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@davetromp
Created November 4, 2019 22:28
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dtnt-regression.ipynb
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{
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"metadata": {
"orig_nbformat": 2,
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"npconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": 3,
"colab": {
"name": "dtnt-regression.ipynb",
"provenance": [],
"toc_visible": true,
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/davetromp/d27335313721272bb160bc10941a7859/dtnt-regression.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "H44SY1OngleZ",
"colab_type": "code",
"colab": {}
},
"source": [
"## uncomment below line and run the cell to install investpy\n",
"# !pip install investpy"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "L6eX5p86gLop",
"colab_type": "code",
"colab": {}
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import investpy\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns; sns.set()\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.pipeline import make_pipeline\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from sklearn.linear_model import Lasso\n",
"from sklearn.linear_model import Ridge\n",
"pd.set_option('mode.chained_assignment',None)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "GKTMH53VgLou",
"colab_type": "text"
},
"source": [
"## Set some parameters ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ex-PCp38gLov",
"colab_type": "code",
"colab": {}
},
"source": [
"ticker = 'IBM'\n",
"test_period = 10\n",
"train_period = 100\n",
"poly = 9"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "4Fz1byacgLoz",
"colab_type": "text"
},
"source": [
"## Get data"
]
},
{
"cell_type": "code",
"metadata": {
"id": "jT-Q3lOogLo0",
"colab_type": "code",
"outputId": "f3590bd7-d76e-4a5a-dc71-f3df43ab7673",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 450
}
},
"source": [
"data = investpy.get_stock_historical_data(stock=ticker, country='united states',\n",
" from_date='01/01/2019',\n",
" to_date='01/08/2019')\n",
"data = data[-(test_period + train_period):]\n",
"data"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Open</th>\n",
" <th>High</th>\n",
" <th>Low</th>\n",
" <th>Close</th>\n",
" <th>Volume</th>\n",
" <th>Currency</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2019-02-26</th>\n",
" <td>139.67</td>\n",
" <td>140.49</td>\n",
" <td>139.47</td>\n",
" <td>139.72</td>\n",
" <td>3060000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-02-27</th>\n",
" <td>139.25</td>\n",
" <td>139.57</td>\n",
" <td>138.40</td>\n",
" <td>139.17</td>\n",
" <td>2530000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-02-28</th>\n",
" <td>138.77</td>\n",
" <td>139.06</td>\n",
" <td>137.72</td>\n",
" <td>138.13</td>\n",
" <td>3460000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-03-01</th>\n",
" <td>139.31</td>\n",
" <td>140.04</td>\n",
" <td>138.64</td>\n",
" <td>139.20</td>\n",
" <td>3030000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-03-04</th>\n",
" <td>139.99</td>\n",
" <td>140.08</td>\n",
" <td>137.17</td>\n",
" <td>138.43</td>\n",
" <td>3410000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-07-26</th>\n",
" <td>151.00</td>\n",
" <td>151.41</td>\n",
" <td>150.10</td>\n",
" <td>151.36</td>\n",
" <td>2900000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-07-29</th>\n",
" <td>151.11</td>\n",
" <td>151.48</td>\n",
" <td>150.32</td>\n",
" <td>150.88</td>\n",
" <td>2080000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-07-30</th>\n",
" <td>150.00</td>\n",
" <td>150.40</td>\n",
" <td>149.22</td>\n",
" <td>149.77</td>\n",
" <td>2630000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-07-31</th>\n",
" <td>149.70</td>\n",
" <td>150.18</td>\n",
" <td>146.39</td>\n",
" <td>148.24</td>\n",
" <td>3720000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-08-01</th>\n",
" <td>148.90</td>\n",
" <td>152.82</td>\n",
" <td>148.50</td>\n",
" <td>150.32</td>\n",
" <td>6340000</td>\n",
" <td>USD</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>110 rows × 6 columns</p>\n",
"</div>"
],
"text/plain": [
" Open High Low Close Volume Currency\n",
"Date \n",
"2019-02-26 139.67 140.49 139.47 139.72 3060000 USD\n",
"2019-02-27 139.25 139.57 138.40 139.17 2530000 USD\n",
"2019-02-28 138.77 139.06 137.72 138.13 3460000 USD\n",
"2019-03-01 139.31 140.04 138.64 139.20 3030000 USD\n",
"2019-03-04 139.99 140.08 137.17 138.43 3410000 USD\n",
"... ... ... ... ... ... ...\n",
"2019-07-26 151.00 151.41 150.10 151.36 2900000 USD\n",
"2019-07-29 151.11 151.48 150.32 150.88 2080000 USD\n",
"2019-07-30 150.00 150.40 149.22 149.77 2630000 USD\n",
"2019-07-31 149.70 150.18 146.39 148.24 3720000 USD\n",
