The equation used to predict the total body weight (in pounds) of a female athle

Question

The equation used to predict the total body weight (in pounds) of a female athlete at a certain school is y = - 122 + 3 42x_1 + 1.61x_2 where x_1 is the female athlete's height (in inches) and x_2 is the female athlete's percent body fat, measured as x_2%. Use the multiple regression equation to predict the total body weight for a female athlete who is 66 inches tall and has 23% body fat. The predicted total body weight for a female athlete who is 66 inches tall and has 23% body fat is pounds (Round to the nearest tenth as needed)

Explanation / Answer

Given,

x1 = 66

x2 = 23

Putting these values in the given regression equation, we will get:

y = - 122 + 3.42(66) + 1.61(23)

y = 140.8

Hence,

The predicted total body weight for a female athlete who is 66 inches tall and has 23% body fat is 140.8 pounds.

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