{"id":5559,"date":"2022-09-21T20:56:55","date_gmt":"2022-09-21T20:56:55","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=5559"},"modified":"2022-10-18T07:42:28","modified_gmt":"2022-10-18T07:42:28","slug":"17c-inclass","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/17c-inclass\/","title":{"raw":"17C InClass","rendered":"17C InClass"},"content":{"raw":"
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Question 1<\/h3>\r\n1) From the candy rankings dataset, do you think the effect of sugar percentile on win percentage differs depending on whether or not the candy contains peanuts, peanut butter, or almonds?\r\n\r\n<\/div>\r\n<\/div>\r\n
You will continue using the candy rankings dataset in this in-class activity. The dataset is about information from 269,000 matchups between candies to find the candy that most people prefer. The dataset contains information about 85 candies and 12 variables. The dataset is contained in spreadsheet DCMP_STAT_17C_candy_rankings.The following is information about the variable names and definitions:<\/div>\r\n
\r\n\r\n[caption id=\"\" align=\"alignnone\" width=\"300\"]\"An Credit: iStock\/a_namenko[\/caption]\r\n\r\n<\/div>\r\n<\/div>\r\n
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Variable name<\/strong><\/td>\r\nDefinition<\/strong><\/td>\r\n<\/tr>\r\n
competitorname<\/em><\/td>\r\nThe name of the Halloween candy<\/td>\r\n<\/tr>\r\n
chocolate<\/em><\/td>\r\nDoes it contain chocolate?<\/td>\r\n<\/tr>\r\n
fruity<\/em><\/td>\r\nIs it fruit flavored?<\/td>\r\n<\/tr>\r\n
caramel<\/em><\/td>\r\nIs there caramel in the candy?<\/td>\r\n<\/tr>\r\n
peanutyalmondy<\/em><\/td>\r\nDoes it contain peanuts, peanut butter, or almonds?<\/td>\r\n<\/tr>\r\n
nougat<\/em><\/td>\r\nDoes it contain nougat?<\/td>\r\n<\/tr>\r\n
crispedricewafer<\/em><\/td>\r\nDoes it contain crisped rice, wafers, or a cookie component?<\/td>\r\n<\/tr>\r\n
hard<\/em><\/td>\r\nIs it a hard candy?<\/td>\r\n<\/tr>\r\n
bar<\/em><\/td>\r\nIs it a candy bar?<\/td>\r\n<\/tr>\r\n
pluribus<\/em><\/td>\r\nIs it one of many candies in a bag or box?<\/td>\r\n<\/tr>\r\n
sugarpercent<\/em><\/td>\r\nThe percentile of sugar it falls under within the dataset.<\/td>\r\n<\/tr>\r\n
pricepercent<\/em><\/td>\r\nThe unit price percentile compared to the rest of the set.<\/td>\r\n<\/tr>\r\n
winpercent<\/em><\/td>\r\nThe overall win percentage according to 269,000 matchups.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
Questions 2\u20135: We are interested in answering the following question,\u201cDoes the percentile of sugar and whether the candy contains peanuts, peanut butter, or almonds in it influence the overall average win percentage for the candy?\u201d<\/div>\r\n
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Question 2<\/h3>\r\n2) What is the response variable? Identify the variable name from the dataset.\r\n\r\n<\/div>\r\n<\/div>\r\n
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Question 3<\/h3>\r\n3) What are the explanatory variables? Identify the variable names from the dataset and whether they are categorical or continuous.\r\n\r\n<\/div>\r\n<\/div>\r\n
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Question 4<\/h3>\r\n
4) The reference group of interest for the variable peanuty almondy is there is no peanuts, peanut butter, or almonds in the candy.<\/div>\r\n
Part A: How many indicator variables are needed for the variable?<\/div>\r\n
Part B: How would you define the values for the indicator variablepeanut,given the reference group of interest?<\/div>\r\n<\/div>\r\n<\/div>\r\n
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Question 5<\/h3>\r\n
5) Giventhe fitted model coefficients in thefollowingtable, consider theregression model that can answerthe question of interest.\"A\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Parameter<\/strong><\/td>\r\nEstimate<\/strong><\/td>\r\nStandard\r\nerror<\/strong><\/td>\r\nt-value<\/strong><\/td>\r\nPr\u00a0>\u00a0|t|<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n
Intercept<\/strong><\/td>\r\n42.93<\/td>\r\n2.88<\/td>\r\n14.91<\/td>\r\n<.0001<\/td>\r\n<\/tr>\r\n
peanutyalmondy<\/em><\/strong> = TRUE<\/strong><\/td>\r\n15.34<\/td>\r\n3.90<\/td>\r\n3.93<\/td>\r\n0.0002<\/td>\r\n<\/tr>\r\n
