{"id":26980,"date":"2022-03-01T10:22:55","date_gmt":"2022-03-01T10:22:55","guid":{"rendered":"https:\/\/www.testingdocs.com\/questions\/?p=26980"},"modified":"2025-05-17T05:59:09","modified_gmt":"2025-05-17T05:59:09","slug":"linear-regression-vs-logistic-regression","status":"publish","type":"post","link":"https:\/\/www.testingdocs.com\/questions\/linear-regression-vs-logistic-regression\/","title":{"rendered":"Linear Regression vs Logistic Regression"},"content":{"rendered":"<h1>Linear Regression vs Logistic Regression<\/h1>\n<p>Let&#8217;s look at some of the differences between linear regression and logistic regression in this tutorial.<\/p>\n<h2><strong>Linear Regression<\/strong><\/h2>\n<p>Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It predicts continuous output values based on the input features.<\/p>\n<h2><strong>Logistic Regression<\/strong><\/h2>\n<p>Logistic regression is a binary classification algorithm used to predict the probability of a categorical dependent variable, typically a binary outcome (0 or 1). It maps the output to a probability using a logistic function (sigmoid function).<\/p>\n<h2>Differences Between Linear Regression and Logistic Regression<\/h2>\n<table border=\"1\" cellpadding=\"10\">\n<thead>\n<tr>\n<th>Aspect<\/th>\n<th>Linear Regression<\/th>\n<th>Logistic Regression<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>Output<\/strong><\/td>\n<td>Continuous numerical value<\/td>\n<td>Probability of a categorical outcome (usually 0 or 1)<\/td>\n<\/tr>\n<tr>\n<td><strong>Model Type<\/strong><\/td>\n<td>Regression (predicts values)<\/td>\n<td>Classification (predicts class labels)<\/td>\n<\/tr>\n<tr>\n<td><strong>Equation<\/strong><\/td>\n<td><strong>y<\/strong> = \u03b2\u2080 + \u03b2\u2081x\u2081 + \u03b2\u2082x\u2082 + &#8230; + \u03b2\u2099x\u2099<\/td>\n<td><strong>p<\/strong> = 1 \/ (1 + e^(-z))<\/p>\n<p>where z = \u03b2\u2080 + \u03b2\u2081x\u2081 + \u03b2\u2082x\u2082 + &#8230; + \u03b2\u2099x\u2099<\/td>\n<\/tr>\n<tr>\n<td><strong>Prediction Range<\/strong><\/td>\n<td><strong>Unbounded<\/strong> (output can range from -\u221e to +\u221e)<\/td>\n<td><strong>Bounded<\/strong> (output is between 0 and 1)<\/td>\n<\/tr>\n<tr>\n<td><strong>Used For<\/strong><\/td>\n<td>Predicting continuous values, such as prices, temperature, etc.<\/td>\n<td>Classifying binary outcomes, such as Yes\/No or 0\/1<\/td>\n<\/tr>\n<tr>\n<td><strong>Error Metric<\/strong><\/td>\n<td>Mean Squared Error (MSE) or Root Mean Squared Error (RMSE)<\/td>\n<td>Log-Loss or Cross-Entropy Loss<\/td>\n<\/tr>\n<tr>\n<td><strong>Linearity<\/strong><\/td>\n<td>Assumes a linear relationship between independent and dependent variables<\/td>\n<td>Uses a non-linear logistic function (sigmoid) to model the probability<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Linear Regression vs Logistic Regression Let&#8217;s look at some of the differences between linear regression and logistic regression in this tutorial. Linear Regression Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It predicts continuous output values based on the input features. Logistic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[850],"tags":[],"class_list":["post-26980","post","type-post","status-publish","format-standard","hentry","category-ai-questions","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"_links":{"self":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/26980","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/comments?post=26980"}],"version-history":[{"count":5,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/26980\/revisions"}],"predecessor-version":[{"id":27380,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/26980\/revisions\/27380"}],"wp:attachment":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/media?parent=26980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/categories?post=26980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/tags?post=26980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}