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Body fat It is difficult to determine a person’s body fat

Chapter 6, Problem 71E

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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?

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

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