{"id":26295,"date":"2021-12-17T08:43:18","date_gmt":"2021-12-17T03:13:18","guid":{"rendered":"https:\/\/python-programs.com\/?p=26295"},"modified":"2021-12-17T08:43:18","modified_gmt":"2021-12-17T03:13:18","slug":"python-program-for-coefficient-of-determination-r-squared-value","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/","title":{"rendered":"Python Program for Coefficient of Determination \u2013 R Squared Value"},"content":{"rendered":"<p>Before delving into the topic of Coefficient of Determination, it is important to grasp the importance of evaluating a machine learning model using error metrics.<\/p>\n<p>To solve any model in the field of Data Science, the developer must first analyze the efficiency of the model before applying it to the dataset. The model is evaluated using specific error metrics. One such error metric is the coefficient of determination.<\/p>\n<p><strong>Coefficient of Determination:<\/strong><\/p>\n<p>The coefficient of determination, often known as the R2 score. It is used to evaluate the performance of a linear regression model.<\/p>\n<p>It is the degree of variation in the output-dependent attribute that can be predicted based on the input independent variable (s). It is used to determine how effectively the model reproduces observed results, based on the ratio of total deviation of results explained by the model.<\/p>\n<p>R square has a range between [0,1].<\/p>\n<p><strong>Formula<\/strong><\/p>\n<p><strong>R<sup>2<\/sup>= 1- SS<sub>res\u00a0<\/sub>\/ SS<sub>tot<\/sub><\/strong><\/p>\n<p>where.<\/p>\n<p><strong>SSres:<\/strong> SSres is the sum of the squares of the residual errors of the data model&#8217;s<br \/>\n<strong>SS<sub>tot: <\/sub><\/strong>The total sum of the errors is represented by SStot.<\/p>\n<p><strong>Note:<\/strong> The higher the R square value, the better the model and the outcomes.<\/p>\n<h4><strong>R<sup>2<\/sup> With Numpy<\/strong><\/h4>\n<p><strong>Example:<\/strong><\/p>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import numpy module using the import keyword.<\/li>\n<li>Give the list of actual values as static input and store it in a variable.<\/li>\n<li>Give the list of predicted values as static input and store it in another\u00a0variable.<\/li>\n<li>Pass the given actual, predicted lists as the arguments to the corrcoef() function to get the <strong>Correlation Matrix.<\/strong><\/li>\n<li>\n<div>Slice the matrix with the indexes [0,1] to get the value of R, also known as the Coefficient of Correlation.<\/div>\n<\/li>\n<li><span style=\"font-size: 16px;\">Store it in another variable.<\/span><\/li>\n<li>\n<div><span style=\"font-size: 16px;\">Calculate\u00a0the\u00a0value\u00a0of\u00a0R**2(R\u00a0square)\u00a0and\u00a0store\u00a0it\u00a0in\u00a0another\u00a0variable.<\/span><\/div>\n<\/li>\n<li>\n<div>Print the value of R square.<\/div>\n<\/li>\n<li>\n<div><span style=\"font-size: 16px;\">The Exit of the Program.<\/span><\/div>\n<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import numpy module using the import keyword\r\nimport numpy\r\n# Give the list of actual values as static input and store it in a variable.\r\nactul_vals = [5, 1, 7, 2, 4]\r\n# Give the list of predicted values as static input and store it in another\r\n# variable.\r\npredctd_vals = [4, 1.5, 2.8, 3.7, 4.9]\r\n# Pass the given actual, predicted lists as the arguments to the corrcoef()\r\n# function to get the Correlation Matrix\r\ncorreltn_matrx = numpy.corrcoef(actul_vals, predctd_vals)\r\n# Slice the matrix with the indexes [0,1] to get the value of R, also known\r\n# as the Coefficient of Correlation.\r\nrsltcorretn = correltn_matrx[0, 1]\r\n# Calculate the value of R**2(R square) and store it in another variable.\r\nRsqure = rsltcorretn**2\r\n# Print the value of R square\r\nprint(\"The result value of R square = \",Rsqure)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The result value of R square = 0.09902230080299725<\/pre>\n<h4><strong>R<sup>2<\/sup> With S<\/strong>klearn Library<\/h4>\n<p>The Python sklearn module has an <strong>r2_score()<\/strong> function for calculating the coefficient of determination.<\/p>\n<p><strong>Example<\/strong><\/p>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>\n<div>Import r2_score function from sklearn.metrics module using the import keyword.<\/div>\n<\/li>\n<li>\n<div><span style=\"font-size: 16px;\">Give the list of actual values as static input and store it in a variable.<\/span><\/div>\n<\/li>\n<li>Give the list of predicted values as static input and store it in another\u00a0variable.<\/li>\n<li>\n<div>Pass the given actual, predicted lists as the arguments to the r2_score() function to get the value of the coefficient of determination(R square).