"2019-08-01 148.90 152.82 148.50 150.32 6340000 USD\n",
"\n",
"[110 rows x 6 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b0BjecK_gLo5",
"colab_type": "text"
},
"source": [
"## Prepare data ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "okldCVKpgLo6",
"colab_type": "code",
"colab": {}
},
"source": [
"X = range(len(data))\n",
"y = data.Close\n",
"X_train = range(len(data))[:-(test_period)]\n",
"X_train = np.array(X_train).reshape(-1, 1)\n",
"y_train = data.Close[:-(test_period)]\n",
"X_test = range(len(data))[-(test_period):]\n",
"X_test = np.array(X_test).reshape(-1, 1)\n",
"y_test = data.Close[-(test_period):]"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "KYk3qwNFgLo9",
"colab_type": "text"
},
"source": [
"## Plot the data ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "VdqWE9YkgLo-",
"colab_type": "code",
"outputId": "d75b8caf-70d8-4c6e-b534-7683a91bfc02",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"plt.figure(figsize=(20, 10))\n",
"plt.plot(X_train, y_train, label=\"Training data\")\n",
"plt.scatter(X_train, y_train)\n",
"plt.plot(X_test, y_test, label=\"Test data\")\n",
"plt.scatter(X_test, y_test)\n",
"plt.legend()\n",
"plt.title(\"Training and test data\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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9jkTHPY5Exz2OzoD7HPFmw85CrVyTp9KKGmWmJ2nejCGaNLpXvWMaC39kd8qZ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\ngYAIAAAAe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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wu8qKotogLpB",
"colab_type": "text"
},
"source": [
"## Linear Regression prediction ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "MjAHwhthgLpC",
"colab_type": "code",
"colab": {}
},
"source": [
"model = LinearRegression(fit_intercept=True)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "xR4nDPT3gLpG",
"colab_type": "code",
"outputId": "932d890f-1256-48ca-c9cc-2d9e23ef6cb1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"model.fit(X_train, y_train)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7Zd8PiKxgLpJ",
"colab_type": "code",
"outputId": "5bd8c7d4-f47e-4330-b6e2-b30796f316d1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"y_pred_train = model.predict(X_train)\n",
"y_pred_test = model.predict(X_test)\n",
"plt.figure(figsize=(20, 10))\n",
"plt.plot(X_train, y_train, label=\"Training data\")\n",
"plt.scatter(X_train, y_train)\n",
"plt.plot(X_train, y_pred_train, label=\"Model\")\n",
"plt.plot(X_test, y_pred_test, label=\"Prediction\")\n",
"plt.plot(X_test, y_test, label=\"Test data\")\n",
"plt.scatter(X_test, y_test)\n",
"plt.legend()\n",
"plt.title(\"Linear Regression\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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GTTgEAAAAAACiDwFRHdShQyfNmPFepMsAAAAAAAC1BE2qAQAAAAAA6jkCIgAAAAAAgHqO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\nlubr/DQVRE3NXfK6nVqzrDgDk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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kgxU8i0wgLpN",
"colab_type": "text"
},
"source": [
"## Polynomial Linear Regrassion Prediction ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "VHLqwfWxgLpO",
"colab_type": "code",
"colab": {}
},
"source": [
"poly_model = make_pipeline(PolynomialFeatures(poly), LinearRegression())"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "is-q31KcgLpR",
"colab_type": "code",
"outputId": "e29cae70-9926-44e8-b3f4-dcd3edd85f61",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 153
}
},
"source": [
"poly_model.fit(X_train, y_train)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Pipeline(memory=None,\n",
" steps=[('polynomialfeatures',\n",
" PolynomialFeatures(degree=9, include_bias=True,\n",
" interaction_only=False, order='C')),\n",
" ('linearregression',\n",
" LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None,\n",
" normalize=False))],\n",
" verbose=False)"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fMJR0CcegLpU",
"colab_type": "code",
"outputId": "33470f44-4fc8-458f-be15-39370b7ada61",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"poly_y_pred_train = poly_model.predict(X_train)\n",
"poly_y_pred_test = poly_model.predict(X_test)\n",
"\n",
"plt.figure(figsize=(20, 10))\n",
"plt.plot(X_train, y_train, label=\"Training data\")\n",
"plt.scatter(X_train, y_train)\n",
"plt.plot(X_train, poly_y_pred_train, label=\"Model\")\n",
"plt.plot(X_test, poly_y_pred_test, label=\"Prediction\")\n",
"plt.plot(X_test, y_test, label=\"Test data\")\n",
"plt.scatter(X_test, y_test)\n",
"plt.legend()\n",
"plt.title(\"Polynomial Linear Regression\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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rV+rgwYMjt0ejUT3wwAO6+eab9e53v1uf+cxn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\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RgxdAMp-gLpX",
