*expand_more*

*expand_more*

*format_list_bulleted*

#### Concept explainers

**College athletes** The College Athletes data set on the book’s website comes from a study of University of Georgia female athletes. Using the column names from the data set, the response variable 1RM = maximum bench press has explanatory variables LBM = lean body mass (which is weight times 1 minus the proportion of body fat) and REPS70 = number of repetitions before fatigue with a 70-pound bench press. Let’s look at all the steps of a

**a.**The first figure shows ascatterplot matrix. Which two plots in the figure describe the associations with 1RM as a response variable? Describe those associations.**b.**Results of a multiple regression analysis are shown. Write down the prediction equation and interpret the coefficient of REPS70.**c.**Report*R*^{2}and interpret its value in the context of these variables.**d.**Based on the value of*R*^{2}, report and interpret themultiple correlation .**e.**Interpret results of the*F*test that 1RM is independent of these two predictors. Show how to obtain the*F*statistic from themean squares in the ANOVA table.**f.**Once REPS70 is in the model, does it help to have LBM as a second predictor? Answer by showing all steps of a significance test for a regression parameter.**g.**Examine the histogram shown of the residuals for the multiple regression model. What does this describe, and what does it suggest?**h.**Examine the plot shown of the residuals plotted against values of REPS70. What does this describe, and what does it suggest?**i.**From the plot in part h, can you identify a subject whose 1RM value was considerably lower than expected based on the predictor values? Identify by indicating the approximate values of REPS70 and the standardized residual for that subject.

Scatterplot matrix for Exercise 13.38.

Residual plot for Exercise 13.38, part g.

Residual plot for Exercise 13.38, part h.

Learn your wayIncludes step-by-step video

*schedule*02:34

# Chapter 13 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

# Additional Math Textbook Solutions

Basic Business Statistics, Student Value Edition (13th Edition)

Statistical Reasoning for Everyday Life (5th Edition)

Essentials of Statistics (6th Edition)

Fundamentals of Statistics (5th Edition)

- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL