diff --git a/Gold Price Analysis and Prediction/Dataset/future-gc00-daily-prices.csv b/Gold Price Analysis and Prediction/Dataset/future-gc00-daily-prices.csv new file mode 100644 index 000000000..26732bb06 --- /dev/null +++ b/Gold Price Analysis and Prediction/Dataset/future-gc00-daily-prices.csv @@ -0,0 +1,3704 @@ +Date,Open,High,Low,Close +01/02/2013,"1,676.40","1,695.40","1,670.90","1,688.80" +01/02/2014,"1,204.50","1,230.80","1,202.50","1,225.20" +01/02/2015,"1,184.00","1,194.90","1,167.30","1,186.20" +01/02/2018,"1,305.30","1,320.40","1,304.60","1,316.10" +01/02/2019,"1,285.00","1,291.00","1,280.60","1,284.10" +01/02/2020,"1,521.00","1,534.00","1,519.70","1,528.10" +01/02/2024,"2,072.70","2,088.10","2,064.30","2,073.40" +01/03/2011,"1,420.40","1,424.40","1,413.10","1,422.90" +01/03/2012,"1,571.00","1,608.70","1,566.80","1,600.50" +01/03/2013,"1,686.20","1,690.50","1,661.20","1,674.60" +01/03/2014,"1,222.30","1,239.60","1,221.30","1,238.60" +01/03/2017,"1,151.40","1,166.00","1,146.50","1,162.00" +01/03/2018,"1,319.00","1,323.00","1,308.90","1,318.50" +01/03/2019,"1,288.50","1,296.90","1,286.40","1,294.80" +01/03/2020,"1,531.70","1,556.60","1,530.40","1,552.40" +01/03/2022,"1,830.10","1,833.00","1,798.20","1,800.10" +01/03/2023,"1,831.80","1,856.60","1,831.30","1,846.10" +01/03/2024,"2,067.90","2,074.30","2,038.30","2,042.80" +01/04/2010,"1,099.00","1,124.60","1,093.80","1,118.30" +01/04/2011,"1,414.80","1,417.80","1,375.00","1,378.80" +01/04/2012,"1,604.90","1,619.80","1,593.80","1,612.70" +01/04/2013,"1,663.80","1,664.50","1,626.00","1,648.90" +01/04/2016,"1,061.50","1,083.00","1,061.00","1,075.20" +01/04/2017,"1,159.60","1,168.60","1,156.70","1,165.30" +01/04/2018,"1,315.50","1,327.30","1,307.10","1,321.60" +01/04/2019,"1,296.50","1,300.40","1,278.10","1,285.80" +01/04/2021,"1,908.20","1,948.70","1,906.10","1,895.10" +01/04/2022,"1,801.10","1,817.20","1,798.10","1,814.60" +01/04/2023,"1,845.20","1,871.30","1,842.00","1,859.00" +01/04/2024,"2,049.30","2,058.10","2,043.30","2,050.00" +01/05/2010,"1,122.00","1,129.60","1,115.50","1,118.70" +01/05/2011,"1,380.70","1,385.20","1,364.00","1,373.70" +01/05/2012,"1,614.40","1,626.80","1,597.70","1,620.10" +01/05/2015,"1,187.80","1,207.50","1,177.80","1,204.00" +01/05/2016,"1,073.50","1,081.50","1,071.90","1,078.40" +01/05/2017,"1,164.60","1,185.90","1,163.60","1,181.30" +01/05/2018,"1,324.40","1,324.70","1,314.60","1,322.30" +01/05/2021,"1,946.00","1,957.00","1,938.40","1,954.40" +01/05/2022,"1,815.20","1,830.70","1,808.20","1,825.10" +01/05/2023,"1,861.20","1,864.30","1,829.90","1,840.60" +01/05/2024,"2,051.40","2,071.10","2,030.80","2,049.80" +01/06/2010,"1,118.50","1,141.00","1,116.80","1,136.50" +01/06/2011,"1,376.40","1,380.00","1,364.30","1,371.70" +01/06/2012,"1,622.40","1,632.30","1,609.00","1,616.80" +01/06/2014,"1,237.00","1,247.70","1,212.60","1,238.00" +01/06/2015,"1,204.00","1,223.30","1,201.60","1,219.40" +01/06/2016,"1,076.80","1,094.90","1,074.40","1,091.90" +01/06/2017,"1,181.00","1,183.80","1,171.10","1,173.40" +01/06/2020,"1,562.70","1,590.90","1,562.30","1,568.80" +01/06/2021,"1,952.80","1,962.50","1,902.60","1,908.60" +01/06/2022,"1,810.60","1,811.60","1,785.40","1,789.20" +01/06/2023,"1,835.90","1,875.20","1,835.20","1,869.70" +01/07/2010,"1,139.00","1,139.50","1,128.70","1,133.70" +01/07/2011,"1,371.70","1,379.00","1,352.70","1,368.90" +01/07/2013,"1,656.30","1,663.00","1,642.60","1,646.30" +01/07/2014,"1,237.00","1,244.70","1,224.20","1,229.60" +01/07/2015,"1,219.00","1,219.40","1,209.10","1,210.70" +01/07/2016,"1,093.70","1,109.90","1,091.10","1,107.80" +01/07/2019,"1,287.00","1,297.00","1,284.10","1,289.90" +01/07/2020,"1,567.40","1,579.20","1,557.00","1,574.30" +01/07/2021,"1,921.50","1,929.60","1,907.50","1,913.60" +01/07/2022,"1,791.00","1,798.40","1,781.30","1,797.40" +01/08/2010,"1,131.50","1,140.00","1,119.50","1,138.90" +01/08/2013,"1,647.60","1,662.70","1,646.80","1,662.20" +01/08/2014,"1,231.00","1,231.80","1,217.70","1,225.50" +01/08/2015,"1,211.00","1,216.80","1,204.20","1,208.50" +01/08/2016,"1,108.80","1,113.10","1,091.80","1,097.90" +01/08/2018,"1,321.80","1,323.00","1,315.70","1,320.40" +01/08/2019,"1,289.90","1,291.40","1,280.20","1,285.90" +01/08/2020,"1,578.80","1,613.30","1,553.40","1,560.20" +01/08/2021,"1,915.20","1,918.40","1,827.80","1,835.40" +01/08/2024,"2,052.60","2,053.30","2,022.70","2,033.50" +01/09/2012,"1,617.70","1,624.60","1,605.70","1,608.10" +01/09/2013,"1,659.90","1,666.00","1,651.30","1,655.50" +01/09/2014,"1,224.90","1,230.90","1,222.80","1,229.40" +01/09/2015,"1,208.90","1,224.00","1,207.00","1,216.10" +01/09/2017,"1,172.90","1,186.40","1,172.20","1,184.90" +01/09/2018,"1,321.20","1,321.40","1,309.50","1,313.70" +01/09/2019,"1,286.10","1,295.00","1,280.90","1,292.00" +01/09/2020,"1,557.70","1,562.40","1,541.00","1,554.30" +01/09/2023,"1,872.80","1,886.40","1,869.30","1,877.80" +01/09/2024,"2,034.50","2,048.60","2,031.90","2,033.00" +01/10/2011,"1,369.80","1,376.40","1,365.00","1,374.10" +01/10/2012,"1,612.30","1,641.40","1,609.20","1,631.50" +01/10/2013,"1,658.00","1,678.80","1,653.80","1,678.00" +01/10/2014,"1,227.10","1,248.50","1,226.60","1,246.90" +01/10/2017,"1,181.30","1,190.60","1,180.20","1,185.50" +01/10/2018,"1,313.30","1,328.60","1,308.90","1,319.30" +01/10/2019,"1,294.70","1,298.00","1,286.70","1,287.40" +01/10/2020,"1,553.40","1,564.10","1,546.70","1,560.10" +01/10/2022,"1,796.40","1,802.00","1,789.30","1,798.80" +01/10/2023,"1,875.70","1,885.20","1,872.00","1,876.50" +01/11/2010,"1,139.00","1,163.00","1,139.00","1,151.40" +01/11/2011,"1,375.70","1,386.80","1,372.40","1,384.30" +01/11/2012,"1,632.40","1,648.00","1,630.80","1,639.60" +01/11/2013,"1,674.10","1,676.90","1,653.10","1,660.60" +01/11/2016,"1,103.60","1,108.30","1,093.10","1,096.20" +01/11/2017,"1,188.10","1,198.50","1,177.00","1,196.60" +01/11/2018,"1,317.50","1,324.70","1,316.10","1,322.50" +01/11/2019,"1,287.60","1,295.70","1,287.00","1,289.50" +01/11/2021,"1,849.40","1,856.00","1,817.10","1,850.80" +01/11/2022,"1,801.30","1,823.10","1,799.70","1,818.50" +01/11/2023,"1,881.30","1,890.90","1,870.90","1,878.90" +01/12/2010,"1,152.00","1,158.30","1,124.30","1,129.40" +01/12/2011,"1,381.10","1,389.00","1,376.30","1,385.80" +01/12/2012,"1,643.50","1,662.90","1,640.90","1,647.70" +01/12/2015,"1,223.00","1,236.00","1,217.50","1,232.80" +01/12/2016,"1,094.00","1,099.10","1,083.10","1,085.20" +01/12/2017,"1,191.10","1,207.20","1,190.70","1,199.80" +01/12/2018,"1,323.60","1,340.00","1,320.80","1,334.90" +01/12/2021,"1,845.40","1,864.00","1,835.80","1,844.20" +01/12/2022,"1,821.30","1,828.20","1,814.40","1,827.30" +01/12/2023,"1,879.70","1,906.50","1,872.40","1,898.80" +01/13/2010,"1,129.00","1,138.90","1,118.50","1,136.80" +01/13/2011,"1,387.10","1,392.90","1,369.10","1,387.00" +01/13/2012,"1,649.80","1,650.70","1,625.70","1,630.80" +01/13/2014,"1,247.70","1,255.30","1,243.00","1,251.10" +01/13/2015,"1,233.10","1,244.50","1,227.40","1,234.40" +01/13/2016,"1,086.80","1,095.60","1,079.40","1,087.10" +01/13/2017,"1,194.80","1,201.80","1,187.50","1,196.20" +01/13/2020,"1,563.00","1,563.10","1,547.00","1,550.60" +01/13/2021,"1,855.00","1,863.00","1,841.60","1,854.90" +01/13/2022,"1,825.70","1,828.30","1,811.80","1,821.40" +01/13/2023,"1,898.80","1,925.30","1,895.10","1,921.70" +01/14/2010,"1,137.90","1,146.70","1,130.70","1,143.00" +01/14/2011,"1,373.60","1,377.80","1,354.60","1,360.50" +01/14/2013,"1,659.50","1,674.80","1,659.50","1,669.40" +01/14/2014,"1,252.70","1,254.90","1,241.10","1,245.40" +01/14/2015,"1,231.20","1,244.60","1,224.90","1,234.50" +01/14/2016,"1,093.60","1,095.40","1,071.10","1,073.60" +01/14/2019,"1,288.00","1,296.60","1,287.70","1,291.30" +01/14/2020,"1,548.60","1,549.50","1,536.40","1,544.60" +01/14/2021,"1,845.60","1,857.60","1,826.60","1,851.40" +01/14/2022,"1,822.10","1,829.30","1,814.20","1,816.50" +01/15/2010,"1,142.00","1,146.00","1,126.50","1,130.50" +01/15/2013,"1,667.80","1,684.90","1,666.20","1,683.90" +01/15/2014,"1,244.30","1,244.60","1,233.50","1,238.30" +01/15/2015,"1,229.70","1,267.20","1,226.10","1,264.80" +01/15/2016,"1,079.20","1,097.50","1,076.00","1,090.70" +01/15/2019,"1,292.40","1,294.80","1,286.50","1,288.40" +01/15/2020,"1,546.80","1,558.80","1,546.50","1,554.00" +01/15/2021,"1,847.30","1,856.60","1,822.10","1,829.90" +01/16/2013,"1,679.70","1,684.70","1,673.00","1,683.20" +01/16/2014,"1,241.80","1,244.90","1,235.80","1,240.20" +01/16/2015,"1,263.50","1,282.40","1,255.20","1,276.90" +01/16/2018,"1,340.90","1,342.60","1,332.10","1,337.10" +01/16/2019,"1,289.60","1,295.40","1,287.60","1,293.80" +01/16/2020,"1,556.60","1,558.20","1,548.00","1,550.50" +01/17/2012,"1,635.80","1,668.00","1,631.90","1,655.60" +01/17/2013,"1,680.50","1,697.80","1,666.40","1,690.80" +01/17/2014,"1,241.70","1,254.60","1,237.30","1,251.90" +01/17/2017,"1,202.80","1,218.90","1,198.00","1,212.90" +01/17/2018,"1,339.00","1,344.50","1,326.60","1,339.20" +01/17/2019,"1,293.90","1,295.00","1,288.30","1,292.30" +01/17/2020,"1,553.00","1,561.40","1,549.30","1,560.30" +01/17/2023,"1,918.40","1,921.80","1,906.20","1,909.90" +01/18/2011,"1,361.20","1,376.00","1,356.80","1,368.20" +01/18/2012,"1,651.50","1,662.90","1,642.10","1,659.90" +01/18/2013,"1,687.40","1,695.10","1,683.30","1,687.00" +01/18/2017,"1,216.80","1,217.70","1,201.80","1,212.10" +01/18/2018,"1,327.40","1,333.30","1,324.30","1,327.20" +01/18/2019,"1,291.90","1,292.20","1,280.10","1,282.60" +01/18/2022,"1,818.90","1,822.40","1,804.70","1,812.40" +01/18/2023,"1,911.10","1,929.80","1,898.60","1,907.00" +01/19/2010,"1,130.70","1,140.50","1,130.00","1,140.00" +01/19/2011,"1,367.80","1,378.90","1,365.50","1,370.20" +01/19/2012,"1,660.70","1,670.60","1,649.20","1,654.50" +01/19/2016,"1,089.00","1,094.50","1,082.10","1,089.10" +01/19/2017,"1,203.10","1,206.40","1,195.40","1,201.50" +01/19/2018,"1,327.00","1,338.20","1,326.60","1,333.10" +01/19/2021,"1,837.80","1,845.00","1,831.80","1,840.20" +01/19/2022,"1,812.90","1,843.90","1,809.00","1,843.20" +01/19/2023,"1,907.00","1,936.90","1,902.00","1,923.90" +01/20/2010,"1,138.50","1,141.70","1,106.80","1,112.60" +01/20/2011,"1,369.90","1,370.90","1,342.40","1,346.50" +01/20/2012,"1,657.00","1,667.30","1,645.20","1,664.00" +01/20/2015,"1,276.30","1,297.20","1,272.10","1,294.20" +01/20/2016,"1,087.30","1,109.90","1,087.10","1,106.20" +01/20/2017,"1,204.80","1,214.80","1,198.20","1,204.90" +01/20/2021,"1,839.90","1,872.00","1,831.10","1,866.50" +01/20/2022,"1,840.10","1,848.50","1,836.20","1,842.60" +01/20/2023,"1,933.70","1,939.00","1,922.00","1,928.20" +01/21/2010,"1,112.40","1,117.40","1,088.00","1,103.20" +01/21/2011,"1,345.50","1,349.70","1,337.00","1,341.00" +01/21/2014,"1,254.10","1,262.00","1,235.10","1,241.80" +01/21/2015,"1,295.30","1,307.00","1,284.60","1,293.70" +01/21/2016,"1,100.90","1,104.80","1,092.50","1,098.20" +01/21/2020,"1,561.00","1,568.80","1,546.00","1,557.90" +01/21/2021,"1,871.00","1,874.60","1,857.50","1,865.90" +01/21/2022,"1,840.60","1,843.70","1,828.40","1,831.80" +01/22/2010,"1,095.40","1,098.90","1,081.90","1,089.70" +01/22/2013,"1,686.50","1,695.90","1,684.80","1,693.20" +01/22/2014,"1,240.50","1,243.50","1,235.50","1,238.60" +01/22/2015,"1,293.70","1,307.80","1,279.10","1,300.70" +01/22/2016,"1,101.60","1,103.50","1,094.40","1,096.30" +01/22/2018,"1,334.00","1,335.80","1,328.00","1,331.90" +01/22/2019,"1,279.10","1,285.00","1,276.70","1,283.40" +01/22/2020,"1,558.90","1,559.80","1,550.00","1,556.70" +01/22/2021,"1,870.10","1,870.80","1,836.30","1,856.20" +01/23/2012,"1,665.20","1,681.80","1,663.00","1,678.30" +01/23/2013,"1,691.70","1,694.80","1,683.10","1,686.70" +01/23/2014,"1,235.80","1,267.00","1,230.80","1,262.30" +01/23/2015,"1,301.50","1,302.90","1,284.30","1,292.60" +01/23/2017,"1,209.30","1,219.40","1,209.00","1,215.60" +01/23/2018,"1,333.00","1,341.50","1,330.70","1,336.70" +01/23/2019,"1,284.60","1,286.00","1,277.70","1,284.00" +01/23/2020,"1,558.90","1,567.50","1,551.30","1,565.40" +01/23/2023,"1,928.40","1,936.70","1,912.50","1,928.60" +01/24/2011,"1,343.00","1,352.40","1,333.10","1,344.50" +01/24/2012,"1,677.10","1,680.00","1,661.00","1,664.50" +01/24/2013,"1,683.80","1,685.80","1,664.20","1,669.90" +01/24/2014,"1,263.70","1,273.20","1,256.80","1,264.30" +01/24/2017,"1,218.00","1,220.10","1,206.20","1,210.80" +01/24/2018,"1,341.40","1,361.60","1,339.10","1,356.30" +01/24/2019,"1,282.30","1,283.90","1,275.30","1,279.80" 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Prediction/Model/Pickle Files/svm_model.pkl b/Gold Price Analysis and Prediction/Model/Pickle Files/svm_model.pkl new file mode 100644 index 000000000..e3a0857d6 Binary files /dev/null and b/Gold Price Analysis and Prediction/Model/Pickle Files/svm_model.pkl differ diff --git a/Gold Price Analysis and Prediction/Model/gold_price_prediction.ipynb b/Gold Price Analysis and Prediction/Model/gold_price_prediction.ipynb new file mode 100644 index 000000000..3a708da6a --- /dev/null +++ b/Gold Price Analysis and Prediction/Model/gold_price_prediction.ipynb @@ -0,0 +1,1242 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "L8Se_QUcXmex" + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import mean_squared_error\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "kYquOE61YMwI" + }, + "outputs": [], + "source": [ + "dt = pd.read_csv('/content/future-gc00-daily-prices.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "eG87r5ZyZOmV", + "outputId": "2621269b-e301-4cd3-d5c8-c987376ffff0" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Open object\n", + "High object\n", + "Low object\n", + "Close object\n", + "dtype: object\n" + ] + } + ], + "source": [ + "dt.head()\n", + "print(dt[['Open', 'High', 'Low', 'Close']].dtypes)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "YBQiSSzJ1eJ-", + "outputId": "db16a778-9181-41e8-bd89-8c350d896f28" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(3703, 5)\n" + ] + } + ], + "source": [ + "print(dt.shape)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bhtM22GYZRMm", + "outputId": "e8d50657-55fc-479e-e90f-262464991d16" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 3703 entries, 0 to 3702\n", + "Data columns (total 5 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Date 3703 non-null object\n", + " 1 Open 3703 non-null object\n", + " 2 High 3703 non-null object\n", + " 3 Low 3703 non-null object\n", + " 4 Close 3703 non-null object\n", + "dtypes: object(5)\n", + "memory usage: 144.8+ KB\n" + ] + } + ], + "source": [ + "dt.info()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "3j8EadyIZT5d", + "outputId": "cbc9d671-3827-49bc-f05c-5268d8bed5a4" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Unique values in 'Date' column: ['01/02/2013' '01/02/2014' '01/02/2015' ... '12/31/2019' '12/31/2020'\n", + " '12/31/2021']\n", + "Unique values in 'Open' column: ['1,676.40' '1,204.50' '1,184.00' ... '1,060.60' '1,517.70' '1,899.00']\n", + "Unique values in 'High' column: ['1,695.40' '1,230.80' '1,194.90' ... '1,681.00' '1,904.90' '1,831.40']\n", + "Unique values in 'Low' column: ['1,670.90' '1,202.50' '1,167.30' ... '1,279.70' '1,517.50' '1,889.10']\n", + "Unique values in 'Close' column: ['1,688.80' '1,225.20' '1,186.20' ... '1,281.30' '1,523.10' '1,828.60']\n" + ] + } + ], + "source": [ + "for column in dt.columns:\n", + " unique_values = dt[column].unique()\n", + " print(f\"Unique values in '{column}' column:\", unique_values)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WpNBHACtZyQ4", + "outputId": "d066f93f-08e1-4ed3-ef61-ffbb2cf9757a" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Date Open High Low Close\n", + "count 3703 3703 3703 3703 3703\n", + "unique 3703 2930 2976 2990 2975\n", + "top 01/02/2013 1,782.00 1,283.90 1,272.00 1,317.80\n", + "freq 1 6 6 6 6\n" + ] + } + ], + "source": [ + "print(dt.describe())" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "T9AW9V_x_UFZ" + }, + "source": [ + "# **Visualizations and Analysis:**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Line Plot of Gold Prices Over Time:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 542 + }, + "id": "rjRQXX1Dzx5O", + "outputId": "22bf58ee-0cba-4193-bab6-6814f3719bdf" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(dt['Date'], dt['Close'], label='Close Price')\n", + "plt.title('Gold Prices Over Time')\n", + "plt.xlabel('Date')\n", + "plt.ylabel('Close Price')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Gold Close Price with 30-Day Rolling Average:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 556 + }, + "id": "tMUAT1WD1CmF", + "outputId": "76189909-3dae-4536-e3bc-4efcd5e3802d" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "dt['Date'] = pd.to_datetime(dt['Date'])\n", + "\n", + "numeric_columns = ['Open', 'High', 'Low', 'Close']\n", + "for column in numeric_columns:\n", + " dt[column] = pd.to_numeric(dt[column].str.replace(',', ''), errors='coerce')\n", + "\n", + "dt.set_index('Date', inplace=True)\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "for