71. Body fat It is difficult to determine a person’s body fat percentage accurately without immersing him or her in water. Researchers hoping to find ways to make a good estimate immersed 20 male subjects, then measured their waists and recorded their weights shown in the table at the top of the next column.

a) Create a model to predict %Body Fat from Weight.

b) Do you think a linear model is appropriate? Explain.

c) Interpret the slope of your model.

d) Is your model likely to make reliable estimates? Explain.

e) What is the residual for a person who weighs 190 pounds and has 21% body fat?

Waist Weight Body Waist Weight (in.) (91) Fat (%) (in.) (lb) Body Fat (%) 32 175 6 33 188 10 36 181 21 40 240 20 38 200 15 36 175 22 33 159 6 32 168 9 39 196 22 44 246 38 40 192 31 33 160 10 41 205 32 41 215 27 35 173 21 34 159 12 38 187 25 34 146 10 38 188 30 44 219 28