{"id":2128,"date":"2022-01-27T00:48:59","date_gmt":"2022-01-27T00:48:59","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=2128"},"modified":"2022-02-09T23:18:12","modified_gmt":"2022-02-09T23:18:12","slug":"16b","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/16b\/","title":{"raw":"16B","rendered":"16B"},"content":{"raw":"<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Group<\/td>\r\n<td>2<\/td>\r\n<td>614.6<\/td>\r\n<td>307.3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Error<\/td>\r\n<td>69<\/td>\r\n<td>3911<\/td>\r\n<td>56.681<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><strong>71<\/strong><\/td>\r\n<td><strong>4525.6<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Group<\/td>\r\n<td>2<\/td>\r\n<td>36.0<\/td>\r\n<td>18.0<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Error<\/td>\r\n<td>21<\/td>\r\n<td>134.6<\/td>\r\n<td>6.41<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><strong>23<\/strong><\/td>\r\n<td><strong>170.6<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>SSTotal = 0<\/td>\r\n<td>SSRegression = 0\r\n\r\n(but SSTotal \u00a00)<\/td>\r\n<td>SSResiduals = 0\r\n\r\n(but SSTotal \u00a00)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Regression<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Residuals<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Regression<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Residuals<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><strong>\u00a0<\/strong><\/td>\r\n<td><strong>\u00a0<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Regression<\/td>\r\n<td><\/td>\r\n<td>2365.0<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Residuals<\/td>\r\n<td><\/td>\r\n<td>525.1<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total<\/strong><\/td>\r\n<td><strong>\u00a0<\/strong><\/td>\r\n<td><strong>2890.1<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Source<\/td>\r\n<td>Df<\/td>\r\n<td>Sum sq<\/td>\r\n<td>Mean sq<\/td>\r\n<td>F value<\/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<td><\/td>\r\n<td><\/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<td><\/td>\r\n<td><\/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<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use an ANOVA table to organize sums of squares and calculate an F-statistic.<\/td>\r\n<td>1 and 2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret the coefficient of determination () in context.<\/td>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use appropriate symbols to represent sample means, actual values, and predicted values.<\/td>\r\n<td>4 and 5<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-2141\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004648\/Picture89-300x200.jpg\" alt=\"An assortment of fresh produce and other foods\" width=\"1244\" height=\"829\" \/> <img class=\"alignnone wp-image-2142\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004652\/Picture902-300x240.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a horizontal line at approximately y = 7.5.\" width=\"943\" height=\"754\" \/> <img class=\"alignnone wp-image-2143\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004657\/Picture912-300x240.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a horizontal line at approximately y = 7.5. There is also a sloped line extending from approximately (0, 0) to approximately (12, 15).\" width=\"943\" height=\"754\" \/> <img class=\"alignnone wp-image-2144\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004700\/Picture922.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a sloped line extending from approximately (0, 0) to approximately (12, 15).\" width=\"944\" height=\"753\" \/> <img class=\"alignnone wp-image-2145\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004704\/Picture932-300x197.png\" alt=\"A scatterplot with points clustered close to the line.\" width=\"871\" height=\"572\" \/> <img class=\"alignnone wp-image-2146\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004708\/Picture941-300x201.png\" alt=\"A scatterplot with points clustered somewhat close to the line.\" width=\"1243\" height=\"833\" \/> <img class=\"alignnone wp-image-2147\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004712\/Picture952-300x121.png\" alt=\"A graph numbered in increments of 0.5 on the x-axis There is a point mu at approximately 1.2. The graph has a negative exponential slope; at 0.0, the y-value is very high and then the slope drops very quickly as x-values increase.\" width=\"798\" height=\"322\" \/>\r\n\r\nGlossary\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>complex fraction<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">a fraction in which the numerator and\/or the denominator include fractions.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Group<\/td>\n<td>2<\/td>\n<td>614.6<\/td>\n<td>307.3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Error<\/td>\n<td>69<\/td>\n<td>3911<\/td>\n<td>56.681<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>71<\/strong><\/td>\n<td><strong>4525.6<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Group<\/td>\n<td>2<\/td>\n<td>36.0<\/td>\n<td>18.0<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Error<\/td>\n<td>21<\/td>\n<td>134.6<\/td>\n<td>6.41<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>23<\/strong><\/td>\n<td><strong>170.6<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>SSTotal = 0<\/td>\n<td>SSRegression = 0<\/p>\n<p>(but SSTotal \u00a00)<\/td>\n<td>SSResiduals = 0<\/p>\n<p>(but SSTotal \u00a00)<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Regression<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Residuals<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Regression<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Residuals<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>\u00a0<\/strong><\/td>\n<td><strong>\u00a0<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Regression<\/td>\n<td><\/td>\n<td>2365.0<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Residuals<\/td>\n<td><\/td>\n<td>525.1<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total<\/strong><\/td>\n<td><strong>\u00a0<\/strong><\/td>\n<td><strong>2890.1<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Source<\/td>\n<td>Df<\/td>\n<td>Sum sq<\/td>\n<td>Mean sq<\/td>\n<td>F value<\/td>\n<\/tr>\n<tr>\n<td>Group<\/td>\n<td>2<\/td>\n<td>177.4<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Error<\/td>\n<td>27<\/td>\n<td>5715.0<\/td>\n<td><\/td>\n<td><\/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<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Use an ANOVA table to organize sums of squares and calculate an F-statistic.<\/td>\n<td>1 and 2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret the coefficient of determination () in context.<\/td>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Use appropriate symbols to represent sample means, actual values, and predicted values.<\/td>\n<td>4 and 5<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2141\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004648\/Picture89-300x200.jpg\" alt=\"An assortment of fresh produce and other foods\" width=\"1244\" height=\"829\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2142\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004652\/Picture902-300x240.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a horizontal line at approximately y = 7.5.\" width=\"943\" height=\"754\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2143\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004657\/Picture912-300x240.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a horizontal line at approximately y = 7.5. There is also a sloped line extending from approximately (0, 0) to approximately (12, 15).\" width=\"943\" height=\"754\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2144\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004700\/Picture922.png\" alt=\"A scatterplot with points that generally have higher y-values when they also have higher x-values. There is a sloped line extending from approximately (0, 0) to approximately (12, 15).\" width=\"944\" height=\"753\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2145\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004704\/Picture932-300x197.png\" alt=\"A scatterplot with points clustered close to the line.\" width=\"871\" height=\"572\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2146\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004708\/Picture941-300x201.png\" alt=\"A scatterplot with points clustered somewhat close to the line.\" width=\"1243\" height=\"833\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2147\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27004712\/Picture952-300x121.png\" alt=\"A graph numbered in increments of 0.5 on the x-axis There is a point mu at approximately 1.2. The graph has a negative exponential slope; at 0.0, the y-value is very high and then the slope drops very quickly as x-values increase.\" width=\"798\" height=\"322\" \/><\/p>\n<p>Glossary<\/p>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>complex fraction<\/dt>\n<dd id=\"fs-id1170572229174\">a fraction in which the numerator and\/or the denominator include fractions.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":56,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2128","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2128\/revisions"}],"predecessor-version":[{"id":2663,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2128\/revisions\/2663"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2128\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2128"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2128"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2128"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}