{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e062dc09-8a4f-4034-947f-add90751486c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "139b7539-7e3d-4988-bb30-c320737c03e9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def function(x, amt):\n",
    "    return 0.1*x**2 + amt*random.random() * x**3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "dca5fd3d-5f51-47cc-9611-b76247a6cb8a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'intensity of red')"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 438,
       "width": 567
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(0, 1, 2000)\n",
    "y=[function(i, 0.4) for i in x]\n",
    "plt.scatter(x, y, s=.5)\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel(\"intensity of green or blue\")\n",
    "plt.ylabel(\"intensity of red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2f987411-d0a0-45cd-b81e-0689e3edb001",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}