 8   Origin            406 non-null    object        \n",
      "dtypes: datetime64[ns](1), float64(4), int64(2), object(2)\n",
      "memory usage: 28.7+ KB\n"
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   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Filter out NaN rows in a specific column\n",
    "df.dropna(subset=['Horsepower', 'Miles_per_Gallon'], inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.sort_values(by='Horsepower', inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Transform data\n",
    "X = df['Horsepower'].to_numpy().reshape(-1, 1)\n",
    "y = df['Miles_per_Gallon'].to_numpy().reshape(-1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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       "<Figure size 432x288 with 1 Axes>"
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     },
     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
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   ],
   "source": [
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Horsepower vs. Miles_per_Gallon')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Creating and Training the Model\n",
    "linear_regressor = LinearRegression()\n",
    "linear_regressor.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.15784473]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linear_regressor.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
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   "source": [
    "# Plot points and fit line for training data\n",
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Horsepower vs. Miles_per_Gallon')\n",
    "plt.plot(X, linear_regressor.predict(X), color='orange', label='Linear regressor')\n",
    "plt.title('Linear Regression')\n",
    "plt.legend()\n",
    "plt.show()"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Polynomial Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# From here. we are simply generating the matrix for X^0, X^1 and X^2\n",
    "poly_reg = PolynomialFeatures(degree = 2)\n",
    "X_poly = poly_reg.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# polynomial regression model\n",
    "poly_reg_model = LinearRegression()\n",
    "poly_reg_model.fit(X_poly, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
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       "<Figure size 432x288 with 1 Axes>"
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     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot points and fit line for training data\n",
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Horsepower vs. Miles_per_Gallon')\n",
    "plt.plot(X, poly_reg_model.predict(X_poly), color='orange', label='Polynmial regressor')\n",
    "plt.title('Polynomial Regression')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Simple Vector Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.svm import SVR\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Performing feature scaling\n",
    "scaled_X = StandardScaler()\n",
    "scaled_y = StandardScaler()\n",
    "\n",
    "scaled_X = scaled_X.fit_transform(X)\n",
    "scaled_y = scaled_y.fit_transform(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVR(gamma='auto')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svr_regressor = SVR(kernel='rbf', gamma='auto')\n",
    "svr_regressor.fit(scaled_X, scaled_y.ravel())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
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   ],
   "source": [
    "plt.scatter(scaled_X, scaled_y, color='teal', edgecolors='black', label='Train')\n",
    "plt.plot(scaled_X, svr_regressor.predict(scaled_X), color='orange', label='SVR')\n",
    "plt.title('Simple Vector Regression')\n",
    "plt.legend()\n",
    "plt.show()"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Decision Tree Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeRegressor(random_state=0)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# No need to perform feature scaling. Since it will get taken care by the library itself.\n",
    "tree_regressor = DecisionTreeRegressor(random_state = 0)\n",
    "tree_regressor.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
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   ],
   "source": [
    "X_grid = np.arange(min(X), max(X), 0.01)\n",
    "X_grid = X_grid.reshape(len(X_grid), 1)\n",
    "\n",
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Train')\n",
    "plt.plot(X_grid, tree_regressor.predict(X_grid), color='orange', label='Tree regressor')\n",
    "plt.title('Tree Regression')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Random Forest Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestRegressor(n_estimators=300, random_state=0)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest_regressor = RandomForestRegressor(\n",
    "    n_estimators = 300, \n",
    "    random_state = 0\n",
    ")\n",
    "forest_regressor.fit(X, y.ravel())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
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   "source": [
    "X_grid = np.arange(min(X), max(X), 0.01)\n",
    "X_grid = X_grid.reshape(len(X_grid), 1)\n",
    "\n",
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Train')\n",
    "plt.plot(X_grid, forest_regressor.predict(X_grid), color='orange', label='Random Forest regressor')\n",
    "plt.title('Random Forest Regression')\n",
    "plt.legend()\n",
    "plt.show()"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. LASSO Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LassoCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LassoCV()"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso = LassoCV()\n",
    "lasso.fit(X, y.ravel())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
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       "<Figure size 432x288 with 1 Axes>"
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     },
     "metadata": {
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    }
   ],
   "source": [
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Actual observation points')\n",
    "plt.plot(X, lasso.predict(X), color='orange', label='LASSO regressor')\n",
    "plt.title('LASSO Regression')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import RidgeCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RidgeCV(alphas=array([ 0.1,  1. , 10. ]))"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridge = RidgeCV()\n",
    "ridge.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
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      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Train')\n",
    "plt.plot(X, ridge.predict(X), color='orange', label='Ridge regressor')\n",
    "plt.title('Ridge Regression')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8. ElasticNet Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ElasticNetCV()"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import ElasticNetCV\n",
    "elasticNet = ElasticNetCV()\n",
    "elasticNet.fit(X, y.ravel())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X, y, color='teal', edgecolors='black', label='Train')\n",
    "plt.plot(X, elasticNet.predict(X), color='orange',label='ElasticNet regressor')\n",
    "plt.title('ElasticNet Regression')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9. XGBoost regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "import xgboost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.3.1\n"
     ]
    }
   ],
   "source": [
    "print(xgboost.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "from xgboost import XGBRegressor\n",
    "# create an xgboost regression model\n",
    "model = XGBRegressor(\n",
    "    n_estimators=1000, \n",
    "    max_depth=7, \n",
    "    eta=0.1, \n",
    "    subsample=0.7, \n",
    "    colsample_bytree=0.8,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "XGBRegressor(base_score=0.5, booster='gbtree', colsample_bylevel=1,\n",
       "             colsample_bynode=1, colsample_bytree=0.8, eta=0.1, gamma=0,\n",
       "             gpu_id=-1, importance_type='gain', interaction_constraints='',\n",
       "             learning_rate=0.100000001, max_delta_step=0, max_depth=7,\n",
       "             min_child_weight=1, missing=nan, monotone_constraints='()',\n",
       "             n_estimators=1000, n_jobs=12, num_parallel_tree=1, random_state=0,\n",
       "             reg_alpha=0, reg_lambda=1, scale_pos_weight=1, subsample=0.7,\n",
       "             tree_method='exact', validate_parameters=1, verbosity=None)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
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    "plt.scatter(X, y, color='teal', edgecolors='black', label='Train')\n",
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    "plt.title('XGBoost Regression')\n",
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Thanks for reading\n",
    "\n",
    "This is a notebook for the medium article [A Practical Introduction to 9 Regression Algorithms](https://bindichen.medium.com/a-practical-introduction-to-9-regression-algorithms-389057f86eb9)\n",
    "\n",
    "Please check out article for instructions\n",
    "\n",
    "**License**: [BSD 2-Clause](https://opensource.org/licenses/BSD-2-Clause)"
   ]
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