{"cells": [{"cell_type": "markdown", "id": "029e46ba", "metadata": {}, "source": ["# Corr\u00e9lation\n", "On simule une jeu de donn\u00e9es \u00e0 l'aide du code suivant : "]}, {"cell_type": "code", "execution_count": 1, "id": "b433007b", "metadata": {"tags": ["keep"]}, "outputs": [], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(0) # pour que le g\u00e9n\u00e9rateur \"al\u00e9atoire\" soit \n", "                  # le m\u00eame pour tout le monde\n", "N = 100\n", "x = np.linspace(2000, 2018, N)\n", "y = np.arange(N)*0.2 + 45 + np.random.normal(size=N)\n", "\n", "plt.plot(x, y, 'o');"]}, {"cell_type": "markdown", "id": "aa58f021", "metadata": {}, "source": ["1. Tracez et ajustez les donn\u00e9es par une une droite $y=ax+b$.\n", "\n", "2. Quel est l\u2019incertitude sur $b$? Qu\u2019en pensez-vous ?\n", "\n", "3. Calculez la valeur et l\u2019incertitude de votre fit en $x= 2010$.\n", "\n", "4. R\u00e9alisez $M$ simulations ($M$ = 1000 par exemples); tracez sur un graph les coefficients a et b; Calculez la matrice de covariance.\n", "\n", "5. Trouvez une fonction de fit plus pertinente pour ce probl\u00e8me."]}], "metadata": {"celltoolbar": "Tags", "kernelspec": {"display_name": "Python 3", "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": "3.8.8"}, "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": 5}