{"id":2169,"date":"2022-01-27T01:43:03","date_gmt":"2022-01-27T01:43:03","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=2169"},"modified":"2022-02-10T00:17:05","modified_gmt":"2022-02-10T00:17:05","slug":"17a","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/17a\/","title":{"raw":"17A","rendered":"17A"},"content":{"raw":"<div align=\"center\">\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Variable<\/strong><\/td>\r\n<td><strong>Description<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>ID<\/em><\/td>\r\n<td>Identification number<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Height<\/em><\/td>\r\n<td>Height in centimeters (cm)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Weight<\/em><\/td>\r\n<td>Weight in kilograms (kg)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Age<\/em><\/td>\r\n<td>Age in years<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Sex<\/em><\/td>\r\n<td>Male\/female<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Smokes<\/em><\/td>\r\n<td>Are you a regular smoker? (yes\/no)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Alcohol<\/em><\/td>\r\n<td>Are you a regular drinker? (yes\/no)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Exercise<\/em><\/td>\r\n<td>What is your frequency of exercise? (low, moderate, high)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>GroupAssignment<\/em><\/td>\r\n<td>Whether the student ran or sat between the first and second pulse measurements<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Pulse1<\/em><\/td>\r\n<td>First pulse measurement (rate per minute)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Pulse2<\/em><\/td>\r\n<td>Second pulse measurement (rate per minute)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Year<\/em><\/td>\r\n<td>Year of class (1993\u20131998)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div 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<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Estimate<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Intercept<\/strong><\/td>\r\n<td>11.61550<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong><em>math<\/em><\/strong><\/td>\r\n<td>0.4172<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong><em>read<\/em><\/strong><\/td>\r\n<td>0.36542<\/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><strong>Coefficients<\/strong><\/td>\r\n<td><strong>Estimate<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Intercept<\/td>\r\n<td>49.58930<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Age (yrs)<\/td>\r\n<td>0.16531<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Weight (lbs)<\/td>\r\n<td>0.22638<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Height (in)<\/td>\r\n<td>1.11680<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Variable<\/strong><\/td>\r\n<td><strong>Description<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>ID<\/em><\/td>\r\n<td>Identification number<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Height<\/em><\/td>\r\n<td>Height in centimeters (cm)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Weight<\/em><\/td>\r\n<td>Weight in kilograms (kg)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Age<\/em><\/td>\r\n<td>Age in years<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Sex<\/em><\/td>\r\n<td>Male\/female<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Smokes<\/em><\/td>\r\n<td>Are you a regular smoker? (yes\/no)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Alcohol<\/em><\/td>\r\n<td>Are you a regular drinker? (yes\/no)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Exercise<\/em><\/td>\r\n<td>What is your frequency of exercise? (low, moderate, high)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>GroupAssignment<\/em><\/td>\r\n<td>Whether the student ran or sat between the first and second pulse measurements<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Pulse1<\/em><\/td>\r\n<td>First pulse measurement (rate per minute)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Pulse2<\/em><\/td>\r\n<td>Second pulse measurement (rate per minute)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>Year<\/em><\/td>\r\n<td>Year of class (1993\u20131998)<\/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><strong>Coefficients<\/strong><\/td>\r\n<td><strong>Estimate<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Intercept<\/td>\r\n<td>86.96948<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Weight<\/td>\r\n<td>0.17002<\/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>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>Identify response and explanatory variables.<\/td>\r\n<td>1, 2, 7, 8<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the equation of the line of best fit for simple linear regression.<\/td>\r\n<td>4<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret the slope in the context of the data.<\/td>\r\n<td>5<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret the coefficient of determination.<\/td>\r\n<td>6<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret a scatterplot of a response variable and one explanatory variable.<\/td>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-2172\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014013\/Picture1134-300x212.png\" alt=\"A scatterplot titled \u201cScatterplot of Pulse 1 and Weight,\u201d with \u201cWeight (kg)\u201d on the x-axis and \u201cPulse 1\u201d on the y-axis. The points are arranged in somewhat of a cluster. Points with lower x-values have a slight tendency to have higher y-values.