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 = 116 + 3.41 x1 + 2.28x2, where x1is the female athlete's height (in inches) and x2is the female athlete's percent body fat, measured as x2%. Use the multiple regression equation to predict the total body weight for a female athlete who is 67 inches tall and has 20% body fat.

The predicted total body weight for a female athlete who is 67 inches tall and has 20% body fat is pounds. (Round to the nearest tenth as needed.)

Explanation / Answer

sure , we are given that the regression equation is

y = 116 + 3.41 x1 + 2.28x2

putting the given values in the regression equation

y = 116 + 3.41*67 + 2.28*20 , please note that x2 is in percentage terms , hence using 20 and not 0.20

=158.07 pounds

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