Least Square estimation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c14104e6",
   "metadata": {},
   "source": [
    "## Practical - 1\n",
    "\n",
    "## Least Square estimation\n",
    "\n",
    "## Problem :"
   ]
  },
  {
   "attachments": {
    "Prac-1.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "d92b050a",
   "metadata": {},
   "source": [
    "![Prac-1.png](attachment:Prac-1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89f8abd7",
   "metadata": {},
   "source": [
    "## Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "28c9dbd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.linear_model import LinearRegression\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce61a053",
   "metadata": {},
   "source": [
    "## Method : 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "357574b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "years = [1990,1991,1992,1993,1994,1995,1996]\n",
    "tourists = [18,20,23,25,24,28,30]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2096b21d",
   "metadata": {},
   "outputs": [],
   "source": [
    "years=np.array(years).reshape(-1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2621e259",
   "metadata": {},
   "outputs": [],
   "source": [
    "model = LinearRegression().fit(years,tourists)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ac1e65e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3748.464285714285"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "48b6f522",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.89285714])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "03ddf346",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([37.25])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.predict(np.array([2000]).reshape(-1,1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6634df4f",
   "metadata": {},
   "source": [
    "## Method : 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "af6eb4d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "x= [1990,1991,1992,1993,1994,1995,1996]\n",
    "y= [18,20,23,25,24,28,30]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c83723ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "m,c=np.polyfit(x,y,deg= 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ad5179b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.8928571428569125"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0004f8d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3748.464285713826"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1fb83c91",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_line= [m*i+c for i in x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a8f47b07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[18.321428571429806,\n",
       " 20.21428571428669,\n",
       " 22.10714285714357,\n",
       " 24.000000000000455,\n",
       " 25.892857142857338,\n",
       " 27.785714285714675,\n",
       " 29.67857142857156]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4a60c8d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f247a745f60>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.plot(x,y_line,'r')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "088c6a98",
   "metadata": {},
   "source": [
    "## Tourists in 2000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cb19f742",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "37.24999999999909"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m*2000+c"
   ]
  }
 ],
 "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}