From 584542178cbb6b55a2fef8c1b827e3225cf103a1 Mon Sep 17 00:00:00 2001
From: Orrm23 <burhanusuf7@gmail.com>
Date: Thu, 20 Feb 2025 01:26:13 -0800
Subject: [PATCH] exam marks prediction

---
 ...k_prediction_using_Linear_Regression.ipynb | 1174 +++++++++++++++++
 1 file changed, 1174 insertions(+)
 create mode 100644 12___Exam_mark_prediction_using_Linear_Regression.ipynb

diff --git a/12___Exam_mark_prediction_using_Linear_Regression.ipynb b/12___Exam_mark_prediction_using_Linear_Regression.ipynb
new file mode 100644
index 0000000..df8a32d
--- /dev/null
+++ b/12___Exam_mark_prediction_using_Linear_Regression.ipynb
@@ -0,0 +1,1174 @@
+{
+  "nbformat": 4,
+  "nbformat_minor": 0,
+  "metadata": {
+    "colab": {
+      "provenance": [],
+      "include_colab_link": true
+    },
+    "kernelspec": {
+      "name": "python3",
+      "display_name": "Python 3"
+    },
+    "language_info": {
+      "name": "python"
+    }
+  },
+  "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "view-in-github",
+        "colab_type": "text"
+      },
+      "source": [
+        "<a href=\"https://colab.research.google.com/github/Orrm23/DeepSeek-Coder/blob/main/12___Exam_mark_prediction_using_Linear_Regression.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "I1VRs4tZkbvW"
+      },
+      "source": [
+        "# **Day-12 | Exam mark prediction using Linear Regression-multipleVariable**"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "SAFLqwkKk8rK"
+      },
+      "source": [
+        "### *Import Libraries*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "EgF2lvr_jzVL"
+      },
+      "source": [
+        "import pandas as pd\n",
+        "from sklearn.linear_model import LinearRegression"
+      ],
+      "execution_count": 1,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "XWe_7j6UjxRj"
+      },
+      "source": [
+        "### *Load Dataset from Local Directory*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "vKrHCJk_jwfJ",
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 73
+        },
+        "outputId": "110e0b18-ab68-4ac6-9e32-733af1698dcc"
+      },
+      "source": [
+        "from google.colab import files\n",
+        "uploaded = files.upload()"
+      ],
+      "execution_count": 2,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<IPython.core.display.HTML object>"
+            ],
+            "text/html": [
+              "\n",
+              "     <input type=\"file\" id=\"files-ef43af6a-7869-4281-bad4-aa66cdd6bbc5\" name=\"files[]\" multiple disabled\n",
+              "        style=\"border:none\" />\n",
+              "     <output id=\"result-ef43af6a-7869-4281-bad4-aa66cdd6bbc5\">\n",
+              "      Upload widget is only available when the cell has been executed in the\n",
+              "      current browser session. Please rerun this cell to enable.\n",
+              "      </output>\n",
+              "      <script>// Copyright 2017 Google LLC\n",
+              "//\n",
+              "// Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+              "// you may not use this file except in compliance with the License.\n",
+              "// You may obtain a copy of the License at\n",
+              "//\n",
+              "//      http://www.apache.org/licenses/LICENSE-2.0\n",
+              "//\n",
+              "// Unless required by applicable law or agreed to in writing, software\n",
+              "// distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+              "// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+              "// See the License for the specific language governing permissions and\n",
+              "// limitations under the License.\n",
+              "\n",
+              "/**\n",
+              " * @fileoverview Helpers for google.colab Python module.\n",
+              " */\n",
+              "(function(scope) {\n",
+              "function span(text, styleAttributes = {}) {\n",
+              "  const element = document.createElement('span');\n",
+              "  element.textContent = text;\n",
+              "  for (const key of Object.keys(styleAttributes)) {\n",
+              "    element.style[key] = styleAttributes[key];\n",
+              "  }\n",
+              "  return element;\n",
+              "}\n",
+              "\n",
+              "// Max number of bytes which will be uploaded at a time.\n",
+              "const MAX_PAYLOAD_SIZE = 100 * 1024;\n",
+              "\n",
+              "function _uploadFiles(inputId, outputId) {\n",
+              "  const steps = uploadFilesStep(inputId, outputId);\n",
+              "  const outputElement = document.getElementById(outputId);\n",
+              "  // Cache steps on the outputElement to make it available for the next call\n",
+              "  // to uploadFilesContinue from Python.\n",
+              "  outputElement.steps = steps;\n",
+              "\n",
+              "  return _uploadFilesContinue(outputId);\n",
+              "}\n",
+              "\n",
+              "// This is roughly an async generator (not supported in the browser yet),\n",
+              "// where there are multiple asynchronous steps and the Python side is going\n",
+              "// to poll for completion of each step.\n",
+              "// This uses a Promise to block the python side on completion of each step,\n",
+              "// then passes the result of the previous step as the input to the next step.\n",
+              "function _uploadFilesContinue(outputId) {\n",
+              "  const outputElement = document.getElementById(outputId);\n",
+              "  const steps = outputElement.steps;\n",
+              "\n",
+              "  const next = steps.next(outputElement.lastPromiseValue);\n",
+              "  return Promise.resolve(next.value.promise).then((value) => {\n",
+              "    // Cache the last promise value to make it available to the next\n",
+              "    // step of the generator.\n",
+              "    outputElement.lastPromiseValue = value;\n",
