{ "cells": [ { "metadata": { "ExecuteTime": { "end_time": "2026-10-09T07:17:12.831874600Z", "start_time": "2026-10-09T07:17:12.739738300Z" } }, "cell_type": "code", "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.linear_model import LinearRegression" ], "id": "d3107201cd6b17ad", "outputs": [], "execution_count": 19 }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2026-10-09T07:17:12.904401200Z", "start_time": "2026-10-09T07:17:12.862126800Z" } }, "source": [ "X = np.linspace(0, 2)\n", "np.random.seed(42) # vereinfachte Variante, siehe np.random\n", "X = np.sort(np.random.rand(50)*2)\n", "T = np.sin(5*X) + X**2 + np.random.randn(len(X))/10" ], "outputs": [], "execution_count": 20 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-09T07:17:13.183142100Z", "start_time": "2026-10-09T07:17:12.915397500Z" } }, "cell_type": "code", "source": [ "plt.plot(X, T, '.')\n", "plt.xlabel('x')\n", "plt.ylabel('t')\n", "plt.show()" ], "id": "57536fd96591e796", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 21 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-09T07:17:13.246481Z", "start_time": "2026-10-09T07:17:13.199398300Z" } }, "cell_type": "code", "source": [ "reg = LinearRegression()\n", "reg.fit(X.reshape(-1, 1), T)\n", "line = reg.predict(X.reshape(-1, 1))" ], "id": "6adc0e7db9a59f04", "outputs": [], "execution_count": 22 }, { "metadata": { "ExecuteTime": { "end_time": "2026-10-09T07:17:13.718741300Z", "start_time": "2026-10-09T07:17:13.291218500Z" } }, "cell_type": "code", "source": "plt.plot(line, T)", "id": "2385841bcd2b3130", "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 23 } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }