Linear_Regression_Manual_Implementation.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNyCbI+53WfMQL+cHVR5xNn",
      "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/Mercury1565/Linear-Regression-Exercises/blob/main/Linear_Regression_Manual_Implementation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dfLk0rCynMlZ",
        "outputId": "7f69916a-79f5-408b-d9f0-fd42f1113a40"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "CSV file generated successfully: student_study_time_vs_exam_score.csv\n"
          ]
        }
      ],
      "source": [
        "import csv\n",
        "import random\n",
        "\n",
        "num_students = 200\n",
        "\n",
        "# Generate random student data with a positive correlation between study time and exam score, with outliers\n",
        "student_data = []\n",
        "for i in range(num_students):\n",
        "  study_time = random.randint(2, 45)  # Hours studying (2-45 hours)\n",
        "  exam_score = int(70 + 0.5 * study_time + random.gauss(0, 5))  # Base score + bonus for study time + random noise\n",
        "  exam_score = max(0, exam_score)  # Limit scores to 0-100 (clip to 0 at the lower bound)\n",
        "\n",
        "  # Introduce outliers (low score with high study time, high score with low study time)\n",
        "  if random.random() < 0.1:  # 10% chance of outlier\n",
        "    if random.random() < 0.5:  # 50% chance of low score outlier\n",
        "      exam_score = int(exam_score * 0.75)  # Reduce score by 25%\n",
        "    else:\n",
        "      exam_score = min(100, int(exam_score * 1.25))  # Increase score by 25% and clip to 100 at upper bound\n",
        "\n",
        "  student_data.append({\"study_time\": study_time, \"score\": exam_score})\n",
        "\n",
        "# Write data to CSV file\n",
        "with open(\"student_study_time_vs_exam_score.csv\", \"w\", newline=\"\") as csvfile:\n",
        "  fieldnames = [\"study_time\", \"score\"]\n",
        "  writer = csv.DictWriter(csvfile, fieldnames=fieldnames)\n",
        "  writer.writeheader()\n",
        "  writer.writerows(student_data)\n",
        "\n",
        "print(\"CSV file generated successfully: student_study_time_vs_exam_score.csv\")"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install pandas\n",
        "!pip install matplotlib"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nB4dBiAWovX6",
        "outputId": "fe28cac0-0e74-427b-8eaf-7904f114a02e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: pandas in /usr/local/lib/python3.10/dist-packages (2.0.3)\n",
            "Requirement already satisfied: python-dateutil>=2.8.2 in /usr/local/lib/python3.10/dist-packages (from pandas) (2.8.2)\n",
            "Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas) (2023.4)\n",
            "Requirement already satisfied: tzdata>=2022.1 in /usr/local/lib/python3.10/dist-packages (from pandas) (2024.1)\n",
            "Requirement already satisfied: numpy>=1.21.0 in /usr/local/lib/python3.10/dist-packages (from pandas) (1.25.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.2->pandas) (1.16.0)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (3.7.1)\n",
            "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.2.1)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (0.12.1)\n",
            "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (4.51.0)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.4.5)\n",
            "Requirement already satisfied: numpy>=1.20 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.25.2)\n",
            "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (24.0)\n",
            "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (9.4.0)\n",
            "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (3.1.2)\n",
            "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (2.8.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ],
      "metadata": {
        "id": "CUFQ6H3dpD7B"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data = pd.read_csv('/content/sample_data/student_study_time_vs_exam_score.csv')\n",
        "print(data)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "UMnFx-cEpMfe",
        "outputId": "ebd85e0f-cf00-478a-e1c0-3b90c261218e"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "     study_time  score\n",
            "0            21     84\n",
            "1            15     82\n",
            "2             5     64\n",
            "3             6     73\n",
            "4            18     93\n",
            "..          ...    ...\n",
            "195          21     84\n",
            "196           4     68\n",
            "197          35    100\n",
            "198          15     75\n",
            "199          13     86\n",
            "\n",
            "[200 rows x 2 columns]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(data.study_time , data.score)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "HPbHNhFsq8X4",
        "outputId": "057e297c-be9f-4acf-b77e-406252cbd55a"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def mean_square_error(slope , y_intercept , points):\n",
        "  error = 0\n",
        "  for i in range(len(points)):\n",
        "    x = points.iloc[i].study_time\n",
        "    y = points.iloc[i].score\n",
        "\n",
        "    error += (y - (slope*x + y_intercept)) ** 2\n",
        "\n",
        "  error /= len(points)\n",
        "\n",
        "  return error"
      ],
      "metadata": {
        "id": "YvSX6C19tKo9"
      },
      "execution_count": 48,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def gradient_decent(current_slope , current_yInt , points, learning_rate):\n",
        "  intercept_gradient = 0\n",
        "  slope_gradient = 0\n",
        "\n",
        "  n = len(points)\n",
        "\n",
        "  for i in range(n):\n",
        "     x = points.iloc[i].study_time\n",
        "     y = points.iloc[i].score\n",
        "\n",
        "     slope_gradient += (-2/n) * ((x)*(y - (current_slope * x) - current_yInt))\n",
        "     intercept_gradient += (-2/n) * (y - (current_slope * x) - current_yInt)\n",
        "\n",
        "  slope = current_slope - (slope_gradient) * learning_rate\n",
        "  yInt = current_yInt - (intercept_gradient) * learning_rate\n",
        "\n",
        "  return slope , yInt\n",
        ""
      ],
      "metadata": {
        "id": "MAeA7NaxuY9K"
      },
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "slope = 0\n",
        "yInt = 0\n",
        "learning_rate = 0.001\n",
        "epochs = 3000\n",
        "\n",
        "for i in range(epochs):\n",
        "  if i % 50 == 0:\n",
        "    mse = mean_square_error(slope , yInt , data)\n",
        "\n",
        "    print(f\"Epoch i\")\n",
        "    print(f\"Mean Square Error {mse}\")\n",
        "  slope , yInt = gradient_decent(slope , yInt , data , learning_rate)\n",
        "  print(slope , yInt)\n",
        "\n",
        "print(slope , yInt)\n",
        "plt.scatter(data.study_time , data.score , color = 'black')\n",
        "plt.plot(list(range(2,45)) , [slope * x + yInt for x in range(2,45)] , color = 'red')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "1h8arVmhvI18",
        "outputId": "5b9d221a-74e1-4516-ec8d-78c45eeaa1b5"
      },
      "execution_count": 54,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "Mean Square Error 6683.84\n",
            "3.85011 0.16207999999999995\n",
            "2.5212722276 0.14981086799999993\n",
            "2.977937069364976 0.19762974157647992\n",
            "2.819030015991909 0.22471172655803007\n",
            "2.872349167270514 0.2589221463820797\n",
            "2.8525015908095988 0.2906541197286883\n",
            "2.8578797877587765 0.3232197395846371\n",
            "2.854561809420452 0.35547713369877115\n",
            "2.8542426380913395 0.3878199856455692\n",
            "2.852890293550349 0.4201125784325495\n",
            "2.851894847096627 0.45240171200720863\n",
            "2.8507770552998277 0.48467126149442663\n",
            "2.849702142519339 0.5169267960718855\n",
            "2.848613145419213 0.5491664056378677\n",
            "2.8475297024314776 0.5813907586536435\n",
            "2.846445042646275 0.6135996345864334\n",
            "2.8453615000787855 0.6457931193896489\n",
            "2.8442782697165456 0.6779711933473085\n",
            "2.8431956287631945 0.710133873169426\n",
            "2.842113481316063 0.7422811630029907\n",
            "20\n",
            "Mean Square Error 1142.0723567495975\n",
            "2.8410318601053395 0.7744130713214987\n",
            "2.839950753513712 0.8065296051020944\n",
            "2.838870165213339 0.8386307718330704\n",
            "2.8377900936053186 0.8707165788217613\n",
            "2.836710538908167 0.9027870334331574\n",
            "2.835631500713982 0.9348421430076419\n",
            "2.8345529788309873 0.9668819148893546\n",
            "2.833474972993053 0.9989063564164152\n",
            "2.8323974829598426 1.0309154749242964\n",
            "2.8313205084822854 1.062909277744663\n",
            "2.8302440493144814 1.0948877722057744\n",
            "2.8291681052095963 1.1268509656323482\n",
            "2.828092675921276 1.1587988653456098\n",
            "2.8270177612031597 1.190731478663277\n",
            "2.825943360809047 1.2226488128995676\n",
            "2.824869474492842 1.2545508753651995\n",
            "2.82379610200857 1.2864376733673926\n",
            "2.8227232431103726 1.3183092142098705\n",
            "2.8216508975525096 1.3501655051928618\n",
            "2.820579065089359 1.3820065536131025\n",
            "40\n",
            "Mean Square Error 1121.591486412961\n",
            "2.8195077454754163 1.4138323667638373\n",
            "2.8184369384652928 1.4456429519348208\n",
            "2.817366643813719 1.47743831641232\n",
            "2.8162968612755424 1.5092184674791151\n",
            "2.8152275906057267 1.5409834124145023\n",
            "2.814158831559355 1.5727331584942945\n",
            "2.8130905838916247 1.6044677129908231\n",
            "2.8120228473578535 1.6361870831729401\n",
            "2.8109556217134735 1.6678912763060194\n",
            "2.8098889067140354 1.6995802996519584\n",
            "2.808822702115206 1.7312541604691802\n",
            "2.8077570076727696 1.7629128660126345\n",
            "2.8066918231426277 1.7945564235338\n",
            "2.805627148280797 1.8261848402806857\n",
            "2.804562982843412 1.8577981234978322\n",
            "2.803499326586725 1.8893962804263142\n",
            "2.802436179267103 1.9209793183037416\n",
            "2.8013735406410305 1.952547244364261\n",
            "2.800311410465108 1.984100065838558\n",
            "2.7992497884960534 2.015637789953858\n",
            "60\n",
            "Mean Square Error 1101.49896734184\n",
            "2.7981886744907003 2.0471604239339283\n",
            "2.7971280682059985 2.078667974999081\n",
            "2.7960679693990147 2.1101604503661715\n",
            "2.7950083778269312 2.141637857248604\n",
            "2.793949293247047 2.1731002028563293\n",
            "2.7928907154167772 2.2045474943958503\n",
            "2.791832644093653 2.23597973907022\n",
            "2.7907750790353205 2.2673969440790467\n",
            "2.789718019999544 2.298799116618492\n",
            "2.788661466744201 2.330186263881276\n",
            "2.7876054190272868 2.3615583930566753\n",
            "2.7865498766069123 2.3929155113305285\n",
            "2.7854948392413035 2.424257625885235\n",
            "2.7844403066888024 2.455584743899758\n",
            "2.7833862787078663 2.4868968725496243\n",
            "2.782332755057069 2.5181940190069296\n",
            "2.781279735495098 2.5494761904403362\n",
            "2.7802272197807594 2.580743394015077\n",
            "2.7791752076729708 2.6119956368929564\n",
            "2.778123698930768 2.6432329262323524\n",
            "80\n",
            "Mean Square Error 1081.7874357522278\n",
            "2.777072693313301 2.674455269188217\n",
            "2.7760221905798352 2.7056626729120796\n",
            "2.7749721904897515 2.736855144552047\n",
            "2.7739226928025453 2.7680326912528064\n",
            "2.7728736972778276 2.7991953201556257\n",
            "2.771825203675324 2.8303430383983565\n",
            "2.770777211754876 2.861475853115435\n",
            "2.7697297212764385 2.892593771437884\n",
            "2.768682732000083 2.923696800493313\n",
            "2.7676362436859936 2.9547849474059227\n",
            "2.7665902560944717 2.985858219296504\n",
            "2.7655447689859316 3.016916623282441\n",
            "2.7644997821209025 3.047960166477712\n",
            "2.763455295260029 3.0789888559928915\n",
            "2.762411308164069 3.1100026989351526\n",
            "2.761367820593896 3.1410017024082664\n",
            "2.7603248323104976 3.1719858735126056\n",
            "2.759282343074975 3.202955219345146\n",
            "2.7582403526485453 3.233909746999467\n",
            "2.7571988607925375 3.2648494635657537\n",
            "100\n",
            "Mean Square Error 1062.449667489675\n",
            "2.7561578672683975 3.2957743761307996\n",
            "2.755117371837683 3.3266844917780065\n",
            "2.7540773742620677 3.3575798175873874\n",
            "2.753037874303338 3.3884603606355674\n",
            "2.7519988717233947 3.4193261279957854\n",
            "2.7509603662842523 3.4501771267378962\n",
            "2.7499223577480403 3.4810133639283722\n",
            "2.7488848458770003 3.511834846630304\n",
            "2.7478478304334883 3.542641581903403\n",
            "2.7468113111799757 3.5734335768040024\n",
            "2.7457752878790442 3.6042108383850593\n",
            "2.7447397602933923 3.6349733736961563\n",
            "2.74370472818583 3.6657211897835027\n",
            "2.7426701913192812 3.696454293689936\n",
            "2.741636149456785 3.727172692454925\n",
            "2.7406026023614904 3.7578763931145684\n",
            "2.7395695497966637 3.7885654027016\n",
            "2.738536991525681 3.8192397282453876\n",
            "2.7375049273120338 3.849899376771936\n",
            "2.736473356919326 3.880544355303888\n",
            "120\n",
            "Mean Square Error 1043.4785753816798\n",
            "2.735442280111275 3.9111746708605266\n",
            "2.7344116966517102 3.941790330457776\n",
            "2.7333816063045755 3.972391341108203\n",
            "2.7323520088339266 4.00297770982102\n",
            "2.731322904003933 4.033549443602085\n",
            "2.730294291578876 4.064106549453903\n",
            "2.7292661713231503 4.09464903437563\n",
            "2.7282385430012637 4.125176905363072\n",
            "2.7272114063778354 4.155690169408689\n",
            "2.726184761217599 4.1861888335015935\n",
            "2.7251586072853993 4.216672904627555\n",
            "2.724132944346194 4.2471423897689995\n",
            "2.7231077721650534 4.2775972959050135\n",
            "2.7220830905071605 4.308037630011343\n",
            "2.7210588991378097 4.338463399060397\n",
            "2.720035197822408 4.368874610021248\n",
            "2.719011986326476 4.399271269859632\n",
            "2.717989264415645 4.429653385537956\n",
            "2.7169670318556585 4.4600209640152935\n",
            "2.7159452884123727 4.490374012247387\n",
            "140\n",
            "Mean Square Error 1024.867206640282\n",
            "2.7149240338517555 4.520712537186653\n",
            "2.713903267939887 4.55103654578218\n",
            "2.7128829904429588 4.581346044979733\n",
            "2.711863201127275 4.611641041721752\n",
            "2.7108438997592508 4.6419215429473555\n",
            "2.7098250861054143 4.672187555592343\n",
            "2.7088067599324037 4.702439086589194\n",
            "2.70778892100697 4.732676142867071\n",
            "2.706771569095976 4.762898731351822\n",
            "2.7057547039663947 4.79310685896598\n",
            "2.7047383253853123 4.823300532628767\n",
            "2.703722433119925 4.853479759256093\n",
            "2.7027070269375413 4.88364454576056\n",
            "2.701692106605581 4.913794899051462\n",
            "2.7006776718915746 4.943930826034787\n",
            "2.6996637225631637 4.974052333613218\n",
            "2.6986502583881022 5.004159428686137\n",
            "2.697637279134254 5.034252118149622\n",
            "2.6966247845695954 5.0643304088964545\n",
            "2.6956127744622123 5.094394307816116\n",
            "160\n",
            "Mean Square Error 1006.6087403139129\n",
            "2.6946012485803017 5.124443821794792\n",
            "2.6935902066921726 5.154478957715372\n",
            "2.6925796485662437 5.184499722457455\n",
            "2.6915695739710457 5.214506122897347\n",
            "2.690559982675218 5.244498165908061\n",
            "2.689550874447514 5.274475858359325\n",
            "2.688542249056794 5.3044392071175785\n",
            "2.6875341062720315 5.334388219045977\n",
            "2.68652644586231 5.364322901004389\n",
            "2.6855192675968222 5.394243259849404\n",
            "2.684512571244874 5.424149302434328\n",
            "2.6835063565758777 5.454041035609191\n",
            "2.6825006233593602 5.483918466220743\n",
            "2.6814953713649556 5.513781601112458\n",
            "2.6804906003624094 5.543630447124538\n",
            "2.6794863101215776 5.573465011093908\n",
            "2.678482500412425 5.603285299854225\n",
            "2.6774791710050283 5.6330913202358746\n",
            "2.6764763216695724 5.662883079065976\n",
            "2.675473952176354 5.692660583168379\n",
            "180\n",
            "Mean Square Error 988.6964847875585\n",
            "2.6744720622957776 5.722423839363671\n",
            "2.6734706517983593 5.752172854469174\n",
            "2.6724697204547248 5.78190763529895\n",
            "2.6714692680356076 5.811628188663798\n",
            "2.670469294311854 5.8413345213712615\n",
            "2.669469799054418 5.871026640225623\n",
            "2.6684707820343636 5.900704552027912\n",
            "2.6674722430228632 5.930368263575903\n",
            "2.6664741817912017 5.960017781664118\n",
            "2.6654765981107698 5.989653113083827\n",
            "2.6644794917530703 6.019274264623053\n",
            "2.663482862489714 6.0488812430665675\n",
            "2.6624867100924217 6.078474055195899\n",
            "2.6614910343330225 6.10805270778933\n",
            "2.6604958349834558 6.137617207621899\n",
            "2.6595011118157688 6.167167561465403\n",
            "2.6585068646021193 6.196703776088399\n",
            "2.657513093114773 6.226225858256207\n",
            "2.656519797126105 6.255733814730907\n",
            "2.655526976408599 6.285227652271345\n",
            "200\n",
            "Mean Square Error 971.1238753303202\n",
            "2.654534630734848 6.314707377633134\n",
            "2.653542759877553 6.344172997568653\n",
            "2.6525513636095255 6.37362451882705\n",
            "2.6515604417036838 6.403061948154246\n",
            "2.650569993933056 6.432485292292931\n",
            "2.6495800200707773 6.461894557982571\n",
            "2.648590519890094 6.491289751959407\n",
            "2.647601493164359 6.520670880956456\n",
            "2.6466129396670337 6.550037951703514\n",
            "2.6456248591716887 6.5793909709271565\n",
            "2.6446372514520022 6.608729945350742\n",
            "2.643650116281761 6.63805488169441\n",
            "2.642663453434861 6.667365786675086\n",
            "2.6416772626853047 6.69666266700648\n",
            "2.640691543807203 6.725945529399091\n",
            "2.6397062965747766 6.755214380560207\n",
            "2.6387215207623522 6.784469227193907\n",
            "2.6377372161443655 6.813710076001061\n",
            "2.63675338249536 6.842936933679334\n",
            "2.635770019589987 6.872149806923185\n",
            "220\n",
            "Mean Square Error 953.8844716894828\n",
            "2.634787127203005 6.901348702423871\n",
            "2.6338047051092817 6.9305336268694475\n",
            "2.6328227530837913 6.959704586944769\n",
            "2.631841270901616 6.988861589331492\n",
            "2.630860258337946 7.018004640708076\n",
            "2.6298797151680784 7.047133747749785\n",
            "2.6288996411674184 7.076248917128688\n",
            "2.6279200361114787 7.105350155513664\n",
            "2.6269408997758785 7.134437469570398\n",
            "2.6259622319363456 7.1635108659613875\n",
            "2.624984032368714 7.192570351345942\n",
            "2.624006300848926 7.221615932380184\n",
            "2.6230290371530303 7.250647615717051\n",
            "2.622052241057183 7.2796654080063\n",
            "2.6210759123376475 7.308669315894503\n",
            "2.6201000507707946 7.337659346025052\n",
            "2.6191246561331 7.366635505038162\n",
            "2.61814972820115 7.3955977995708695\n",
            "2.617175266751634 7.424546236257036\n",
            "2.616201271561351 7.453480821727347\n",
            "240\n",
            "Mean Square Error 936.9719557302046\n",
            "2.615227742407206 7.482401562609319\n",
            "2.6142546790662093 7.5113084655272955\n",
            "2.6132820813154805 7.5402015371024484\n",
            "2.612309948932244 7.569080783952784\n",
            "2.6113382816938304 7.597946212693141\n",
            "2.6103670793776796 7.626797829935193\n",
            "2.6093963417613346 7.655635642287452\n",
            "2.6084260686224465 7.684459656355265\n",
            "2.6074562597387736 7.71326987874082\n",
            "2.6064869148881784 7.742066316043146\n",
            "2.6055180338486315 7.770848974858114\n",
            "2.604549616398209 7.79961786177844\n",
            "2.603581662315093 7.828372983393685\n",
            "2.602614171377573 7.857114346290255\n",
            "2.6016471433640422 7.885841957051409\n",
            "2.6006805780530025 7.914555822257252\n",
            "2.5997144752230597 7.943255948484741\n",
            "2.598748834652927 7.971942342307689\n",
            "2.597783656121422 8.000615010296762\n",
            "2.5968189394074694 8.02927395901948\n",
            "260\n",
            "Mean Square Error 920.3801291199575\n",
            "2.5958546842901 8.057919195040224\n",
            "2.5948908905484482 8.086550724920231\n",
            "2.5939275579617562 8.1151685552176\n",
            "2.5929646863093714 8.143772692487294\n",
