Do heavier people burn more energy? Exercise 10 (page 160) presented data on the lean

Chapter 3, Problem 48

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QUESTION:

Do heavier people burn more energy? Exercise 10 (page 160) presented data on the lean body mass and resting metabolic rate for 12 women who were subjects in a study of dieting. Lean body mass, given in kilograms, is a persons weight leaving out all fat. Metabolic rate, in calories burned per 24 hours, is the rate at which the body consumes energy. Here are the data again. Mass: 36.1 54.6 48.5 42.0 50.6 42.0 40.3 33.1 42.4 34.5 51.1 41.2 Rate: 995 1425 1396 1418 1502 1256 1189 913 1124 1052 1347 1204 (a) Use your calculator to help make a scatterplot. (b) Use your calculators regression function to find the equation of the least-squares regression line. Add this line to your scatterplot from part (a). (c) Explain in words what the slope of the regression line tells us. (d) Calculate and interpret the residual for the woman who had a lean body mass of 50.6 kg and a metabolic rate of 1502.

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QUESTION:

Do heavier people burn more energy? Exercise 10 (page 160) presented data on the lean body mass and resting metabolic rate for 12 women who were subjects in a study of dieting. Lean body mass, given in kilograms, is a persons weight leaving out all fat. Metabolic rate, in calories burned per 24 hours, is the rate at which the body consumes energy. Here are the data again. Mass: 36.1 54.6 48.5 42.0 50.6 42.0 40.3 33.1 42.4 34.5 51.1 41.2 Rate: 995 1425 1396 1418 1502 1256 1189 913 1124 1052 1347 1204 (a) Use your calculator to help make a scatterplot. (b) Use your calculators regression function to find the equation of the least-squares regression line. Add this line to your scatterplot from part (a). (c) Explain in words what the slope of the regression line tells us. (d) Calculate and interpret the residual for the woman who had a lean body mass of 50.6 kg and a metabolic rate of 1502.

ANSWER:

Step 1 of 6

Given,

Lean body mass =

Metabolic rate =

Number of women who were subjects in a study of dieting,

Let’s determine the following:

 

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