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Body fat It is difficult to determine a person’s body fat
Chapter 6, Problem 71E(choose chapter or problem)
Problem 71E
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.
Waist(in.) |
Weight(lb) |
Body Fat(%) |
Waist(in.) |
Weight(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 |
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?
Questions & Answers
QUESTION:
Problem 71E
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.
Waist(in.) |
Weight(lb) |
Body Fat(%) |
Waist(in.) |
Weight(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 |
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?
ANSWER:
Step 1 of 11
Given that,
Researchers hoping to find ways to make a good estimate immersed 20 male subjects, then measured their waist and recorded their weights shown in the table at the top of the next column.
Waist (in.) |
Weight (lb) |
Body Fat (%) |
Waist (in.) |
Weight (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 |
34 |
219 |
28 |