+              "    return next.value.response;\n",
+              "  });\n",
+              "}\n",
+              "\n",
+              "/**\n",
+              " * Generator function which is called between each async step of the upload\n",
+              " * process.\n",
+              " * @param {string} inputId Element ID of the input file picker element.\n",
+              " * @param {string} outputId Element ID of the output display.\n",
+              " * @return {!Iterable<!Object>} Iterable of next steps.\n",
+              " */\n",
+              "function* uploadFilesStep(inputId, outputId) {\n",
+              "  const inputElement = document.getElementById(inputId);\n",
+              "  inputElement.disabled = false;\n",
+              "\n",
+              "  const outputElement = document.getElementById(outputId);\n",
+              "  outputElement.innerHTML = '';\n",
+              "\n",
+              "  const pickedPromise = new Promise((resolve) => {\n",
+              "    inputElement.addEventListener('change', (e) => {\n",
+              "      resolve(e.target.files);\n",
+              "    });\n",
+              "  });\n",
+              "\n",
+              "  const cancel = document.createElement('button');\n",
+              "  inputElement.parentElement.appendChild(cancel);\n",
+              "  cancel.textContent = 'Cancel upload';\n",
+              "  const cancelPromise = new Promise((resolve) => {\n",
+              "    cancel.onclick = () => {\n",
+              "      resolve(null);\n",
+              "    };\n",
+              "  });\n",
+              "\n",
+              "  // Wait for the user to pick the files.\n",
+              "  const files = yield {\n",
+              "    promise: Promise.race([pickedPromise, cancelPromise]),\n",
+              "    response: {\n",
+              "      action: 'starting',\n",
+              "    }\n",
+              "  };\n",
+              "\n",
+              "  cancel.remove();\n",
+              "\n",
+              "  // Disable the input element since further picks are not allowed.\n",
+              "  inputElement.disabled = true;\n",
+              "\n",
+              "  if (!files) {\n",
+              "    return {\n",
+              "      response: {\n",
+              "        action: 'complete',\n",
+              "      }\n",
+              "    };\n",
+              "  }\n",
+              "\n",
+              "  for (const file of files) {\n",
+              "    const li = document.createElement('li');\n",
+              "    li.append(span(file.name, {fontWeight: 'bold'}));\n",
+              "    li.append(span(\n",
+              "        `(${file.type || 'n/a'}) - ${file.size} bytes, ` +\n",
+              "        `last modified: ${\n",
+              "            file.lastModifiedDate ? file.lastModifiedDate.toLocaleDateString() :\n",
+              "                                    'n/a'} - `));\n",
+              "    const percent = span('0% done');\n",
+              "    li.appendChild(percent);\n",
+              "\n",
+              "    outputElement.appendChild(li);\n",
+              "\n",
+              "    const fileDataPromise = new Promise((resolve) => {\n",
+              "      const reader = new FileReader();\n",
+              "      reader.onload = (e) => {\n",
+              "        resolve(e.target.result);\n",
+              "      };\n",
+              "      reader.readAsArrayBuffer(file);\n",
+              "    });\n",
+              "    // Wait for the data to be ready.\n",
+              "    let fileData = yield {\n",
+              "      promise: fileDataPromise,\n",
+              "      response: {\n",
+              "        action: 'continue',\n",
+              "      }\n",
+              "    };\n",
+              "\n",
+              "    // Use a chunked sending to avoid message size limits. See b/62115660.\n",
+              "    let position = 0;\n",
+              "    do {\n",
+              "      const length = Math.min(fileData.byteLength - position, MAX_PAYLOAD_SIZE);\n",
+              "      const chunk = new Uint8Array(fileData, position, length);\n",
+              "      position += length;\n",
+              "\n",
+              "      const base64 = btoa(String.fromCharCode.apply(null, chunk));\n",
+              "      yield {\n",
+              "        response: {\n",
+              "          action: 'append',\n",
+              "          file: file.name,\n",
+              "          data: base64,\n",
+              "        },\n",
+              "      };\n",
+              "\n",
+              "      let percentDone = fileData.byteLength === 0 ?\n",
+              "          100 :\n",
+              "          Math.round((position / fileData.byteLength) * 100);\n",
+              "      percent.textContent = `${percentDone}% done`;\n",
+              "\n",
+              "    } while (position < fileData.byteLength);\n",
+              "  }\n",
+              "\n",
+              "  // All done.\n",
+              "  yield {\n",
+              "    response: {\n",
+              "      action: 'complete',\n",
+              "    }\n",
+              "  };\n",
+              "}\n",
+              "\n",
+              "scope.google = scope.google || {};\n",
+              "scope.google.colab = scope.google.colab || {};\n",
+              "scope.google.colab._files = {\n",
+              "  _uploadFiles,\n",
+              "  _uploadFilesContinue,\n",
+              "};\n",
+              "})(self);\n",
+              "</script> "
+            ]
+          },
+          "metadata": {}
+        },
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Saving data.csv to data.csv\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "6gXowmSom462"
+      },
+      "source": [
+        "### *Load Dataset*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "6JLDHSdym6wP"
+      },
+      "source": [
+        "dataset = pd.read_csv('data.csv')"
+      ],