\" width=\"1165\" height=\"823\" \/> <img class=\"alignnone wp-image-2173\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014018\/Picture1141-300x200.jpg\" alt=\"A person in a wheelchair and wearing a disposable mask sitting at an outdoor table working on a laptop.\" width=\"944\" height=\"629\" \/> <img class=\"alignnone wp-image-2174\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014023\/Picture115-300x212.png\" alt=\"A scatterplot titled \u201cScatterplot of Math and Science Scores for High School Students.\u201d The x-axis is labeled \u201cmath test score\u201d and the y-axis is labeled \u201cscience test score.\u201d Points with higher x-values also tend to have higher y-values, with moderate consistency.\" width=\"1250\" height=\"883\" \/> <img class=\"alignnone wp-image-2175\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014027\/Picture116-300x211.png\" alt=\"A scatterplot titled \u201cScatterplot of Reading and Science Scores for High School Students.\u201d The x-axis is labeled \u201creading test score\u201d and the y-axis is labeled \u201cscience test score.\u201d Points with higher x-values also tend to have higher y-values, with moderate consistency.\" width=\"938\" height=\"660\" \/> <img class=\"alignnone wp-image-2176\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014032\/Picture117-300x239.png\" alt=\"A residual plot titled \u201cResiduals vs. Fitted,\u201d with \u201cFitted Value\u201d on the x-axis and \u201cResidual\u201d on the y-axis. The points appear to have no pattern.\" width=\"1171\" height=\"933\" \/> <img class=\"alignnone wp-image-2177\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014037\/Picture118-300x212.png\" alt=\"A residual plot titled \u201cResiduals vs. Math Test Scores,\u201d with \u201cMath Test Scores\u201d on the x-axis and \u201cResiduals\u201d on the y-axis. The points appear to have no pattern.\" width=\"944\" height=\"667\" \/> <img class=\"alignnone wp-image-2178\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014043\/Picture119-300x212.png\" alt=\"A residual plot titled \u201cResiduals vs. Reading Test Scores,\u201d with \u201cReading Test Scores\u201d on the x-axis and \u201cResidual\u201d on the y-axis. The points appear to have no pattern.\" width=\"958\" height=\"677\" \/>\r\n\r\nGlossary\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>multiple linear regression model<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">a linear regression model with two or more explanatory variables.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>partial slopes<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">the regression coefficients for explanatory variables in multiple linear regression.<\/dd>\r\n<\/dl>","rendered":"<div style=\"margin: auto;\">\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Variable<\/strong><\/td>\n<td><strong>Description<\/strong><\/td>\n<\/tr>\n<tr>\n<td><em>ID<\/em><\/td>\n<td>Identification number<\/td>\n<\/tr>\n<tr>\n<td><em>Height<\/em><\/td>\n<td>Height in centimeters (cm)<\/td>\n<\/tr>\n<tr>\n<td><em>Weight<\/em><\/td>\n<td>Weight in kilograms (kg)<\/td>\n<\/tr>\n<tr>\n<td><em>Age<\/em><\/td>\n<td>Age in years<\/td>\n<\/tr>\n<tr>\n<td><em>Sex<\/em><\/td>\n<td>Male\/female<\/td>\n<\/tr>\n<tr>\n<td><em>Smokes<\/em><\/td>\n<td>Are you a regular smoker? (yes\/no)<\/td>\n<\/tr>\n<tr>\n<td><em>Alcohol<\/em><\/td>\n<td>Are you a regular drinker? (yes\/no)<\/td>\n<\/tr>\n<tr>\n<td><em>Exercise<\/em><\/td>\n<td>What is your frequency of exercise? (low, moderate, high)<\/td>\n<\/tr>\n<tr>\n<td><em>GroupAssignment<\/em><\/td>\n<td>Whether the student ran or sat between the first and second pulse measurements<\/td>\n<\/tr>\n<tr>\n<td><em>Pulse1<\/em><\/td>\n<td>First pulse measurement (rate per minute)<\/td>\n<\/tr>\n<tr>\n<td><em>Pulse2<\/em><\/td>\n<td>Second pulse measurement (rate per minute)<\/td>\n<\/tr>\n<tr>\n<td><em>Year<\/em><\/td>\n<td>Year of class (1993\u20131998)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div style=\"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 style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Estimate<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Intercept<\/strong><\/td>\n<td>11.61550<\/td>\n<\/tr>\n<tr>\n<td><strong><em>math<\/em><\/strong><\/td>\n<td>0.4172<\/td>\n<\/tr>\n<tr>\n<td><strong><em>read<\/em><\/strong><\/td>\n<td>0.36542<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Coefficients<\/strong><\/td>\n<td><strong>Estimate<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Intercept<\/td>\n<td>49.58930<\/td>\n<\/tr>\n<tr>\n<td>Age (yrs)<\/td>\n<td>0.16531<\/td>\n<\/tr>\n<tr>\n<td>Weight (lbs)<\/td>\n<td>0.22638<\/td>\n<\/tr>\n<tr>\n<td>Height (in)<\/td>\n<td>1.11680<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<table>\n<tbody>\n<tr>\n<td><strong>Variable<\/strong><\/td>\n<td><strong>Description<\/strong><\/td>\n<\/tr>\n<tr>\n<td><em>ID<\/em><\/td>\n<td>Identification number<\/td>\n<\/tr>\n<tr>\n<td><em>Height<\/em><\/td>\n<td>Height in centimeters (cm)<\/td>\n<\/tr>\n<tr>\n<td><em>Weight<\/em><\/td>\n<td>Weight in kilograms (kg)<\/td>\n<\/tr>\n<tr>\n<td><em>Age<\/em><\/td>\n<td>Age in years<\/td>\n<\/tr>\n<tr>\n<td><em>Sex<\/em><\/td>\n<td>Male\/female<\/td>\n<\/tr>\n<tr>\n<td><em>Smokes<\/em><\/td>\n<td>Are you a regular