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 = - 127 + 3.07x_1 + 1.88x_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 29% body fat. The predicted total body weight for a female athlete who is 66 inches tall and has 29% body fat is pounds. (Round to the nearest tenth as needed.)

Explanation / Answer

Solution:

Here we have an equation y= -127 + 3.07x1 +1.88x2 where x1 is the female athlete's height (in inches) and x2 is the female athlete's percent body fat.

y= -127 + 3.07x1 +1.88x2

here x1 = 66 in and x2 = 29 is the % body fat.

y = -127 + 3.07 * 66 + 1.88 * 29

y = 130.14 or 131pounds.

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