+      "execution_count": 3,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "-DdkIy1ZnDfA"
+      },
+      "source": [
+        "### *Load Summarize*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "OlElQViRnGFp",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "cfb430ee-c9d1-4ae7-b909-7eaf0fb9f3c5"
+      },
+      "source": [
+        "print(dataset.shape)\n",
+        "print(dataset.head(5))"
+      ],
+      "execution_count": 4,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "(201, 4)\n",
+            "   hours  age  internet  marks\n",
+            "0   6.83   15         1  78.50\n",
+            "1   6.56   16         0  76.74\n",
+            "2    NaN   17         1  78.68\n",
+            "3   5.67   18         0  71.82\n",
+            "4   8.67   19         1  84.19\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "-Zb9xIa-kOx5"
+      },
+      "source": [
+        "### *Finding & Removing NA values from our Features X*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "UwyBQ5nZkTpf",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "fbdf10d5-f2b7-4942-a800-d47f2c78eb8a"
+      },
+      "source": [
+        "dataset.columns[dataset.isna().any()]"
+      ],
+      "execution_count": 6,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "Index(['hours'], dtype='object')"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 6
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "8LxSw9aHlJTC"
+      },
+      "source": [
+        "dataset.hours = dataset.hours.fillna(dataset.hours.mean())"
+      ],
+      "execution_count": 13,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "JRyfB6prpJDP"
+      },
+      "source": [
+        "### *Segregate Dataset into Input X & Output Y*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "x9dQcTohpK1X",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "64f7c047-e8c2-4395-d502-e16b8526f1da"
+      },
+      "source": [
+        "X = dataset.iloc[:, :-1].values\n",
+        "print(X.shape)\n",
+        "X"
+      ],
+      "execution_count": 14,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "(201, 3)\n"
+          ]
+        },
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([[ 6.83      , 15.        ,  1.        ],\n",
+              "       [ 6.56      , 16.        ,  0.        ],\n",
+              "       [ 6.98142857, 17.        ,  1.        ],\n",
+              "       [ 5.67      , 18.        ,  0.        ],\n",
+              "       [ 8.67      , 19.        ,  1.        ],\n",
+              "       [ 7.55      , 20.        ,  0.        ],\n",
+              "       [ 6.67      , 15.        ,  0.        ],\n",
+              "       [ 8.99      , 16.        ,  0.        ],\n",
+              "       [ 5.19      , 17.        ,  1.        ],\n",
+              "       [ 6.75      , 18.        ,  0.        ],\n",
+              "       [ 6.59      , 19.        ,  0.        ],\n",
+              "       [ 8.56      , 20.        ,  1.        ],\n",
+              "       [ 7.75      , 15.        ,  0.        ],\n",
+              "       [ 7.9       , 16.        ,  1.        ],\n",
+              "       [ 8.19      , 17.        ,  0.        ],\n",
+              "       [ 6.55      , 18.        ,  1.        ],\n",
+              "       [ 6.36      , 19.        ,  0.        ],\n",
+              "       [ 8.44      , 20.        ,  1.        ],\n",
+              "       [ 8.41      , 15.        ,  0.        ],\n",
+              "       [ 7.67      , 16.        ,  1.        ],\n",
+              "       [ 7.42      , 17.        ,  1.        ],\n",
+              "       [ 8.16      , 18.        ,  1.        ],\n",
+              "       [ 5.05      , 19.        ,  1.        ],\n",
+              "       [ 5.85      , 20.        ,  1.        ],\n",
+              "       [ 5.45      , 15.        ,  0.        ],\n",
+              "       [ 7.96      , 16.        ,  0.        ],\n",
+              "       [ 6.51      , 17.        ,  0.        ],\n",
+              "       [ 6.73      , 18.        ,  0.        ],\n",
+              "       [ 5.94      , 19.        ,  1.        ],\n",
+              "       [ 7.48      , 20.        ,  0.        ],\n",
+              "       [ 8.13      , 15.        ,  1.        ],\n",
+              "       [ 6.98142857, 16.        ,  1.        ],\n",
+              "       [ 5.4       , 17.        ,  1.        ],\n",
+              "       [ 8.78      , 18.        ,  0.        ],\n",
+              "       [ 8.72      , 19.        ,  1.        ],\n",
+              "       [ 7.1       , 20.        ,  0.        ],\n",
+              "       [ 7.86      , 15.        ,  1.        ],\n",
+              "       [ 7.19      , 16.        ,  0.        ],\n",
+              "       [ 5.62      , 17.        ,  1.        ],\n",
+              "       [ 7.88      , 18.        ,  0.        ],\n",
+              "       [ 5.28      , 19.        ,  1.        ],\n",
+              "       [ 8.92      , 20.        ,  1.        ],\n",
+              "       [ 5.46      , 15.        ,  0.        ],\n",
+              "       [ 8.3       , 16.        ,  1.        ],\n",
+              "       [ 8.09      , 17.        ,  0.        ],\n",
+              "       [ 6.18      , 18.        ,  1.        ],\n",
+              "       [ 7.01      , 19.        ,  1.        ],\n",
+              "       [ 5.01      , 20.        ,  0.        ],\n",
+              "       [ 5.54      , 15.        ,  1.        ],\n",
+              "       [ 5.09      , 16.        ,  1.        ],\n",
+              "       [ 5.09      , 17.        ,  0.        ],\n",
+              "       [ 7.31      , 18.        ,  1.        ],\n",
+              "       [ 8.71      , 19.        ,  0.        ],\n",
+              "       [ 5.52      , 20.        ,  1.        ],\n",
+              "       [ 8.76      , 15.        ,  0.        ],\n",
+              "       [ 8.69      , 16.        ,  1.        ],\n",
+              "       [ 5.75      , 17.        ,  1.        ],\n",