column in numeric_columns:\n", + " dt[column + '_rolling_mean'] = dt[column].rolling(window=30).mean()\n", + "\n", + "plt.plot(dt['Close'], label='Close Price', color='blue', alpha=0.5)\n", + "plt.plot(dt['Close_rolling_mean'], label='Close Price - 30 days Rolling Mean', color='orange')\n", + "plt.title('Gold Close Price with Rolling Average')\n", + "plt.xlabel('Date')\n", + "plt.ylabel('Price')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Boxplot of Gold Price Attributes:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 699 + }, + "id": "IstoSVwJ3O_a", + "outputId": "6ae54644-0979-4858-c17b-e9261feb6496" + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 8))\n", + "sns.boxplot(data=dt[['Open', 'High', 'Low', 'Close']], palette='pastel')\n", + "plt.title('Boxplot of Gold Price Attributes')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Histograms of Gold Price Attributes:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 756 + }, + "id": "AeQg9jDw3W6R", + "outputId": "682f77ed-b8e4-485e-a3d8-b2cdee0d75e7" + }, + "outputs": [ + { + "data": { + "image/png": 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", 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\n", + "
\n", + "\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import plotly.graph_objects as go\n", + "\n", + "fig = go.Figure(data=[go.Candlestick(x=dt.index,\n", + " open=dt['Open'],\n", + " high=dt['High'],\n", + " low=dt['Low'],\n", + " close=dt['Close'])])\n", + "\n", + "fig.update_layout(title='Gold Price Candlestick Chart',\n", + " xaxis_title='Date',\n", + " yaxis_title='Price',\n", + " xaxis_rangeslider_visible=False)\n", + "fig.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 556 + }, + "id": "7_m-qEvl3lys", + "outputId": "6832cd55-9dd3-4855-e155-96afbcfd9197" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 6))\n", + "for window in [7, 30]:\n", + " dt['Close_MA_' + str(window)] = dt['Close'].rolling(window=window).mean()\n", + "\n", + "plt.plot(dt['Close'], label='Close Price', color='blue', alpha=0.5)\n", + "plt.plot(dt['Close_MA_7'], label='Close Price - 7 days MA', color='orange')\n", + "plt.plot(dt['Close_MA_30'], label='Close Price - 30 days MA', color='green')\n", + "plt.title('Gold Close Price with Moving Averages')\n", + "plt.xlabel('Date')\n", + "plt.ylabel('Price')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Autocorrelation Plot of Gold Close Price:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 584 + }, + "id": "6-sf4v1u32rl", + "outputId": "ced60271-bd72-4fd7-fb01-d9ac2f4a807b" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from pandas.plotting import autocorrelation_plot\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "autocorrelation_plot(dt['Close'])\n", + "plt.title('Autocorrelation Plot of Gold Close Price')\n", + "plt.xlabel('Lag')\n", + "plt.ylabel('Autocorrelation')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "AvLPLoN04hCX" + }, + "source": [ + "# **Gold prices Prediction:**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zH5sLAM7_IsB" + }, + "source": [ + "Predicting gold prices involves utilizing machine learning models such as Linear Regression, Decision Trees, Random Forest, and SVM. Trained on historical data, these models aim to forecast future gold prices, enabling investors to make informed decisions based on accurate predictions. The choice of model depends on the dataset characteristics and desired predictive accuracy." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "EfFqDytK4t9W" + }, + "source": [ + "### 1)Linear Regression:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "nYUY0FsI350o", + "outputId": "d8fb1405-243c-4bf7-f2a1-95d6b69b1997" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Linear Regression - Mean Squared Error: 9.069962856941092e-28\n", + "Linear Regression - R-squared Score: 1.0\n" + ] + } + ], + "source": [ + "features = dt[['Close']]\n", + "target = dt['Close']\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(features, target, test_size=0.2, random_state=42)\n", + "\n", + "\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import mean_squared_error, r2_score\n", + "\n", + "linear_model = LinearRegression()\n", + "linear_model.fit(X_train, y_train)\n", + "\n", + "y_pred_linear = linear_model.predict(X_test)\n", + "\n", + "mse_linear = mean_squared_error(y_test, y_pred_linear)\n", + "r2_linear = r2_score(y_test, y_pred_linear)\n", + "\n", + "print(f'Linear Regression - Mean Squared Error: {mse_linear}')\n", + "print(f'Linear Regression - R-squared Score: {r2_linear}')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "wM-EeMqT4-Ol" + }, + "source": [ + "### 2. Decision Tree:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "P5LzuMWv4_2k", + "outputId": "6708d94d-41ca-4517-e9fb-ed4170035178" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Decision Tree - Mean Squared Error: 0.12283400809716255\n", + "Decision Tree - R-squared Score: 0.9999985318694662\n" + ] + } + ], + "source": [ + "from sklearn.tree import DecisionTreeRegressor\n", + "\n", + "tree_model = DecisionTreeRegressor()\n", + "tree_model.fit(X_train, y_train)\n", + "\n", + "y_pred_tree = tree_model.predict(X_test)\n", + "\n", + "mse_tree = mean_squared_error(y_test, y_pred_tree)\n", + "r2_tree = r2_score(y_test, y_pred_tree)\n", + "\n", + "print(f'Decision Tree - Mean Squared Error: {mse_tree}')\n", + "print(f'Decision Tree - R-squared Score: {r2_tree}')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "F9aLHLa95HM-" + }, + "source": [ + "### 3. Random Forest:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WlW68VjZ5KRv", + "outputId": "8465b4e9-89be-4c4b-afd8-da807ee18aaf" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random Forest - Mean Squared Error: 0.14806186504722527\n", + "Random Forest - R-squared Score: 0.9999982303423267\n" + ] + } + ], + "source": [ + "from sklearn.ensemble import RandomForestRegressor\n", + "\n", + "forest_model = RandomForestRegressor()\n", + "forest_model.fit(X_train, y_train)\n", + "\n", + "y_pred_forest = forest_model.predict(X_test)\n", + "\n", + "mse_forest = mean_squared_error(y_test, y_pred_forest)\n", + "r2_forest = r2_score(y_test, y_pred_forest)\n", + "\n", + "print(f'Random Forest - Mean Squared Error: {mse_forest}')\n", + "print(f'Random Forest - R-squared Score: {r2_forest}')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "E0sITd-Q5P-m" + }, + "source": [ + "### 4. Support Vector Machine (SVM):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "DN5wgjnO5TJA", + "outputId": "4600187f-7136-4c68-f811-fd9e119b34d5" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SVM - Mean Squared Error: 3111.8843773805643\n", + "SVM - R-squared Score: 0.9628062900257356\n" + ] + } + ], + "source": [ + "from sklearn.svm import SVR\n", + "\n", + "svm_model = SVR()\n", + "svm_model.fit(X_train, y_train)\n", + "\n", + "y_pred_svm = svm_model.predict(X_test)\n", + "\n", + "mse_svm = mean_squared_error(y_test, y_pred_svm)\n", + "r2_svm = r2_score(y_test, y_pred_svm)\n", + "\n", + "print(f'SVM - Mean Squared Error: {mse_svm}')\n", + "print(f'SVM - R-squared Score: {r2_svm}')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "m2nxzf1X5am7" + }, + "source": [ + "### 5. Gradient Boosting:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qnHN4ueO5cBm", + "outputId": "1111602e-7328-43de-ea96-521f295f9276" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient Boosting - Mean Squared Error: 4.811176427026736\n", + "Gradient Boosting - R-squared Score: 0.9999424960959467\n" + ] + } + ], + "source": [ + "from sklearn.ensemble import GradientBoostingRegressor\n", + "\n", + "boosting_model = GradientBoostingRegressor()\n", + "boosting_model.fit(X_train, y_train)\n", + "\n", + "y_pred_boosting = boosting_model.predict(X_test)\n", + "\n", + "mse_boosting = mean_squared_error(y_test, y_pred_boosting)\n", + "r2_boosting = r2_score(y_test, y_pred_boosting)\n", + "\n", + "print(f'Gradient Boosting - Mean Squared Error: {mse_boosting}')\n", + "print(f'Gradient Boosting - R-squared Score: {r2_boosting}')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vAelFUlm-rSh" + }, + "source": [ + "## **Comparing Accuracy and Mean Squared Error Through visualization**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparison of Algorithm Accuracy:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 563 + }, + "id": "GoCRSMoo5fdu", + "outputId": "40af59c0-081c-420b-8d3d-45ca232d62b5" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "models = {\n", + " 'Linear Regression': LinearRegression(),\n", + " 'Decision Tree': DecisionTreeRegressor(),\n", + " 'Random Forest': RandomForestRegressor(),\n", + " 'Gradient Boosting': GradientBoostingRegressor(),\n", + " 'Support Vector Machine (SVM)': SVR()\n", + "}\n", + "\n", + "results = {}\n", + "for model_name, model in models.items():\n", + " model.fit(X_train, y_train)\n", + " y_pred = model.predict(X_test)\n", + " mse = mean_squared_error(y_test, y_pred)\n", + " results[model_name] = mse\n", + "\n", + "results_df = pd.DataFrame(list(results.items()), columns=['Algorithm', 'Mean Squared Error'])\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "plt.bar(results_df['Algorithm'], 1 / (1 + results_df['Mean Squared Error']), color='skyblue') # Invert MSE for better visualization\n", + "plt.title('Comparison of Algorithm Accuracy')\n", + "plt.xlabel('Algorithm')\n", + "plt.ylabel('Accuracy (Inverse MSE)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 549 + }, + "id": "wCw--Zut6XnP", + "outputId": "f423b36f-a739-49f5-b598-d44076c07e3f" + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = {}\n", + "for model_name, model in models.items():\n", + " model.fit(X_train, y_train)\n", + " y_pred = model.predict(X_test)\n", + " mse = mean_squared_error(y_test, y_pred)\n", + " r2 = r2_score(y_test, y_pred)\n", + " results[model_name] = {'Mean Squared Error': mse, 'R-squared Score': r2}\n", + "\n", + "results_df = pd.DataFrame({model: [metric['Mean Squared Error'] for model, metric in results.items()] for model in models})\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "sns.barplot(data=results_df, palette='viridis')\n", + "plt.title('Comparison of Mean Squared Error Across Algorithms')\n", + "plt.xlabel('Algorithm')\n", + "plt.ylabel('Mean Squared Error')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Box Plot of Mean Squared Error Across Algorithms:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 549 + }, + "id": "FcN0qVz06bkd", + "outputId": "5b10a82c-94f3-4aed-8112-9f590d478ad2" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 6))\n", + "sns.boxplot(data=results_df, palette='coolwarm')\n", + "plt.title('Box Plot of Mean Squared Error Across Algorithms')\n", + "plt.xlabel('Algorithm')\n", + "plt.ylabel('Mean Squared Error')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Violin Plot of Mean Squared Error Across Algorithms:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 543 + }, + "id": "PZdf7M1I6fed", + "outputId": "fed7704a-98ba-4664-fff7-f77d6f9e9fd2" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 6))\n", + "sns.violinplot(data=results_df, palette='muted')\n", + "plt.title('Violin Plot of Mean Squared Error Across Algorithms')\n", + "plt.xlabel('Algorithm')\n", + "plt.ylabel('Mean Squared Error')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparison of R-squared Scores Across Algorithms:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 702 + }, + "id": "kogBH4gL6jC1", + "outputId": "6f1b61af-6c67-4c89-97cd-0be8a45c7e13" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":5: FutureWarning:\n", + "\n", + "\n", + "\n", + "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.\n", + "\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r2_scores = {model_name: metric['R-squared Score'] for model_name, metric in results.items()}\n", + "r2_scores_df = pd.DataFrame(list(r2_scores.items()), columns=['Algorithm', 'R-squared Score'])\n", + "\n", + "plt.figure(figsize=(12, 6))\n", + "sns.barplot(x='Algorithm', y='R-squared Score', data=r2_scores_df, palette='pastel')\n", + "plt.title('Comparison of R-squared Scores Across Algorithms')\n", + "plt.xlabel('Algorithm')\n", + "plt.ylabel('R-squared Score')\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Scatter Plot of Predicted vs. Actual Values:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 707 + }, + "id": "_1TaZxpa6nD2", + "outputId": "b46e449b-62ae-4bb9-cd29-c06ee10bccda" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 8))\n", + "for model_name, model in models.items():\n", + " model.fit(X_train, y_train)\n", + " y_pred = model.predict(X_test)\n", + " plt.scatter(y_test, y_pred, label=model_name, alpha=0.7)\n", + "\n", + "plt.plot([min(y_test), max(y_test)], [min(y_test), max(y_test)], linestyle='--', color='red', label='Perfect Prediction')\n", + "plt.title('Scatter Plot of Predicted vs. Actual Values')\n", + "plt.xlabel('Actual Values')\n", + "plt.ylabel('Predicted Values')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8ME4Dpgv7s-V" + }, + "source": [ + "##**Saving to the pickle files:**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "r4vXJbcr70IE" + }, + "outputs": [], + "source": [ + "import pickle\n", + "\n", + "linear_model = LinearRegression()\n", + "linear_model.fit(X_train, y_train)\n", + "with open('linear_regression_model.pkl', 'wb') as file:\n", + " pickle.dump(linear_model, file)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "id": "l4if1QVq83gD" + }, + "outputs": [], + "source": [ + "dt_model = DecisionTreeRegressor()\n", + "dt_model.fit(X_train, y_train)\n", + "with open('decision_tree_model.pkl', 'wb') as file:\n", + " pickle.dump(dt_model, file)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "id": "T-HQ1GLf91Fa" + }, + "outputs": [], + "source": [ + "rf_model = RandomForestRegressor()\n", + "rf_model.fit(X_train, y_train)\n", + "with open('random_forest_model.pkl', 'wb') as file:\n", + " pickle.dump(rf_model, file)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "id": "2PHuiki493Ro" + }, + "outputs": [], + "source": [ + "gb_model = GradientBoostingRegressor()\n", + "gb_model.fit(X_train, y_train)\n", + "with open('gradient_boosting_model.pkl', 'wb') as file:\n", + " pickle.dump(gb_model, file)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "id": "Rt6bg_A_95gY" + }, + "outputs": [], + "source": [ + "svm_model = SVR()\n", + "svm_model.fit(X_train, y_train)\n", + "with open('svm_model.pkl', 'wb') as file:\n", + " pickle.dump(svm_model, file)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gzB_ICmA99QS" + }, + "source": [ + "# **Sample Predictions:**" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "jFl8PAnA-DmK", + "outputId": "fec31794-5115-472e-c27a-fd55dd34690e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Linear Regression Predicted Prices:\n", + "[1600. 1650. 1700. 1750.]\n" + ] + } + ], + "source": [ + "\n", + "with open('linear_regression_model.pkl', 'rb') as file:\n", + " linear_model = pickle.load(file)\n", + "\n", + "sample_input = pd.DataFrame({'Close': [1600, 1650, 1700, 1750]})\n", + "\n", + "linear_predictions = linear_model.predict(sample_input)\n", + "\n", + "print(\"Linear Regression Predicted Prices:\")\n", + "print(linear_predictions)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qyLPLm9K-PcA", + "outputId": "b8d50b1b-e532-4c69-8ca2-8bd7afc66aae" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Decision Tree Predicted Prices:\n", + "[1600.5 1650. 1700.1 1749.8]\n" + ] + } + ], + "source": [ + "\n", + "with open('decision_tree_model.pkl', 'rb') as file:\n", + " dt_model = pickle.load(file)\n", + "\n", + "sample_input = pd.DataFrame({'Close': [1600, 1650, 1700, 1750]})\n", + "\n", + "dt_predictions = dt_model.predict(sample_input)\n", + "\n", + "print(\"Decision Tree Predicted Prices:\")\n", + "print(dt_predictions)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "5jU_HoS--XcR", + "outputId": "a6135471-a39b-4967-8191-4aa836bbe840" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SVM Predicted Prices:\n", + "[1598.35985116 1649.11955835 1700.91540849 1752.03912324]\n" + ] + } + ], + "source": [ + "\n", + "with open('svm_model.pkl', 'rb') as file:\n", + " svm_model = pickle.load(file)\n", + "\n", + "sample_input = pd.DataFrame({'Close': [1600, 1650, 1700, 1750]})\n", + "\n", + "svm_predictions = svm_model.predict(sample_input)\n", + "\n", + "print(\"SVM Predicted Prices:\")\n", + "print(svm_predictions)\n" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Gold Price Analysis and Prediction/requirements.txt.txt b/Gold Price Analysis and Prediction/requirements.txt.txt new file mode 100644 index 000000000..7e61cd0ec --- /dev/null +++ b/Gold Price Analysis and Prediction/requirements.txt.txt @@ -0,0 +1,5 @@ +pandas==1.3.3 +numpy==1.21.2 +scikit-learn==0.24.2 +matplotlib==3.4.3 +seaborn==0.11.2