smoker? (yes\/no)<\/td>\n<\/tr>\n<tr>\n<td><em>Alcohol<\/em><\/td>\n<td>Are you a regular drinker? (yes\/no)<\/td>\n<\/tr>\n<tr>\n<td><em>Exercise<\/em><\/td>\n<td>What is your frequency of exercise? (low, moderate, high)<\/td>\n<\/tr>\n<tr>\n<td><em>GroupAssignment<\/em><\/td>\n<td>Whether the student ran or sat between the first and second pulse measurements<\/td>\n<\/tr>\n<tr>\n<td><em>Pulse1<\/em><\/td>\n<td>First pulse measurement (rate per minute)<\/td>\n<\/tr>\n<tr>\n<td><em>Pulse2<\/em><\/td>\n<td>Second pulse measurement (rate per minute)<\/td>\n<\/tr>\n<tr>\n<td><em>Year<\/em><\/td>\n<td>Year of class (1993\u20131998)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Coefficients<\/strong><\/td>\n<td><strong>Estimate<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Intercept<\/td>\n<td>86.96948<\/td>\n<\/tr>\n<tr>\n<td>Weight<\/td>\n<td>0.17002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"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>Identify response and explanatory variables.<\/td>\n<td>1, 2, 7, 8<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write the equation of the line of best fit for simple linear regression.<\/td>\n<td>4<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret the slope in the context of the data.<\/td>\n<td>5<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret the coefficient of determination.<\/td>\n<td>6<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret a scatterplot of a response variable and one explanatory variable.<\/td>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2172\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014013\/Picture1134-300x212.png\" alt=\"A scatterplot titled \u201cScatterplot of Pulse 1 and Weight,\u201d with \u201cWeight (kg)\u201d on the x-axis and \u201cPulse 1\u201d on the y-axis. The points are arranged in somewhat of a cluster. Points with lower x-values have a slight tendency to have higher y-values.\" width=\"1165\" height=\"823\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2173\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014018\/Picture1141-300x200.jpg\" alt=\"A person in a wheelchair and wearing a disposable mask sitting at an outdoor table working on a laptop.\" width=\"944\" height=\"629\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2174\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014023\/Picture115-300x212.png\" alt=\"A scatterplot titled \u201cScatterplot of Math and Science Scores for High School Students.\u201d The x-axis is labeled \u201cmath test score\u201d and the y-axis is labeled \u201cscience test score.\u201d Points with higher x-values also tend to have higher y-values, with moderate consistency.\" width=\"1250\" height=\"883\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2175\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014027\/Picture116-300x211.png\" alt=\"A scatterplot titled \u201cScatterplot of Reading and Science Scores for High School Students.\u201d The x-axis is labeled \u201creading test score\u201d and the y-axis is labeled \u201cscience test score.\u201d Points with higher x-values also tend to have higher y-values, with moderate consistency.\" width=\"938\" height=\"660\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2176\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014032\/Picture117-300x239.png\" alt=\"A residual plot titled \u201cResiduals vs. Fitted,\u201d with \u201cFitted Value\u201d on the x-axis and \u201cResidual\u201d on the y-axis. The points appear to have no pattern.\" width=\"1171\" height=\"933\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2177\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014037\/Picture118-300x212.png\" alt=\"A residual plot titled \u201cResiduals vs. Math Test Scores,\u201d with \u201cMath Test Scores\u201d on the x-axis and \u201cResiduals\u201d on the y-axis. The points appear to have no pattern.\" width=\"944\" height=\"667\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2178\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27014043\/Picture119-300x212.png\" alt=\"A residual plot titled \u201cResiduals vs. Reading Test Scores,\u201d with \u201cReading Test Scores\u201d on the x-axis and \u201cResidual\u201d on the y-axis. The points appear to have no pattern.\" width=\"958\" height=\"677\" \/><\/p>\n<p>Glossary<\/p>\n<\/div>\n<\/div>\n<\/div>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>multiple linear regression model<\/dt>\n<dd id=\"fs-id1170572229174\">a linear regression model with two or more explanatory variables.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>partial slopes<\/dt>\n<dd id=\"fs-id1170572229195\">the regression coefficients for explanatory variables in multiple linear regression.<\/dd>\n<\/dl>\n","protected":false},"author":23592,"menu_order":58,"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-2169","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2169","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":4,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2169\/revisions"}],"predecessor-version":[{"id":2780,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2169\/revisions\/2780"}],"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\/2169\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2169"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2169"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2169"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}