+              "       [ 8.93      , 18.        ,  1.        ],\n",
+              "       [ 5.39      , 19.        ,  1.        ],\n",
+              "       [ 5.65      , 20.        ,  0.        ],\n",
+              "       [ 5.49      , 15.        ,  1.        ],\n",
+              "       [ 7.26      , 16.        ,  1.        ],\n",
+              "       [ 6.35      , 17.        ,  0.        ],\n",
+              "       [ 7.72      , 18.        ,  1.        ],\n",
+              "       [ 8.88      , 19.        ,  0.        ],\n",
+              "       [ 5.45      , 20.        ,  1.        ],\n",
+              "       [ 7.86      , 15.        ,  1.        ],\n",
+              "       [ 8.26      , 16.        ,  0.        ],\n",
+              "       [ 5.07      , 17.        ,  1.        ],\n",
+              "       [ 8.25      , 18.        ,  0.        ],\n",
+              "       [ 5.37      , 19.        ,  1.        ],\n",
+              "       [ 5.11      , 20.        ,  1.        ],\n",
+              "       [ 6.35      , 15.        ,  0.        ],\n",
+              "       [ 7.41      , 16.        ,  1.        ],\n",
+              "       [ 7.31      , 17.        ,  0.        ],\n",
+              "       [ 6.04      , 18.        ,  1.        ],\n",
+              "       [ 5.11      , 19.        ,  1.        ],\n",
+              "       [ 6.56      , 20.        ,  0.        ],\n",
+              "       [ 5.09      , 15.        ,  1.        ],\n",
+              "       [ 5.88      , 16.        ,  0.        ],\n",
+              "       [ 8.34      , 17.        ,  1.        ],\n",
+              "       [ 7.94      , 18.        ,  0.        ],\n",
+              "       [ 6.66      , 19.        ,  1.        ],\n",
+              "       [ 6.01      , 20.        ,  1.        ],\n",
+              "       [ 6.88      , 15.        ,  0.        ],\n",
+              "       [ 5.63      , 16.        ,  1.        ],\n",
+              "       [ 5.88      , 17.        ,  0.        ],\n",
+              "       [ 8.05      , 18.        ,  1.        ],\n",
+              "       [ 5.33      , 19.        ,  0.        ],\n",
+              "       [ 8.79      , 20.        ,  0.        ],\n",
+              "       [ 7.52      , 15.        ,  1.        ],\n",
+              "       [ 8.2       , 16.        ,  0.        ],\n",
+              "       [ 5.44      , 17.        ,  1.        ],\n",
+              "       [ 7.9       , 18.        ,  0.        ],\n",
+              "       [ 7.69      , 19.        ,  1.        ],\n",
+              "       [ 6.09      , 20.        ,  0.        ],\n",
+              "       [ 6.98142857, 15.        ,  1.        ],\n",
+              "       [ 5.2       , 16.        ,  1.        ],\n",
+              "       [ 8.88      , 17.        ,  0.        ],\n",
+              "       [ 8.07      , 18.        ,  1.        ],\n",
+              "       [ 6.24      , 19.        ,  1.        ],\n",
+              "       [ 7.95      , 20.        ,  0.        ],\n",
+              "       [ 8.26      , 15.        ,  0.        ],\n",
+              "       [ 7.31      , 16.        ,  1.        ],\n",
+              "       [ 7.23      , 17.        ,  1.        ],\n",
+              "       [ 6.46      , 18.        ,  1.        ],\n",
+              "       [ 5.34      , 19.        ,  1.        ],\n",
+              "       [ 5.72      , 20.        ,  1.        ],\n",
+              "       [ 5.84      , 15.        ,  0.        ],\n",
+              "       [ 5.02      , 16.        ,  1.        ],\n",
+              "       [ 7.98      , 17.        ,  0.        ],\n",
+              "       [ 6.37      , 18.        ,  1.        ],\n",
+              "       [ 6.92      , 19.        ,  0.        ],\n",
+              "       [ 7.95      , 20.        ,  1.        ],\n",
+              "       [ 7.12      , 15.        ,  0.        ],\n",
+              "       [ 5.79      , 16.        ,  1.        ],\n",
+              "       [ 5.4       , 17.        ,  0.        ],\n",
+              "       [ 8.83      , 18.        ,  1.        ],\n",
+              "       [ 5.69      , 19.        ,  0.        ],\n",
+              "       [ 6.6       , 20.        ,  1.        ],\n",
+              "       [ 6.52      , 15.        ,  0.        ],\n",
+              "       [ 8.31      , 16.        ,  0.        ],\n",
+              "       [ 6.98142857, 17.        ,  1.        ],\n",
+              "       [ 7.62      , 18.        ,  0.        ],\n",
+              "       [ 8.69      , 19.        ,  1.        ],\n",
+              "       [ 8.75      , 20.        ,  0.        ],\n",
+              "       [ 6.46      , 15.        ,  1.        ],\n",
+              "       [ 7.14      , 16.        ,  1.        ],\n",
+              "       [ 6.38      , 17.        ,  0.        ],\n",
+              "       [ 6.33      , 18.        ,  1.        ],\n",
+              "       [ 5.64      , 19.        ,  0.        ],\n",
+              "       [ 5.26      , 20.        ,  1.        ],\n",
+              "       [ 6.83      , 15.        ,  1.        ],\n",
+              "       [ 5.76      , 16.        ,  0.        ],\n",
+              "       [ 6.51      , 17.        ,  1.        ],\n",
+              "       [ 8.33      , 18.        ,  0.        ],\n",
+              "       [ 8.16      , 19.        ,  1.        ],\n",
+              "       [ 5.14      , 20.        ,  0.        ],\n",
+              "       [ 8.71      , 15.        ,  0.        ],\n",
+              "       [ 8.6       , 16.        ,  1.        ],\n",
+              "       [ 8.6       , 17.        ,  0.        ],\n",
+              "       [ 7.43      , 18.        ,  1.        ],\n",
+              "       [ 7.81      , 19.        ,  1.        ],\n",
+              "       [ 6.51      , 20.        ,  0.        ],\n",
+              "       [ 8.11      , 15.        ,  1.        ],\n",
+              "       [ 8.95      , 16.        ,  0.        ],\n",