            "2.5920022753707457 8.172363143281137\n",
            "2.5910403249254377 8.200939914147817\n",
            "2.5900788347531116 8.229503011632891\n",
            "2.5891178046335352 8.258052442278785\n",
            "2.588157234346584 8.286588212624793\n",
            "2.587197123672238 8.315110329207076\n",
            "2.5862374723905814 8.343618798558678\n",
            "2.5852782802818046 8.372113627209506\n",
            "2.5843195471262037 8.400594821686349\n",
            "2.583361272704179 8.429062388512872\n",
            "2.5824034567962357 8.457516334209616\n",
            "2.5814460991829855 8.485956665294008\n",
            "2.5804891996451427 8.514383388280349\n",
            "2.579532757963529 8.542796509679828\n",
            "2.57857677391907 8.571196036000517\n",
            "2.577621247292795 8.599581973747373\n",
            "280\n",
            "Mean Square Error 904.1029110568766\n",
            "2.5766661778658397 8.627954329422243\n",
            "2.575711565419444 8.656313109523863\n",
            "2.5747574097349517 8.684658320547856\n",
            "2.573803710593812 8.71298996898674\n",
            "2.572850467777579 8.741308061329926\n",
            "2.5718976810679113 8.76961260406372\n",
            "2.57094535024657 8.797903603671323\n",
            "2.5699934750954236 8.826181066632834\n",
            "2.5690420553964426 8.854444999425256\n",
            "2.5680910909317034 8.882695408522487\n",
            "2.5671405814833856 8.910932300395329\n",
            "2.5661905268337737 8.939155681511489\n",
            "2.5652409267652563 8.96736555833558\n",
            "2.564291781060325 8.99556193732912\n",
            "2.563343089501578 9.023744824950535\n",
            "2.5623948518717143 9.051914227655162\n",
            "2.5614470679535395 9.080070151895251\n",
            "2.5604997375299616 9.108212604119961\n",
            "2.5595528603839934 9.136341590775366\n",
            "2.5586064362987515 9.164457118304458\n",
            "300\n",
            "Mean Square Error 888.1343360411846\n",
            "2.557660465057455 9.192559193147146\n",
            "2.556714946443428 9.220647821740254\n",
            "2.5557698802400983 9.24872301051753\n",
            "2.5548252662309965 9.276784765909643\n",
            "2.553881104199757 9.304833094344183\n",
            "2.5529373939301183 9.332868002245664\n",
            "2.551994135205922 9.360889496035531\n",
            "2.551051327811113 9.388897582132152\n",
            "2.5501089715297405 9.416892266950825\n",
            "2.5491670661459547 9.44487355690378\n",
            "2.548225611444012 9.472841458400175\n",
            "2.5472846072082693 9.500795977846106\n",
            "2.54634405322319 9.5287371216446\n",
            "2.5454039492733362 9.556664896195622\n",
            "2.5444642951433782 9.584579307896076\n",
            "2.543525090618084 9.612480363139804\n",
            "2.54258633548233 9.640368068317587\n",
            "2.5416480295210904 9.66824242981715\n",
            "2.5407101725194456 9.696103454023163\n",
            "2.5397727642625787 9.723951147317237\n",
            "320\n",
            "Mean Square Error 872.4685516888724\n",
            "2.5388358045357733 9.751785516077934\n",
            "2.5378992931244184 9.779606566680762\n",
            "2.5369632298140044 9.807414305498177\n",
            "2.5360276143901235 9.835208738899588\n",
            "2.5350924466384726 9.862989873251356\n",
            "2.534157726344849 9.890757714916795\n",
            "2.5332234532951547 9.918512270256175\n",
            "2.532289627275392 9.946253545626721\n",
            "2.5313562480716665 9.97398154738262\n",
            "2.5304233154701867 10.001696281875015\n",
            "2.5294908292572624 10.029397755452012\n",
            "2.528558789219306 10.05708597445868\n",
            "2.527627195142833 10.08476094523705\n",
            "2.5266960468144593 10.11242267412612\n",
            "2.5257653440209045 10.140071167461855\n",
            "2.524835086548989 10.167706431577185\n",
            "2.5239052741856365 10.195328472802016\n",
            "2.5229759067178708 10.222937297463222\n",
            "2.5220469839328206 10.250532911884648\n",
            "2.5211185056177126 10.278115322387114\n",
            "340\n",
            "Mean Square Error 857.099816586838\n",
            "2.5201904715598786 10.30568453528842\n",
            "2.5192628815467506 10.333240556903336\n",
            "2.5183357353658624 10.360783393543617\n",
            "2.5174090328048497 10.388313051517994\n",
            "2.5164827736514503 10.41582953713218\n",
            "2.5155569576935015 10.443332856688869\n",
            "2.5146315847189458 10.470823016487746\n",
            "2.513706654515823 10.498300022825473\n",
            "2.5127821668722774 10.525763881995708\n",
            "2.5118581215765534 10.55321460028909\n",
            "2.510934518416997 10.580652183993251\n",
            "2.510011357182055 10.608076639392817\n",
            "2.509088637660276 10.635487972769402\n",
            "2.5081663596403097 10.662886190401618\n",
            "2.507244522910907 10.690271298565072\n",
            "2.506323127260919 10.71764330353237\n",
            "2.505402172479299 10.745002211573112\n",
            "2.504481658355101 10.772348028953902\n",
            "2.503561584677479 10.799680761938344\n",
            "2.502641951235689 10.827000416787046\n",
            "360\n",
            "Mean Square Error 842.0224981886905\n",
            "2.5017227578190875 10.854306999757618\n",
            "2.500804004217132 10.88160051710468\n",
            "2.4998856902193802 10.908880975079857\n",
            "2.49896781561549 10.936148379931781\n",
            "2.4980503801952225 10.963402737906097\n",
            "2.4971333837484364 10.990644055245461\n",
            "2.496216826065092 11.017872338189541\n",
            "2.4953007069352506 11.045087592975019\n",
            "2.494385026149074 11.072289825835595\n",
            "2.493469783496823 11.099479043001987\n",
            "2.4925549787688603 11.126655250701926\n",
            "2.491640611755649 11.15381845516017\n",
            "2.490726682247751 11.180968662598495\n",
            "2.48981319003583 11.2081058792357\n",
            "2.488900134910648 11.235230111287608\n",
            "2.487987516663069 11.262341364967071\n",
            "2.4870753350840564 11.289439646483967\n",
            "2.486163589964673 11.316524962045198\n",
            "2.485252281096083 11.343597317854705\n",
            "2.484341408269548 11.370656720113454\n",
            "380\n",
            "Mean Square Error 827.2310707504628\n",
            "2.4834309712764324 11.397703175019442\n",
            "2.4825209699081987 11.424736688767709\n",
            "2.4816114039564092 11.451757267550322\n",
            "2.4807022732127275 11.478764917556392\n",
            "2.4797935774689144 11.505759644972064\n",
            "2.4788853165168323 11.532741455980526\n",
            "2.477977490148443 11.559710356762004\n",
            "2.477070098155806 11.58666635349377\n",
            "2.476163140331083 11.61360945235014\n",
            "2.475256616466533 11.640539659502474\n",
            "2.4743505263545154 11.667456981119182\n",
            "2.4734448697874893 11.69436142336572\n",
            "2.4725396465580114 11.721252992404594\n",
            "2.4716348564587407 11.748131694395363\n",
            "2.4707304992824315 11.774997535494638\n",
            "2.4698265748219406 11.801850521856082\n",
            "2.468923082870222 11.828690659630418\n",
            "2.46802002322033 11.855517954965423\n",
            "2.467117395665417 11.882332414005933\n",
            "2.466215199998734 11.909134042893845\n",
            "400\n",
            "Mean Square Error 812.7201133054518\n",
            "2.465313436013633 11.935922847768115\n",
            "2.464412103503562 11.962698834764762\n",
            "2.46351120226207 11.98946201001687\n",
            "2.4626107320828043 12.016212379654592\n",
            "2.4617106927595107 12.04294994980514\n",
            "2.4608110840860333 12.0696747265928\n",
            "2.4599119058563153 12.096386716138925\n",
            "2.459013157864399 12.123085924561941\n",
            "2.458114839904424 12.149772357977346\n",
            "2.4572169517706293 12.17644602249771\n",
            "2.4563194932573524 12.203106924232683\n",
            "2.455422464159029 12.229755069288986\n",
            "2.4545258642701926 12.256390463770419\n",
            "2.453629693385476 12.283013113777866\n",
            "2.4527339512996096 12.309623025409287\n",
            "2.4518386378074224 12.336220204759726\n",
            "2.4509437527038407 12.362804657921311\n",
            "2.4500492957838906 12.389376390983255\n",
            "2.4491552668426944 12.415935410031857\n",
            "2.4482616656754734 12.442481721150504\n",
            "420\n",
            "Mean Square Error 798.4843076774781\n",
            "2.4473684920775476 12.469015330419671\n",
            "2.4464757458443334 12.495536243916927\n",
            "2.445583426771346 12.52204446771693\n",
            "2.444691534654198 12.54854000789143\n",
            "2.4438000692886 12.575022870509278\n",
            "2.4429090304703616 12.601493061636415\n",
            "2.442018417995387 12.627950587335881\n",
            "2.4411282316596816 12.654395453667819\n",
            "2.4402384712593457 12.680827666689465\n",
            "2.4393491365905784 12.707247232455163\n",
            "2.4384602274496765 12.733654157016359\n",
            "2.4375717436330335 12.760048446421601\n",
            "2.436683684937141 12.786430106716544\n",
            "2.435796051158588 12.812799143943952\n",
            "2.43490884209406 12.839155564143695\n",
            "2.4340220575403397 12.865499373352757\n",
            "2.433135697294309 12.891830577605228\n",
            "2.4322497611529452 12.918149182932314\n",
            "2.4313642489133223 12.944455195362336\n",
            "2.4304791603726135 12.970748620920729\n",
            "440\n",
            "Mean Square Error 784.5184365317996\n",
            "2.4295944953280872 12.997029465630044\n",
            "2.4287102535771092 13.023297735509955\n",
            "2.4278264349171432 13.049553436577249\n",
            "2.426943039145748 13.075796574845839\n",
            "2.4260600660605816 13.10202715632676\n",
            "2.4251775154593966 13.128245187028167\n",
            "2.4242953871400434 13.154450672955345\n",
            "2.42341368090047 13.180643620110704\n",
            "2.422532396538719 13.206824034493781\n",
            "2.421651533852931 13.232991922101244\n",
            "2.4207710926413437 13.259147288926888\n",
            "2.4198910727022898 13.285290140961646\n",
            "2.4190114738341997 13.31142048419358\n",
            "2.4181322958355995 13.337538324607886\n",
            "2.4172535385051126 13.363643668186901\n",
            "2.4163752016414572 13.389736520910096\n",
            "2.4154972850434495 13.415816888754083\n",
            "2.414619788510002 13.44188477769261\n",
            "2.413742711840121 13.467940193696574\n",
            "2.4128660548329117 13.493983142734008\n",
            "460\n",
            "Mean Square Error 770.8173814629914\n",
            "2.4119898172875742 13.520013630770093\n",
            "2.4111139990034047 13.546031663767154\n",
            "2.410238599779796 13.572037247684666\n",
            "2.409363619416236 13.59803038847925\n",
            "2.408489057712309 13.624011092104677\n",
            "2.4076149144676955 13.649979364511871\n",
            "2.4067411894821715 13.675935211648907\n",
            "2.405867882555609 13.701878639461015\n",
            "2.404994993487975 13.72780965389058\n",
            "2.404122522079333 13.753728260877143\n",
            "2.4032504681298428 13.779634466357402\n",
            "2.402378831439758 13.80552827626522\n",
            "2.4015076118094294 13.831409696531612\n",
            "2.4006368090393027 13.857278733084762\n",
            "2.3997664229299187 13.883135391850017\n",
            "2.398896453281914 13.908979678749885\n",
            "2.398026899896021 13.934811599704043\n",
            "2.397157762573067 13.960631160629335\n",
            "2.396289041113975 13.986438367439774\n",
            "2.3954207353197616 14.012233226046543\n",
            "480\n",
            "Mean Square Error 757.3761211190861\n",
            "2.394552844991541 14.038015742357997\n",
            "2.393685369930522 14.063785922279664\n",
            "2.392818309938007 14.089543771714245\n",
            "2.3919516648153945 14.115289296561619\n",
            "2.3910854343641788 14.14102250271884\n",
            "2.390219618385948 14.166743396080141\n",
            "2.389354216682385 14.192451982536936\n",
            "2.3884892290552684 14.218148267977817\n",
            "2.3876246553064724 14.243832258288563\n",
            "2.3867604952379633 14.269503959352134\n",
            "2.385896748651805 14.295163377048674\n",
            "2.3850334153501547 14.320810517255515\n",
            "2.3841704951352636 14.346445385847177\n",
            "2.38330798780948 14.372067988695369\n",
            "2.3824458931752432 14.39767833166899\n",
            "2.3815842110350913 14.423276420634132\n",
            "2.3807229411916526 14.448862261454076\n",
            "2.379862083447653 14.474435859989306\n",
            "2.379001637605911 14.499997222097493\n",
            "2.3781416034693406 14.52554635363351\n",
            "500\n",
            "Mean Square Error 744.189729361275\n",
            "2.377281980840949 14.55108326044943\n",
            "2.3764227695238382 14.57660794839452\n",
            "2.3755639693212056 14.602120423315252\n",
            "2.37470558003634 14.627620691055304\n",
            "2.373847601472627 14.65310875745555\n",
            "2.3729900334335445 14.678584628354077\n",
            "2.372132875722666 14.704048309586172\n",
            "2.371276128143657 14.729499806984336\n",
            "2.370419790500279 14.754939126378273\n",
            "2.369563862596386 14.780366273594904\n",
            "2.3687083442359267 14.805781254458358\n",
            "2.3678532352229427 14.831184074789977\n",
            "2.3669985353615703 14.85657474040832\n",
            "2.3661442444560388 14.88195325712916\n",
            "2.365290362310671 14.907319630765489\n",
            "2.3644368887298852 14.932673867127516\n",
            "2.3635838235181903 14.95801597202267\n",
            "2.3627311664801915 14.983345951255602\n",
            "2.361878917420586 15.008663810628187\n",
            "2.361027076144164 15.033969555939521\n",
            "520\n",
            "Mean Square Error 731.2533734585126\n",
            "2.3601756424558107 15.059263192985926\n",
            "2.359324616160504 15.084544727560951\n",
            "2.3584739970633137 15.109814165455374\n",
            "2.3576237849694053 15.135071512457202\n",
            "2.3567739796840357 15.16031677435167\n",
            "2.355924581012556 15.18554995692125\n",
            "2.3550755887604096 15.21077106594564\n",
            "2.354227002733134 15.235980107201778\n",
            "2.353378822736359 15.261177086463837\n",
            "2.352531048575807 15.286362009503225\n",
            "2.351683680057294 15.311534882088592\n",
            "2.35083671698673 15.336695709985825\n",
            "2.3499901591701153 15.361844498958053\n",
            "2.3491440064135456 15.386981254765647\n",
            "2.3482982585232075 15.412105983166224\n",
            "2.347452915305381 15.437218689914642\n",
            "2.3466079765664394 15.46231938076301\n",
            "2.3457634421128475 15.48740806146068\n",
            "2.3449193117511635 15.512484737754258\n",
            "2.344075585288038 15.537549415387597\n",
            "540\n",
            "Mean Square Error 718.5623123163442\n",
            "2.3432322625302144 15.562602100101802\n",
            "2.3423893432845277 15.587642797635233\n",
            "2.3415468273579063 15.612671513723502\n",
            "2.34070471455737 15.637688254099478\n",
            "2.3398630046900317 15.662693024493286\n",
            "2.339021697563097 15.68768583063231\n",
            "2.338180792983862 15.712666678241193\n",
            "2.3373402907597174 15.73763557304184\n",
            "2.3365001906981435 15.762592520753417\n",
            "2.335660492606715 15.787537527092354\n",
            "2.3348211962930967 15.812470597772347\n",
            "2.3339823015650474 15.837391738504353\n",
            "2.3331438082304166 15.862300954996604\n",
            "2.3323057160971454 15.887198252954596\n",
            "2.331468024973268 15.912083638081095\n",
            "2.33063073466691 15.93695711607614\n",
            "2.329793844986288 15.961818692637044\n",
            "2.3289573557397123 15.98666837345839\n",
            "2.328121266735582 16.01150616423204\n",
            "2.3272855777823906 16.036332070647127\n",
            "560\n",
            "Mean Square Error 706.111894739332\n",
            "2.326450288688722 16.06114609839007\n",
            "2.325615399263252 16.085948253144558\n",
            "2.3247809093147476 16.11073854059157\n",
            "2.323946818652067 16.13551696640936\n",
            "2.3231131270841616 16.160283536273468\n",
            "2.3222798344200717 16.185038255856718\n",
            "2.321446940468931 16.209781130829217\n",
            "2.3206144450399635 16.234512166858362\n",
            "2.319782347942485 16.259231369608838\n",
            "2.318950648985902 16.28393874474262\n",
            "2.3181193479797124 16.30863429791897\n",
            "2.317288444733506 16.33331803479445\n",
            "2.316457939056962 16.357989961022906\n",
            "2.315627830759853 16.382650082255484\n",
            "2.31479811965204 16.40729840414063\n",
            "2.3139688055434773 16.431934932324076\n",
            "2.3131398882442085 16.45655967244886\n",
            "2.3123113675643694 16.481172630155324\n",
            "2.311483243314185 16.505773811081106\n",
            "2.310655515303973 16.530363220861144\n",
            "580\n",
            "Mean Square Error 693.8975577264142\n",
            "2.3098281833441408 16.554940865127683\n",
            "2.309001247245186 16.579506749510273\n",
            "2.308174706817698 16.60406087963577\n",
            "2.3073485618723564 16.62860326112834\n",
            "2.3065228122199315 16.653133899609454\n",
            "2.3056974576712834 16.677652800697896\n",
            "2.304872498037364 16.70215997000976\n",
            "2.304047933129214 16.72665541315845\n",
            "2.3032237627579666 16.751139135754695\n",
            "2.3023999867348435 16.775611143406525\n",
            "2.3015766048711574 16.800071441719297\n",
            "2.300753616978312 16.82452003629568\n",
            "2.2999310228677996 16.84895693273567\n",
            "2.299108822351204 16.873382136636575\n",
            "2.2982870152401995 16.89779565359303\n",
            "2.297465601346549 16.922197489196986\n",
            "2.296644580482107 16.946587649037728\n",
            "2.295823952458816 16.97096613870186\n",
            "2.295003717088712 16.99533296377332\n",
            "2.2941838741839167 17.019688129833362\n",
            "600\n",
            "Mean Square Error 681.9148247985988\n",
            "2.2933644235566444 17.04403164246058\n",
            "2.292545365019199 17.0683635072309\n",
            "2.2917266983839735 17.09268372971757\n",
            "2.290908423463451 17.11699231549118\n",
            "2.290090540070204 17.14128927011965\n",
            "2.289273048016895 17.165574599168238\n",
            "2.2884559471162764 17.189848308199537\n",
            "2.28763923718119 17.214110402773482\n",
            "2.286822918024567 17.238360888447346\n",
            "2.2860069894594277 17.26259977077574\n",
            "2.2851914512988825 17.28682705531062\n",
            "2.2843763033561317 17.31104274760129\n",
            "2.283561545444463 17.33524685319439\n",
            "2.282747177377256 17.35943937763391\n",
            "2.2819331989679776 17.38362032646119\n",
            "2.2811196100301854 17.407789705214917\n",
            "2.280306410377525 17.431947519431123\n",
            "2.2794935998237316 17.456093774643197\n",
            "2.2786811781826297 17.48022847638188\n",
            "2.2778691452681334 17.50435163017526\n",
            "620\n",
            "Mean Square Error 670.1593043583572\n",
            "2.277057500894244 17.528463241548792\n",
            "2.2762462448750544 17.552563316025275\n",
            "2.275435377024744 17.576651859124873\n",
            "2.2746248971575826 17.600728876365103\n",
            "2.2738148050879285 17.62479437326085\n",
            "2.273005100630229 17.648848355324354\n",
            "2.2721957835990194 17.67289082806522\n",
            "2.2713868538089246 17.696921796990413\n",
            "2.270578311074658 17.720941267604267\n",
            "2.2697701552110217 17.744949245408485\n",
            "2.2689623860329053 17.76894573590213\n",
            "2.2681550033552895 17.79293074458164\n",
            "2.2673480069932404 17.816904276940818\n",
            "2.266541396761915 17.840866338470843\n",
            "2.265735172476558 17.86481693466026\n",
            "2.2649293339525025 17.888756070995\n",
            "2.264123881005169 17.91268375295836\n",
            "2.263318813450068 17.93659998603101\n",
            "2.262514131102797 17.960504775691003\n",
            "2.2617098337790424 17.984398127413776\n",
            "640\n",
            "Mean Square Error 658.6266880801319\n",
            "2.2609059212945786 18.008280046672137\n",
            "2.260102393465268 18.03215053893628\n",
            "2.2592992501070617 18.056009609673776\n",
            "2.2584964910359977 18.079857264349588\n",
            "2.257694116068203 18.103693508426062\n",
            "2.256892125019892 18.127518347362926\n",
            "2.256090517707368 18.151331786617302\n",
            "2.255289293947021 18.175133831643695\n",
            "2.2544884535553296 18.198924487894\n",
            "2.2536879963488596 18.222703760817513\n",
            "2.2528879221442657 18.24647165586091\n",
            "2.252088230758289 18.270228178468265\n",
            "2.251288922007759 18.293973334081056\n",
            "2.250489995709593 18.317707128138142\n",
            "2.2496914516807953 18.341429566075792\n",
            "2.248893289738458 18.365140653327668\n",
            "2.2480955096997612 18.388840395324834\n",
            "2.2472981113819714 18.412528797495757\n",
            "2.246501094602444 18.4362058652663\n",
            "2.2457044591786204 18.459871604059735\n",
            "660\n",
            "Mean Square Error 647.3127493313643\n",
            "2.2449082049280302 18.483526019296743\n",
            "2.24411233166829 18.507169116395403\n",
            "2.243316839217104 18.530800900771204\n",
            "2.242521727392263 18.55442137783705\n",
            "2.241726996011645 18.578030553003245\n",
            "2.240932644893216 18.60162843167751\n",
            "2.240138673855029 18.62521501926498\n",
            "2.239345082715223 18.648790321168203\n",
            "2.238551871292024 18.672354342787138\n",
            "2.237759039403747 18.695907089519164\n",
            "2.2369665868687916 18.719448566759077\n",
            "2.2361745135056457 18.74297877989909\n",
            "2.2353828191328833 18.766497734328837\n",
            "2.2345915035691655 18.790005435435372\n",
            "2.233800566633241 18.813501888603174\n",
            "2.233010008143943 18.836987099214145\n",
            "2.2322198279201935 18.86046107264761\n",
            "2.231430025781001 18.883923814280323\n",
            "2.2306406015454585 18.90737532948646\n",
            "2.2298515550327487 18.93081562363763\n",
            "680\n",
            "Mean Square Error 636.2133416234575\n",
            "2.2290628860621386 18.954244702102876\n",
            "2.2282745944529814 18.97766257024866\n",
            "2.227486680024719 19.00106923343889\n",
            "2.2266991425968774 19.024464697034894\n",
            "2.2259119819890705 19.047848966395446\n",
            "2.225125198020997 19.07122204687675\n",
            "2.224338790512444 19.094583943832447\n",
            "2.223552759283282 19.11793466261362\n",
            "2.2227671041534705 19.141274208568788\n",
            "2.2219818249430534 19.164602587043913\n",
            "2.2211969214721616 19.1879198033824\n",
            "2.220412393561011 19.211225862925094\n",
            "2.219628241029904 19.234520771010285\n",
            "2.218844463699231 19.25780453297371\n",
            "2.2180610613894642 19.28107715414856\n",
            "2.2172780339211653 19.304338639865456\n",
            "2.2164953811149806 19.327588995452487\n",
            "2.2157131027916415 19.350828226235183\n",
            "2.214931198771967 19.37405633753653\n",
            "2.2141496688768587 19.397273334676964\n",
            "700\n",
            "Mean Square Error 625.3243970921151\n",
            "2.213368512927308 19.420479222974375\n",
            "2.212587730744389 19.44367400774411\n",
            "2.2118073221492622 19.466857694298977\n",
            "2.2110272869631733 19.49003028794923\n",
            "2.2102476250074554 19.513191794002598\n",
            "2.2094683361035234 19.536342217764254\n",
            "2.2086894200728824 19.559481564536846\n",
            "2.2079108767371185 19.582609839620478\n",
            "2.207132705917906 19.60572704831272\n",
            "2.206354907437003 19.628833195908605\n",
            "2.2055774811162543 19.651928287700635\n",
            "2.204800426777588 19.675012328978777\n",
            "2.20402374424302 19.698085325030473\n",
            "2.2032474333346483 19.721147281140627\n",
            "2.202471493874659 19.74419820259162\n",
            "2.201695925685321 19.767238094663302\n",
            "2.200920728588989 19.790266962632998\n",
            "2.200145902408104 19.81328481177551\n",
            "2.1993714469651895 19.83629164736311\n",
            "2.1985973620828556 19.85928747466556\n",
            "720\n",
            "Mean Square Error 614.6419250064927\n",
            "2.1978236475837973 19.882272298950085\n",
            "2.1970503032907938 19.905246125481398\n",
            "2.196277329026709 19.92820895952169\n",
            "2.195504724614492 19.95116080633064\n",
            "2.1947324898771767 19.974101671165403\n",
            "2.1939606246378816 19.997031559280625\n",
            "2.1931891287198093 20.019950475928432\n",
            "2.1924180019462476 20.04285842635844\n",
            "2.1916472441405683 20.06575541581775\n",
            "2.1908768551262288 20.088641449550963\n",
            "2.1901068347267696 20.111516532800156\n",
            "2.1893371827658163 20.134380670804905\n",
            "2.1885678990670794 20.15723386880228\n",
            "2.1877989834543525 20.180076132026844\n",
            "2.187030435751515 20.202907465710656\n",
            "2.186262255782528 20.225727875083265\n",
            "2.1854944433714416 20.248537365371728\n",
            "2.1847269983423843 20.271335941800597\n",
            "2.183959920519573 20.29412360959192\n",
            "2.183193209727307 20.316900373965254\n",
            "740\n",
            "Mean Square Error 604.1620103066201\n",
            "2.18242686578997 20.33966624013765\n",
            "2.1816608885320288 20.362421213323668\n",
            "2.1808952777780366 20.385165298735373\n",
            "2.180130033352628 20.407898501582334\n",
            "2.1793651550805224 20.430620827071632\n",
            "2.178600642786524 20.45333228040785\n",
            "2.1778364962955186 20.476032866793084\n",
            "2.177072715432479 20.49872259142694\n",
            "2.1763093000224583 20.52140145950654\n",
            "2.175546249890596 20.54406947622651\n",
            "2.1747835648621137 20.566726646779003\n",
            "2.1740212447623173 20.589372976353676\n",
            "2.173259289416596 20.612008470137713\n",
            "2.1724976986504227 20.63463313331581\n",
            "2.1717364722893544 20.65724697107018\n",
            "2.17097561015903 20.67984998858056\n",
            "2.1702151120851734 20.70244219102421\n",
            "2.1694549778935905 20.72502358357591\n",
            "2.1686952074101726 20.747594171407968\n",
            "2.167935800460892 20.770153959690212\n",
            "760\n",
            "Mean Square Error 593.8808121685593\n",
            "2.1671767568718057 20.79270295359\n",
            "2.1664180764690535 20.81524115827221\n",
            "2.165659759078858 20.837768578899265\n",
            "2.164901804527526 20.860285220631102\n",
            "2.164144212641446 20.882791088625197\n",
            "2.163386983247091 20.905286188036552\n",
            "2.1626301161710164 20.92777052401771\n",
            "2.16187361123986 20.950244101718745\n",
            "2.1611174682803433 20.972706926287266\n",
            "2.1603616871192703 20.99515900286842\n",
            "2.1596062675835292 21.017600336604893\n",
            "2.1588512095000882 21.040030932636906\n",
            "2.1580965126960017 21.06245079610223\n",
            "2.157342176998404 21.084859932136165\n",
            "2.1565882022345133 21.107258345871564\n",
            "2.155834588231631 21.12964604243882\n",
            "2.1550813348171403 21.152023026965875\n",
            "2.154328441818507 21.17438930457821\n",
            "2.1535759090632807 21.196744880398857\n",
            "2.152823736379091 21.2190897595484\n",
            "780\n",
            "Mean Square Error 583.7945625967609\n",
            "2.152071923593653 21.241423947144966\n",
            "2.151320470534762 21.263747448304244\n",
            "2.1505693770302963 21.286060268139465\n",
            "2.149818642908217 21.30836241176142\n",
            "2.1490682679965674 21.330653884278444\n",
            "2.1483182521234725 21.35293469079644\n",
            "2.14756859511714 21.375204836418867\n",
            "2.14681929680586 21.397464326246734\n",
            "2.1460703570180044 21.419713165378617\n",
            "2.1453217755820266 21.441951358910647\n",
            "2.144573552326464 21.464178911936518\n",
            "2.143825687079934 21.48639582954749\n",
            "2.143078179671137 21.50860211683238\n",
            "2.1423310299288554 21.53079777887758\n",
            "2.141584237681953 21.552982820767042\n",
            "2.140837802759376 21.575157247582283\n",
            "2.1400917249901528 21.597321064402394\n",
            "2.1393460042033916 21.619474276304032\n",
            "2.1386006402282858 21.64161688836143\n",
            "2.1378556328941065 21.66374890564639\n",
            "800\n",
            "Mean Square Error 573.8995650431211\n",
            "2.13711098203021 21.685870333228284\n",
            "2.1363666874660323 21.707981176174062\n",
            "2.1356227490310915 21.73008143954825\n",
            "2.1348791665549873 21.75217112841295\n",
            "2.134135939867401 21.77425024782784\n",
            "2.133393068798095 21.796318802850177\n",
            "2.132650553176914 21.818376798534803\n",
            "2.131908392833783 21.840424239934137\n",
            "2.131166587598709 21.862461132098183\n",
            "2.1304251373017813 21.884487480074526\n",
            "2.129684041773168 21.906503288908336\n",
            "2.128943300843121 21.92850856364237\n",
            "2.128202914341972 21.95050330931698\n",
            "2.1274628821001342 21.97248753097009\n",
            "2.126723203948102 21.99446123363722\n",
            "2.125983879716451 22.01642442235149\n",
            "2.125244909235838 22.038377102143606\n",
            "2.124506292337 22.06031927804186\n",
            "2.123768028850756 22.082250955072144\n",
            "2.1230301186080056 22.104172138257947\n",
            "820\n",
            "Mean Square Error 564.1921930522168\n",
            "2.1222925614397288 22.126082832620348\n",
            "2.121555357176988 22.14798304317803\n",
            "2.1208185056509237 22.169872774947272\n",
            "2.12008200669276 22.191752032941956\n",
            "2.1193458601338007 22.21362082217356\n",
            "2.1186100658054294 22.235479147651166\n",
            "2.117874623539112 22.25732701438146\n",
            "2.117139533166393 22.27916442736873\n",
            "2.1164047945189006 22.300991391614872\n",
            "2.11567040742834 22.322807912119387\n",
            "2.1149363717265004 22.34461399387939\n",
            "2.1142026872452475 22.366409641889593\n",
            "2.1134693538165314 22.388194861142328\n",
            "2.1127363712723803 22.409969656627535\n",
            "2.1120037394449036 22.431734033332766\n",
            "2.11127145816629 22.45348799624319\n",
            "2.1105395272688106 22.475231550341586\n",
            "2.1098079465848136 22.496964700608352\n",
            "2.109076715946731 22.518687452021503\n",
            "2.1083458351870723 22.540399809556668\n",
            "840\n",
            "Mean Square Error 554.6688889322346\n",
            "2.107615304138428 22.5621017781871\n",
            "2.1068851226334693 22.583793362883668\n",
            "2.106155290504946 22.605474568614866\n",
            "2.10542580758569 22.627145400346812\n",
            "2.1046966737086117 22.648805863043247\n",
            "2.1039678887067015 22.67045596166553\n",
            "2.1032394524130296 22.692095701172658\n",
            "2.1025113646607476 22.713725086521244\n",
            "2.1017836252830846 22.735344122665534\n",
            "2.101056234113352 22.75695281455741\n",
            "2.100329190984938 22.77855116714637\n",
            "2.0996024957313137 22.80013918537956\n",
            "2.0988761481860276 22.821716874201744\n",
            "2.098150148182709 22.84328423855533\n",
            "2.097424495555066 22.86484128338036\n",
            "2.0966991901368868 22.88638801361451\n",
            "2.0959742317620393 22.907924434193095\n",
            "2.09524962026447 22.929450550049065\n",
            "2.0945253554782055 22.95096636611301\n",
            "2.0938014372373526 22.97247188731317\n",
            "860\n",
            "Mean Square Error 545.3261624510975\n",
            "2.0930778653760957 22.993967118575416\n",
            "2.0923546397287 23.015452064823265\n",
            "2.0916317601295096 23.036926730977882\n",
            "2.090909226412947 23.058391121958074\n",
            "2.0901870384135153 23.079845242680292\n",
            "2.0894651959657957 23.10128909805864\n",
            "2.08874369890445 23.122722693004867\n",
            "2.0880225470642166 23.144146032428377\n",
            "2.0873017402799157 23.165559121236218\n",
            "2.086581278386445 23.186961964333094\n",
            "2.085861161218781 23.20835456662136\n",
            "2.08514138861198 23.22973693300103\n",
            "2.0844219604011776 23.251109068369765\n",
            "2.0837028764215866 23.27247097762289\n",
            "2.0829841365085 23.29382266565339\n",
            "2.0822657404972893 23.3151641373519\n",
            "2.0815476882234045 23.33649539760672\n",
            "2.080829979522375 23.35781645130381\n",
            "2.080112614229808 23.37912730332679\n",
            "2.0793955921813896 23.40042795855695\n",
            "880\n",
            "Mean Square Error 536.160589557318\n",
            "2.078678913212886 23.421718421873237\n",
            "2.0779625771601387 23.44299869815227\n",
            "2.0772465838590715 23.464268792268328\n",
            "2.076530933145684 23.485528709093362\n",
            "2.0758156248560553 23.50677845349699\n",
            "2.0751006588263436 23.528018030346505\n",
            "2.074386034892784 23.54924744450686\n",
            "2.073671752891691 23.570466700840694\n",
            "2.0729578126594568 23.591675804208307\n",
            "2.0722442140325525 23.612874759467683\n",
            "2.0715309568475275 23.634063571474478\n",
            "2.0708180409410084 23.65524224508202\n",
            "2.070105466149701 23.676410785141325\n",
            "2.0693932323103885 23.697569196501075\n",
            "2.0686813392599337 23.718717484007644\n",
            "2.067969786835275 23.73985565250508\n",
            "2.0672585748734305 23.760983706835116\n",
            "2.0665477032114965 23.782101651837166\n",
            "2.065837171686646 23.803209492348333\n",
            "2.065126980136131 23.8243072332034\n",
            "900\n",
            "Mean Square Error 527.1688111250994\n",
            "2.064417128397281 23.84539487923484\n",
            "2.0637076163075023 23.86647243527281\n",
            "2.0629984437042816 23.887539906145168\n",
            "2.062289610425181 23.908597296677446\n",
            "2.06158111630784 23.929644611692872\n",
            "2.0608729611899794 23.950681856012373\n",
            "2.060165144909392 23.971709034454562\n",
            "2.059457667303954 23.99272615183575\n",
            "2.0587505282116147 24.01373321296994\n",
            "2.058043727470404 24.034730222668834\n",
            "2.057337264918427 24.055717185741834\n",
            "2.056631140393868 24.076694106996037\n",
            "2.0559253537349877 24.097660991236243\n",
            "2.0552199047801247 24.11861784326495\n",
            "2.0545147933676944 24.139564667882357\n",
            "2.05381001933619 24.160501469886373\n",
            "2.053105582524182 24.181428254072603\n",
            "2.052401482770318 24.202345025234365\n",
            "2.0516977199133226 24.223251788162678\n",
            "2.050994293791998 24.24414854764627\n",
            "920\n",
            "Mean Square Error 518.3475317232447\n",
            "2.050291204245223 24.265035308471578\n",
            "2.0495884511119544 24.28591207542275\n",
            "2.0488860342312245 24.306778853281646\n",
            "2.048183953442144 24.32763564682783\n",
            "2.0474822085839004 24.34848246083859\n",
            "2.0467807994957576 24.369319300088918\n",
            "2.046079726017057 24.39014616935153\n",
            "2.045378987987216 24.410963073396857\n",
            "2.04467858524573 24.431770016993042\n",
            "2.04397851763217 24.452567004905948\n",
            "2.0432787849861853 24.47335404189916\n",
            "2.0425793871474998 24.494131132733987\n",
            "2.041880323955916 24.51489828216945\n",
            "2.041181595251312 24.535655494962306\n",
            "2.0404832008736435 24.55640277586702\n",
            "2.0397851406629415 24.577140129635797\n",
            "2.039087414459314 24.59786756101856\n",
            "2.0383900221029463 24.61858507476296\n",
            "2.037692963434099 24.63929267561438\n",
            "2.03699623829311 24.65999036831593\n",
            "940\n",
            "Mean Square Error 509.69351840739466\n",
            "2.036299846520393 24.68067815760845\n",
            "2.0356037879564384 24.70135604823051\n",
            "2.0349080624418128 24.72202404491842\n",
            "2.0342126698171596 24.742682152406214\n",
            "2.033517609923197 24.763330375425667\n",
            "2.0328228826007217 24.783968718706287\n",
            "2.032128487690604 24.80459718697532\n",
            "2.0314344250337926 24.825215784957756\n",
            "2.0307406944713104 24.84582451737631\n",
            "2.030047295844258 24.866423388951453\n",
            "2.029354228993811 24.88701240440139\n",
            "2.0286614937612213 24.907591568442065\n",
            "2.027969089987817 24.928160885787175\n",
            "2.0272770175150012 24.94872036114815\n",
            "2.0265852761842544 24.969269999234175\n",
            "2.0258938658371317 24.989809804752177\n",
            "2.0252027863152646 25.010339782406835\n",
            "2.02451203746036 25.030859936900573\n",
            "2.0238216191142 25.051370272933564\n",
            "2.023131531118645 25.071870795203736\n",
            "960\n",
            "Mean Square Error 501.20359953517715\n",
            "2.0224417733156277 25.092361508406768\n",
            "2.021752345547158 25.112842417236088\n",
            "2.0210632476553223 25.133313526382885\n",
            "2.020374479482281 25.153774840536098\n",
            "2.0196860408702704 25.174226364382427\n",
            "2.0189979316616027 25.194668102606325\n",
            "2.0183101516986657 25.21510005989001\n",
            "2.0176227008239214 25.23552224091345\n",
            "2.0169355788799095 25.255934650354384\n",
            "2.0162487857092417 25.276337292888304\n",
            "2.0155623211546083 25.296730173188468\n",
            "2.0148761850587733 25.317113295925903\n",
            "2.0141903772645757 25.337486665769394\n",
            "2.0135048976149306 25.357850287385496\n",
            "2.012819745952827 25.37820416543853\n",
            "2.01213492212133 25.398548304590584\n",
            "2.0114504259635804 25.418882709501517\n",
            "2.0107662573227922 25.43920738482896\n",
            "2.010082416042256 25.459522335228314\n",
            "2.009398901965336 25.479827565352746\n",
            "980\n",
            "Mean Square Error 492.8746636038192\n",
            "2.008715714935474 25.500123079853207\n",
            "2.0080328547961828 25.520408883378416\n",
            "2.007350321391054 25.54068498057487\n",
            "2.0066681145637504 25.560951376086845\n",
            "2.005986234158013 25.58120807455639\n",
            "2.005304680017655 25.601455080623335\n",
            "2.0046234519865656 25.62169239892529\n",
            "2.0039425499087082 25.641920034097648\n",
            "2.0032619736281214 25.66213799077358\n",
            "2.002581722988918 25.68234627358404\n",
            "2.001901797835285 25.702544887157774\n",
            "2.0012221980114853 25.722733836121304\n",
            "2.000542923361855 25.74291312509894\n",
            "1.9998639737308048 25.763082758712788\n",
            "1.9991853489628204 25.78324274158273\n",
            "1.9985070489024621 25.803393078326444\n",
            "1.9978290733943636 25.8235337735594\n",
            "1.9971514222832338 25.843664831894856\n",
            "1.9964740954138553 25.863786257943865\n",
            "1.9957970926310855 25.88389805631527\n",
            "1000\n",
            "Mean Square Error 484.7036581098002\n",
            "1.995120413779856 25.904000231615715\n",
            "1.994444058705172 25.924092788449634\n",
            "1.9937680272521132 25.94417573141926\n",
            "1.993092319265834 25.964249065124626\n",
            "1.992416934591562 25.98431279416356\n",
            "1.9917418730745993 26.004366923131695\n",
            "1.991067134560322 26.02441145662246\n",
            "1.99039271889418 26.044446399227088\n",
            "1.9897186259216975 26.064471755534615\n",
            "1.9890448554884719 26.084487530131884\n",
            "1.9883714074401757 26.104493727603543\n",
            "1.987698281622554 26.12449035253204\n",
            "1.9870254778814265 26.144477409497636\n",
            "1.986352996062686 26.1644549030784\n",
            "1.9856808360123 26.18442283785021\n",
            "1.9850089975763086 26.204381218386754\n",
            "1.9843374806008265 26.22433004925953\n",
            "1.9836662849320414 26.244269335037856\n",
            "1.9829954104162149 26.26419908028885\n",
            "1.9823248568996823 26.28411928957746\n",
            "1020\n",
            "Mean Square Error 476.6875884301272\n",
            "1.9816546242288517 26.30402996746644\n",
            "1.9809847122502058 26.323931118516363\n",
            "1.9803151208102998 26.34382274728562\n",
            "1.9796458497557625 26.363704858330426\n",
            "1.9789768989332968 26.383577456204804\n",
            "1.9783082681896782 26.403440545460608\n",
            "1.9776399573717554 26.423294130647513\n",
            "1.9769719663264511 26.443138216313013\n",
            "1.9763042949007608 26.46297280700243\n",
            "1.975636942941753 26.48279790725891\n",
            "1.9749699102965699 26.502613521623424\n",
            "1.9743031968124267 26.52241965463477\n",
            "1.973636802336611 26.54221631082958\n",
            "1.9729707267164847 26.562003494742306\n",
            "1.9723049697994817 26.581781210905238\n",
            "1.9716395314331092 26.60154946384849\n",
            "1.970974411464948 26.621308258100015\n",
            "1.9703096097426505 26.6410575981856\n",
            "1.9696451261139434 26.660797488628862\n",
            "1.9689809604266255 26.680527933951254\n",
            "1040\n",
            "Mean Square Error 468.8235167248282\n",
            "1.9683171125285683 26.70024893867207\n",
            "1.9676535822677166 26.719960507308432\n",
            "1.9669903694920878 26.739662644375315\n",
            "1.9663274740497714 26.759355354385523\n",
            "1.9656648957889309 26.779038641849702\n",
            "1.9650026345578009 26.798712511276342\n",
            "1.9643406902046896 26.818376967171776\n",
            "1.963679062577978 26.83803201404018\n",
            "1.9630177515261187 26.857677656383576\n",
            "1.9623567568976374 26.87731389870183\n",
            "1.9616960785411324 26.896940745492653\n",
            "1.9610357163052738 26.916558201251608\n",
            "1.960375670038805 26.936166270472107\n",
            "1.9597159395905415 26.95576495764541\n",
            "1.95905652480937 26.975354267260627\n",
            "1.9583974255442516 26.99493420380472\n",
            "1.9577386416442177 27.01450477176251\n",
            "1.9570801729583733 27.034065975616667\n",
            "1.9564220193358945 27.053617819847716\n",
            "1.9557641806260309 27.07316030893404\n",
            "1060\n",
            "Mean Square Error 461.10856086024563\n",
            "1.9551066566781026 27.092693447351873\n",
            "1.9544494473415033 27.11221723957532\n",
            "1.953792552465698 27.131731690076332\n",
            "1.9531359719002237 27.15123680332473\n",
            "1.9524797054946896 27.17073258378819\n",
            "1.9518237530987765 27.190219035932255\n",
            "1.951168114562238 27.209696164220325\n",
            "1.9505127897348988 27.22916397311367\n",
            "1.9498577784666553 27.248622467071428\n",
            "1.9492030806074767 27.268071650550592\n",
            "1.948548696007403 27.287511528006032\n",
            "1.9478946245165463 27.306942103890485\n",
            "1.9472408659850908 27.326363382654556\n",
            "1.9465874202632916 27.34577536874672\n",
            "1.945934287201476 27.36517806661333\n",
            "1.9452814666500429 27.384571480698597\n",
            "1.9446289584594627 27.403955615444616\n",
            "1.9439767624802773 27.42333047529136\n",
            "1.9433248785631003 27.442696064676667\n",
            "1.9426733065586161 27.462052388036263\n",
            "1080\n",
            "Mean Square Error 453.53989335275736\n",
            "1.9420220463175815 27.481399449803742\n",
            "1.9413710976908243 27.50073725441058\n",
            "1.9407204605292432 27.520065806286134\n",
            "1.9400701346838094 27.53938510985764\n",
            "1.9394201200055639 27.558695169550216\n",
            "1.9387704163456205 27.577995989786864\n",
            "1.938121023555163 27.597287574988467\n",
            "1.937471941485447 27.616569929573796\n",
            "1.9368231699877996 27.635843057959505\n",
            "1.936174708913618 27.655106964560137\n",
            "1.9355265581143717 27.67436165378812\n",
            "1.9348787174416 27.693607130053774\n",
            "1.9342311867469146 27.712843397765305\n",
            "1.9335839658819973 27.732070461328814\n",
            "1.9329370546986009 27.75128832514829\n",
            "1.9322904530485494 27.770496993625617\n",
            "1.931644160783738 27.78969647116057\n",
            "1.930998177756132 27.808886762150824\n",
            "1.930352503817768 27.828067870991944\n",
            "1.9297071388207534 27.847239802077397\n",
            "1100\n",
            "Mean Square Error 446.1147403325197\n",
            "1.9290620826172662 27.866402559798544\n",
            "1.9284173350595553 27.885556148544648\n",
            "1.92777289599994 27.90470057270287\n",
            "1.927128765290811 27.923835836658267\n",
            "1.9264849427846285 27.942961944793804\n",
            "1.9258414283339242 27.96207890149035\n",
            "1.9251982217913 27.981186711126675\n",
            "1.9245553230094286 28.000285378079454\n",
            "1.9239127318410525 28.019374906723268\n",
            "1.9232704481389855 28.038455301430606\n",
            "1.9226284717561113 28.057526566571863\n",
            "1.9219868025453841 28.07658870651534\n",
            "1.921345440359829 28.09564172562726\n",
            "1.9207043850525403 28.11468562827174\n",
            "1.9200636364766834 28.13372041881082\n",
            "1.919423194485494 28.152746101604453\n",
            "1.9187830589322779 28.1717626810105\n",
            "1.9181432296704104 28.190770161384737\n",
            "1.9175037065533382 28.209768547080866\n",
            "1.916864489434577 28.228757842450495\n",
            "1120\n",
            "Mean Square Error 438.8303805268604\n",
            "1.9162255781677133 28.24773805184315\n",
            "1.9155869726064036 28.266709179606284\n",
            "1.9149486726043738 28.285671230085264\n",
            "1.9143106780154209 28.304624207623377\n",
            "1.9136729886934103 28.323568116561834\n",
            "1.913035604492279 28.342502961239767\n",
            "1.9123985252660327 28.361428745994235\n",
            "1.9117617508687474 28.380345475160222\n",
            "1.9111252811545691 28.399253153070635\n",
            "1.9104891159777129 28.418151784056306\n",
            "1.909853255192465 28.437041372446\n",
            "1.909217698653179 28.455921922566407\n",
            "1.9085824462142813 28.47479343874215\n",
            "1.9079474977302648 28.49365592529578\n",
            "1.9073128530556946 28.51250938654778\n",
            "1.9066785120452037 28.531353826816567\n",
            "1.9060444745534955 28.55018925041849\n",
            "1.9054107404353424 28.569015661667837\n",
            "1.9047773095455869 28.587833064876826\n",
            "1.9041441817391402 28.60664146435561\n",
            "1140\n",
            "Mean Square Error 431.68414426294987\n",
            "1.9035113568709838 28.62544086441229\n",
            "1.902878834796168 28.644231269352897\n",
            "1.9022466153698123 28.663012683481405\n",
            "1.901614698447106 28.681785111099728\n",
            "1.9009830838833077 28.70054855650772\n",
            "1.9003517715337446 28.719303024003178\n",
            "1.8997207612538138 28.738048517881847\n",
            "1.8990900528989816 28.75678504243741\n",
            "1.8984596463247827 28.775512601961502\n",
            "1.8978295413868216 28.7942312007437\n",
            "1.8971997379407721 28.812940843071527\n",
            "1.8965702358423764 28.83164153323046\n",
            "1.895941034947446 28.850333275503925\n",
            "1.8953121351118614 28.86901607417329\n",
            "1.894683536191572 28.88768993351789\n",
            "1.8940552380425961 28.906354857814996\n",
            "1.8934272405210215 28.92501085133984\n",
            "1.8927995434830036 28.943657918365613\n",
            "1.892172146784768 28.96229606316345\n",
            "1.8915450502826083 28.98092529000245\n",
            "1160\n",
            "Mean Square Error 424.6734124893837\n",
            "1.8909182538328868 28.99954560314967\n",
            "1.8902917572920348 29.018157006870123\n",
            "1.8896655605165524 29.036759505426783\n",
            "1.889039663363008 29.05535310308058\n",
            "1.888414065688039 29.073937804090413\n",
            "1.8877887673483509 29.092513612713134\n",
            "1.8871637682007183 29.111080533203562\n",
            "1.8865390681019845 29.12963856981448\n",
            "1.8859146669090603 29.148187726796642\n",
            "1.885290564478926 29.16672800839876\n",
            "1.8846667606686296 29.185259418867513\n",
            "1.884043255335288 29.203781962447557\n",
            "1.8834200483360861 29.222295643381507\n",
            "1.8827971395282777 29.240800465909953\n",
            "1.8821745287691842 29.259296434271455\n",
            "1.8815522159161953 29.277783552702545\n",
            "1.88093020082677 29.29626182543773\n",
            "1.880308483358434 29.314731256709482\n",
            "1.8796870633687826 29.33319185074826\n",
            "1.8790659407154777 29.351643611782496\n",
            "1180\n",
            "Mean Square Error 417.79561581631395\n",
            "1.8784451152562507 29.370086544038593\n",
            "1.8778245868489 29.388520651740933\n",
            "1.8772043553512934 29.406945939111882\n",
            "1.876584420621365 29.42536241037178\n",
            "1.8759647825171182 29.44377006973895\n",
            "1.875345440896624 29.462168921429697\n",
            "1.8747263956180205 29.48055896965831\n",
            "1.874107646539515 29.49894021863706\n",
            "1.8734891935193818 29.5173126725762\n",
            "1.872871036415963 29.53567633568397\n",
            "1.8722531750876694 29.5540312121666\n",
            "1.871635609392978 29.572377306228304\n",
            "1.871018339190435 29.590714622071285\n",
            "1.870401364338653 29.609043163895734\n",
            "1.8697846846963135 29.627362935899836\n",
            "1.8691683001221648 29.645673942279764\n",
            "1.868552210475023 29.663976187229682\n",
            "1.8679364156137714 29.68226967494175\n",
            "1.867320915397362 29.700554409606124\n",
            "1.8667057096848128 29.71883039541095\n",
            "1200\n",
            "Mean Square Error 411.04823357378547\n",
            "1.86609079833521 29.737097636542376\n",
            "1.8654761812077072 29.755356137184542\n",
            "1.8648618581615253 29.773605901519584\n",
            "1.8642478290559528 29.791846933727644\n",
            "1.8636340937503453 29.81007923798686\n",
            "1.8630206521041255 29.828302818473368\n",
            "1.8624075039767836 29.846517679361316\n",
            "1.8617946492278774 29.864723824822843\n",
            "1.8611820877170309 29.882921259028098\n",
            "1.8605698193039364 29.901109986145233\n",
            "1.8599578438483524 29.919290010340404\n",
            "1.8593461612101052 29.93746133577778\n",
            "1.8587347712490878 29.955623966619527\n",
            "1.8581236738252604 29.97377790702583\n",
            "1.85751286879865 29.991923161154876\n",
            "1.856902356029351 30.010059733162866\n",
            "1.8562921353775241 30.028187627204012\n",
            "1.8556822067033973 30.04630684743054\n",
            "1.8550725698672654 30.064417397992685\n",
            "1.8544632247294905 30.0825192830387\n",
            "1220\n",
            "Mean Square Error 404.4287928879265\n",
            "1.8538541711505006 30.10061250671485\n",
            "1.853245408990791 30.118697073165418\n",
            "1.852636938110924 30.1367729865327\n",
            "1.8520287583715282 30.154840250957022\n",
            "1.8514208696332992 30.172898870576716\n",
            "1.8508132717569987 30.190948849528137\n",
            "1.8502059646034559 30.208990191945663\n",
            "1.8495989480335657 30.227022901961696\n",
            "1.8489922219082902 30.245046983706654\n",
            "1.8483857860886577 30.263062441308985\n",
            "1.847779640435763 30.28106927889516\n",
            "1.8471737848107674 30.299067500589672\n",
            "1.8465682190748989 30.317057110515044\n",
            "1.8459629430894517 30.33503811279183\n",
            "1.8453579567157858 30.353010511538603\n",
            "1.844753259815329 30.370974310871972\n",
            "1.8441488522495735 30.388929514906575\n",
            "1.8435447338800792 30.40687612775508\n",
            "1.842940904568472 30.42481415352819\n",
            "1.8423373641764436 30.442743596334637\n",
            "1240\n",
            "Mean Square Error 397.9348677746526\n",
            "1.841734112565752 30.460664460281194\n",
            "1.8411311495982212 30.47857674947266\n",
            "1.8405284751357425 30.496480468011875\n",
            "1.839926089040271 30.514375619999715\n",
            "1.8393239911738302 30.532262209535094\n",
            "1.8387221813985082 30.550140240714967\n",
            "1.8381206595764594 30.568009717634325\n",
            "1.8375194255699046 30.5858706443862\n",
            "1.8369184792411297 30.60372302506167\n",
            "1.8363178204524873 30.621566863749845\n",
            "1.8357174490663952 30.63940216453789\n",
            "1.8351173649453378 30.657228931511014\n",
            "1.8345175679518644 30.675047168752464\n",
            "1.8339180579485908 30.692856880343534\n",
            "1.833318834798198 30.71065807036357\n",
            "1.8327198983634332 30.728450742889965\n",
            "1.8321212485071088 30.746234901998157\n",
            "1.8315228850921033 30.76401055176164\n",
            "1.8309248079813603 30.781777696251954\n",
            "1.8303270170378896 30.799536339538694\n",
            "1260\n",
            "Mean Square Error 391.5640782505632\n",
            "1.8297295121247659 30.817286485689504\n",
            "1.8291322931051297 30.835028138770085\n",
            "1.8285353598421874 30.852761302844193\n",
            "1.8279387121992101 30.870485981973637\n",
            "1.8273423500395347 30.888202180218286\n",
            "1.8267462732265636 30.90590990163606\n",
            "1.8261504816237644 30.92360915028295\n",
            "1.8255549750946698 30.94129993021299\n",
            "1.8249597535028785 30.958982245478282\n",
            "1.8243648167120536 30.976656100128995\n",
            "1.8237701645859241 30.994321498213353\n",
            "1.8231757969882838 31.011978443777643\n",
            "1.822581713782992 31.02962694086622\n",
            "1.8219879148339726 31.047266993521497\n",
            "1.8213944000052156 31.06489860578396\n",
            "1.8208011691607748 31.082521781692154\n",
            "1.8202082221647702 31.100136525282704\n",
            "1.819615558881386 31.117742840590292\n",
            "1.8190231791748719 31.135340731647673\n",
            "1.818431082909542 31.152930202485674\n",
            "1280\n",
            "Mean Square Error 385.31408946068854\n",
            "1.8178392699497763 31.170511257133192\n",
            "1.8172477401600184 31.188083899617197\n",
            "1.816656493404778 31.20564813396273\n",
            "1.8160655295486285 31.22320396419291\n",
            "1.8154748484562093 31.240751394328925\n",
            "1.8148844499922234 31.258290428390048\n",
            "1.814294334021439 31.27582107039362\n",
            "1.8137045004086898 31.293343324355064\n",
            "1.8131149490188725 31.31085719428788\n",
            "1.81252567971695 31.32836268420365\n",
            "1.8119366923679492 31.345859798112038\n",
            "1.811347986836961 31.363348540020784\n",
            "1.810759562989142 31.380828913935712\n",
            "1.8101714206897128 31.39830092386073\n",
            "1.809583559803958 31.415764573797833\n",
            "1.8089959801972273 31.4332198677471\n",
            "1.808408681734935 31.45066680970669\n",
            "1.8078216642825586 31.46810540367286\n",
            "1.8072349277056414 31.48553565363994\n",
            "1.8066484718697904 31.502957563600365\n",
            "1300\n",
            "Mean Square Error 379.18261082278076\n",
            "1.8060622966406767 31.52037113754465\n",
            "1.805476401884036 31.537776379461402\n",
            "1.8048907874656681 31.555173293337322\n",
            "1.804305453251437 31.5725618831572\n",
            "1.8037203991072712 31.58994215290392\n",
            "1.803135624899163 31.607314106558462\n",
            "1.8025511304931687 31.624677748099902\n",
            "1.8019669157554092 31.64203308150541\n",
            "1.8013829805520687 31.659380110750256\n",
            "1.8007993247493963 31.6767188398078\n",
            "1.8002159482137046 31.69404927264951\n",
            "1.7996328508113701 31.711371413244954\n",
            "1.7990500324088334 31.72868526556179\n",
            "1.7984674928725992 31.745990833565788\n",
            "1.7978852320692353 31.763288121220814\n",
            "1.797303249865375 31.780577132488844\n",
            "1.796721546127713 31.797857871329953\n",
            "1.7961401207230099 31.81513034170232\n",
            "1.795558973518089 31.832394547562238\n",
            "1.794978104379838 31.849650492864097\n",
            "1320\n",
            "Mean Square Error 373.16739518782975\n",
            "1.7943975131752072 31.8668981815604\n",
            "1.7938171997712118 31.884137617601763\n",
            "1.7932371640349296 31.9013688049369\n",
            "1.7926574058335027 31.918591747512647\n",
            "1.7920779250341368 31.935806449273947\n",
            "1.7914987215041005 31.953012914163857\n",
            "1.7909197951107263 31.970211146123543\n",
            "1.7903411457214102 31.98740114909229\n",
            "1.7897627732036117 32.0045829270075\n",
            "1.7891846774248534 32.02175648380468\n",
            "1.7886068582527217 32.03892182341747\n",
            "1.7880293155548663 32.05607894977761\n",
            "1.7874520491989998 32.073227866814975\n",
            "1.7868750590528986 32.09036857845755\n",
            "1.7862983449844019 32.107501088631444\n",
            "1.7857219068614125 32.124625401260886\n",
            "1.7851457445518968 32.141741520268226\n",
            "1.7845698579238831 32.15884944957394\n",
            "1.7839942468454641 32.175949193096635\n",
            "1.783418911184795 32.19304075475303\n",
            "1340\n",
            "Mean Square Error 367.26623801649816\n",
            "1.782843850810094 32.21012413845797\n",
            "1.782269065589643 32.22719934812444\n",
            "1.7816945553917864 32.24426638766354\n",
            "1.7811203200849313 32.2613252609845\n",
            "1.7805463595375488 32.27837597199469\n",
            "1.7799726736181716 32.295418524599604\n",
            "1.7793992621953967 32.31245292270286\n",
            "1.7788261251378827 32.32947917020622\n",
            "1.7782532623143519 32.346497271009575\n",
            "1.777680673593589 32.36350722901095\n",
            "1.7771083588444416 32.3805090481065\n",
            "1.7765363179358202 32.39750273219052\n",
            "1.7759645507366977 32.414488285155436\n",
            "1.7753930571161103 32.43146571089183\n",
            "1.7748218369431557 32.448435013288396\n",
            "1.7742508900869958 32.465396196231985\n",
            "1.773680216416854 32.48234926360759\n",
            "1.773109815802016 32.49929421929833\n",
            "1.7725396881118316 32.51623106718548\n",
            "1.7719698332157112 32.53315981114845\n",
            "1360\n",
            "Mean Square Error 361.4769765711701\n",
            "1.7714002509831293 32.5500804550648\n",
            "1.7708309412836216 32.566993002810236\n",
            "1.770261903986787 32.5838974582586\n",
            "1.7696931389622865 32.600793825281876\n",
            "1.769124646079844 32.61768210775022\n",
            "1.7685564252092445 32.63456230953191\n",
            "1.7679884762203366 32.65143443449339\n",
            "1.7674207989830304 32.668298486499246\n",
            "1.7668533933672987 32.68515446941222\n",
            "1.7662862592431763 32.702002387093195\n",
            "1.7657193964807598 32.71884224340122\n",
            "1.765152804950209 32.73567404219349\n",
            "1.7645864845217447 32.75249778732535\n",
            "1.7640204350656503 32.76931348265032\n",
            "1.7634546564522717 32.78612113202005\n",
            "1.762889148552016 32.80292073928437\n",
            "1.7623239112353526 32.819712308291244\n",
            "1.7617589443728134 32.836495842886826\n",
            "1.761194247834991 32.8532713469154\n",
            "1.7606298214925418 32.87003882421943\n",
            "1380\n",
            "Mean Square Error 355.79748912332025\n",
            "1.760065665216182 32.886798278639525\n",
            "1.7595017788766911 32.903549714014474\n",
            "1.7589381623449103 32.92029313418122\n",
            "1.7583748154917418 32.93702854297487\n",
            "1.7578117381881504 32.953755944228696\n",
            "1.7572489303051622 32.97047534177413\n",
            "1.7566863917138653 32.987186739440794\n",
            "1.756124122285409 33.003890141056445\n",
            "1.755562121891005 33.02058555044703\n",
            "1.7550003904019256 33.037272971436664\n",
            "1.7544389276895058 33.053952407847625\n",
            "1.7538777336251414 33.070623863500366\n",
            "1.75331680808029 33.08728734221351\n",
            "1.7527561509264709 33.10394284780385\n",
            "1.7521957620352642 33.12059038408636\n",
            "1.7516356412783123 33.13722995487419\n",
            "1.7510757885273185 33.153861563978666\n",
            "1.7505162036540476 33.170485215209276\n",
            "1.7499568865303254 33.187100912373694\n",
            "1.74939783702804 33.20370865927777\n",
            "1400\n",
            "Mean Square Error 350.22569417591666\n",
            "1.7488390550191402 33.22030845972555\n",
            "1.7482805403756354 33.236900317519236\n",
            "1.7477222929695975 33.25348423645922\n",
            "1.7471643126731584 33.27006022034408\n",
            "1.7466065993585127 33.28662827297056\n",
            "1.7460491528979147 33.303188398133614\n",
            "1.7454919731636804 33.319740599626364\n",
            "1.7449350600281868 33.33628488124011\n",
            "1.744378413363872 33.35282124676436\n",
            "1.7438220330432357 33.369349699986785\n",
            "1.743265918938837 33.38587024469326\n",
            "1.7427100709232983 33.40238288466784\n",
            "1.7421544888693008 33.41888762369277\n",
            "1.741599172649588 33.43538446554849\n",
            "1.7410441221369637 33.451873414013626\n",
            "1.7404893372042927 33.46835447286501\n",
            "1.7399348177245002 33.484827645877644\n",
            "1.739380563570573 33.50129293682474\n",
            "1.7388265746155582 33.5177503494777\n",
            "1.7382728507325638 33.53419988760612\n",
            "1420\n",
            "Mean Square Error 344.7595497005606\n",
            "1.7377193917947582 33.550641554977794\n",
            "1.737166197675371 33.56707535535872\n",
            "1.7366132682476916 33.58350129251307\n",
            "1.7360606033850716 33.599919370203246\n",
            "1.7355082029609212 33.616329592189835\n",
            "1.7349560668487127 33.632731962231624\n",
            "1.7344041949219784 33.6491264840856\n",
            "1.7338525870543111 33.66551316150696\n",
            "1.7333012431193637 33.68189199824909\n",
            "1.7327501629908506 33.6982629980636\n",
            "1.7321993465425458 33.714626164700285\n",
            "1.7316487936482836 33.73098150190716\n",
            "1.7310985041819595 33.747329013430445\n",
            "1.730548478017528 33.76366870301456\n",
            "1.7299987150290055 33.78000057440214\n",
            "1.7294492150904675 33.79632463133402\n",
            "1.7288999780760501 33.81264087754926\n",
            "1.7283510038599499 33.82894931678513\n",
            "1.7278022923164231 33.84524995277709\n",
            "1.7272538433197866 33.861542789258834\n",
            "1440\n",
            "Mean Square Error 339.3970523890998\n",
            "1.7267056567444172 33.877827829962264\n",
            "1.726157732464752 33.89410507861749\n",
            "1.725610070355288 33.91037453895285\n",
            "1.7250626702905822 33.92663621469489\n",
            "1.7245155321452517 33.94289010956837\n",
            "1.7239686557939735 33.95913622729626\n",
            "1.7234220411114856 33.97537457159978\n",
            "1.7228756879725837 33.99160514619834\n",
            "1.7223295962521254 34.00782795480958\n",
            "1.7217837658250275 34.024043001149366\n",
            "1.7212381965662662 34.04025028893177\n",
            "1.7206928883508787 34.056449821869116\n",
            "1.7201478410539603 34.07264160367192\n",
            "1.719603054550668 34.08882563804894\n",
            "1.7190585287162168 34.10500192870715\n",
            "1.7185142634258823 34.12117047935177\n",
            "1.7179702585550003 34.137331293686216\n",
            "1.7174265139789646 34.153484375412155\n",
            "1.7168830295732307 34.16962972822948\n",
            "1.7163398052133119 34.18576735583631\n",
            "1460\n",
            "Mean Square Error 334.136236919426\n",
            "1.7157968407747815 34.201897261929\n",
            "1.7152541361332734 34.21801945020212\n",
            "1.7147116911644795 34.23413392434849\n",
            "1.7141695057441522 34.25024068805916\n",
            "1.7136275797481033 34.2663397450234\n",
            "1.7130859130522034 34.28243109892874\n",
            "1.7125445055323827 34.29851475346092\n",
            "1.7120033570646314 34.31459071230393\n",
            "1.711462467524998 34.330658979140004\n",
            "1.7109218367895913 34.34671955764959\n",
            "1.7103814647345792 34.362772451511404\n",
            "1.7098413512361876 34.378817664402376\n",
            "1.7093014961707036 34.39485519999769\n",
            "1.708761899414472 34.41088506197078\n",
            "1.7082225608438972 34.426907253993306\n",
            "1.7076834803354433 34.44292177973517\n",
            "1.7071446577656326 34.45892864286454\n",
            "1.706606093011047 34.47492784704781\n",
            "1.7060677859483273 34.49091939594961\n",
            "1.7055297364541737 34.506903293232845\n",
            "1480\n",
            "Mean Square Error 328.97517523519804\n",
            "1.7049919444053447 34.52287954255865\n",
            "1.7044544096786585 34.53884814758641\n",
            "1.7039171321509918 34.55480911197376\n",
            "1.7033801116992795 34.57076243937659\n",
            "1.7028433482005176 34.58670813344903\n",
            "1.7023068415317582 34.60264619784347\n",
            "1.7017705915701145 34.61857663621055\n",
            "1.7012345981927572 34.63449945219916\n",
            "1.700698861276916 34.650414649456444\n",
            "1.7001633806998802 34.66632223162782\n",
            "1.6996281563389959 34.682222202356925\n",
            "1.69909318807167 34.69811456528569\n",
            "1.6985584757753667 34.713999324054285\n",
            "1.6980240193276095 34.72987648230113\n",
            "1.6974898186059804 34.74574604366292\n",
            "1.6969558734881194 34.761608011774605\n",
            "1.6964221838517257 34.77746239026939\n",
            "1.6958887495745572 34.793309182778756\n",
            "1.6953555705344292 34.80914839293243\n",
            "1.6948226466092167 34.82498002435841\n",
            "1500\n",
            "Mean Square Error 323.91197583921826\n",
            "1.6942899776768523 34.84080408068296\n",
            "1.6937575636153275 34.8566205655306\n",
            "1.693225404302692 34.872429482524126\n",
            "1.6926934996170535 34.888230835284595\n",
            "1.6921618494365789 34.90402462743133\n",
            "1.6916304536394924 34.91981086258194\n",
            "1.691099312104077 34.93558954435227\n",
            "1.690568424708674 34.95136067635646\n",
            "1.6900377913316829 34.967124262206916\n",
            "1.6895074118515607 34.98288030551431\n",
            "1.6889772861468235 34.998628809887585\n",
            "1.6884474140960455 35.014369778933975\n",
            "1.6879177955778577 35.030103216258965\n",
            "1.687388430470951 35.04582912546633\n",
            "1.6868593186540728 35.06154751015811\n",
            "1.6863304600060296 35.077258373934626\n",
            "1.6858018544056852 35.092961720394484\n",
            "1.685273501731962 35.108657553134556\n",
            "1.6847454018638395 35.12434587575\n",
            "1.6842175546803557 35.14002669183426\n",
            "1520\n",
            "Mean Square Error 318.9447831002154\n",
            "1.6836899600606061 35.15570000497904\n",
            "1.683162617883745 35.17136581877434\n",
            "1.682635528028983 35.187024136808446\n",
            "1.68210869037559 35.20267496266792\n",
            "1.6815821048028925 35.21831829993761\n",
            "1.6810557711902754 35.23395415220064\n",
            "1.680529689417181 35.249582523038434\n",
            "1.6800038593631095 35.2652034160307\n",
            "1.6794782809076185 35.28081683475543\n",
            "1.6789529539303236 35.296422782788895\n",
            "1.6784278783108977 35.31202126370567\n",
            "1.6779030539290714 35.3276122810786\n",
            "1.6773784806646328 35.34319583847885\n",
            "1.6768541583974275 35.35877193947585\n",
            "1.6763300870073585 35.374340587637334\n",
            "1.6758062663743867 35.38990178652933\n",
            "1.67528269637853 35.40545553971615\n",
            "1.6747593768998634 35.42100185076041\n",
            "1.6742363078185203 35.43654072322302\n",
            "1.6737134890146907 35.45207216066318\n",
            "1540\n",
            "Mean Square Error 314.0717765727622\n",
            "1.673190920368622 35.46759616663839\n",
            "1.6726686017606192 35.48311274470445\n",
            "1.6721465330710439 35.49862189841546\n",
            "1.6716247141803162 35.51412363132381\n",
            "1.671103144968912 35.52961794698022\n",
            "1.6705818253173648 35.54510484893366\n",
            "1.6700607551062663 35.56058434073145\n",
            "1.6695399342162636 35.576056425919184\n",
            "1.6690193625280627 35.59152110804077\n",
            "1.6684990399224249 35.606978390638425\n",
            "1.66797896628017 35.62242827725265\n",
            "1.6674591414821747 35.637870771422286\n",
            "1.666939565409371 35.65330587668445\n",
            "1.6664202379427504 35.668733596574576\n",
            "1.6659011589633594 35.684153934626416\n",
            "1.6653823283523026 35.69956689437202\n",
            "1.6648637459907403 35.71497247934175\n",
            "1.664345411759891 35.73037069306429\n",
            "1.6638273255410292 35.74576153906661\n",
            "1.663309487215486 35.761145020874025\n",
            "1560\n",
            "Mean Square Error 309.29117033009686\n",
            "1.6627918966646507 35.77652114201014\n",
            "1.662274553769967 35.791889905996875\n",
            "1.6617574584129378 35.80725131635448\n",
            "1.6612406104751207 35.82260537660151\n",
            "1.6607240098381313 35.83795209025483\n",
            "1.6602076563836414 35.85329146082964\n",
            "1.6596915499933793 35.868623491839436\n",
            "1.65917569054913 35.883948186796054\n",
            "1.658660077932735 35.899265549209645\n",
            "1.6581447120260921 35.91457558258867\n",
            "1.6576295927111564 35.92987829043991\n",
            "1.6571147198699387 35.94517367626848\n",
            "1.6566000933845069 35.960461743577824\n",
            "1.6560857131369842 35.97574249586969\n",
            "1.6555715790095515 35.99101593664416\n",
            "1.6550576908844454 36.00628206939964\n",
            "1.6545440486439593 36.02154089763286\n",
            "1.6540306521704422 36.036792424838886\n",
            "1.6535175013462997 36.052036654511106\n",
            "1.653004596053994 36.067273590141234\n",
            "1580\n",
            "Mean Square Error 304.6012123095899\n",
            "1.6524919361760433 36.08250323521931\n",
            "1.651979521595022 36.09772559323372\n",
            "1.6514673521935606 36.112940667671154\n",
            "1.6509554278543461 36.12814846201666\n",
            "1.650443748460121 36.14334897975361\n",
            "1.6499323138936848 36.15854222436371\n",
            "1.649421124037892 36.17372819932699\n",
            "1.6489101787756542 36.18890690812182\n",
            "1.648399477989938 36.20407835422492\n",
            "1.6478890215637674 36.21924254111132\n",
            "1.6473788093802209 36.23439947225442\n",
            "1.6468688413224333 36.24954915112592\n",
            "1.6463591172735965 36.26469158119589\n",
            "1.6458496371169564 36.27982676593273\n",
            "1.6453404007358163 36.29495470880318\n",
            "1.6448314080135347 36.310075413272315\n",
            "1.6443226588335258 36.32518888280356\n",
            "1.6438141530792598 36.34029512085868\n",
            "1.6433058906342626 36.35539413089778\n",
            "1.642797871382116 36.370485916379316\n",
            "1600\n",
            "Mean Square Error 300.0001836706252\n",
            "1.6422900952064574 36.38557048076009\n",
            "1.6417825619909796 36.400647827495234\n",
            "1.6412752716194317 36.41571796003825\n",
            "1.6407682239756174 36.430780881840974\n",
            "1.640261418943397 36.445836596353594\n",
            "1.639754856406686 36.460885107024644\n",
            "1.6392485362494553 36.47592641730101\n",
            "1.6387424583557313 36.49096053062793\n",
            "1.6382366226095963 36.505987450449\n",
            "1.6377310288951874 36.52100718020615\n",
            "1.637225677096698 36.53601972333967\n",
            "1.6367205670983762 36.55102508328822\n",
            "1.6362156987845256 36.5660232634888\n",
            "1.6357110720395056 36.581014267376766\n",
            "1.6352066867477304 36.59599809838583\n",
            "1.6347025427936697 36.61097475994806\n",
            "1.6341986400618487 36.625944255493884\n",
            "1.6336949784368475 36.640906588452104\n",
            "1.6331915578033014 36.655861762249856\n",
            "1.6326883780459014 36.670809780312645\n",
            "1620\n",
            "Mean Square Error 295.48639816465425\n",
            "1.6321854390493933 36.68575064606434\n",
            "1.6316827406985779 36.700684362927184\n",
            "1.6311802828783115 36.71561093432175\n",
            "1.6306780654735051 36.73053036366701\n",
            "1.6301760883691254 36.74544265438027\n",
            "1.6296743514501932 36.760347809877224\n",
            "1.6291728546017852 36.77524583357192\n",
            "1.6286715977090322 36.79013672887678\n",
            "1.6281705806571212 36.80502049920258\n",
            "1.6276698033312933 36.81989714795847\n",
            "1.627169265616844 36.83476667855198\n",
            "1.626668967399125 36.849629094388995\n",
            "1.6261689085635418 36.86448439887378\n",
            "1.6256690889955552 36.87933259540896\n",
            "1.6251695085806805 36.89417368739554\n",
            "1.6246701672044888 36.9090076782329\n",
            "1.624171064752604 36.92383457131879\n",
            "1.6236722011107068 36.938654370049335\n",
            "1.6231735761645312 36.953467077819035\n",
            "1.622675189799866 36.96827269802076\n",
            "1640\n",
            "Mean Square Error 291.0582015171989\n",
            "1.6221770419025556 36.98307123404577\n",
            "1.621679132358498 36.99786268928368\n",
            "1.6211814610536468 37.01264706712251\n",
            "1.620684027874009 37.02742437094864\n",
            "1.6201868327056468 37.042194604146836\n",
            "1.619689875434677 37.05695777010025\n",
            "1.6191931559472703 37.0717138721904\n",
            "1.618696674129653 37.086462913797206\n",
            "1.6182004298681043 37.10120489829895\n",
            "1.6177044230489592 37.11593982907232\n",
            "1.6172086535586065 37.13066770949236\n",
            "1.6167131212834895 37.14538854293252\n",
            "1.616217826110105 37.160102332764644\n",
            "1.6157227679250057 37.17480908235894\n",
            "1.615227946614797 37.18950879508401\n",
            "1.61473336206614 37.20420147430685\n",
            "1.6142390141657486 37.21888712339285\n",
            "1.6137449028003918 37.23356574570577\n",
            "1.6132510278568928 37.24823734460778\n",
            "1.6127573892221283 37.26290192345943\n",
            "1660\n",
            "Mean Square Error 286.713970821567\n",
            "1.6122639867830304 37.27755948561967\n",
            "1.6117708204265837 37.29221003444584\n",
            "1.6112778900398277 37.306853573293665\n",
            "1.610785195509856 37.32149010551728\n",
            "1.610292736723816 37.3361196344692\n",
            "1.6098005135689095 37.35074216350034\n",
            "1.609308525932392 37.36535769596003\n",
            "1.6088167737015724 37.379966235195965\n",
            "1.6083252567638147 37.39456778455426\n",
            "1.6078339750065356 37.40916234737943\n",
            "1.6073429283172065 37.42374992701438\n",
            "1.6068521165833523 37.438330526800414\n",
            "1.6063615396925515 37.452904150077245\n",
            "1.6058711975324371 37.46747080018299\n",
            "1.6053810899906953 37.482030480454156\n",
            "1.6048912169550658 37.49658319422567\n",
            "1.604401578313343 37.51112894483085\n",
            "1.6039121739533737 37.525667735601424\n",
            "1.6034230037630597 37.540199569867525\n",
            "1.6029340676303554 37.5547244509577\n",
            "1680\n",
            "Mean Square Error 282.45211394406954\n",
            "1.6024453654432689 37.569242382198894\n",
            "1.6019568970898623 37.58375336691646\n",
            "1.6014686624582517 37.598257408434165\n",
            "1.6009806614366053 37.61275451007418\n",
            "1.6004928939131466 37.6272446751571\n",
            "1.6000053597761505 37.641727907001915\n",
            "1.5995180589139475 37.65620420892603\n",
            "1.5990309912149203 37.670673584245264\n",
            "1.5985441565675047 37.68513603627386\n",
            "1.5980575548601912 37.699591568324465\n",
            "1.5975711859815223 37.714040183708136\n",
            "1.5970850498200946 37.728481885734354\n",
            "1.596599146264558 37.742916677711015\n",
            "1.5961134752036152 37.75734456294443\n",
            "1.5956280365260227 37.77176554473934\n",
            "1.5951428301205899 37.786179626398884\n",
            "1.5946578558761793 37.80058681122463\n",
            "1.5941731136817068 37.81498710251658\n",
            "1.5936886034261415 37.829380503573134\n",
            "1.5932043249985055 37.84376701769113\n",
            "1700\n",
            "Mean Square Error 278.27106894051207\n",
            "1.592720278287874 37.858146648165814\n",
            "1.5922364631833754 37.87251939829087\n",
            "1.5917528795741909 37.8868852713584\n",
            "1.591269527349555 37.90124427065893\n",
            "1.5907864063987551 37.91559639948141\n",
            "1.5903035166111317 37.92994166111322\n",
            "1.5898208578760777 37.94428005884017\n",
            "1.5893384300830393 37.95861159594649\n",
            "1.5888562331215161 37.972936275714844\n",
            "1.5883742668810599 37.98725410142632\n",
            "1.5878925312512753 38.00156507636045\n",
            "1.58741102612182 38.01586920379517\n",
            "1.5869297513824048 38.03016648700687\n",
            "1.5864487069227928 38.044456929270375\n",
            "1.5859678926327996 38.05874053385892\n",
            "1.5854873084022945 38.0730173040442\n",
            "1.5850069541211986 38.08728724309633\n",
            "1.5845268296794859 38.10155035428386\n",
            "1.5840469349671829 38.11580664087378\n",
            "1.5835672698743695 38.13005610613151\n",
            "1720\n",
            "Mean Square Error 274.16930348375183\n",
            "1.5830878342911772 38.144298753320925\n",
            "1.5826086281077905 38.158534585704324\n",
            "1.5821296512144465 38.172763606542446\n",
            "1.5816509035014348 38.18698581909447\n",
            "1.5811723848590977 38.20120122661801\n",
            "1.5806940951778292 38.21540983236914\n",
            "1.580216034348077 38.22961163960236\n",
            "1.5797382022603395 38.24380665157062\n",
            "1.579260598805169 38.25799487152531\n",
            "1.5787832238731698 38.27217630271627\n",
            "1.578306077354998 38.28635094839177\n",
            "1.5778291591413625 38.30051881179854\n",
            "1.5773524691230247 38.31467989618175\n",
            "1.576876007190798 38.328834204785025\n",
            "1.5763997732355475 38.34298174085043\n",
            "1.5759237671481912 38.357122507618485\n",
            "1.5754479888196993 38.37125650832815\n",
            "1.5749724381410939 38.385383746216846\n",
            "1.5744971150034495 38.399504224520435\n",
            "1.5740220192978924 38.41361794647324\n",
            "1740\n",
            "Mean Square Error 270.1453143021112\n",
            "1.573547150915601 38.427724915308026\n",
            "1.5730725097478062 38.44182513425603\n",
            "1.5725980956857906 38.455918606546916\n",
            "1.5721239086208887 38.47000533540883\n",
            "1.5716499484444872 38.484085324068346\n",
            "1.571176215048025 38.498158575750516\n",
            "1.5707027083229925 38.51222509367884\n",
            "1.5702294281609324 38.526284881075284\n",
            "1.5697563744534386 38.54033794116026\n",
            "1.569283547092158 38.55438427715264\n",
            "1.5688109459687882 38.56842389226977\n",
            "1.5683385709750794 38.582456789727445\n",
            "1.5678664220028333 38.59648297273991\n",
            "1.5673944989439035 38.6105024445199\n",
            "1.566922801690195 38.624515208278595\n",
            "1.5664513301336649 38.63852126722564\n",
            "1.5659800841663218 38.65252062456915\n",
            "1.5655090636802262 38.66651328351569\n",
            "1.56503826856749 38.68049924727031\n",
            "1.5645676987202766 38.69447851903652\n",
            "1760\n",
            "Mean Square Error 266.19762662843516\n",
            "1.5640973540308014 38.70845110201629\n",
            "1.5636272343913313 38.722416999410065\n",
            "1.5631573396941845 38.73637621441676\n",
            "1.5626876698317307 38.75032875023375\n",
            "1.5622182246963914 38.76427461005689\n",
            "1.5617490041806392 38.7782137970805\n",
            "1.5612800081769989 38.79214631449737\n",
            "1.5608112365780458 38.806072165498776\n",
            "1.560342689276407 38.81999135327445\n",
            "1.5598743661647607 38.83390388101261\n",
            "1.5594062671358375 38.84780975189994\n",
            "1.558938392082418 38.8617089691216\n",
            "1.5584707408973344 38.875601535861236\n",
            "1.5580033134734712 38.88948745530095\n",
            "1.5575361097037628 38.90336673062135\n",
            "1.5570691294811954 38.9172393650015\n",
            "1.5566023726988067 38.93110536161895\n",
            "1.5561358392496851 38.944964723649726\n",
            "1.5556695290269704 38.95881745426834\n",
            "1.5552034419238536 38.97266355664779\n",
            "1780\n",
            "Mean Square Error 262.3247936595999\n",
            "1.5547375778335764 38.986503033959536\n",
            "1.5542719366494322 39.00033588937354\n",
            "1.553806518264765 39.01416212605824\n",
            "1.5533413225729698 39.027981747180554\n",
            "1.5528763494674929 39.0417947559059\n",
            "1.5524115988418312 39.05560115539816\n",
            "1.551947070589533 39.06940094881971\n",
            "1.5514827646041978 39.083194139331425\n",
            "1.5510186807794748 39.09698073009265\n",
            "1.5505548190090652 39.11076072426123\n",
            "1.5500911791867207 39.1245341249935\n",
            "1.5496277612062437 39.13830093544428\n",
            "1.5491645649614876 39.15206115876687\n",
            "1.5487015903463563 39.165814798113075\n",
            "1.5482388372548057 39.17956185663319\n",
            "1.5477763055808402 39.193302337476005\n",
            "1.5473139952185169 39.2070362437888\n",
            "1.5468519060619426 39.220763578717346\n",
            "1.5463900380052749 39.23448434540591\n",
            "1.5459283909427224 39.24819854699726\n",
            "1800\n",
            "Mean Square Error 258.52539602626814\n",
            "1.545466964768544 39.26190618663265\n",
            "1.5450057593770492 39.275607267451846\n",
            "1.5445447746625982 39.2893017925931\n",
            "1.5440840105196016 39.30298976519317\n",
            "1.5436234668425208 39.316671188387296\n",
            "1.5431631435258673 39.33034606530924\n",
            "1.5427030404642035 39.34401439909126\n",
            "1.542243157552142 39.35767619286409\n",
            "1.5417834946843458 39.37133144975701\n",
            "1.5413240517555284 39.38498017289776\n",
            "1.5408648286604536 39.39862236541261\n",
            "1.5404058252939359 39.41225803042634\n",
            "1.5399470415508392 39.4258871710622\n",
            "1.5394884773260784 39.43950979044198\n",
            "1.5390301325146194 39.45312589168596\n",
            "1.5385720070114768 39.46673547791293\n",
            "1.5381141007117163 39.480338552240184\n",
            "1.5376564135104542 39.493935117783536\n",
            "1.5371989453028558 39.5075251776573\n",
            "1.5367416959841378 39.5211087349743\n",
            "1820\n",
            "Mean Square Error 254.79804127269927\n",
            "1.5362846654495663 39.53468579284586\n",
            "1.5358278535944578 39.54825635438185\n",
            "1.5353712603141787 39.561820422690616\n",
            "1.5349148855041455 39.575378000879034\n",
            "1.5344587290598248 39.58892909205249\n",
            "1.5340027908767333 39.60247369931488\n",
            "1.5335470708504375 39.61601182576862\n",
            "1.5330915688765543 39.62954347451464\n",
            "1.5326362848507498 39.64306864865239\n",
            "1.5321812186687407 39.65658735127983\n",
            "1.531726370226293 39.670099585493446\n",
            "1.5312717394192235 39.683605354388234\n",
            "1.5308173261433975 39.69710466105771\n",
            "1.5303631302947318 39.710597508593914\n",
            "1.5299091517691914 39.7240839000874\n",
            "1.5294553904627923 39.73756383862726\n",
            "1.529001846271599 39.751037327301084\n",
            "1.5285485190917274 39.764504369195\n",
            "1.5280954088193415 39.777964967393665\n",
            "1.5276425153506556 39.791419124980244\n",
            "1840\n",
            "Mean Square Error 251.14136334642285\n",
            "1.527189838581934 39.804866845036436\n",
            "1.52673737840949 39.81830813064246\n",
            "1.5262851347296875 39.83174298487706\n",
            "1.5258331074389389 39.84517141081752\n",
            "1.5253812964337068 39.858593411539644\n",
            "1.5249297016105026 39.87200899011776\n",
            "1.5244783228658882 39.88541814962473\n",
            "1.5240271600964745 39.89882089313195\n",
            "1.5235762131989221 39.91221722370933\n",
            "1.5231254820699405 39.925607144425314\n",
            "1.5226749666062895 39.9389906583469\n",
            "1.5222246667047772 39.9523677685396\n",
            "1.5217745822622621 39.965738478067465\n",
            "1.5213247131756518 39.97910278999308\n",
            "1.5208750593419023 39.99246070737755\n",
            "1.52042562065802 40.005812233280544\n",
            "1.5199763970210607 40.01915737076024\n",
            "1.5195273883281282 40.03249612287337\n",
            "1.519078594476377 40.04582849267519\n",
            "1.5186300153630097 40.05915448321951\n",
            "1860\n",
            "Mean Square Error 247.554022097588\n",
            "1.5181816508852788 40.07247409755866\n",
            "1.5177335009404853 40.08578733874353\n",
            "1.5172855654259803 40.099094209823534\n",
            "1.5168378442391628 40.11239471384663\n",
            "1.5163903372774818 40.12568885385933\n",
            "1.5159430444384354 40.13897663290667\n",
            "1.5154959656195701 40.15225805403224\n",
            "1.5150491007184816 40.16553312027817\n",
            "1.5146024496328152 40.17880183468514\n",
            "1.5141560122602642 40.192064200292364\n",
            "1.5137097884985722 40.205320220137615\n",
            "1.5132637782455298 40.218569897257204\n",
            "1.5128179813989786 40.231813234685994\n",
            "1.5123723978568078 40.24505023545739\n",
            "1.5119270275169552 40.258280902603346\n",
            "1.511481870277409 40.27150523915437\n",
            "1.5110369260362044 40.28472324813953\n",
            "1.5105921946914265 40.297934932586415\n",
            "1.510147676141209 40.31114029552119\n",
            "1.5097033702837335 40.32433933996857\n",
            "1880\n",
            "Mean Square Error 244.03470278780753\n",
            "1.5092592770172322 40.3375320689518\n",
            "1.5088153962399837 40.35071848549272\n",
            "1.508371727850317 40.36389859261169\n",
            "1.5079282717466087 40.37707239332763\n",
            "1.507485027827285 40.39023989065803\n",
            "1.5070419959908197 40.403401087618924\n",
            "1.5065991761357356 40.4165559872249\n",
            "1.5061565681606044 40.42970459248912\n",
            "1.505714171964046 40.44284690642328\n",
            "1.5052719874447287 40.45598293203766\n",
            "1.5048300145013693 40.469112672341076\n",
            "1.5043882530327333 40.48223613034093\n",
            "1.5039467029376345 40.49535330904317\n",
            "1.5035053641149352 40.5084642114523\n",
            "1.5030642364635458 40.5215688405714\n",
            "1.5026233198824253 40.5346671994021\n",
            "1.5021826142705814 40.54775929094461\n",
            "1.5017421195270693 40.56084511819769\n",
            "1.5013018355509933 40.57392468415867\n",
            "1.5008617622415052 40.586997991823445\n",
            "1900\n",
            "Mean Square Error 240.58211560831487\n",
            "1.500421899497806 40.60006504418648\n",
            "1.4999822472191442 40.613125844240805\n",
            "1.4995428053048165 40.62618039497802\n",
            "1.4991035736541682 40.63922869938829\n",
            "1.4986645521665924 40.65227076046035\n",
            "1.4982257407415311 40.6653065811815\n",
            "1.4977871392784732 40.67833616453762\n",
            "1.4973487476769565 40.691359513513156\n",
            "1.496910565836567 40.70437663109113\n",
            "1.4964725936569376 40.71738752025313\n",
            "1.4960348310377511 40.73039218397933\n",
            "1.4955972778787365 40.743390625248466\n",
            "1.4951599340796717 40.75638284703785\n",
            "1.4947227995403827 40.769368852323375\n",
            "1.4942858741607425 40.782348644079505\n",
            "1.4938491578406732 40.79532222527928\n",
            "1.493412650480144 40.80828959889432\n",
            "1.4929763519791721 40.82125076789483\n",
            "1.4925402622378225 40.83420573524958\n",
            "1.4921043811562087 40.847154503925935\n",
            "1920\n",
            "Mean Square Error 237.19499520725577\n",
            "1.4916687086344906 40.86009707688982\n",
            "1.4912332445728775 40.87303345710576\n",
            "1.490797988871625 40.885963647536855\n",
            "1.4903629414310375 40.89888765114478\n",
            "1.4899281021514665 40.91180547088981\n",
            "1.4894934709333112 40.924717109730786\n",
            "1.4890590476770187 40.93762257062514\n",
            "1.488624832283084 40.95052185652889\n",
            "1.4881908246520485 40.963414970396634\n",
            "1.487757024684503 40.976301915181566\n",
            "1.4873234322810844 40.98918269383546\n",
            "1.4868900473424778 41.00205730930868\n",
            "1.4864568697694156 41.014925764550185\n",
            "1.4860238994626773 41.027788062507504\n",
            "1.4855911363230914 41.04064420612678\n",
            "1.4851585802515317 41.05349419835272\n",
            "1.484726231148921 41.06633804212865\n",
            "1.4842940889162295 41.07917574039646\n",
            "1.4838621534544736 41.092007296096654\n",
            "1.4834304246647176 41.10483271216832\n",
            "1940\n",
            "Mean Square Error 233.87210022594638\n",
            "1.4829989024480743 41.11765199154914\n",
            "1.482567586705702 41.130465137175385\n",
            "1.4821364773388075 41.14327215198194\n",
            "1.481705574248644 41.156073038902264\n",
            "1.4812748773365132 41.16886780086842\n",
            "1.4808443865037626 41.181656440811075\n",
            "1.480414101651788 41.194438961659486\n",
            "1.4799840226820316 41.20721536634151\n",
            "1.4795541494959834 41.219985657783596\n",
            "1.47912448199518 41.23274983891081\n",
            "1.4786950200812057 41.24550791264681\n",
            "1.4782657636556913 41.258259881913844\n",
            "1.4778367126203147 41.27100574963278\n",
            "1.4774078668768016 41.28374551872307\n",
            "1.4769792263269237 41.296479192102794\n",
            "1.4765507908725004 41.30920677268861\n",
            "1.4761225604153978 41.3219282633958\n",
            "1.4756945348575288 41.33464366713823\n",
            "1.4752667141008537 41.34735298682839\n",
            "1.4748390980473798 41.36005622537738\n",
            "1960\n",
            "Mean Square Error 230.61221284392127\n",
            "1.4744116865991599 41.37275338569488\n",
            "1.473984479658296 41.38544447068921\n",
            "1.4735574771269342 41.398129483267276\n",
            "1.4731306789072702 41.410808426334604\n",
            "1.4727040849015445 41.423481302795324\n",
            "1.4722776950120453 41.436148115552186\n",
            "1.4718515091411069 41.448808867506536\n",
            "1.4714255271911112 41.46146356155835\n",
            "1.4709997490644857 41.47411220060619\n",
            "1.470574174663706 41.48675478754726\n",
            "1.4701488038912933 41.499391325277365\n",
            "1.4697236366498156 41.512021816690925\n",
            "1.4692986728418875 41.524646264680975\n",
            "1.4688739123701704 41.53726467213916\n",
            "1.4684493551373727 41.549877041955746\n",
            "1.4680250010462486 41.562483377019625\n",
            "1.4676008499995987 41.57508368021829\n",
            "1.467176901900271 41.58767795443787\n",
            "1.4667531566511591 41.600266202563105\n",
            "1.4663296141552038 41.612848427477346\n",
            "1980\n",
            "Mean Square Error 227.41413833261126\n",
            "1.4659062743153919 41.625424632062575\n",
            "1.4654831370347565 41.63799481919939\n",
            "1.4650602022163777 41.65055899176702\n",
            "1.4646374697633813 41.66311715264331\n",
            "1.4642149395789394 41.67566930470472\n",
            "1.4637926115662716 41.68821545082634\n",
            "1.4633704856286422 41.700755593881894\n",
            "1.4629485616693632 41.71328973674372\n",
            "1.4625268395917916 41.725817882282776\n",
            "1.462105319299332 41.73834003336866\n",
            "1.461684000695434 41.75085619286959\n",
            "1.4612628836835937 41.763366363652416\n",
            "1.4608419681673541 41.77587054858261\n",
            "1.4604212540503034 41.78836875052428\n",
            "1.4600007412360765 41.80086097234015\n",
            "1.459580429628354 41.8133472168916\n",
            "1.4591603191308633 41.825827487038616\n",
            "1.458740409647377 41.83830178563982\n",
            "1.4583207010817143 41.85077011555248\n",
            "1.4579011933377404 41.86323247963248\n",
            "2000\n",
            "Mean Square Error 224.27670461748184\n",
            "1.457481886319366 41.87568888073435\n",
            "1.4570627799305482 41.88813932171125\n",
            "1.45664387407529 41.90058380541497\n",
            "1.4562251686576408 41.91302233469593\n",
            "1.4558066635816953 41.92545491240321\n",
            "1.455388358751594 41.93788154138451\n",
            "1.4549702540715228 41.95030222448617\n",
            "1.4545523494457155 41.96271696455317\n",
            "1.4541346447784496 41.975125764429116\n",
            "1.453717139974049 41.98752862695627\n",
            "1.453299834936884 41.99992555497553\n",
            "1.4528827295713698 42.012316551326435\n",
            "1.452465823781968 42.02470161884715\n",
            "1.452049117473186 42.037080760374515\n",
            "1.4516326105495756 42.049453978743976\n",
            "1.451216302915736 42.06182127678965\n",
            "1.4508001944763107 42.07418265734428\n",
            "1.4503842851359896 42.086538123239265\n",
            "1.4499685747995081 42.09888767730464\n",
            "1.4495530633716471 42.11123132236909\n",
            "2020\n",
            "Mean Square Error 221.19876184847467\n",
            "1.4491377507572327 42.12356906125996\n",
            "1.4487226368611374 42.13590089680321\n",
            "1.4483077215882783 42.14822683182348\n",
            "1.447893004843618 42.16054686914404\n",
            "1.447478486532166 42.172861011586825\n",
            "1.447064166558975 42.1851692619724\n",
            "1.446650044829145 42.19747162311999\n",
            "1.4462361212478207 42.20976809784747\n",
            "1.4458223957201923 42.22205868897137\n",
            "1.4454088681514952 42.23434339930688\n",
            "1.44499553844701 42.24662223166782\n",
            "1.4445824065120627 42.25889518886668\n",
            "1.4441694722520255 42.2711622737146\n",
            "1.4437567355723147 42.28342348902138\n",
            "1.4433441963783924 42.29567883759547\n",
            "1.4429318545757654 42.307928322243974\n",
            "1.4425197100699867 42.320171945772664\n",
            "1.4421077627666534 42.33240971098596\n",
            "1.4416960125714087 42.34464162068693\n",
            "1.4412844593899405 42.35686767767733\n",
            "2040\n",
            "Mean Square Error 218.17918197859674\n",
            "1.4408731031279816 42.36908788475755\n",
            "1.4404619436913104 42.38130224472665\n",
            "1.4400509809857502 42.39351076038235\n",
            "1.439640214917169 42.405713434521026\n",
            "1.4392296453914806 42.41791026993773\n",
            "1.438819272314643 42.43010126942616\n",
            "1.4384090955926596 42.44228643577868\n",
            "1.437999115131579 42.45446577178634\n",
            "1.4375893308374943 42.466639280238816\n",
            "1.437179742616544 42.478806963924484\n",
            "1.4367703503749107 42.49096882563037\n",
            "1.436361154018823 42.50312486814216\n",
            "1.4359521534545536 42.515275094244224\n",
            "1.4355433485884201 42.52741950671959\n",
            "1.4351347393267853 42.53955810834995\n",
            "1.4347263255760565 42.55169090191568\n",
            "1.4343181072426858 42.56381789019581\n",
            "1.43391008423317 42.575939075968044\n",
            "1.4335022564540512 42.58805446200877\n",
            "1.433094623811915 42.60016405109303\n",
            "2060\n",
            "Mean Square Error 215.21685835049564\n",
            "1.4326871862133932 42.612267845994545\n",
            "1.4322799435651614 42.62436584948571\n",
            "1.4318728957739397 42.636458064337596\n",
            "1.4314660427464936 42.64854449331994\n",
            "1.4310593843896322 42.66062513920116\n",
            "1.4306529206102103 42.67270000474834\n",
            "1.4302466513151264 42.684769092727265\n",
            "1.4298405764113236 42.69683240590237\n",
            "1.4294346958057902 42.70888994703677\n",
            "1.4290290094055584 42.72094171889228\n",
            "1.4286235171177053 42.73298772422936\n",
            "1.4282182188493517 42.74502796580718\n",
            "1.4278131145076638 42.75706244638358\n",
            "1.4274082039998517 42.769091168715065\n",
            "1.42700348723317 42.78111413555684\n",
            "1.4265989641149175 42.79313134966279\n",
            "1.4261946345524377 42.805142813785466\n",
            "1.4257904984531182 42.81714853067612\n",
            "1.425386555724391 42.82914850308469\n",
            "1.4249828062737322 42.841142733759774\n",
            "2080\n",
            "Mean Square Error 212.31070529087756\n",
            "1.4245792500086625 42.853131225448685\n",
            "1.4241758868367462 42.8651139808974\n",
            "1.423772716665593 42.877091002850584\n",
            "1.4233697394028555 42.8890622940516\n",
            "1.4229669549562316 42.90102785724249\n",
            "1.4225643632334626 42.912987695163984\n",
            "1.4221619641423342 42.9249418105555\n",
            "1.4217597575906764 42.936890206155155\n",
            "1.4213577434863631 42.94883288469975\n",
            "1.4209559217373122 42.96076984892476\n",
            "1.4205542922514858 42.97270110156439\n",
            "1.4201528549368896 42.9846266453515\n",
            "1.4197516097015743 42.996546483017646\n",
            "1.419350556453634 43.008460617293096\n",
            "1.4189496951012068 43.02036905090681\n",
            "1.418549025552474 43.03227178658642\n",
            "1.4181485477156626 43.04416882705828\n",
            "1.4177482614990418 43.05606017504741\n",
            "1.4173481668109258 43.06794583327756\n",
            "1.416948263559672 43.079825804471156\n",
            "2100\n",
            "Mean Square Error 209.45965771261524\n",
            "1.416548551653682 43.09170009134932\n",
            "1.416149031001401 43.103568696631875\n",
            "1.4157497015113183 43.115431623037345\n",
            "1.4153505630919672 43.12728887328296\n",
            "1.4149516156519235 43.13914045008463\n",
            "1.4145528590998084 43.150986356157\n",
            "1.4141542933442854 43.16282659421337\n",
            "1.413755918294063 43.174661166965784\n",
            "1.4133577338578924 43.18649007712496\n",
            "1.4129597399445688 43.19831332740033\n",
            "1.4125619364629314 43.210130920500035\n",
            "1.412164323321862 43.22194285913091\n",
            "1.4117669004302869 43.2337491459985\n",
            "1.411369667697176 43.24554978380706\n",
            "1.4109726250315422 43.25734477525953\n",
            "1.4105757723424426 43.26913412305759\n",
            "1.4101791095389768 43.2809178299016\n",
            "1.4097826365302895 43.292695898490635\n",
            "1.4093863532255668 43.304468331522486\n",
            "1.40899025953404 43.316235131693645\n",
            "2120\n",
            "Mean Square Error 206.66267072439942\n",
            "1.4085943553649833 43.32799630169932\n",
            "1.4081986406277138 43.339751844233426\n",
            "1.4078031152315926 43.35150176198859\n",
            "1.407407779086024 43.36324605765614\n",
            "1.4070126321004555 43.37498473392614\n",
            "1.406617674184378 43.38671779348735\n",
            "1.4062229052473258 43.39844523902724\n",
            "1.4058283251988766 43.410167073232\n",
            "1.405433933948651 43.42188329878655\n",
            "1.4050397314063132 43.43359391837449\n",
            "1.40464571748157 43.44529893467818\n",
            "1.4042518920841722 43.456998350378655\n",
            "1.4038582551239136 43.46869216815569\n",
            "1.4034648065106308 43.48038039068778\n",
            "1.4030715461542036 43.49206302065212\n",
            "1.4026784739645555 43.503740060724645\n",
            "1.402285589851652 43.51541151358\n",
            "1.401892893725503 43.527077381891544\n",
            "1.4015003854961605 43.53873766833137\n",
            "1.4011080650737198 43.55039237557028\n",
            "2140\n",
            "Mean Square Error 203.918719247793\n",
            "1.4007159323683196 43.56204150627781\n",
            "1.4003239872901412 43.573685063122205\n",
            "1.3999322297494083 43.58532304877045\n",
            "1.3995406596563889 43.596955465888236\n",
            "1.399149276921393 43.60858231713999\n",
            "1.3987580814547735 43.62020360518886\n",
            "1.3983670731669269 43.63181933269673\n",
            "1.397976251968292 43.64342950232419\n",
            "1.3975856177693502 43.655034116730576\n",
            "1.3971951704806262 43.66663317857394\n",
            "1.3968049100126878 43.67822669051107\n",
            "1.3964148362761448 43.68981465519747\n",
            "1.3960249491816503 43.701397075287396\n",
            "1.3956352486399 43.71297395343381\n",
            "1.3952457345616325 43.72454529228842\n",
            "1.3948564068576288 43.73611109450166\n",
            "1.3944672654387125 43.74767136272269\n",
            "1.3940783102157508 43.75922609959942\n",
            "1.3936895410996522 43.770775307778464\n",
            "1.3933009580013689 43.78231898990521\n",
            "2160\n",
            "Mean Square Error 201.22679764154532\n",
            "1.3929125608318949 43.79385714862374\n",
            "1.3925243495022674 43.80538978657689\n",
            "1.3921363239235662 43.816916906406234\n",
            "1.3917484840069134 43.82843851075208\n",
            "1.391360829663473 43.839954602253464\n",
            "1.390973360804453 43.851465183548164\n",
            "1.3905860773411025 43.86297025727271\n",
            "1.3901989791847136 43.874469826062345\n",
            "1.389812066246621 43.88596389255107\n",
            "1.3894253384382016 43.89745245937162\n",
            "1.3890387956708743 43.90893552915547\n",
            "1.3886524378561018 43.920413104532834\n",
            "1.3882662649053874 43.931885188132675\n",
            "1.3878802767302778 43.94335178258269\n",
            "1.387494473242362 43.95481289050932\n",
            "1.3871088543532706 43.966268514537745\n",
            "1.3867234199746774 43.9777186572919\n",
            "1.3863381700182977 43.989163321394464\n",
            "1.3859531043958897 44.00060250946685\n",
            "1.3855682230192532 44.012036224129226\n",
            "2180\n",
            "Mean Square Error 198.58591933303217\n",
            "1.3851835258002305 44.0234644680005\n",
            "1.3847990126507064 44.03488724369833\n",
            "1.3844146834826072 44.04630455383912\n",
            "1.3840305382079017 44.05771640103803\n",
            "1.383646576738601 44.06912278790895\n",
            "1.3832627989867579 44.08052371706455\n",
            "1.3828792048644676 44.09191919111622\n",
            "1.3824957942838672 44.10330921267411\n",
            "1.3821125671571355 44.11469378434713\n",
            "1.3817295233964946 44.126072908742934\n",
            "1.3813466629142066 44.137446588467924\n",
            "1.3809639856225775 44.148814826127264\n",
            "1.380581491433954 44.16017762432487\n",
            "1.3801991802607256 44.1715349856634\n",
            "1.3798170520153228 44.18288691274429\n",
            "1.3794351066102188 44.194233408167705\n",
            "1.3790533439579282 44.20557447453259\n",
            "1.3786717639710075 44.21691011443663\n",
            "1.3782903665620556 44.22824033047627\n",
            "1.3779091516437127 44.23956512524671\n",
            "2200\n",
            "Mean Square Error 195.99511645668244\n",
            "1.3775281191286606 44.25088450134192\n",
            "1.3771472689296236 44.26219846135462\n",
            "1.376766600959367 44.27350700787629\n",
            "1.3763861151306984 44.284810143497175\n",
            "1.3760058113564668 44.296107870806274\n",
            "1.3756256895495627 44.30740019239135\n",
            "1.3752457496229191 44.31868711083892\n",
            "1.37486599148951 44.32996862873429\n",
            "1.3744864150623506 44.341244748661495\n",
            "1.3741070202544992 44.352515473203354\n",
            "1.3737278069790542 44.36378080494144\n",
            "1.3733487751491562 44.37504074645611\n",
            "1.3729699246779876 44.38629530032645\n",
            "1.3725912554787718 44.39754446913035\n",
            "1.3722127674647744 44.40878825544445\n",
            "1.3718344605493018 44.420026661844155\n",
            "1.3714563346457018 44.43125969090364\n",
            "1.3710783896673648 44.44248734519584\n",
            "1.3707006255277216 44.45370962729249\n",
            "1.3703230421402444 44.46492653976405\n",
            "2220\n",
            "Mean Square Error 193.4534394992609\n",
            "1.3699456394184475 44.476138085179784\n",
            "1.3695684172758857 44.48734426610771\n",
            "1.3691913756261562 44.49854508511463\n",
            "1.368814514382897 44.509740544766096\n",
            "1.3684378334597869 44.52093064762646\n",
            "1.3680613327705469 44.532115396258824\n",
            "1.3676850122289386 44.54329479322508\n",
            "1.3673088717487656 44.55446884108588\n",
            "1.366932911243872 44.565637542400665\n",
            "1.3665571306281434 44.576800899727644\n",
            "1.3661815298155064 44.587958915623794\n",
            "1.3658061087199302 44.59911159264489\n",
            "1.3654308672554223 44.610258933345456\n",
            "1.3650558053360342 44.62140094027882\n",
            "1.364680922875857 44.63253761599707\n",
            "1.3643062197890232 44.64366896305109\n",
            "1.3639316959897063 44.65479498399053\n",
            "1.3635573513921213 44.66591568136381\n",
            "1.363183185910524 44.67703105771816\n",
            "1.3628091994592109 44.68814111559957\n",
            "2240\n",
            "Mean Square Error 190.95995695187702\n",
            "1.3624353919525198 44.69924585755282\n",
            "1.3620617633048298 44.71034528612146\n",
            "1.3616883134305602 44.72143940384784\n",
            "1.3613150422441722 44.732528213273085\n",
            "1.360941949660167 44.7436117169371\n",
            "1.3605690355930873 44.75468991737859\n",
            "1.3601962999575163 44.76576281713503\n",
            "1.3598237426680788 44.776830418742676\n",
            "1.3594513636394396 44.787892724736594\n",
            "1.3590791627863048 44.79894973765062\n",
            "1.358707140023421 44.810001460017375\n",
            "1.3583352952655756 44.821047894368284\n",
            "1.3579636284275973 44.832089043233545\n",
            "1.3575921394243553 44.84312490914215\n",
            "1.3572208281707594 44.854155494621885\n",
            "1.3568496945817594 44.865180802199326\n",
            "1.3564787385723474 44.87620083439983\n",
            "1.3561079600575552 44.88721559374756\n",
            "1.3557373589524548 44.898225082765464\n",
            "1.3553669351721604 44.90922930397528\n",
            "2260\n",
            "Mean Square Error 188.51375496859566\n",
            "1.354996688631825 44.92022825989755\n",
            "1.3546266192466432 44.9312219530516\n",
            "1.35425672693185 44.94221038595555\n",
            "1.353887011602721 44.95319356112632\n",
            "1.3535174731745723 44.964171481079624\n",
            "1.3531481115627608 44.975144148329974\n",
            "1.352778926682683 44.98611156539068\n",
            "1.352409918449777 44.99707373477384\n",
            "1.352041086779521 45.008030658990364\n",
            "1.3516724315874327 45.01898234054995\n",
            "1.351303952789072 45.0299287819611\n",
            "1.3509356503000374 45.040869985731106\n",
            "1.3505675240359691 45.05180595436608\n",
            "1.3501995739125472 45.062736690370926\n",
            "1.3498317998454914 45.07366219624934\n",
            "1.3494642017505636 45.084582474503826\n",
            "1.3490967795435636 45.09549752763569\n",
            "1.348729533140334 45.106407358145056\n",
            "1.3483624624567552 45.11731196853082\n",
            "1.3479955674087503 45.12821136129072\n",
            "2280\n",
            "Mean Square Error 186.1139370315145\n",
            "1.3476288479122802 45.13910553892126\n",
            "1.347262303883348 45.14999450391778\n",
            "1.346895935237996 45.16087825877442\n",
            "1.3465297418923066 45.17175680598411\n",
            "1.346163723762403 45.18263014803861\n",
            "1.3457978807644475 45.193498287428476\n",
            "1.3454322128146439 45.204361226643066\n",
            "1.345066719829235 45.21521896817056\n",
            "1.344701401724504 45.22607151449794\n",
            "1.3443362584167744 45.236918868111\n",
            "1.3439712898224092 45.247761031494335\n",
            "1.3436064958578124 45.258598007131376\n",
            "1.3432418764394263 45.26942979750434\n",
            "1.3428774314837353 45.28025640509426\n",
            "1.342513160907262 45.29107783238101\n",
            "1.3421490646265697 45.301894081843244\n",
            "1.3417851425582616 45.31270515595844\n",
            "1.3414213946189808 45.32351105720289\n",
            "1.3410578207254102 45.33431178805171\n",
            "1.340694420794273 45.345107350978815\n",
            "2300\n",
            "Mean Square Error 183.75962362219772\n",
            "1.3403311947423313 45.355897748456954\n",
            "1.3399681424863878 45.366682982957684\n",
            "1.339605263943285 45.377463056951385\n",
            "1.3392425590299042 45.38823797290725\n",
            "1.338880027663168 45.39900773329328\n",
            "1.3385176697600378 45.40977234057632\n",
            "1.338155485237515 45.42053179722201\n",
            "1.3377934740126405 45.43128610569483\n",
            "1.337431636002495 45.44203526845807\n",
            "1.337069971124199 45.45277928797384\n",
            "1.3367084792949124 45.463518166703075\n",
            "1.3363471604318353 45.47425190710554\n",
            "1.3359860144522064 45.48498051163981\n",
            "1.3356250412733053 45.495703982763295\n",
            "1.3352642408124498 45.50642232293222\n",
            "1.3349036129869987 45.51713553460163\n",
            "1.334543157714349 45.52784362022541\n",
            "1.3341828749119384 45.538546582256274\n",
            "1.3338227644972427 45.549244423145744\n",
            "1.3334628263877788 45.55993714534418\n",
            "2320\n",
            "Mean Square Error 181.44995189933775\n",
            "1.3331030605011018 45.57062475130076\n",
            "1.3327434667548075 45.58130724346351\n",
            "1.332384045066529 45.59198462427927\n",
            "1.3320247953539417 45.60265689619371\n",
            "1.3316657175347575 45.61332406165132\n",
            "1.3313068115267301 45.62398612309545\n",
            "1.330948077247651 45.63464308296825\n",
            "1.3305895146153512 45.645294943710724\n",
            "1.3302311235477022 45.655941707762686\n",
            "1.3298729039626132 45.6665833775628\n",
            "1.329514855778034 45.677219955548566\n",
            "1.3291569789119524 45.6878514441563\n",
            "1.3287992732823968 45.69847784582117\n",
            "1.3284417388074334 45.70909916297716\n",
            "1.328084375405169 45.71971539805711\n",
            "1.3277271829937485 45.73032655349268\n",
            "1.3273701614913567 45.74093263171438\n",
            "1.3270133108162168 45.75153363515154\n",
            "1.3266566308865921 45.762129566232346\n",
            "1.3263001216207841 45.77272042738381\n",
            "2340\n",
            "Mean Square Error 179.18407538252882\n",
            "1.3259437829371339 45.78330622103178\n",
            "1.3255876147540218 45.79388694960096\n",
            "1.3252316169898661 45.80446261551488\n",
            "1.3248757895631258 45.815033221195904\n",
            "1.324520132392298 45.82559876906526\n",
            "1.324164645395918 45.836159261542996\n",
            "1.3238093284925618 45.846714701048015\n",
            "1.3234541816008427 45.85726508999805\n",
            "1.3230992046394148 45.8678104308097\n",
            "1.322744397526969 45.87835072589838\n",
            "1.3223897601822363 45.88888597767836\n",
            "1.322035292523987 45.89941618856277\n",
            "1.3216809944710295 45.90994136096356\n",
            "1.321326865942211 45.92046149729154\n",
            "1.3209729068564178 45.93097659995637\n",
            "1.3206191171325754 45.94148667136654\n",
            "1.3202654966896472 45.95199171392942\n",
            "1.319912045446636 45.962491730051184\n",
            "1.3195587633225832 45.972986722136895\n",
            "1.3192056502365688 45.98347669259044\n",
            "2360\n",
            "Mean Square Error 176.96116364203783\n",
            "1.318852706107712 45.99396164381457\n",
            "1.3184999308551704 46.00444157821087\n",
            "1.3181473243981399 46.0149164981798\n",
            "1.3177948866558553 46.025386406120646\n",
            "1.317442617547591 46.03585130443156\n",
            "1.3170905169926583 46.046311195509546\n",
            "1.3167385849104085 46.05676608175046\n",
            "1.3163868212202305 46.06721596554901\n",
            "1.3160352258415529 46.07766084929876\n",
            "1.3156837986938414 46.088100735392125\n",
            "1.3153325396966018 46.09853562622038\n",
            "1.3149814487693772 46.108965524173655\n",
            "1.3146305258317499 46.11939043164093\n",
            "1.3142797708033402 46.12981035101005\n",
            "1.3139291836038072 46.14022528466772\n",
            "1.3135787641528482 46.15063523499949\n",
            "1.3132285123701992 46.161040204389785\n",
            "1.3128784281756345 46.17144019522187\n",
            "1.3125285114889667 46.18183520987789\n",
            "1.3121787622300465 46.19222525073883\n",
            "2380\n",
            "Mean Square Error 174.7804019944559\n",
            "1.3118291803187638 46.202610320184554\n",
            "1.3114797656750457 46.212990420593776\n",
            "1.3111305182188586 46.22336555434408\n",
            "1.3107814378702067 46.2337357238119\n",
            "1.3104325245491326 46.24410093137254\n",
            "1.3100837781757169 46.254461179400174\n",
            "1.3097351986700791 46.26481647026783\n",
            "1.309386785952376 46.27516680634741\n",
            "1.3090385399428037 46.28551219000966\n",
            "1.3086904605615952 46.29585262362423\n",
            "1.308342547729023 46.30618810955959\n",
            "1.3079948013653966 46.31651865018312\n",
            "1.3076472213910642 46.32684424786104\n",
            "1.3072998077264122 46.33716490495844\n",
            "1.3069525602918648 46.34748062383929\n",
            "1.3066054790078845 46.35779140686642\n",
            "1.3062585637949715 46.368097256401526\n",
            "1.305911814573665 46.37839817480519\n",
            "1.3055652312645405 46.38869416443685\n",
            "1.3052188137882135 46.39898522765482\n",
            "2400\n",
            "Mean Square Error 172.64099120412303\n",
            "1.3048725620653359 46.409271366816284\n",
            "1.304526476016598 46.4195525842773\n",
            "1.304180555562729 46.42982888239279\n",
            "1.3038348006244946 46.44010026351657\n",
            "1.3034892111226994 46.450366730001306\n",
            "1.3031437869781857 46.460628284198556\n",
            "1.3027985281118328 46.470884928458744\n",
            "1.3024534344445593 46.481136665131174\n",
            "1.3021085058973203 46.49138349656402\n",
            "1.3017637423911101 46.50162542510433\n",
            "1.3014191438469596 46.51186245309804\n",
            "1.3010747101859381 46.52209458288996\n",
            "1.3007304413291523 46.53232181682378\n",
            "1.3003863371977469 46.542544157242055\n",
            "1.3000423977129045 46.552761606486236\n",
            "1.299698622795845 46.56297416689664\n",
            "1.2993550123678261 46.573181840812474\n",
            "1.2990115663501436 46.58338463057182\n",
            "1.2986682846641304 46.593582538511654\n",
            "1.298325167231157 46.60377556696781\n",
            "2420\n",
            "Mean Square Error 170.54214719021275\n",
            "1.2979822139726325 46.61396371827503\n",
            "1.2976394248100023 46.62414699476692\n",
            "1.2972967996647502 46.63432539877597\n",
            "1.2969543384583972 46.644498932633574\n",
            "1.2966120411125022 46.65466759866999\n",
            "1.2962699075486612 46.664831399214364\n",
            "1.2959279376885082 46.67499033659474\n",
            "1.2955861314537143 46.685144413138026\n",
            "1.2952444887659884 46.695293631170046\n",
            "1.2949030095470762 46.70543799301548\n",
            "1.2945616937187618 46.715577500997924\n",
            "1.294220541202866 46.72571215743984\n",
            "1.2938795519212476 46.73584196466259\n",
            "1.293538725795802 46.745966924986426\n",
            "1.2931980627484625 46.756087040730485\n",
            "1.2928575627011998 46.76620231421279\n",
            "1.292517225576022 46.77631274775027\n",
            "1.2921770512949742 46.78641834365873\n",
            "1.2918370397801384 46.79651910425288\n",
            "1.291497190953635 46.80661503184631\n",
            "2440\n",
            "Mean Square Error 168.48310073937083\n",
            "1.2911575047376211 46.81670612875152\n",
            "1.2908179810542901 46.826792397279874\n",
            "1.290478619825875 46.83687383974166\n",
            "1.2901394209746435 46.84695045844605\n",
            "1.2898003844229018 46.857022255701104\n",
            "1.2894615100929934 46.867089233813786\n",
            "1.289122797907298 46.87715139508995\n",
            "1.2887842477882332 46.887208741834364\n",
            "1.2884458596582535 46.89726127635067\n",
            "1.288107633439851 46.90730900094142\n",
            "1.2877695690555535 46.91735191790805\n",
            "1.287431666427928 46.92739002955092\n",
            "1.2870939254795764 46.937423338169275\n",
            "1.286756346133139 46.947451846061256\n",
            "1.2864189283112926 46.957475555523914\n",
            "1.286081671936751 46.9674944688532\n",
            "1.285744576932265 46.97750858834395\n",
            "1.2854076432206227 46.987517916289924\n",
            "1.2850708707246488 46.99752245498377\n",
            "1.284734259367205 47.00752220671705\n",
            "2460\n",
            "Mean Square Error 166.46309722380465\n",
            "1.2843978090711898 47.01751717378022\n",
            "1.2840615197595389 47.02750735846264\n",
            "1.2837253913552245 47.03749276305258\n",
            "1.283389423781256 47.04747338983722\n",
            "1.2830536169606792 47.05744924110264\n",
            "1.2827179708165772 47.06742031913381\n",
            "1.2823824852720698 47.07738662621463\n",
            "1.2820471602503134 47.087348164627905\n",
            "1.2817119956745011 47.097304936655334\n",
            "1.2813769914678632 47.107256944577536\n",
            "1.281042147553666 47.11720419067403\n",
            "1.2807074638552136 47.12714667722326\n",
            "1.2803729402958453 47.13708440650256\n",
            "1.2800385767989384 47.147017380788185\n",
            "1.2797043732879065 47.15694560235529\n",
            "1.2793703296861998 47.16686907347797\n",
            "1.2790364459173045 47.176787796429196\n",
            "1.2787027219047449 47.18670177348088\n",
            "1.2783691575720797 47.19661100690382\n",
            "1.2780357528429067 47.206515498967754\n",
            "2480\n",
            "Mean Square Error 164.48139632471546\n",
            "1.2777025076408581 47.21641525194132\n",
            "1.2773694218896041 47.22631026809207\n",
            "1.2770364955128506 47.23620054968648\n",
            "1.2767037284343403 47.24608609898993\n",
            "1.2763711205778523 47.255966918266715\n",
            "1.2760386718672025 47.26584300978006\n",
            "1.2757063822262424 47.275714375792106\n",
            "1.2753742515788613 47.285581018563896\n",
            "1.2750422798489836 47.2954429403554\n",
            "1.2747104669605707 47.30530014342551\n",
            "1.2743788128376206 47.315152630032046\n",
            "1.2740473174041667 47.32500040243172\n",
            "1.2737159805842801 47.33484346288019\n",
            "1.2733848023020673 47.344681813632015\n",
            "1.2730537824816714 47.354515456940696\n",
            "1.2727229210472717 47.364344395058644\n",
            "1.2723922179230838 47.37416863023719\n",
            "1.2720616730333596 47.383988164726595\n",
            "1.2717312863023875 47.39380300077603\n",
            "1.2714010576544919 47.40361314063361\n",
            "2500\n",
            "Mean Square Error 162.53727176097655\n",
            "1.271070987014033 47.413418586546356\n",
            "1.270741074305408 47.42321934076023\n",
            "1.2704113194530495 47.4330154055201\n",
            "1.2700817223814267 47.442806783069784\n",
            "1.2697522830150447 47.452593475652\n",
            "1.2694230012784455 47.46237548550842\n",
            "1.269093877096206 47.472152814879614\n",
            "1.2687649103929397 47.48192546600511\n",
            "1.2684361010932965 47.49169344112334\n",
            "1.268107449121962 47.501456742471674\n",
            "1.2677789544036582 47.511215372286415\n",
            "1.2674506168631423 47.5209693328028\n",
            "1.2671224364252085 47.53071862625498\n",
            "1.2667944130146862 47.54046325487605\n",
            "1.2664665465564415 47.550203220898034\n",
            "1.2661388369753759 47.55993852655189\n",
            "1.2658112841964266 47.5696691740675\n",
            "1.2654838881445676 47.57939516567369\n",
            "1.265156648744808 47.589116503598206\n",
            "1.264829565922193 47.598833190067744\n",
            "2520\n",
            "Mean Square Error 160.63001102295573\n",
            "1.2645026396018044 47.60854522730793\n",
            "1.2641758697087582 47.61825261754331\n",
            "1.2638492561682082 47.62795536299739\n",
            "1.2635227989053421 47.63765346589259\n",
            "1.2631964978453853 47.64734692845028\n",
            "1.2628703529135972 47.65703575289077\n",
            "1.262544364035274 47.66671994143329\n",
            "1.2622185311357477 47.67639949629603\n",
            "1.2618928541403855 47.6860744196961\n",
            "1.2615673329745904 47.695744713849564\n",
            "1.2612419675638014 47.705410380971415\n",
            "1.2609167578334928 47.71507142327559\n",
            "1.2605917037091754 47.724727842974964\n",
            "1.2602668051163943 47.73437964228136\n",
            "1.2599420619807313 47.744026823405534\n",
            "1.2596174742278037 47.75366938855719\n",
            "1.2592930417832635 47.76330733994498\n",
            "1.2589687645727996 47.77294067977649\n",
            "1.258644642522135 47.78256941025825\n",
            "1.2583206755570295 47.79219353359573\n",
            "2540\n",
            "Mean Square Error 158.75891511138542\n",
            "1.2579968636032783 47.801813051993356\n",
            "1.2576732065867111 47.8114279676545\n",
            "1.2573497044331938 47.82103828278147\n",
            "1.257026357068628 47.83064399957553\n",
            "1.2567031644189504 47.84024512023687\n",
            "1.2563801264101329 47.84984164696466\n",
            "1.2560572429681833 47.85943358195699\n",
            "1.2557345140191447 47.869020927410915\n",
            "1.2554119394890955 47.87860368552243\n",
            "1.2550895193041491 47.888181858486476\n",
            "1.2547672533904553 47.89775544849696\n",
            "1.2544451416741975 47.90732445774672\n",
            "1.2541231840815967 47.91688888842755\n",
            "1.2538013805389074 47.92644874273021\n",
            "1.25347973097242 47.936004022844386\n",
            "1.2531582353084603 47.94555473095875\n",
            "1.2528368934733887 47.95510086926089\n",
            "1.252515705393602 47.96464243993737\n",
            "1.252194670995531 47.974179445173704\n",
            "1.2518737902056425 47.98371188715436\n",
            "2560\n",
            "Mean Square Error 156.92329828118326\n",
            "1.2515530629504383 47.99323976806275\n",
            "1.2512324891564552 48.00276309008127\n",
            "1.250912068750265 48.01228185539123\n",
            "1.2505918016584754 48.02179606617293\n",
            "1.2502716878077285 48.03130572460562\n",
            "1.2499517271247012 48.0408108328675\n",
            "1.2496319195361065 48.05031139313573\n",
            "1.2493122649686919 48.059807407586426\n",
            "1.2489927633492397 48.06929887839467\n",
            "1.248673414604568 48.07878580773449\n",
            "1.2483542186615293 48.088268197778895\n",
            "1.2480351754470107 48.09774605069983\n",
            "1.2477162848879355 48.107219368668225\n",
            "1.2473975469112613 48.11668815385396\n",
            "1.24707896144398 48.12615240842586\n",
            "1.2467605284131196 48.13561213455174\n",
            "1.2464422477457422 48.14506733439836\n",
            "1.2461241193689454 48.15451801013146\n",
            "1.245806143209861 48.16396416391572\n",
            "1.2454883191956567 48.1734057979148\n",
            "2580\n",
            "Mean Square Error 155.12248779013032\n",
            "1.2451706472535338 48.18284291429133\n",
            "1.244853127310729 48.19227551520689\n",
            "1.244535759294514 48.20170360282203\n",
            "1.2442185431321953 48.21112717929627\n",
            "1.243901478751114 48.2205462467881\n",
            "1.2435845660786453 48.22996080745498\n",
            "1.2432678050422006 48.23937086345332\n",
            "1.2429511955692252 48.248776416938504\n",
            "1.2426347375871987 48.2581774700649\n",
            "1.2423184310236364 48.26757402498583\n",
            "1.2420022758060878 48.27696608385359\n",
            "1.2416862718621362 48.28635364881944\n",
            "1.2413704191194017 48.29573672203364\n",
            "1.2410547175055362 48.30511530564537\n",
            "1.2407391669482288 48.31448940180283\n",
            "1.240423767375202 48.323859012653166\n",
            "1.2401085187142125 48.3332241403425\n",
            "1.2397934208930526 48.34258478701594\n",
            "1.2394784738395483 48.351940954817536\n",
            "1.2391636774815609 48.36129264589035\n",
            "2600\n",
            "Mean Square Error 153.35582365231627\n",
            "1.2388490317469851 48.37063986237641\n",
            "1.2385345365637512 48.37998260641669\n",
            "1.2382201918598237 48.389320880151175\n",
            "1.237905997563201 48.39865468571881\n",
            "1.2375919536019167 48.40798402525751\n",
            "1.2372780599040385 48.41730890090419\n",
            "1.2369643163976685 48.42662931479472\n",
            "1.2366507230109431 48.43594526906395\n",
            "1.2363372796720333 48.44525676584573\n",
            "1.2360239863091445 48.45456380727286\n",