<\/div>\n<\/li>\n<li>\n<div><span style=\"font-size: 16px;\">Print the value of R square(coefficient of determination).<\/span><\/div>\n<\/li>\n<li><span style=\"font-size: 16px;\">The Exit of the Program.<\/span><\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import r2_score function from sklearn.metrics module using the import keyword. \r\nfrom sklearn.metrics import r2_score \r\n# Give the list of actual values as static input and store it in a variable.\r\nactul_vals = [5, 1, 7, 2, 4]\r\n# Give the list of predicted values as static input and store it in another\r\n# variable.\r\npredctd_vals = [4, 1.5, 2.8, 3.7, 4.9]\r\n# Pass the given actual, predicted lists as the arguments to the r2_score()\r\n# function to get the value of the coefficient of determination(R square).\r\nRsqure = r2_score(actul_vals, predctd_vals)\r\n# Print the value of R square(coefficient of determination)\r\nprint(\"The result value of R square = \",Rsqure)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The result value of R square = 0.009210526315789336<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Before delving into the topic of Coefficient of Determination, it is important to grasp the importance of evaluating a machine learning model using error metrics. To solve any model in the field of Data Science, the developer must first analyze the efficiency of the model before applying it to the dataset. The model is evaluated &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/\"> <span class=\"screen-reader-text\">Python Program for Coefficient of Determination \u2013 R Squared Value<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Before delving into the topic of Coefficient of Determination, it is important to grasp the importance of evaluating a machine learning model using error metrics. To solve any model in the field of Data Science, the developer must first analyze the efficiency of the model before applying it to the dataset. The model is evaluated &hellip; Python Program for Coefficient of Determination \u2013 R Squared Value Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/\" \/>\n<meta property=\"og:site_name\" content=\"Python Programs\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/btechgeeks\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-17T03:13:18+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@btech_geeks\" \/>\n<meta name=\"twitter:site\" content=\"@btech_geeks\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Vikram Chiluka\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/python-programs.com\/#organization\",\"name\":\"BTech Geeks\",\"url\":\"https:\/\/python-programs.com\/\",\"sameAs\":[\"https:\/\/www.instagram.com\/btechgeeks\/\",\"https:\/\/www.linkedin.com\/in\/btechgeeks\",\"https:\/\/in.pinterest.com\/btechgeek\/\",\"https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg\",\"https:\/\/www.facebook.com\/btechgeeks\",\"https:\/\/twitter.com\/btech_geeks\"],\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/python-programs.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png\",\"contentUrl\":\"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png\",\"width\":350,\"height\":70,\"caption\":\"BTech Geeks\"},\"image\":{\"@id\":\"https:\/\/python-programs.com\/#\/schema\/logo\/image\/\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/python-programs.com\/#website\",\"url\":\"https:\/\/python-programs.com\/\",\"name\":\"Python Programs\",\"description\":\"Python Programs with Examples, How To Guides on Python\",\"publisher\":{\"@id\":\"https:\/\/python-programs.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/python-programs.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage\",\"url\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/\",\"name\":\"Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs\",\"isPartOf\":{\"@id\":\"https:\/\/python-programs.com\/#website\"},\"datePublished\":\"2021-12-17T03:13:18+00:00\",\"dateModified\":\"2021-12-17T03:13:18+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/python-programs.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python Program for Coefficient of Determination \u2013 R Squared Value\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage\"},\"author\":{\"@id\":\"https:\/\/python-programs.com\/#\/schema\/person\/fb109fd98e2d5a15fd4dac9970797602\"},\"headline\":\"Python Program for Coefficient of Determination \u2013 R Squared Value\",\"datePublished\":\"2021-12-17T03:13:18+00:00\",\"dateModified\":\"2021-12-17T03:13:18+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage\"},\"wordCount\":421,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/python-programs.com\/#organization\"},\"articleSection\":[\"Python\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/python-programs.com\/#\/schema\/person\/fb109fd98e2d5a15fd4dac9970797602\",\"name\":\"Vikram Chiluka\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/python-programs.