Exercises 2.219 to 2.221 use the dataset BodyFat, which gives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (in pounds), Height (in inches), and circumference (in cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist.

2.219. Using Weight to Predict Body Fat Figure 2.73 shows the data and regression line for using weight to predict body fat percentage. For the case with the largest positive residual, estimate the values of both variables. In addition, estimate the predicted body fat percent and the residual for that point.

2.220. Using Abdomen Circumference to Predict Body Fat Figure 2.74 shows the data and regression line for using abdomen circumference to predict body fat percentage.

(a) Which scatterplot, the one using Weight in Figure 2.73 or the one using Abdomen in Figure 2.74, appears to contain data with a larger correlation?

(b) In Figure 2.74, one person has a very large abdomen circumference of about 127 cm. Estimate the actual body fat percent for this person as well as the predicted body fat percent.

(c) Use Figure 2.74 to estimate the abdomen circumference for the person with about 40% body fat. In addition, estimate the residual for this person.

2.221. Using Neck Circumference to Predict Body Fat The regression line for predicting body fat percent using neck circumference is

BodyFat ̂ = −47.9 + 1.75 ⋅ Neck

(a) What body fat percent does the line predict for a person with a neck circumference of 35 cm? Of 40 cm?

(b) Interpret the slope of the line in context.

(c) One of the men in the study had a neck circumference of 38.7 cm and a body fat percent of 11.3. Find the residual for this man