{"id":1481,"date":"2023-06-22T02:36:51","date_gmt":"2023-06-22T02:36:51","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/multiple-linear-regression-learn-it-1\/"},"modified":"2025-05-17T02:42:36","modified_gmt":"2025-05-17T02:42:36","slug":"multiple-linear-regression-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/multiple-linear-regression-learn-it-1\/","title":{"raw":"Multiple Linear Regression - Learn It 1","rendered":"Multiple Linear Regression &#8211; Learn It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write and describe a multiple linear regression model equation&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Write and describe a multiple linear regression model equation<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate and describe the unadjusted coefficient of determination&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate and describe the unadjusted coefficient of determination<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Assess the model assumptions with a residual or a predicted values plot&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Assess the model assumptions with a residual or a predicted values plot<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>High School and Beyond<\/h2>\r\n<p><img class=\"aligncenter wp-image-2212 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2023\/04\/24193900\/Picture1-3-2.jpg\" alt=\"Person wearing a mask sitting at a table reading a book taking notes on a computer.\" width=\"300\" height=\"201\" \/><\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3226[\/ohm2_question]<\/section>\r\n<p>The data set that we will be using in this in-class activity is called \u201cHigh School and Beyond\u201d and contains information about high school student achievement scores on math, science, reading, writing, and social studies tests. The data set contains information about [latex]200[\/latex] high school students and [latex]10[\/latex] variables for each student.<\/p>\r\n<p>The data collected about each student includes the following: identification number, whether the student identifies as male or female, race, socio-economic status, school type, program type, and scores from tests of reading, writing, math, science, and social studies.<br \/>\r\n[reveal-answer q=\"924988\"]Descriptions of the variables[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"924988\"]Descriptions of the variables are as follows:<\/p>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Variable name<\/strong><\/td>\r\n<td><strong>Definition<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>id<\/em><\/td>\r\n<td>Identification number of the student<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>female<\/em><\/td>\r\n<td>Gender of the student (0 = male, 1 = female)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>race<\/em><\/td>\r\n<td>Ethnic background of the student (1 = Hispanic, 2 = Asian, 3 = Black, 4 = White)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>ses<\/em><\/td>\r\n<td>Socio-economic status of the student (1 = low, 2 = medium, 3 = high)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>schtyp<\/em><\/td>\r\n<td>School type (1 = public, 2 = private)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>prog<\/em><\/td>\r\n<td>Program type (1 = general, 2 = academic preparatory, 3 = vocational\/technical)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>read<\/em><\/td>\r\n<td>Score from test of reading<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>write<\/em><\/td>\r\n<td>Score from test of writing<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>math<\/em><\/td>\r\n<td>Score from test of math<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>science<\/em><\/td>\r\n<td>Score from test of science<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>socst<\/em><\/td>\r\n<td>Score from test of social studies<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<p><strong>Research Question:\u00a0<\/strong>Is there a relationship between science scores for high school students and math and reading scores?<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3227[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3228[\/ohm2_question]<\/section>\r\n<section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3229[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3230[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3231[\/ohm2_question]<\/section>\r\n<\/section>\r\n<\/div>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write and describe a multiple linear regression model equation&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Write and describe a multiple linear regression model equation<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate and describe the unadjusted coefficient of determination&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Calculate and describe the unadjusted coefficient of determination<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Assess the model assumptions with a residual or a predicted values plot&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Assess the model assumptions with a residual or a predicted values plot<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>High School and Beyond<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2212 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2023\/04\/24193900\/Picture1-3-2.jpg\" alt=\"Person wearing a mask sitting at a table reading a book taking notes on a computer.\" width=\"300\" height=\"201\" \/><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3226\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3226&theme=lumen&iframe_resize_id=ohm3226&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>The data set that we will be using in this in-class activity is called \u201cHigh School and Beyond\u201d and contains information about high school student achievement scores on math, science, reading, writing, and social studies tests. The data set contains information about [latex]200[\/latex] high school students and [latex]10[\/latex] variables for each student.<\/p>\n<p>The data collected about each student includes the following: identification number, whether the student identifies as male or female, race, socio-economic status, school type, program type, and scores from tests of reading, writing, math, science, and social studies.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q924988\">Descriptions of the variables<\/button><\/p>\n<div id=\"q924988\" class=\"hidden-answer\" style=\"display: none\">Descriptions of the variables are as follows:<\/p>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Variable name<\/strong><\/td>\n<td><strong>Definition<\/strong><\/td>\n<\/tr>\n<tr>\n<td><em>id<\/em><\/td>\n<td>Identification number of the student<\/td>\n<\/tr>\n<tr>\n<td><em>female<\/em><\/td>\n<td>Gender of the student (0 = male, 1 = female)<\/td>\n<\/tr>\n<tr>\n<td><em>race<\/em><\/td>\n<td>Ethnic background of the student (1 = Hispanic, 2 = Asian, 3 = Black, 4 = White)<\/td>\n<\/tr>\n<tr>\n<td><em>ses<\/em><\/td>\n<td>Socio-economic status of the student (1 = low, 2 = medium, 3 = high)<\/td>\n<\/tr>\n<tr>\n<td><em>schtyp<\/em><\/td>\n<td>School type (1 = public, 2 = private)<\/td>\n<\/tr>\n<tr>\n<td><em>prog<\/em><\/td>\n<td>Program type (1 = general, 2 = academic preparatory, 3 = vocational\/technical)<\/td>\n<\/tr>\n<tr>\n<td><em>read<\/em><\/td>\n<td>Score from test of reading<\/td>\n<\/tr>\n<tr>\n<td><em>write<\/em><\/td>\n<td>Score from test of writing<\/td>\n<\/tr>\n<tr>\n<td><em>math<\/em><\/td>\n<td>Score from test of math<\/td>\n<\/tr>\n<tr>\n<td><em>science<\/em><\/td>\n<td>Score from test of science<\/td>\n<\/tr>\n<tr>\n<td><em>socst<\/em><\/td>\n<td>Score from test of social studies<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><strong>Research Question:\u00a0<\/strong>Is there a relationship between science scores for high school students and math and reading scores?<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3227\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3227&theme=lumen&iframe_resize_id=ohm3227&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3228\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3228&theme=lumen&iframe_resize_id=ohm3228&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3229\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3229&theme=lumen&iframe_resize_id=ohm3229&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3230\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3230&theme=lumen&iframe_resize_id=ohm3230&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3231\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3231&theme=lumen&iframe_resize_id=ohm3231&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<\/section>\n<\/div>\n","protected":false},"author":8,"menu_order":8,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1473,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1481"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1481\/revisions"}],"predecessor-version":[{"id":6906,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1481\/revisions\/6906"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1473"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1481\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1481"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1481"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1481"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}