+              "       [ 7.99      , 17.        ,  1.        ],\n",
+              "       [ 5.92      , 18.        ,  0.        ],\n",
+              "       [ 8.3       , 19.        ,  1.        ],\n",
+              "       [ 8.97      , 20.        ,  0.        ],\n",
+              "       [ 5.39      , 15.        ,  0.        ],\n",
+              "       [ 6.77      , 16.        ,  0.        ],\n",
+              "       [ 8.08      , 17.        ,  1.        ],\n",
+              "       [ 5.24      , 18.        ,  0.        ],\n",
+              "       [ 6.93      , 19.        ,  1.        ],\n",
+              "       [ 5.14      , 20.        ,  0.        ],\n",
+              "       [ 8.39      , 15.        ,  1.        ],\n",
+              "       [ 6.18      , 16.        ,  0.        ],\n",
+              "       [ 7.53      , 17.        ,  1.        ],\n",
+              "       [ 7.86      , 18.        ,  0.        ],\n",
+              "       [ 7.7       , 19.        ,  1.        ],\n",
+              "       [ 7.3       , 20.        ,  0.        ],\n",
+              "       [ 7.79      , 15.        ,  1.        ],\n",
+              "       [ 6.75      , 16.        ,  0.        ],\n",
+              "       [ 7.87      , 17.        ,  1.        ],\n",
+              "       [ 5.38      , 18.        ,  0.        ],\n",
+              "       [ 7.8       , 19.        ,  1.        ],\n",
+              "       [ 5.07      , 20.        ,  0.        ],\n",
+              "       [ 7.95      , 15.        ,  1.        ],\n",
+              "       [ 8.35      , 16.        ,  0.        ],\n",
+              "       [ 5.19      , 17.        ,  0.        ],\n",
+              "       [ 7.19      , 18.        ,  0.        ],\n",
+              "       [ 7.35      , 19.        ,  1.        ],\n",
+              "       [ 5.22      , 20.        ,  1.        ],\n",
+              "       [ 5.39      , 15.        ,  1.        ],\n",
+              "       [ 5.39      , 16.        ,  1.        ],\n",
+              "       [ 8.93      , 17.        ,  1.        ],\n",
+              "       [ 5.79      , 18.        ,  0.        ],\n",
+              "       [ 8.42      , 19.        ,  1.        ],\n",
+              "       [ 7.26      , 20.        ,  0.        ],\n",
+              "       [ 6.97      , 15.        ,  1.        ],\n",
+              "       [ 5.55      , 16.        ,  1.        ],\n",
+              "       [ 8.66      , 17.        ,  0.        ],\n",
+              "       [ 8.61      , 18.        ,  1.        ],\n",
+              "       [ 5.22      , 19.        ,  1.        ],\n",
+              "       [ 8.05      , 20.        ,  0.        ],\n",
+              "       [ 8.87      , 15.        ,  1.        ],\n",
+              "       [ 5.54      , 16.        ,  0.        ],\n",
+              "       [ 6.98142857, 17.        ,  0.        ],\n",
+              "       [ 7.26      , 18.        ,  1.        ],\n",
+              "       [ 5.79      , 19.        ,  0.        ],\n",
+              "       [ 5.22      , 20.        ,  0.        ],\n",
+              "       [ 8.71      , 15.        ,  1.        ],\n",
+              "       [ 7.55      , 16.        ,  1.        ],\n",
+              "       [ 6.35      , 17.        ,  1.        ],\n",
+              "       [ 7.53      , 18.        ,  0.        ],\n",
+              "       [ 8.56      , 19.        ,  1.        ],\n",
+              "       [ 8.94      , 20.        ,  1.        ],\n",
+              "       [ 6.6       , 15.        ,  1.        ],\n",
+              "       [ 8.35      , 16.        ,  1.        ],\n",
+              "       [ 4.15      , 15.        ,  0.        ]])"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 14
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "SqxVaBO0pf1W",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "5793f7be-3c73-48d1-ac38-11179a8161fe"
+      },
+      "source": [
+        "Y = dataset.iloc[:, -1].values\n",
+        "Y"
+      ],
+      "execution_count": 8,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([78.5 , 76.74, 78.68, 71.82, 84.19, 81.18, 76.99, 85.46, 70.66,\n",
+              "       77.82, 75.37, 83.88, 79.5 , 80.76, 83.08, 76.03, 76.04, 85.11,\n",
+              "       82.5 , 80.58, 82.18, 83.36, 70.67, 75.02, 70.96, 83.33, 74.75,\n",
+              "       75.65, 74.15, 80.17, 82.27, 76.14, 71.1 , 84.35, 83.08, 76.76,\n",
+              "       81.24, 78.21, 73.08, 83.23, 70.27, 86.41, 71.1 , 82.84, 82.38,\n",
+              "       72.96, 77.46, 70.11, 72.38, 71.41, 72.22, 77.77, 84.44, 71.45,\n",
+              "       82.21, 85.48, 75.03, 86.65, 70.9 , 71.7 , 73.61, 79.41, 76.19,\n",
+              "       80.43, 85.78, 70.06, 81.25, 81.7 , 69.27, 82.79, 71.8 , 71.79,\n",
+              "       74.97, 78.61, 77.59, 72.33, 72.08, 77.33, 70.05, 73.34, 84.  ,\n",
+              "       82.93, 76.63, 75.36, 77.29, 72.87, 73.4 , 81.74, 71.85, 84.6 ,\n",
+              "       79.56, 82.1 , 72.08, 79.1 , 81.01, 76.48, 75.39, 68.57, 83.64,\n",
+              "       82.3 , 75.18, 82.03, 82.99, 79.26, 77.55, 77.07, 72.1 , 73.25,\n",
+              "       74.25, 70.58, 81.08, 75.04, 76.38, 80.86, 78.42, 74.44, 70.34,\n",
+              "       85.04, 73.61, 75.55, 76.2 , 82.69, 76.83, 79.53, 83.57, 85.95,\n",
+              "       76.02, 77.65, 77.01, 74.49, 73.19, 71.86, 75.8 , 72.46, 78.39,\n",
+              "       83.48, 83.15, 71.22, 85.98, 83.91, 84.58, 80.31, 82.55, 75.52,\n",
+              "       83.82, 85.15, 82.75, 74.34, 82.02, 86.12, 71.87, 76.7 , 81.7 ,\n",
+              "       70.78, 78.45, 70.2 , 83.37, 75.52, 81.57, 80.72, 80.81, 79.49,\n",
+              "       79.17, 77.07, 82.04, 71.94, 81.6 , 70.79, 82.68, 83.08, 71.18,\n",
+              "       77.63, 77.78, 70.4 , 73.02, 71.11, 85.96, 73.64, 84.24, 78.17,\n",
+              "       77.19, 71.83, 86.99, 83.87, 71.5 , 79.63, 85.1 , 72.01, 77.27,\n",
+              "       79.87, 73.14, 70.51, 84.03, 79.64, 74.24, 81.67, 84.68, 86.75,\n",
