{"id":1457,"date":"2023-06-22T02:28:49","date_gmt":"2023-06-22T02:28:49","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/anova-for-regression-apply-it-1\/"},"modified":"2025-05-17T02:35:58","modified_gmt":"2025-05-17T02:35:58","slug":"anova-for-regression-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/anova-for-regression-apply-it-1\/","title":{"raw":"ANOVA for Regression - Apply It 1","rendered":"ANOVA for Regression &#8211; Apply 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;Understand what is measured by SSRegression, SSResiduals, and SSTotal in a regression context&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;}\">Understand what is measured by SSRegression, SSResiduals, and SSTotal in a regression context<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Discuss the factors that affect the value of F-statistics in a regression context&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;}\">Discuss the factors that affect the value of F-statistics in a regression context<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Memory Game<\/h2>\r\n<p>Concentration is a memory game in which cards are laid face down on a table, and two cards are flipped face up during each turn. The object of the game is to turn over matching pairs of cards. An online version of this game includes three different sets of cards: one has images of animals on the cards, one has images of babies, and one has images of holiday scenes.<\/p>\r\n<p><strong>Question!<\/strong> Are these three versions equally difficult?<\/p>\r\n<p>To investigate, a teacher randomly assigned her students to three groups, and each group played a different version of the game. They recorded the amount of time (in seconds) it took to complete the game.<\/p>\r\n<p>Below is the partially filled-in ANOVA table.<\/p>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Source<\/strong><\/td>\r\n<td><strong>Df<\/strong><\/td>\r\n<td><strong>Sum sq<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Group<\/td>\r\n<td>2<\/td>\r\n<td>177.4<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Error<\/td>\r\n<td>27<\/td>\r\n<td>5715.0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><strong>29<\/strong><\/td>\r\n<td><strong>5892.4<\/strong><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3055[\/ohm2_question]<\/section>\r\n<section><\/section>\r\n<section><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" width=\"100%\" height=\"700\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3056[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Understand what is measured by SSRegression, SSResiduals, and SSTotal in a regression context&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;}\">Understand what is measured by SSRegression, SSResiduals, and SSTotal in a regression context<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Discuss the factors that affect the value of F-statistics in a regression context&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;}\">Discuss the factors that affect the value of F-statistics in a regression context<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Memory Game<\/h2>\n<p>Concentration is a memory game in which cards are laid face down on a table, and two cards are flipped face up during each turn. The object of the game is to turn over matching pairs of cards. An online version of this game includes three different sets of cards: one has images of animals on the cards, one has images of babies, and one has images of holiday scenes.<\/p>\n<p><strong>Question!<\/strong> Are these three versions equally difficult?<\/p>\n<p>To investigate, a teacher randomly assigned her students to three groups, and each group played a different version of the game. They recorded the amount of time (in seconds) it took to complete the game.<\/p>\n<p>Below is the partially filled-in ANOVA table.<\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Source<\/strong><\/td>\n<td><strong>Df<\/strong><\/td>\n<td><strong>Sum sq<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Group<\/td>\n<td>2<\/td>\n<td>177.4<\/td>\n<\/tr>\n<tr>\n<td>Error<\/td>\n<td>27<\/td>\n<td>5715.0<\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>29<\/strong><\/td>\n<td><strong>5892.4<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3055\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3055&theme=lumen&iframe_resize_id=ohm3055&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section><\/section>\n<section><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" width=\"100%\" height=\"700\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3056\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3056&theme=lumen&iframe_resize_id=ohm3056&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":17,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1438,"module-header":"apply_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\/1457"}],"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":5,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1457\/revisions"}],"predecessor-version":[{"id":6895,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1457\/revisions\/6895"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1438"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1457\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1457"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1457"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1457"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}