A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat of the individual. The following scores are recorded. If an individual has 22% fat, his predicted amount of daily exercise is _________.
A) 22.80
B) 23.88
C) 24.76
D) 20.22

Question

A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat of the individual. The following scores are recorded.  If an individual has 22% fat, his predicted amount of daily exercise is _________.
A) 22.80 
B) 23.88 
C) 24.76 
D) 20.22

Quizplus · Accepted Answer

The data points shown in the scatterplot suggest a negative linear relationship between daily exercise and percent body fat. Using the regression line equation, we can predict the amount of daily exercise for an individual with a certain percent body fat. The regression line equation is: Y = bX + a, where Y is the predicted amount of daily exercise, X is the percent body fat, b is the slope of the regression line, and a is the intercept of the regression line.

From the scatterplot, we can see that the slope of the regression line is negative, indicating that as percent body fat increases, the amount of daily exercise decreases. The intercept of the regression line is 23.88.

To predict the amount of daily exercise for an individual with 22% body fat, we substitute X = 22 into the regression line equation:

Y = (-0.54)(22) + 23.88 
Y = -11.88 + 23.88 
Y = 12

Therefore, the predicted amount of daily exercise for an individual with 22% body fat is 12 hours. The answer is B, 23.88.

A Researcher Collects Data on the Relationship Between the Amount