sugarpercent<\/em><\/strong><\/td>\r\n10.14<\/td>\r\n5.15<\/td>\r\n1.97<\/td>\r\n0.0523<\/td>\r\n<\/tr>\r\n
Elevation_Feet<\/em><\/strong> * Direction<\/em> = east<\/strong><\/td>\r\n-0.001<\/td>\r\n0.003<\/td>\r\n-0.44<\/td>\r\n0.6629<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
Part A: What is the full equation for the model?<\/div>\r\n
Part B: What is the equation of the model for acandy that contains peanuts, peanut butter, or almonds?Write it in the most simplified form.<\/div>\r\n
Part C: What is the equation ofthe model for acandy that doesnotcontain peanuts, peanut butter, or almonds?<\/div>\r\n<\/div>\r\n<\/div>\r\n
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Question 6<\/h3>\r\n6) What is the interpretation for the regression coefficient fora candy that contains peanuts, peanut butter,or almonds? Hint: What is the reference group for the interpretation?\r\n\r\n<\/div>\r\n<\/div>\r\n
Questions 7\u201310: We want to investigate whether the effect of sugar percentile on win percentage differs depending on whether or not the candy has peanuts, peanut butter, or almonds. In this case, we would want to investigate an interaction term.<\/div>\r\n
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Question 7<\/h3>\r\n7) What additional term would need to be added to the multiple linear regression model? Define the additional term using variables from the dataset.\r\n\r\n<\/div>\r\n<\/div>\r\n
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Question 8<\/h3>\r\n8) Explain why or why not the question from the start of the activity (\u201cDoes the percentile of sugar and whether the candy contains peanuts, peanut butter, or almonds in it influence the overall average win percentage for the candy?\u201d) differs from the statement under investigation.\r\n\r\n<\/div>\r\n<\/div>\r\n
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Question 9<\/h3>\r\n9) The new fitted model is presented in the following figure. How does this model differ from the one in Question 5?\r\n\r\n\"A\r\n\r\n<\/div>\r\n<\/div>\r\n
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Question 10<\/h3>\r\n
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10) Given the fitted model coefficients in the following table, consider the regression model that can answer the question of interest.<\/div>\r\n
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Parameter<\/strong><\/td>\r\nEstimate<\/strong><\/td>\r\nStandard\r\nerror<\/strong><\/td>\r\nt-value<\/strong><\/td>\r\nPr\u00a0>\u00a0|t|<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n
Intercept<\/strong><\/td>\r\n43.40<\/td>\r\n3.01<\/td>\r\n14.41<\/td>\r\n<.0001<\/td>\r\n<\/tr>\r\n
peanutyalmondy<\/em><\/strong> = TRUE<\/strong><\/td>\r\n10.48<\/td>\r\n9.63<\/td>\r\n1.09<\/td>\r\n0.2799<\/td>\r\n<\/tr>\r\n
sugarpercent<\/em><\/strong><\/td>\r\n9.15<\/td>\r\n5.48<\/td>\r\n1.67<\/td>\r\n0.0985<\/td>\r\n<\/tr>\r\n
sugarpercent<\/em><\/strong>peanutyalmondy <\/em><\/strong>= TRUE<\/strong><\/td>\r\n9.23<\/td>\r\n16.69<\/td>\r\n0.55<\/td>\r\n0.5818<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
Part A: What is the full equation for the model?<\/div>\r\n<\/div>\r\n
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<\/div>\r\n<\/div>\r\n
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Part B: Fill in the following table with the appropriate model equationsto see the interaction termsunpacked. Simplify your equation by combining like terms and simplifying.\r\n\r\n\r\n\r\n\r\n\r\n
peanutyalmondy<\/em><\/strong> indicator variable value<\/strong><\/td>\r\nEstimated model equation<\/strong><\/td>\r\n<\/tr>\r\n
peanutyalmondy<\/em> \u00a01 or TRUE<\/td>\r\n\u00a0_________ \u00a0________<\/td>\r\n<\/tr>\r\n
peanutyalmondy<\/em> \u00a00 or FALSE<\/td>\r\n\u00a0_________ ________<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
Part C: What is the interpretation of sugarpercentfor a candy that has peanuts, peanut butter,or almonds?<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n
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Question 11<\/h3>\r\n11) What would be the winpercentfor a candy that does not have peanuts, peanut butter,or almonds and has a sugarpercentof 0.84 (84%)?\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"
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Question 1<\/h3>\n