+              "       78.05, 83.5 , 81.45])"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 8
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "KsDoGjjbpmjk"
+      },
+      "source": [
+        "### *Training Dataset using Linear Regression*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "nKmEySI1poV_",
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 80
+        },
+        "outputId": "875ea4c7-b893-4617-bce9-011f7fe33c6d"
+      },
+      "source": [
+        "model = LinearRegression()\n",
+        "model.fit(X,Y)"
+      ],
+      "execution_count": 15,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "LinearRegression()"
+            ],
+            "text/html": [
+              "<style>#sk-container-id-1 {\n",
+              "  /* Definition of color scheme common for light and dark mode */\n",
+              "  --sklearn-color-text: #000;\n",
+              "  --sklearn-color-text-muted: #666;\n",
+              "  --sklearn-color-line: gray;\n",
+              "  /* Definition of color scheme for unfitted estimators */\n",
+              "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
+              "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
+              "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
+              "  --sklearn-color-unfitted-level-3: chocolate;\n",
+              "  /* Definition of color scheme for fitted estimators */\n",
+              "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
+              "  --sklearn-color-fitted-level-1: #d4ebff;\n",
+              "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
+              "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
+              "\n",
+              "  /* Specific color for light theme */\n",
+              "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
+              "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
+              "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
+              "  --sklearn-color-icon: #696969;\n",
+              "\n",
+              "  @media (prefers-color-scheme: dark) {\n",
+              "    /* Redefinition of color scheme for dark theme */\n",
+              "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
+              "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
+              "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
+              "    --sklearn-color-icon: #878787;\n",
+              "  }\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 {\n",
+              "  color: var(--sklearn-color-text);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 pre {\n",
+              "  padding: 0;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 input.sk-hidden--visually {\n",
+              "  border: 0;\n",
+              "  clip: rect(1px 1px 1px 1px);\n",
+              "  clip: rect(1px, 1px, 1px, 1px);\n",
+              "  height: 1px;\n",
+              "  margin: -1px;\n",
+              "  overflow: hidden;\n",
+              "  padding: 0;\n",
+              "  position: absolute;\n",
+              "  width: 1px;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-dashed-wrapped {\n",
+              "  border: 1px dashed var(--sklearn-color-line);\n",
+              "  margin: 0 0.4em 0.5em 0.4em;\n",
+              "  box-sizing: border-box;\n",
+              "  padding-bottom: 0.4em;\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-container {\n",
+              "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
+              "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
+              "     so we also need the `!important` here to be able to override the\n",
+              "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
+              "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
+              "  display: inline-block !important;\n",
+              "  position: relative;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-text-repr-fallback {\n",
+              "  display: none;\n",
+              "}\n",
+              "\n",
+              "div.sk-parallel-item,\n",
+              "div.sk-serial,\n",
+              "div.sk-item {\n",
+              "  /* draw centered vertical line to link estimators */\n",
+              "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
+              "  background-size: 2px 100%;\n",
+              "  background-repeat: no-repeat;\n",
+              "  background-position: center center;\n",
+              "}\n",
+              "\n",
+              "/* Parallel-specific style estimator block */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel-item::after {\n",
+              "  content: \"\";\n",
+              "  width: 100%;\n",
+              "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
+              "  flex-grow: 1;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel {\n",
+              "  display: flex;\n",
+              "  align-items: stretch;\n",
+              "  justify-content: center;\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "  position: relative;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel-item {\n",
+              "  display: flex;\n",
+              "  flex-direction: column;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
+              "  align-self: flex-end;\n",
+              "  width: 50%;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
+              "  align-self: flex-start;\n",
+              "  width: 50%;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
+              "  width: 0;\n",
+              "}\n",
+              "\n",
+              "/* Serial-specific style estimator block */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-serial {\n",
+              "  display: flex;\n",
+              "  flex-direction: column;\n",
+              "  align-items: center;\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "  padding-right: 1em;\n",
+              "  padding-left: 1em;\n",
