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Q.10

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The Practice of Statistics for AP

Found in: Page 159

Book edition 4th

Author(s) David Moore,Daren Starnes,Dan Yates

Pages 809 pages

ISBN 9781319113339

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Short Answer

Do heavier people burn more energy? Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on the lean body mass and resting metabolic rate for $12$ women who are subjects in a study of dieting. Lean body mass, given in kilograms, is a person’s weight leaving out all fat. Metabolic rate is measured in calories burned per $24$ hours. The researchers believe that lean body mass is an important influence on metabolic rate.
(a) Make a scatterplot on your calculator to examine the researchers’ belief.
(b) Describe the direction, form, and strength of the relationship.

a). Scatter plot:

b). Direction: Positive, Form: Linear, Strenght: Moderate.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part(a) Step 1: Given Information

The researchers believe that lean body mass is an important influence on metabolic rate.

Part(a) Step 2: Explanation

The horizontal axis represents mass, whereas the vertical axis represents rate.

Scatter plots:

Part(b) Step 1: Given Information

The researchers believe that lean body mass is an important influence on metabolic rate.

Part(b) Step 2: Explanation

Direction: The direction is positive, Because the scatterplot slopes upwards.

Form: The form is linear, Because there is no curvature in the scatterplot and all points appear to be nearly on a line.

Strength: Moderate, due to the fact that the points are not too far apart yet not too close together.

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