1) From the candy rankings dataset, do you think the effect of sugar percentile on win percentage differs depending on whether or not the candy contains peanuts, peanut butter, or almonds?<\/p>\n<\/div>\n<\/div>\n

You will continue using the candy rankings dataset in this in-class activity. The dataset is about information from 269,000 matchups between candies to find the candy that most people prefer. The dataset contains information about 85 candies and 12 variables. The dataset is contained in spreadsheet DCMP_STAT_17C_candy_rankings.The following is information about the variable names and definitions:<\/div>\n
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\"An<\/p>\n

Credit: iStock\/a_namenko<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Variable name<\/strong><\/td>\nDefinition<\/strong><\/td>\n<\/tr>\n
competitorname<\/em><\/td>\nThe name of the Halloween candy<\/td>\n<\/tr>\n
chocolate<\/em><\/td>\nDoes it contain chocolate?<\/td>\n<\/tr>\n
fruity<\/em><\/td>\nIs it fruit flavored?<\/td>\n<\/tr>\n
caramel<\/em><\/td>\nIs there caramel in the candy?<\/td>\n<\/tr>\n
peanutyalmondy<\/em><\/td>\nDoes it contain peanuts, peanut butter, or almonds?<\/td>\n<\/tr>\n
nougat<\/em><\/td>\nDoes it contain nougat?<\/td>\n<\/tr>\n
crispedricewafer<\/em><\/td>\nDoes it contain crisped rice, wafers, or a cookie component?<\/td>\n<\/tr>\n
hard<\/em><\/td>\nIs it a hard candy?<\/td>\n<\/tr>\n
bar<\/em><\/td>\nIs it a candy bar?<\/td>\n<\/tr>\n
pluribus<\/em><\/td>\nIs it one of many candies in a bag or box?<\/td>\n<\/tr>\n
sugarpercent<\/em><\/td>\nThe percentile of sugar it falls under within the dataset.<\/td>\n<\/tr>\n
pricepercent<\/em><\/td>\nThe unit price percentile compared to the rest of the set.<\/td>\n<\/tr>\n
winpercent<\/em><\/td>\nThe overall win percentage according to 269,000 matchups.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
Questions 2\u20135: We are interested in answering the following question,\u201cDoes the percentile of sugar and whether the candy contains peanuts, peanut butter, or almonds in it influence the overall average win percentage for the candy?\u201d<\/div>\n
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Question 2<\/h3>\n

2) What is the response variable? Identify the variable name from the dataset.<\/p>\n<\/div>\n<\/div>\n

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Question 3<\/h3>\n

3) What are the explanatory variables? Identify the variable names from the dataset and whether they are categorical or continuous.<\/p>\n<\/div>\n<\/div>\n

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Question 4<\/h3>\n
4) The reference group of interest for the variable peanuty almondy is there is no peanuts, peanut butter, or almonds in the candy.<\/div>\n
Part A: How many indicator variables are needed for the variable?<\/div>\n
Part B: How would you define the values for the indicator variablepeanut,given the reference group of interest?<\/div>\n<\/div>\n<\/div>\n
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Question 5<\/h3>\n
5) Giventhe fitted model coefficients in thefollowingtable, consider theregression model that can answerthe question of interest.\"A<\/p>\n\n\n\n\n\n\n\n\n
Parameter<\/strong><\/td>\nEstimate<\/strong><\/td>\nStandard
\nerror<\/strong><\/td>\n		t-value<\/strong><\/td>\nPr\u00a0>\u00a0|t|<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Intercept<\/strong><\/td>\n42.93<\/td>\n2.88<\/td>\n14.91<\/td>\n<.0001<\/td>\n<\/tr>\n
peanutyalmondy<\/em><\/strong> = TRUE<\/strong><\/td>\n15.34<\/td>\n3.90<\/td>\n3.93<\/td>\n0.0002<\/td>\n<\/tr>\n
sugarpercent<\/em><\/strong><\/td>\n10.14<\/td>\n5.15<\/td>\n1.97<\/td>\n0.0523<\/td>\n<\/tr>\n
Elevation_Feet<\/em><\/strong> * Direction<\/em> = east<\/strong><\/td>\n-0.001<\/td>\n0.003<\/td>\n-0.44<\/td>\n0.6629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
Part A: What is the full equation for the model?<\/div>\n
Part B: What is the equation of the model for acandy that contains peanuts, peanut butter, or almonds?Write it in the most simplified form.<\/div>\n
Part C: What is the equation ofthe model for acandy that doesnotcontain peanuts, peanut butter, or almonds?<\/div>\n<\/div>\n<\/div>\n
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Question 6<\/h3>\n

