{"id":281,"date":"2023-02-20T17:14:26","date_gmt":"2023-02-20T17:14:26","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/assessing-the-fit-of-a-line-apply-it-2\/"},"modified":"2025-05-11T23:24:19","modified_gmt":"2025-05-11T23:24:19","slug":"assessing-the-fit-of-a-line-apply-it-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/assessing-the-fit-of-a-line-apply-it-2\/","title":{"raw":"Assessing the Fit of a Line: Apply It 2","rendered":"Assessing the Fit of a Line: Apply It 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Describe the connection between the residual and the position of a data point relative to the line of best fit.<\/li>\r\n\t<li>Create and use a residual plot to identify influential points and determine the most appropriate regression model.<\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Determine the reliability of predictions from the line of best fit using the residuals and standard error of the residuals&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;}\">Determine the reliability of predictions from the line of best fit using the residuals and standard error of the residuals.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Residual Plots<\/h2>\r\n<p class=\"student12ptnumberlist\" style=\"margin-left: 0in; text-indent: 0in;\">Residual plots emphasize the residual values in our model. The following scatterplot and corresponding residual plot show that our linear regression model is appropriate<strong>.<\/strong> The residual values appear to be randomly scattered across the x-values, with no clear patterns or changes in variability.<\/p>\r\n\r\n[caption id=\"attachment_1273\" align=\"aligncenter\" width=\"936\"]<img class=\"wp-image-1273 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/01234304\/Picture1.png\" alt=\"Example images of a scatterplot on the left and a residual plot on the right.\" width=\"936\" height=\"370\" \/> Figure 1. The scatterplot shows a clear linear trend, and the residual plot confirms the model is appropriate with no visible pattern in the residuals.[\/caption]\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1327[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1329[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Describe the connection between the residual and the position of a data point relative to the line of best fit.<\/li>\n<li>Create and use a residual plot to identify influential points and determine the most appropriate regression model.<\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Determine the reliability of predictions from the line of best fit using the residuals and standard error of the residuals&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;}\">Determine the reliability of predictions from the line of best fit using the residuals and standard error of the residuals.<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Residual Plots<\/h2>\n<p class=\"student12ptnumberlist\" style=\"margin-left: 0in; text-indent: 0in;\">Residual plots emphasize the residual values in our model. The following scatterplot and corresponding residual plot show that our linear regression model is appropriate<strong>.<\/strong> The residual values appear to be randomly scattered across the x-values, with no clear patterns or changes in variability.<\/p>\n<figure id=\"attachment_1273\" aria-describedby=\"caption-attachment-1273\" style=\"width: 936px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1273 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/01234304\/Picture1.png\" alt=\"Example images of a scatterplot on the left and a residual plot on the right.\" width=\"936\" height=\"370\" \/><figcaption id=\"caption-attachment-1273\" class=\"wp-caption-text\">Figure 1. The scatterplot shows a clear linear trend, and the residual plot confirms the model is appropriate with no visible pattern in the residuals.<\/figcaption><\/figure>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1327\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1327&theme=lumen&iframe_resize_id=ohm1327&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1329\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1329&theme=lumen&iframe_resize_id=ohm1329&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":34,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":225,"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\/281"}],"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\/12"}],"version-history":[{"count":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/281\/revisions"}],"predecessor-version":[{"id":6665,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/281\/revisions\/6665"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/225"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/281\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=281"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=281"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=281"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}