{"id":1371,"date":"2026-03-21T06:40:29","date_gmt":"2026-03-21T10:40:29","guid":{"rendered":"http:\/\/wordpress-473092-1485251.cloudwaysapps.com\/?p=1371"},"modified":"2026-03-21T06:40:29","modified_gmt":"2026-03-21T10:40:29","slug":"a-5-step-checklist-for-multiple-linear-regression","status":"publish","type":"post","link":"https:\/\/www.data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\/","title":{"rendered":"Checklist for Multiple Linear Regression"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1371\" class=\"elementor elementor-1371\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-28401cd1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"28401cd1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3b3814b6\" data-id=\"3b3814b6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-60e9044c elementor-widget elementor-widget-text-editor\" data-id=\"60e9044c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">A 5-Step Checklist for Multiple Linear Regression<\/h3><p style=\"text-align: justify;\">Multiple regression analysis is an extension of simple linear regression. It\u2019s useful for describing and making predictions based on linear relationships between predictor variables (ie; independent variables) and a response variable (ie; a dependent variable). Although multiple regression analysis is simpler than many <a href=\"http:\/\/data-mania.com\/blog\/supercharge-analytics-career-become-deep-learning-master\/\">other types of statistical modeling methods<\/a>, there are still some crucial steps that must be taken to ensure the validity of the results you obtain.<\/p><p><strong>PRO-TIP:<\/strong> Check out my brand new article on the use of regression and\u00a0<a href=\"https:\/\/www.data-mania.com\/blog\/predictive-analytics-in-marketing\/\">predictive analytics for improving marketing performance<\/a>.<\/p><p><img fetchpriority=\"high\" decoding=\"async\" data-pin-nopin=\"nopin\" class=\"wp-image-11998 alignleft\" src=\"http:\/\/data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-1024x1024.png\" alt=\"5-Step Checklist for multiple linear regression\" width=\"350\" height=\"350\" srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-1024x1024.png 1024w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-300x300.png 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-150x150.png 150w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-768x768.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-90x90.png 90w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-600x600.png 600w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression-649x649.png 649w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/Checklist-for-multiple-linear-regression.png 1080w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p><p>\u00a0<\/p><p style=\"text-align: justify;\">When using the checklist for multiple linear regression analysis, it\u2019s critical to check that model assumptions are not violated. This is to fix or minimize any such violations, and to validate the predictive accuracy of your model.<\/p><p style=\"text-align: justify;\">Since the internet provides so few plain-language explanations of this process, I decided to simplify things \u2013 to help walk you through the basic process.<\/p><p style=\"text-align: justify;\">Please keep in mind that this is a brief summary checklist of steps and considerations. An entire statistics book could probably be written for each of these steps alone. Use this as a basic roadmap, but please investigate the nuances of each step, to avoid making errors. Google is your friend.<\/p><p style=\"text-align: justify;\">Lastly, in all instances, use your common sense. If the results you see don\u2019t make sense against what you know to be true, there is a problem that should not be ignored.<\/p><p style=\"text-align: justify;\">Before getting into any of the model investigations, inspect and prepare your data. Check it for errors, treat any missing values, and inspect outliers to determine their validity. After you\u2019re comfortable that your data is correct, go ahead and proceed through the following fix step process.<\/p><p style=\"text-align: justify;\"><a href=\"http:\/\/data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression.png\" rel=\"attachment wp-att-1378\"><img decoding=\"async\" class=\"aligncenter wp-image-1378 size-full lazyload\" data-src=\"http:\/\/data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression.png\" alt=\"checklist for multiple linear regression analysis\" width=\"867\" height=\"638\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression.png 867w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression-300x221.png 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression-768x565.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-Step-Workflow-for-Multiple-Linear-Regression-90x66.png 90w\" data-sizes=\"(max-width: 867px) 100vw, 867px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 867px; --smush-placeholder-aspect-ratio: 867\/638;\" \/><\/a><\/p><h3>\u00a0<\/h3><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">STEP 1. SELECTING YOUR VARIABLES<\/h3><p style=\"text-align: justify;\">To pick the right variables, you\u2019ve got to have a basic understanding of your dataset, enough to know that your data is relevant, high quality, and of adequate volume. As part of your model building efforts, you\u2019ll be working to select the best predictor variables for your model (ie; the variables that have the most direct relationships with your chosen response variable). \u00a0<strong>When selecting predictor variables, a good rule of thumb is that <em>you want to gather a maximum amount of information from a minimum number of variables<\/em>, remembering that you\u2019re working within the confines of <em>a linear prediction equation<\/em>.<\/strong><\/p><p style=\"text-align: justify;\">The two following methods will be helpful to you in the variable selection process.