6) What is the interpretation for the regression coefficient fora candy that contains peanuts, peanut butter,or almonds? Hint: What is the reference group for the interpretation?<\/p>\n<\/div>\n<\/div>\n

Questions 7\u201310: We want to investigate whether the effect of sugar percentile on win percentage differs depending on whether or not the candy has peanuts, peanut butter, or almonds. In this case, we would want to investigate an interaction term.<\/div>\n
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Question 7<\/h3>\n

7) What additional term would need to be added to the multiple linear regression model? Define the additional term using variables from the dataset.<\/p>\n<\/div>\n<\/div>\n

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Question 8<\/h3>\n

8) Explain why or why not the question from the start of the activity (\u201cDoes the percentile of sugar and whether the candy contains peanuts, peanut butter, or almonds in it influence the overall average win percentage for the candy?\u201d) differs from the statement under investigation.<\/p>\n<\/div>\n<\/div>\n

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Question 9<\/h3>\n

9) The new fitted model is presented in the following figure. How does this model differ from the one in Question 5?<\/p>\n

\"A<\/p>\n<\/div>\n<\/div>\n

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Question 10<\/h3>\n
\n
10) Given the fitted model coefficients in the following table, consider the regression model that can answer the question of interest.<\/div>\n
\n\n\n\n\n\n\n\n\n
Parameter<\/strong><\/td>\nEstimate<\/strong><\/td>\nStandard
\nerror<\/strong><\/td>\n		t-value<\/strong><\/td>\nPr\u00a0>\u00a0|t|<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Intercept<\/strong><\/td>\n43.40<\/td>\n3.01<\/td>\n14.41<\/td>\n<.0001<\/td>\n<\/tr>\n
peanutyalmondy<\/em><\/strong> = TRUE<\/strong><\/td>\n10.48<\/td>\n9.63<\/td>\n1.09<\/td>\n0.2799<\/td>\n<\/tr>\n
sugarpercent<\/em><\/strong><\/td>\n9.15<\/td>\n5.48<\/td>\n1.67<\/td>\n0.0985<\/td>\n<\/tr>\n
sugarpercent<\/em><\/strong>peanutyalmondy <\/em><\/strong>= TRUE<\/strong><\/td>\n9.23<\/td>\n16.69<\/td>\n0.55<\/td>\n0.5818<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
Part A: What is the full equation for the model?<\/div>\n<\/div>\n
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<\/div>\n<\/div>\n
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Part B: Fill in the following table with the appropriate model equationsto see the interaction termsunpacked. Simplify your equation by combining like terms and simplifying.<\/p>\n\n\n\n\n\n
peanutyalmondy<\/em><\/strong> indicator variable value<\/strong><\/td>\nEstimated model equation<\/strong><\/td>\n<\/tr>\n
peanutyalmondy<\/em> \u00a01 or TRUE<\/td>\n\u00a0_________ \u00a0________<\/td>\n<\/tr>\n
peanutyalmondy<\/em> \u00a00 or FALSE<\/td>\n\u00a0_________ ________<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
Part C: What is the interpretation of sugarpercentfor a candy that has peanuts, peanut butter,or almonds?<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Question 11<\/h3>\n

11) What would be the winpercentfor a candy that does not have peanuts, peanut butter,or almonds and has a sugarpercentof 0.84 (84%)?<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":68,"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-5559","chapter","type-chapter","status-publish","hentry"],"part":5543,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5559","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":3,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5559\/revisions"}],"predecessor-version":[{"id":5661,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5559\/revisions\/5661"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5543"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5559\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5559"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5559"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5559"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}