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/c56c77f578d45de43af6feb443618ed7?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/c56c77f578d45de43af6feb443618ed7?s=96&d=mm&r=g\",\"caption\":\"Vikram Chiluka\"},\"url\":\"https:\/\/python-programs.com\/author\/vikram\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/","og_locale":"en_US","og_type":"article","og_title":"Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs","og_description":"Before delving into the topic of Coefficient of Determination, it is important to grasp the importance of evaluating a machine learning model using error metrics. To solve any model in the field of Data Science, the developer must first analyze the efficiency of the model before applying it to the dataset. The model is evaluated &hellip; Python Program for Coefficient of Determination \u2013 R Squared Value Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-12-17T03:13:18+00:00","twitter_card":"summary_large_image","twitter_creator":"@btech_geeks","twitter_site":"@btech_geeks","twitter_misc":{"Written by":"Vikram Chiluka","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/python-programs.com\/#organization","name":"BTech Geeks","url":"https:\/\/python-programs.com\/","sameAs":["https:\/\/www.instagram.com\/btechgeeks\/","https:\/\/www.linkedin.com\/in\/btechgeeks","https:\/\/in.pinterest.com\/btechgeek\/","https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg","https:\/\/www.facebook.com\/btechgeeks","https:\/\/twitter.com\/btech_geeks"],"logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","width":350,"height":70,"caption":"BTech Geeks"},"image":{"@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/"}},{"@type":"WebSite","@id":"https:\/\/python-programs.com\/#website","url":"https:\/\/python-programs.com\/","name":"Python Programs","description":"Python Programs with Examples, How To Guides on Python","publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/python-programs.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage","url":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/","name":"Python Program for Coefficient of Determination \u2013 R Squared Value - Python Programs","isPartOf":{"@id":"https:\/\/python-programs.com\/#website"},"datePublished":"2021-12-17T03:13:18+00:00","dateModified":"2021-12-17T03:13:18+00:00","breadcrumb":{"@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/python-programs.com\/"},{"@type":"ListItem","position":2,"name":"Python Program for Coefficient of Determination \u2013 R Squared Value"}]},{"@type":"Article","@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#article","isPartOf":{"@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage"},"author":{"@id":"https:\/\/python-programs.com\/#\/schema\/person\/fb109fd98e2d5a15fd4dac9970797602"},"headline":"Python Program for Coefficient of Determination \u2013 R Squared Value","datePublished":"2021-12-17T03:13:18+00:00","dateModified":"2021-12-17T03:13:18+00:00","mainEntityOfPage":{"@id":"https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#webpage"},"wordCount":421,"commentCount":0,"publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"articleSection":["Python"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/python-programs.com\/python-program-for-coefficient-of-determination-r-squared-value\/#respond"]}]},{"@type":"Person","@id":"https:\/\/python-programs.com\/#\/schema\/person\/fb109fd98e2d5a15fd4dac9970797602","name":"Vikram Chiluka","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/c56c77f578d45de43af6feb443618ed7?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c56c77f578d45de43af6feb443618ed7?s=96&d=mm&r=g","caption":"Vikram Chiluka"},"url":"https:\/\/python-programs.com\/author\/vikram\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/posts\/26295"}],"collection":[{"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/comments?post=26295"}],"version-history":[{"count":5,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/posts\/26295\/revisions"}],"predecessor-version":[{"id":26300,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/posts\/26295\/revisions\/26300"}],"wp:attachment":[{"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/media?parent=26295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/categories?post=26295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/python-programs.com\/wp-json\/wp\/v2\/tags?post=26295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}