<\/p><ol style=\"text-align: justify;\"><li>Try out an automatic search procedure and let R decide what variables are best. Stepwise regression analysis is a quick way to do this. (Make sure to check your output and see that it makes sense)<\/li><li>Use all-possible-regressions to test all possible subsets of potential predictor variables. With the all-possible-regressions method, you get to pick the numerical criteria by which you\u2019d like to have the models ranked. Popular numerical criteria are as follows:<\/li><\/ol><ul style=\"text-align: justify;\"><li style=\"list-style-type: none;\"><ul><li>R<sup>2<\/sup> &#8211; The set of variables with the highest R<sup>2<\/sup> value are the best fit variables for the model.<ul><li>note: R<sup>2<\/sup> values are always between 0 and 1.0<\/li><\/ul><\/li><li>Adjusted R<sup>2<\/sup> &#8211; The sets of variables with larger adjusted R<sup>2<\/sup> values are the better fit variables for the model.<\/li><li>C<sub>p<\/sub> &#8211; The smaller the C<sub>p<\/sub> value, the less total mean square error, and the less regression bias there is.<\/li><li>PRESS<sub>p<\/sub> &#8211; The smaller the predicted sum of squares (PRESS<sub>p<\/sub>) value, the better the predictive capabilities of the model.<\/li><\/ul><\/li><\/ul><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">STEP 2. REFINING YOUR MODEL<\/h3><p style=\"text-align: justify;\">Check the utility of the model by examining the following criteria:<\/p><ul style=\"text-align: justify;\"><li>Global F test: Test the significance of your predictor variables (as a group) for predicting the response of your dependent variable.<\/li><li>Adjusted R<sup>2<\/sup>: Check the overall sample variation of the dependent variable that is explained by the model after the sample size and the number of parameters have been adjusted. Adjusted R<sup>2<\/sup> values are indicative of how well your predictive equation is fit to your data. Larger adjusted R<sup>2<\/sup> values indicate that variables are a better fit for the model.<\/li><li>Root mean square error (MSE): MSE provides an estimation for the standard deviation of the random error. An interval of \u00b12 standard deviations approximates the accuracy in predicting the response variable based on a specific subset of predictor variables.<\/li><li>Coefficient of variation (CV): If a model has a CV value that\u2019s less than or equal to 10%, then the model is more likely to provide accurate predictions.<\/li><\/ul><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">STEP 3. TESTING MODEL ASSUMPTIONS<\/h3><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\"><img decoding=\"async\" class=\"alignright wp-image-12000 lazyload\" data-src=\"http:\/\/data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-683x1024.png\" alt=\"Checklist for multiple linear regression\" width=\"300\" height=\"450\" data-pin-title=\"5-Step Checklist for Multiple Linear Regression\" data-pin-description=\"What is multiple regression #analysis? In this post, we will share a 5-step workflow for doing multiple #linear #regression to guide you every step of your way. | http:\/\/data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-683x1024.png 683w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-200x300.png 200w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-768x1152.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-60x90.png 60w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-533x800.png 533w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3-433x649.png 433w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2015\/08\/5-step-Checklist-for-multiple-linear-regression-3.png 1000w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/450;\" \/><\/h3><p style=\"text-align: justify;\">Now it\u2019s time to check that your data meets the seven assumptions of a linear regression model. If you want a valid result from multiple regression analysis, these assumptions must be satisfied.<\/p><ol style=\"text-align: justify;\"><li>You must have three or more variables that are of metric scale (integer or ratio variables) and that can be measured on a continuous scale.<\/li><li>Your data cannot have any major outliers, or data points that exhibit excessive influence on the rest of the dataset.<\/li><li>Variable relationships exhibit (1) linearity &#8211; your response variable has a linear relationship with each of the predictor variables, and (2) additivity \u2013 the expected value of your response variable is based on the additive effects of the different predictor variables.<\/li><li>Your data shows an independence of observations, or in other words, there is no autocorrelation between variables.<\/li><li>Your data demonstrates an absence of multicollinearity.<\/li><li>Your data is homoscedastic.<\/li><li>Your residuals must be normally distributed.<\/li><\/ol><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">STEP 4. ADDRESSING POTENTIAL PROBLEMS WITH THE MODEL<\/h3><p style=\"text-align: justify;\">Most of the time, at least one of the model assumptions will be violated. In these cases, if you\u2019re careful, you may be able to either fix or minimize the problem(s) that are in conflict with the assumptions.<\/p><ul style=\"text-align: justify;\"><li>If your data is heteroscedastic, you can try transforming your response variable.<\/li><li>If your residuals are non-normal, you can either (1) check to see if your data could be broken into subsets that share more similar statistical distributions, and upon which you could build separate models OR (2) check to see if the problem is related to a few large outliers. If so, and if these are caused by a simple error or some sort of explainable, non-repeating event, then you may be able to remove these outliers to correct for the non-normality in residuals.<\/li><li>If you are seeing correlation between your predictor variables, try taking one of them out.<\/li><li>If your model is generating error due to the presence of missing values, try treating the missing values. You can also use dummy variables to cover for them.