+              "}\n",
+              "\n",
+              "\n",
+              "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
+              "clickable and can be expanded/collapsed.\n",
+              "- Pipeline and ColumnTransformer use this feature and define the default style\n",
+              "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
+              "*/\n",
+              "\n",
+              "/* Pipeline and ColumnTransformer style (default) */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-toggleable {\n",
+              "  /* Default theme specific background. It is overwritten whether we have a\n",
+              "  specific estimator or a Pipeline/ColumnTransformer */\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "}\n",
+              "\n",
+              "/* Toggleable label */\n",
+              "#sk-container-id-1 label.sk-toggleable__label {\n",
+              "  cursor: pointer;\n",
+              "  display: flex;\n",
+              "  width: 100%;\n",
+              "  margin-bottom: 0;\n",
+              "  padding: 0.5em;\n",
+              "  box-sizing: border-box;\n",
+              "  text-align: center;\n",
+              "  align-items: start;\n",
+              "  justify-content: space-between;\n",
+              "  gap: 0.5em;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
+              "  font-size: 0.6rem;\n",
+              "  font-weight: lighter;\n",
+              "  color: var(--sklearn-color-text-muted);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
+              "  /* Arrow on the left of the label */\n",
+              "  content: \"▸\";\n",
+              "  float: left;\n",
+              "  margin-right: 0.25em;\n",
+              "  color: var(--sklearn-color-icon);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
+              "  color: var(--sklearn-color-text);\n",
+              "}\n",
+              "\n",
+              "/* Toggleable content - dropdown */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-toggleable__content {\n",
+              "  max-height: 0;\n",
+              "  max-width: 0;\n",
+              "  overflow: hidden;\n",
+              "  text-align: left;\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-0);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-0);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-toggleable__content pre {\n",
+              "  margin: 0.2em;\n",
+              "  border-radius: 0.25em;\n",
+              "  color: var(--sklearn-color-text);\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-0);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-0);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
+              "  /* Expand drop-down */\n",
+              "  max-height: 200px;\n",
+              "  max-width: 100%;\n",
+              "  overflow: auto;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
+              "  content: \"▾\";\n",
+              "}\n",
+              "\n",
+              "/* Pipeline/ColumnTransformer-specific style */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
+              "  color: var(--sklearn-color-text);\n",
+              "  background-color: var(--sklearn-color-unfitted-level-2);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
+              "  background-color: var(--sklearn-color-fitted-level-2);\n",
+              "}\n",
+              "\n",
+              "/* Estimator-specific style */\n",
+              "\n",
+              "/* Colorize estimator box */\n",
+              "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-2);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-2);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
+              "#sk-container-id-1 div.sk-label label {\n",
+              "  /* The background is the default theme color */\n",
+              "  color: var(--sklearn-color-text-on-default-background);\n",
+              "}\n",
+              "\n",
+              "/* On hover, darken the color of the background */\n",
+              "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
+              "  color: var(--sklearn-color-text);\n",
+              "  background-color: var(--sklearn-color-unfitted-level-2);\n",
+              "}\n",
+              "\n",
+              "/* Label box, darken color on hover, fitted */\n",
+              "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
+              "  color: var(--sklearn-color-text);\n",
+              "  background-color: var(--sklearn-color-fitted-level-2);\n",
+              "}\n",
+              "\n",
+              "/* Estimator label */\n",
+              "\n",
+              "#sk-container-id-1 div.sk-label label {\n",
+              "  font-family: monospace;\n",
+              "  font-weight: bold;\n",
+              "  display: inline-block;\n",
+              "  line-height: 1.2em;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-label-container {\n",
+              "  text-align: center;\n",
+              "}\n",
+              "\n",
+              "/* Estimator-specific */\n",
+              "#sk-container-id-1 div.sk-estimator {\n",
+              "  font-family: monospace;\n",
+              "  border: 1px dotted var(--sklearn-color-border-box);\n",
+              "  border-radius: 0.25em;\n",
+              "  box-sizing: border-box;\n",
+              "  margin-bottom: 0.5em;\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-0);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-estimator.fitted {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-0);\n",
+              "}\n",
+              "\n",
+              "/* on hover */\n",
+              "#sk-container-id-1 div.sk-estimator:hover {\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-2);\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-2);\n",
+              "}\n",
+              "\n",
+              "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
+              "\n",
+              "/* Common style for \"i\" and \"?\" */\n",