"colab_type": "text"
},
"source": [
"## Polynomial Linear Lasso Regression Prediction ##"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Q8lGpYC5gLpY",
"colab_type": "code",
"colab": {}
},
"source": [
"lasso_model = make_pipeline(PolynomialFeatures(poly), Lasso(alpha=100))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "kKMkPRQAgLpc",
"colab_type": "code",
"outputId": "731c7032-ce52-4062-a7c9-704b58ad9add",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 241
}
},
"source": [
"lasso_model.fit(X_train, y_train)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/sklearn/linear_model/coordinate_descent.py:475: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations. Duality gap: 332.5846469953767, tolerance: 0.15541994639999998\n",
" positive)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Pipeline(memory=None,\n",
" steps=[('polynomialfeatures',\n",
" PolynomialFeatures(degree=9, include_bias=True,\n",
" interaction_only=False, order='C')),\n",
" ('lasso',\n",
" Lasso(alpha=100, copy_X=True, fit_intercept=True,\n",
" max_iter=1000, normalize=False, positive=False,\n",
" precompute=False, random_state=None, selection='cyclic',\n",
" tol=0.0001, warm_start=False))],\n",
" verbose=False)"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "SNHAOK6fgLpf",
"colab_type": "code",
"outputId": "77ad919a-5161-42ca-fa8a-316d3bb3ac26",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"lasso_y_pred_train = lasso_model.predict(X_train)\n",
"lasso_y_pred_test = lasso_model.predict(X_test)\n",
"\n",
"plt.figure(figsize=(20, 10))\n",
"plt.plot(X_train, y_train, label=\"Training data\")\n",
"plt.scatter(X_train, y_train)\n",
"plt.plot(X_train, lasso_y_pred_train, label=\"Model\")\n",
"plt.plot(X_test, lasso_y_pred_test, label=\"Prediction\")\n",
"plt.plot(X_test, y_test, label=\"Test data\")\n",
"plt.scatter(X_test, y_test)\n",
"plt.legend()\n",
"plt.title(\"Polynomial Linear Lasso Regression\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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Bg0aB14sXLyAyMiLw2u/3YTAYmD37v4Ap37179uwuoEVDKVV6JovFEvi70Wgq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\ngKh33C0dHpIiWHdE13U+PFVLQU48Wf06sw1H6clCMqTMG3ocvzcYPGq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QuRhj5iIU6+xa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\n/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E1KhRBiohTdjCljI3r6Btx1JTgv7cNx/i0cF3ajp6zuLz+LTvL3MoEP+s7VNncTKyXG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\nM66lM6Y6u3oKVBEAAMWJgAgAAAC2FR1Ozes6AABORUAEAAAA2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"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7_6nx3LugLpi",
"colab_type": "code",
"colab": {}
},
"source": [
"ridge_model = make_pipeline(PolynomialFeatures(poly), Ridge(alpha=0.1))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "5XXgdQOKgLpm",
"colab_type": "code",
"outputId": "d62abdf7-c16a-4cf2-86c7-6a84e00475ef",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
}
},
"source": [
"ridge_model.fit(X_train, y_train)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/sklearn/linear_model/ridge.py:147: LinAlgWarning: Ill-conditioned matrix (rcond=2.55411e-38): result may not be accurate.\n",
" overwrite_a=True).T\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Pipeline(memory=None,\n",
" steps=[('polynomialfeatures',\n",
" PolynomialFeatures(degree=9, include_bias=True,\n",
" interaction_only=False, order='C')),\n",
" ('ridge',\n",
" Ridge(alpha=0.1, copy_X=True, fit_intercept=True,\n",
" max_iter=None, normalize=False, random_state=None,\n",
" solver='auto', tol=0.001))],\n",
" verbose=False)"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UGDtWkcYgLpp",
"colab_type": "code",
"outputId": "99fa88d0-6e38-40f5-f719-8749ca373a69",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"ridge_y_pred_train = ridge_model.predict(X_train)\n",
"ridge_y_pred_test = ridge_model.predict(X_test)\n",
"\n",
"plt.figure(figsize=(20, 10))\n",
"plt.plot(X_train, y_train, label=\"Training data\")\n",
"plt.scatter(X_train, y_train)\n",
"plt.plot(X_train, ridge_y_pred_train, label=\"Model\")\n",
"plt.plot(X_test, ridge_y_pred_test, label=\"Prediction\")\n",
"plt.plot(X_test, y_test, label=\"Test data\")\n",
"plt.scatter(X_test, y_test)\n",
"plt.legend()\n",
"plt.title(\"Polynomial Linear Ridge Regression\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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XL6spd1mYRQiIAACT5tV9rXrohWMK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\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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