<\/li><\/ul><h3 style=\"font-size: 1.6em; letter-spacing: 1px;\">STEP 5. VALIDATING YOUR MODEL<\/h3><p style=\"text-align: justify;\">Now it\u2019s time to find out whether the model you\u2019ve chosen is valid. The following three methods will be helpful with that.<\/p><ul><li style=\"text-align: justify;\">Check the predicted values by collecting new data and checking it against results that are predicted by your model.<\/li><li style=\"text-align: justify;\">Check the results predicted by your model against your own common sense. If they clash, you\u2019ve got a problem.<\/li><li style=\"text-align: justify;\">Cross validate results by splitting your data into two randomly-selected samples. Use one half of the data to estimate model parameters. Use the other half for checking the predictive results of your model.<\/li><\/ul><h3>\u00a0<\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a7572d7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a7572d7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5d89a4d\" data-id=\"5d89a4d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b8722a7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b8722a7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1c26631\" data-id=\"1c26631\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-acd33a1 elementor-widget elementor-widget-heading\" data-id=\"acd33a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">More resources to get ahead...<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b323b60 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"b323b60\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-d981538 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d981538\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-24ed269\" data-id=\"24ed269\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b456a29 elementor-widget elementor-widget-image\" data-id=\"b456a29\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" data-pin-title=\"Checklist for Multiple Linear Regression\" width=\"800\" height=\"800\" data-src=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-1024x1024.png\" class=\"attachment-large size-large wp-image-13237 lazyload\" alt=\"\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-1024x1024.png 1024w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-300x300.png 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-150x150.png 150w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-768x768.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-90x90.png 90w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-600x600.png 600w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1-649x649.png 649w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-1.png 1080w\" data-sizes=\"(max-width: 800px) 100vw, 800px\" data-pin-url=\"https:\/\/www.data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\/?tp_image_id=13237\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 800px; --smush-placeholder-aspect-ratio: 800\/800;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-e34258e\" data-id=\"e34258e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0f5bd6b elementor-widget elementor-widget-heading\" data-id=\"0f5bd6b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Get Income-Generating Ideas For Data Professionals<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-54e9077 elementor-widget elementor-widget-heading\" data-id=\"54e9077\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Are you tired of relying on one employer for your income? Are you dreaming of a side hustle that won\u2019t put you at risk of getting fired or sued? Well, my friend, you\u2019re in luck.<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-a244e7f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a244e7f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-9622dcc\" data-id=\"9622dcc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-86dd2f6 elementor-widget elementor-widget-image\" data-id=\"86dd2f6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.data-mania.com\/data-entrepreneur-toolkit\/\">\n\t\t\t\t\t\t\t<img decoding=\"async\" data-pin-title=\"Checklist for Multiple Linear Regression\" width=\"800\" height=\"800\" data-src=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-1024x1024.png\" class=\"attachment-large size-large wp-image-13178 lazyload\" alt=\"ideas for data analyst side jobs\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-1024x1024.png 1024w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-300x300.png 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-150x150.png 150w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-768x768.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-90x90.png 90w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-1536x1536.png 1536w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-600x600.png 600w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs-649x649.png 649w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2023\/03\/ideas-for-data-analyst-side-jobs.png 1600w\" data-sizes=\"(max-width: 800px) 100vw, 800px\" data-pin-url=\"https:\/\/www.data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\/?tp_image_id=13178\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 800px; --smush-placeholder-aspect-ratio: 800\/800;\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-e1d4a9e\" data-id=\"e1d4a9e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-39beb2b elementor-widget elementor-widget-heading\" data-id=\"39beb2b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/www.data-mania.com\/data-entrepreneur-toolkit\/\">This 48-page listing is here to rescue you from the drudgery of corporate slavery and set you on the path to start earning more money from your existing data expertise. Spend just 1 hour with this pdf and I can guarantee you\u2019ll be bursting at the seams with practical, proven &amp; profitable ideas for new income-streams you can create from your existing expertise.\n<br><br>\n<u>Learn more here!