{"id":54797,"date":"2024-04-16T00:16:20","date_gmt":"2024-04-16T00:16:20","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=54797"},"modified":"2024-04-16T00:16:20","modified_gmt":"2024-04-16T00:16:20","slug":"in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/","title":{"rendered":"In a linear regression problem, we are using &#8220;R-squared&#8221; to measure goodness-of-fit. We add a feature in linear regression model and retrain the same model. Which of the following option is true?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;If R Squared increases, this variable is significant.&#8221; option2=&#8221;If R Squared decreases, this variable is not significant.&#8221; option3=&#8221;Individually R squared cannot tell about variable importance. We can&#8217;t say anything about it right now.&#8221; option4=&#8221;None of these.&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>C. Individually R squared cannot tell about variable importance. We can&#8217;t say anything about it right now.<\/strong><\/p>\n<p>R-squared is a measure of the goodness of fit of a linear regression model. It is calculated by taking the sum of squares of the residuals (SSR) and dividing it by the total sum of squares (SST). The closer R-squared is to 1, the better the model fits the data.<\/p>\n<p>However, R-squared is not a good measure of variable importance. This is because R-squared is affected by all of the variables in the model, not just the one you are interested in. For example, if you add a new variable to a model that is already well-fit, R-squared may decrease even though the new variable is actually significant.<\/p>\n<p>To determine the importance of a variable, you need to use a technique such as stepwise regression or ridge regression. These techniques allow you to add and remove variables from the model and see how the R-squared changes. This information can then be used to determine which variables are most important for predicting the response variable.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: If R Squared increases, this variable is significant. This is not necessarily true. As mentioned above, R-squared is affected by all of the variables in the model, not just the one you are interested in. For example, if you add a new variable to a model that is already well-fit, R-squared may increase even though the new variable is actually not significant.<\/li>\n<li>Option B: If R Squared decreases, this variable is not significant. This is also not necessarily true. As mentioned above, R-squared is affected by all of the variables in the model, not just the one you are interested in. For example, if you remove a variable from a model that is already well-fit, R-squared may decrease even though the variable is actually significant.<\/li>\n<li>Option D: None of these. This is the correct answer. R-squared is not a good measure of variable importance. To determine the importance of a variable, you need to use a technique such as stepwise regression or ridge regression.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;If R Squared increases, this variable is significant.&#8221; option2=&#8221;If R Squared decreases, this variable is not significant.&#8221; option3=&#8221;Individually R squared cannot tell about variable importance. We can&#8217;t say anything about it right now.&#8221; option4=&#8221;None of these.&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729],"tags":[],"class_list":["post-54797","post","type-post","status-publish","format-standard","hentry","category-machine-learning","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In a linear regression problem, we are using &quot;R-squared&quot; to measure goodness-of-fit. We add a feature in linear regression model and retrain the same model. Which of the following option is true?<\/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:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a linear regression problem, we are using &quot;R-squared&quot; to measure goodness-of-fit. We add a feature in linear regression model and retrain the same model. 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We add a feature in linear regression model and retrain the same model. Which of the following option is true?","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:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/","og_locale":"en_US","og_type":"article","og_title":"In a linear regression problem, we are using \"R-squared\" to measure goodness-of-fit. We add a feature in linear regression model and retrain the same model. Which of the following option is true?","og_description":"[amp_mcq option1=&#8221;If R Squared increases, this variable is significant.&#8221; option2=&#8221;If R Squared decreases, this variable is not significant.&#8221; option3=&#8221;Individually R squared cannot tell about variable importance. We can&#8217;t say anything about it right now.&#8221; option4=&#8221;None of these.&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-16T00:16:20+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-a-linear-regression-problem-we-are-using-r-squared-to-measure-goodness-of-fit-we-add-a-feature-in-linear-regression-model-and-retrain-the-same-model-which-of-the-following-option-is-true\/","name":"In a linear regression problem, we are using \"R-squared\" to measure goodness-of-fit. 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