            "1.235710842850516 48.46386639547714\n",
            "1.2353978492244222 48.473164532589344\n",
            "1.235085005359171 48.48245822073922\n",
            "1.2347723111831055 48.49174746205551\n",
            "1.234459766624602 48.50103225866592\n",
            "1.2341473716120719 48.510312612697156\n",
            "1.233835126073961 48.519588526274894\n",
            "1.2335230299387483 48.5288600015238\n",
            "1.233211083134948 48.538127040567524\n",
            "1.2328992855911083 48.54738964552869\n",
            "2620\n",
            "Mean Square Error 151.62265839625806\n",
            "1.2325876372358113 48.556647818528916\n",
            "1.2322761379976732 48.5659015616888\n",
            "1.231964787805345 48.575150877127925\n",
            "1.2316535865875111 48.58439576696487\n",
            "1.2313425342728908 48.593636233317184\n",
            "1.2310316307902363 48.60287227830141\n",
            "1.2307208760683355 48.61210390403309\n",
            "1.230410270036009 48.621331112626734\n",
            "1.2300998126221119 48.63055390619585\n",
            "1.229789503755534 48.63977228685294\n",
            "1.2294793433651976 48.648986256709485\n",
            "1.229169331380061 48.658195817875956\n",
            "1.2288594677291147 48.66740097246183\n",
            "1.2285497523413842 48.67660172257555\n",
            "1.2282401851459286 48.685798070324566\n",
            "1.227930766071841 48.69499001781532\n",
            "1.2276214950482487 48.704177567153245\n",
            "1.2273123720043124 48.71336072044276\n",
            "1.227003396869227 48.72253947978728\n",
            "1.2266945695722216 48.731713847289214\n",
            "2640\n",
            "Mean Square Error 149.92235682760528\n",
            "1.2263858900425582 48.74088382504997\n",
            "1.2260773582095337 48.75004941516995\n",
            "1.225768974002478 48.759210619748536\n",
            "1.2254607373507556 48.76836744088413\n",
            "1.225152648183764 48.777519880674106\n",
            "1.2248447064309353 48.78666794121485\n",
            "1.2245369120217344 48.79581162460175\n",
            "1.224229264885661 48.80495093292916\n",
            "1.2239217649522478 48.81408586829047\n",
            "1.2236144121510613 48.82321643277805\n",
            "1.223307206411702 48.83234262848326\n",
            "1.223000147663804 48.841464457496485\n",
            "1.2226932358370348 48.850581921907086\n",
            "1.2223864708610959 48.85969502380344\n",
            "1.222079852665722 48.86880376527291\n",
            "1.2217733811806821 48.87790814840187\n",
            "1.221467056335778 48.8870081752757\n",
            "1.2211608780608458 48.89610384797877\n",
            "1.2208548462857547 48.90519516859447\n",
            "1.2205489609404077 48.91428213920516\n",
            "2660\n",
            "Mean Square Error 148.2542957963465\n",
            "1.2202432219547412 48.923364761892245\n",
            "1.2199376292587252 48.9324430387361\n",
            "1.2196321827823633 48.941516971816135\n",
            "1.2193268824556922 48.95058656321074\n",
            "1.2190217282087827 48.95965181499732\n",
            "1.2187167199717386 48.96871272925229\n",
            "1.218411857674697 48.97776930805106\n",
            "1.2181071412478293 48.98682155346806\n",
            "1.2178025706213387 48.995869467576725\n",
            "1.2174981457254637 49.00491305244949\n",
            "1.217193866490475 49.0139523101578\n",
            "1.216889732846677 49.02298724277211\n",
            "1.2165857447244073 49.032017852361896\n",
            "1.2162819020540367 49.04104414099563\n",
            "1.21597820476597 49.050066110740794\n",
            "1.2156746527906446 49.05908376366389\n",
            "1.2153712460585313 49.068097101830425\n",
            "1.2150679845001344 49.077106127304916\n",
            "1.2147648680459917 49.0861108421509\n",
            "1.2144618966266731 49.09511124843092\n",
            "2680\n",
            "Mean Square Error 146.61786396842714\n",
            "1.2141590701727831 49.10410734820653\n",
            "1.2138563886149587 49.11309914353831\n",
            "1.2135538518838702 49.12208663648583\n",
            "1.2132514599102207 49.13106982910771\n",
            "1.2129492126247474 49.140048723461554\n",
            "1.2126471099582194 49.14902332160399\n",
            "1.2123451518414403 49.15799362559067\n",
            "1.2120433382052458 49.16695963747625\n",
            "1.2117416689805047 49.17592135931442\n",
            "1.2114401440981197 49.18487879315787\n",
            "1.2111387634890256 49.19383194105832\n",
            "1.2108375270841907 49.2027808050665\n",
            "1.2105364348146164 49.211725387232164\n",
            "1.2102354866113372 49.220665689604076\n",
            "1.2099346824054205 49.229601714230036\n",
            "1.2096340221279658 49.23853346315685\n",
            "1.2093335057101076 49.24746093843035\n",
            "1.2090331330830109 49.25638414209539\n",
            "1.2087329041778756 49.26530307619585\n",
            "1.2084328189259337 49.27421774277462\n",
            "2700\n",
            "Mean Square Error 145.0124616017005\n",
            "1.2081328772584499 49.28312814387362\n",
            "1.2078330791067222 49.29203428153379\n",
            "1.2075334244020814 49.30093615779509\n",
            "1.2072339130758913 49.30983377469653\n",
            "1.206934545059548 49.3187271342761\n",
            "1.2066353202844808 49.32761623857086\n",
            "1.206336238682152 49.33650108961686\n",
            "1.206037300184056 49.34538168944919\n",
            "1.2057385047217213 49.354258040101975\n",
            "1.2054398522267071 49.36313014360835\n",
            "1.2051413426306075 49.37199800200049\n",
            "1.2048429758650483 49.380861617309584\n",
            "1.2045447518616876 49.389720991565866\n",
            "1.2042466705522172 49.39857612679859\n",
            "1.2039487318683608 49.40742702503603\n",
            "1.2036509357418754 49.41627368830551\n",
            "1.2033532821045496 49.42511611863336\n",
            "1.2030557708882064 49.43395431804497\n",
            "1.2027584020246995 49.44278828856473\n",
            "1.2024611754459165 49.45161803221608\n",
            "2720\n",
            "Mean Square Error 143.4375003261254\n",
            "1.2021640910837768 49.46044355102149\n",
            "1.201867148870233 49.469264847002464\n",
            "1.2015703487372698 49.47808192217953\n",
            "1.2012736906169048 49.48689477857224\n",
            "1.2009771744411881 49.49570341819921\n",
            "1.2006808001422022 49.50450784307807\n",
            "1.2003845676520617 49.51330805522549\n",
            "1.2000884769029143 49.52210405665716\n",
            "1.19979252782694 49.53089584938784\n",
            "1.199496720356351 49.539683435431286\n",
            "1.199201054423392 49.548466816800314\n",
            "1.1989055299603408 49.557245995506776\n",
            "1.1986101468995063 49.56602097356156\n",
            "1.1983149051732311 49.574791752974576\n",
            "1.1980198047138892 49.583558335754795\n",
            "1.197724845453888 49.59232072391022\n",
            "1.1974300273256655 49.601078919447886\n",
            "1.1971353502616942 49.60983292437387\n",
            "1.1968408141944773 49.61858274069329\n",
            "1.196546419056551 49.62732837041032\n",
            "2740\n",
            "Mean Square Error 141.89240292813213\n",
            "1.1962521647804831 49.63606981552814\n",
            "1.1959580512988752 49.644807078049006\n",
            "1.195664078544359 49.6535401599742\n",
            "1.1953702464496003 49.662269063304045\n",
            "1.1950765549472964 49.67099379003791\n",
            "1.1947830039701763 49.679714342174215\n",
            "1.1944895934510023 49.68843072171042\n",
            "1.1941963233225672 49.69714293064301\n",
            "1.193903193517698 49.705850970967546\n",
            "1.1936102039692522 49.71455484467861\n",
            "1.1933173546101208 49.72325455376984\n",
            "1.1930246453732254 49.731950100233924\n",
            "1.1927320761915208 49.740641486062586\n",
            "1.1924396469979934 49.749328713246605\n",
            "1.1921473577256623 49.7580117837758\n",
            "1.1918552083075775 49.76669069963905\n",
            "1.191563198676822 49.77536546282427\n",
            "1.1912713287665107 49.784036075318426\n",
            "1.19097959850979 49.792702539107545\n",
            "1.1906880078398387 49.80136485617669\n",
            "2760\n",
            "Mean Square Error 140.37660313907816\n",
            "1.1903965566898673 49.810023028509974\n",
            "1.190105244993119 49.81867705809057\n",
            "1.1898140726828679 49.827326946900705\n",
            "1.1895230396924206 49.83597269692164\n",
            "1.1892321459551156 49.84461431013369\n",
            "1.1889413914043232 49.85325178851625\n",
            "1.1886507759734455 49.861885134047746\n",
            "1.1883602995959164 49.87051434870565\n",
            "1.1880699622052024 49.8791394344665\n",
            "1.1877797637348004 49.887760393305896\n",
            "1.1874897041182406 49.89637722719847\n",
            "1.1871997832890842 49.90498993811793\n",
            "1.1869100011809244 49.91359852803703\n",
            "1.186620357727386 49.922202998927574\n",
            "1.1863308528621257 49.93080335276044\n",
            "1.186041486518832 49.939399591505556\n",
            "1.185752258631225 49.94799171713189\n",
            "1.1854631691330568 49.9565797316075\n",
            "1.1851742179581106 49.96516363689947\n",
            "1.1848854050402022 49.97374343497396\n",
            "2780\n",
            "Mean Square Error 138.88954542771296\n",
            "1.184596730313178 49.982319127796195\n",
            "1.1843081937109168 49.990890717330444\n",
            "1.1840197951673288 49.99945820554005\n",
            "1.1837315346163557 50.00802159438741\n",
            "1.1834434119919712 50.016580885833974\n",
            "1.1831554272281801 50.025136081840266\n",
            "1.1828675802590194 50.033687184365874\n",
            "1.1825798710185567 50.04223419536943\n",
            "1.1822922994408922 50.05077711680865\n",
            "1.182004865460157 50.05931595064031\n",
            "1.1817175690105137 50.06785069882023\n",
            "1.1814304100261568 50.07638136330331\n",
            "1.1811433884413123 50.08490794604352\n",
            "1.1808565041902368 50.093430448993885\n",
            "1.1805697572072196 50.1019488741065\n",
            "1.1802831474265802 50.110463223332516\n",
            "1.179996674782671 50.11897349862217\n",
            "1.179710339209874 50.12747970192475\n",
            "1.1794241406426043 50.135981835188616\n",
            "1.179138079015307 50.14447990036119\n",
            "2800\n",
            "Mean Square Error 137.43068479657975\n",
            "1.1788521542624602 50.152973899388975\n",
            "1.1785663663185715 50.161463834217535\n",
            "1.1782807151181809 50.1699497067915\n",
            "1.1779952005958598 50.17843151905458\n",
            "1.1777098226862102 50.186909272949535\n",
            "1.1774245813238662 50.19538297041822\n",
            "1.1771394764434926 50.203852613401544\n",
            "1.1768545079797859 50.212318203839494\n",
            "1.1765696758674733 50.22077974367113\n",
            "1.1762849800413133 50.22923723483458\n",
            "1.1760004204360968 50.23769067926704\n",
            "1.175715996986644 50.246140078904794\n",
            "1.1754317096278075 50.25458543568319\n",
            "1.1751475582944713 50.26302675153665\n",
            "1.174863542921549 50.27146402839867\n",
            "1.1745796634439878 50.279897268201815\n",
            "1.1742959197967637 50.28832647287774\n",
            "1.1740123119148849 50.29675164435717\n",
            "1.1737288397333907 50.305172784569905\n",
            "1.1734455031873512 50.313589895444814\n",
            "2820\n",
            "Mean Square Error 135.99948658227743\n",
            "1.173162302211868 50.32200297890986\n",
            "1.1728792367420728 50.330412036892064\n",
            "1.1725963067131298 50.338817071317536\n",
            "1.1723135120602328 50.34721808411147\n",
            "1.1720308527186074 50.355615077198124\n",
            "1.17174832862351 50.36400805250084\n",
            "1.1714659397102283 50.372397011942056\n",
            "1.1711836859140803 50.38078195744327\n",
            "1.1709015671704153 50.389162890925064\n",
            "1.1706195834146138 50.39753981430711\n",
            "1.1703377345820867 50.40591272950815\n",
            "1.1700560206082762 50.41428163844603\n",
            "1.1697744414286548 50.422646543037644\n",
            "1.169492996978727 50.43100744519899\n",
            "1.1692116871940272 50.43936434684516\n",
            "1.1689305120101208 50.4477172498903\n",
            "1.1686494713626043 50.456066156247665\n",
            "1.1683685651871052 50.46441106782958\n",
            "1.168087793419281 50.472751986547465\n",
            "1.1678071559948207 50.48108891431182\n",
            "2840\n",
            "Mean Square Error 134.59542625950965\n",
            "1.1675266528494435 50.489421853032226\n",
            "1.1672462839189004 50.49775080461737\n",
            "1.1669660491389715 50.506075770975\n",
            "1.1666859484454692 50.51439675401197\n",
            "1.1664059817742363 50.52271375563421\n",
            "1.166126149061145 50.531026777746746\n",
            "1.1658464502420998 50.53933582225369\n",
            "1.165566885253035 50.54764089105824\n",
            "1.1652874540299156 50.55594198606269\n",
            "1.165008156508738 50.56423910916841\n",
            "1.1647289926255286 50.57253226227588\n",
            "1.1644499623163438 50.580821447284656\n",
            "1.1641710655172717 50.589106666093386\n",
            "1.1638923021644307 50.59738792059982\n",
            "1.163613672193969 50.60566521270079\n",
            "1.1633351755420662 50.613938544292225\n",
            "1.1630568121449327 50.62220791726914\n",
            "1.1627785819388083 50.63047333352565\n",
            "1.162500484859964 50.63873479495496\n",
            "1.1622225208447017 50.64699230344938\n",
            "2860\n",
            "Mean Square Error 133.21798924884936\n",
            "1.1619446898293526 50.6552458609003\n",
            "1.1616669917502793 50.66349546919822\n",
            "1.1613894265438747 50.67174113023271\n",
            "1.161111994146562 50.67998284589246\n",
            "1.160834694494795 50.68822061806525\n",
            "1.1605575275250573 50.69645444863796\n",
            "1.1602804931738637 50.70468433949655\n",
            "1.1600035913777589 50.712910292526104\n",
            "1.1597268220733181 50.72113230961077\n",
            "1.1594501851971473 50.72935039263384\n",
            "1.1591736806858817 50.73756454347766\n",
            "1.1588973084761878 50.7457747640237\n",
            "1.158621068504762 50.753981056152526\n",
            "1.1583449607083314 50.762183421743806\n",
            "1.1580689850236523 50.7703818626763\n",
            "1.1577931413875127 50.77857638082788\n",
            "1.15751742973673 50.786766978075505\n",
            "1.1572418500081518 50.794953656295256\n",
            "1.1569664021386563 50.803136417362296\n",
            "1.1566910860651518 50.8113152631509\n",
            "2880\n",
            "Mean Square Error 131.8666707281491\n",
            "1.1564159017245765 50.819490195534456\n",
            "1.156140849053899 50.82766121638544\n",
            "1.155865927990118 50.83582832757543\n",
            "1.1555911384702626 50.843991530975124\n",
            "1.1553164804313916 50.85215082845432\n",
            "1.1550419538105938 50.86030622188191\n",
            "1.1547675585449892 50.86845771312591\n",
            "1.1544932945717266 50.87660530405343\n",
            "1.1542191618279856 50.884748996530675\n",
            "1.1539451602509758 50.89288879242299\n",
            "1.153671289777936 50.9010246935948\n",
            "1.1533975503461364 50.909156701909644\n",
            "1.1531239418928763 50.91728481923018\n",
            "1.1528504643554849 50.925409047418164\n",
            "1.1525771176713224 50.933529388334456\n",
            "1.1523039017777779 50.94164584383904\n",
            "1.152030816612271 50.94975841579101\n",
            "1.1517578621122504 50.95786710604855\n",
            "1.1514850382151967 50.96597191646898\n",
            "1.151212344858618 50.97407284890872\n",
            "2900\n",
            "Mean Square Error 130.54097544752625\n",
            "1.1509397819800538 50.982169905223294\n",
            "1.1506673495170734 50.99026308726735\n",
            "1.1503950474072755 50.998352396894646\n",
            "1.1501228755882889 51.006437835958046\n",
            "1.149850833997772 51.01451940630954\n",
            "1.1495789225734137 51.02259710980022\n",
            "1.1493071412529314 51.0306709482803\n",
            "1.1490354899740742 51.03874092359911\n",
            "1.1487639686746192 51.04680703760508\n",
            "1.1484925772923742 51.054869292145774\n",
            "1.1482213157651764 51.06292768906787\n",
            "1.1479501840308932 51.07098223021715\n",
            "1.1476791820274213 51.07903291743852\n",
            "1.1474083096926868 51.087079752576\n",
            "1.1471375669646469 51.09512273747274\n",
            "1.1468669537812866 51.103161873971\n",
            "1.1465964700806222 51.11119716391214\n",
            "1.1463261158006985 51.11922860913667\n",
            "1.1460558908795908 51.1272562114842\n",
            "1.1457857952554034 51.13527997279348\n",
            "2920\n",
            "Mean Square Error 129.2404175478572\n",
            "1.1455158288662701 51.14329989490235\n",
            "1.1452459916503552 51.15131597964779\n",
            "1.144976283545852 51.1593282288659\n",
            "1.1447067044909829 51.167336644391895\n",
            "1.1444372544240013 51.17534122806012\n",
            "1.1441679332831884 51.18334198170403\n",
            "1.1438987410068562 51.19133890715622\n",
            "1.1436296775333454 51.1993320062484\n",
            "1.143360742801027 51.20732128081139\n",
            "1.1430919367483006 51.21530673267516\n",
            "1.142823259313596 51.223288363668786\n",
            "1.1425547104353722 51.231266175620476\n",
            "1.1422862900521173 51.239240170357554\n",
            "1.1420179981023497 51.247210349706485\n",
            "1.1417498345246164 51.255176715492844\n",
            "1.1414817992574942 51.26313926954135\n",
            "1.1412138922395887 51.271098013675825\n",
            "1.1409461134095362 51.279052949719244\n",
            "1.140678462706001 51.28700407949369\n",
            "1.1404109400676774 51.294951404820395\n",
            "2940\n",
            "Mean Square Error 127.9645203827131\n",
            "1.1401435454332884 51.302894927519695\n",
            "1.139876278741588 51.31083464941107\n",
            "1.139609139931357 51.31877057231313\n",
            "1.1393421289414076 51.326702698043604\n",
            "1.1390752457105802 51.334631028419366\n",
            "1.138808490177745 51.34255556525641\n",
            "1.1385418622818009 51.350476310369864\n",
            "1.1382753619616768 51.35839326557399\n",
            "1.1380089891563299 51.36630643268217\n",
            "1.1377427438047472 51.37421581350694\n",
            "1.1374766258459448 51.382121409859955\n",
            "1.137210635218968 51.390023223552\n",
            "1.1369447718628911 51.397921256393\n",
            "1.1366790357168177 51.40581551019201\n",
            "1.1364134267198809 51.41370598675722\n",
            "1.1361479448112417 51.421592687895966\n",
            "1.1358825899300917 51.42947561541471\n",
            "1.1356173620156504 51.43735477111904\n",
            "1.1353522610071676 51.44523015681369\n",
            "1.1350872868439208 51.45310177430254\n",
            "2960\n",
            "Mean Square Error 126.71281634367206\n",
            "1.1348224394652178 51.460969625388586\n",
            "1.1345577188103946 51.468833711873984\n",
            "1.1342931248188162 51.47669403556001\n",
            "1.1340286574298772 51.484550598247075\n",
            "1.1337643165830011 51.49240340173475\n",
            "1.13350010221764 51.50025244782173\n",
            "1.133236014273275 51.50809773830585\n",
            "1.1329720526894167 51.515939274984085\n",
            "1.132708217405604 51.52377705965255\n",
            "1.1324445083614052 51.531611094106516\n",
            "1.1321809254964168 51.53944138014037\n",
            "1.1319174687502653 51.54726791954765\n",
            "1.131654138062605 51.55509071412104\n",
            "1.1313909333731202 51.56290976565237\n",
            "1.131127854621523 51.5707250759326\n",
            "1.130864901747555 51.57853664675184\n",
            "1.130602074690986 51.58634447989935\n",
            "1.1303393733916152 51.59414857716352\n",
            "1.1300767977892707 51.601948940331894\n",
            "1.1298143478238092 51.609745571191155\n",
            "2980\n",
            "Mean Square Error 125.48484668894285\n",
            "1.1295520234351155 51.61753847152713\n",
            "1.1292898245631044 51.62532764312481\n",
            "1.1290277511477185 51.63311308776831\n",
            "1.1287658031289296 51.6408948072409\n",
            "1.1285039804467376 51.648672803324985\n",
            "1.1282422830411725 51.65644707780214\n",
            "1.1279807108522912 51.664217632453074\n",
            "1.1277192638201807 51.67198446905764\n",
            "1.1274579418849557 51.67974758939485\n",
            "1.1271967449867606 51.68750699524286\n",
            "1.126935673065767 51.695262688378975\n",
            "1.1266747260621766 51.70301467057964\n",
            "1.1264139039162187 51.71076294362047\n",
            "1.1261532065681517 51.71850750927622\n",
            "1.1258926339582624 51.726248369320786\n",
            "1.1256321860268665 51.73398552552723\n",
            "1.1253718627143074 51.74171897966776\n",
            "1.1251116639609584 51.74944873351374\n",
            "1.1248515897072198 51.75717478883568\n",
            "1.1245916398935214 51.76489714740324\n",
            "1.1245916398935214 51.76489714740324\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}