<\/u><\/a><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-0356adb elementor-widget elementor-widget-spacer\" data-id=\"0356adb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-8c71d56 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8c71d56\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f55952f\" data-id=\"f55952f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9070e7d elementor-widget elementor-widget-image\" data-id=\"9070e7d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" data-pin-title=\"Checklist for Multiple Linear Regression\" width=\"800\" height=\"800\" data-src=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-1024x1024.png\" class=\"attachment-large size-large wp-image-13246 lazyload\" alt=\"\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-1024x1024.png 1024w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-300x300.png 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-150x150.png 150w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-768x768.png 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-90x90.png 90w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-600x600.png 600w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2-649x649.png 649w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-mania-freebie-2.png 1080w\" data-sizes=\"(max-width: 800px) 100vw, 800px\" data-pin-url=\"https:\/\/www.data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\/?tp_image_id=13246\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 800px; --smush-placeholder-aspect-ratio: 800\/800;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-bf99cfb\" data-id=\"bf99cfb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ff18fda elementor-widget elementor-widget-heading\" data-id=\"ff18fda\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Take The Data Superhero Quiz<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-c9a65d1 elementor-widget elementor-widget-heading\" data-id=\"c9a65d1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">You can take a much more direct path to the top once you understand how to leverage your skillsets, your talents, your personality and your passions in order to serve in a capacity where you\u2019ll thrive. That\u2019s why I\u2019m encouraging you to take the data superhero quiz.<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-699ecab elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"699ecab\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-93370a6\" data-id=\"93370a6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d7058a5 elementor-widget elementor-widget-image\" data-id=\"d7058a5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.data-mania.com\/data-superhero-quiz\/%20\">\n\t\t\t\t\t\t\t<img decoding=\"async\" data-pin-title=\"Checklist for Multiple Linear Regression\" width=\"800\" height=\"800\" data-src=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-1024x1024.jpg\" class=\"attachment-large size-large wp-image-13236 lazyload\" alt=\"\" data-srcset=\"https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-1024x1024.jpg 1024w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-300x300.jpg 300w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-150x150.jpg 150w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-768x768.jpg 768w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-90x90.jpg 90w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-600x600.jpg 600w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite-649x649.jpg 649w, https:\/\/www.data-mania.com\/blog\/wp-content\/uploads\/2022\/06\/data-superheros-quiz-invite.jpg 1080w\" data-sizes=\"(max-width: 800px) 100vw, 800px\" data-pin-url=\"https:\/\/www.data-mania.com\/blog\/a-5-step-checklist-for-multiple-linear-regression\/?tp_image_id=13236\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 800px; --smush-placeholder-aspect-ratio: 800\/800;\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-cc1fed1\" data-id=\"cc1fed1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6fc552e elementor-widget elementor-widget-heading\" data-id=\"6fc552e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/www.data-mania.com\/data-superhero-quiz\/%20\">This free and super-fun 45-second quiz is all about you and how your personality type aligns with the very best career path for you. It\u2019s fun, free and it will provide you personalized data career recommendations, complete with potential roles that fit your unique skills and passions, as well as salaries associated with those roles.\n<br><br>\n<u>Take the Data Superhero Quiz today!<\/u><\/a><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>A 5-Step Checklist for Multiple Linear Regression Multiple regression analysis is an extension of simple linear regression. It\u2019s useful for describing and making predictions based on linear relationships between predictor variables (ie; independent variables) and a response variable (ie; a dependent variable). Although multiple regression analysis is simpler than many other types of statistical modeling [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2760,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[582],"tags":[594,49,193,192,146],"class_list":["post-1371","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-startups","tag-checklist-for-multiple-linear-regression","tag-data-science","tag-free-download","tag-linear-regression","tag-statistics"],"_links":{"self":[{"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/posts\/1371","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/comments?post=1371"}],"version-history":[{"count":8,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/posts\/1371\/revisions"}],"predecessor-version":[{"id":20201,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/posts\/1371\/revisions\/20201"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/media\/2760"}],"wp:attachment":[{"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/media?parent=1371"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/categories?post=1371"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.data-mania.com\/blog\/wp-json\/wp\/v2\/tags?post=1371"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}