+              "\n",
+              ".sk-estimator-doc-link,\n",
+              "a:link.sk-estimator-doc-link,\n",
+              "a:visited.sk-estimator-doc-link {\n",
+              "  float: right;\n",
+              "  font-size: smaller;\n",
+              "  line-height: 1em;\n",
+              "  font-family: monospace;\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "  border-radius: 1em;\n",
+              "  height: 1em;\n",
+              "  width: 1em;\n",
+              "  text-decoration: none !important;\n",
+              "  margin-left: 0.5em;\n",
+              "  text-align: center;\n",
+              "  /* unfitted */\n",
+              "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
+              "  color: var(--sklearn-color-unfitted-level-1);\n",
+              "}\n",
+              "\n",
+              ".sk-estimator-doc-link.fitted,\n",
+              "a:link.sk-estimator-doc-link.fitted,\n",
+              "a:visited.sk-estimator-doc-link.fitted {\n",
+              "  /* fitted */\n",
+              "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
+              "  color: var(--sklearn-color-fitted-level-1);\n",
+              "}\n",
+              "\n",
+              "/* On hover */\n",
+              "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
+              ".sk-estimator-doc-link:hover,\n",
+              "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
+              ".sk-estimator-doc-link:hover {\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-3);\n",
+              "  color: var(--sklearn-color-background);\n",
+              "  text-decoration: none;\n",
+              "}\n",
+              "\n",
+              "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
+              ".sk-estimator-doc-link.fitted:hover,\n",
+              "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
+              ".sk-estimator-doc-link.fitted:hover {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-3);\n",
+              "  color: var(--sklearn-color-background);\n",
+              "  text-decoration: none;\n",
+              "}\n",
+              "\n",
+              "/* Span, style for the box shown on hovering the info icon */\n",
+              ".sk-estimator-doc-link span {\n",
+              "  display: none;\n",
+              "  z-index: 9999;\n",
+              "  position: relative;\n",
+              "  font-weight: normal;\n",
+              "  right: .2ex;\n",
+              "  padding: .5ex;\n",
+              "  margin: .5ex;\n",
+              "  width: min-content;\n",
+              "  min-width: 20ex;\n",
+              "  max-width: 50ex;\n",
+              "  color: var(--sklearn-color-text);\n",
+              "  box-shadow: 2pt 2pt 4pt #999;\n",
+              "  /* unfitted */\n",
+              "  background: var(--sklearn-color-unfitted-level-0);\n",
+              "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
+              "}\n",
+              "\n",
+              ".sk-estimator-doc-link.fitted span {\n",
+              "  /* fitted */\n",
+              "  background: var(--sklearn-color-fitted-level-0);\n",
+              "  border: var(--sklearn-color-fitted-level-3);\n",
+              "}\n",
+              "\n",
+              ".sk-estimator-doc-link:hover span {\n",
+              "  display: block;\n",
+              "}\n",
+              "\n",
+              "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
+              "\n",
+              "#sk-container-id-1 a.estimator_doc_link {\n",
+              "  float: right;\n",
+              "  font-size: 1rem;\n",
+              "  line-height: 1em;\n",
+              "  font-family: monospace;\n",
+              "  background-color: var(--sklearn-color-background);\n",
+              "  border-radius: 1rem;\n",
+              "  height: 1rem;\n",
+              "  width: 1rem;\n",
+              "  text-decoration: none;\n",
+              "  /* unfitted */\n",
+              "  color: var(--sklearn-color-unfitted-level-1);\n",
+              "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
+              "  /* fitted */\n",
+              "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
+              "  color: var(--sklearn-color-fitted-level-1);\n",
+              "}\n",
+              "\n",
+              "/* On hover */\n",
+              "#sk-container-id-1 a.estimator_doc_link:hover {\n",
+              "  /* unfitted */\n",
+              "  background-color: var(--sklearn-color-unfitted-level-3);\n",
+              "  color: var(--sklearn-color-background);\n",
+              "  text-decoration: none;\n",
+              "}\n",
+              "\n",
+              "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
+              "  /* fitted */\n",
+              "  background-color: var(--sklearn-color-fitted-level-3);\n",
+              "}\n",
+              "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LinearRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.6/modules/generated/sklearn.linear_model.LinearRegression.html\">?<span>Documentation for LinearRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\"><pre>LinearRegression()</pre></div> </div></div></div></div>"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 15
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "n-UeFqpGpw9p"
+      },
+      "source": [
+        "### *Predicted Price for Land sq.Feet of custom values*"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "metadata": {
+        "id": "Ollo3wTcpyKQ",
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "outputId": "c88cfbbe-6fa4-4be4-e1bc-747df623e40a"
+      },
+      "source": [
+        "a=[[9.2,20,0]]\n",
+        "PredictedmodelResult = model.predict(a)\n",
+        "print(PredictedmodelResult)"
+      ],
+      "execution_count": 16,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "[86.26599847]\n"
+          ]
+        }
+      ]
+    }
+  ]
+}
\ No newline at end of file