Question

Do muscles burn 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 of $12$ women who are subjects in a study on 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 to display the relationship between lean body mass and metabolic rate.

b. Describe the relationship between lean body mass and metabolic rate.

Short answer

Part (b) Linear, positive and moderately strong association without outliers.

Part (a)

Step-by-step solution

Part (a) Step 1: Given information

Data on $12$ women's lean body mass and resting metabolic rate:

Part (a) Step 2: Explanation

For Scatterplot:

On horizontal axis: Lean body mass

On vertical axis: Metabolic rate

Part (b) Step 1: Explanation

Strength: The scatterplot's spots do not lie closer together, nor do they sprawl widely away. As a result, the strength will be mild.

Unusual features: Because there are no points in the scatterplot that deviate significantly from the overall pattern. As a result, there are no outliers.

Form: Because there is no substantial curvature in the scatterplot. As a result, the shape will be linear.

Direction: Because the scatterplot's pattern is upwards sloping. As a result, the trend will be positive.