Question
The equation used to predict the total body weight (in pounds) of a female athlete at a certain school is y = -116+ 377x_1 + 1.76x_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 predict the total body weight for a female athlete who is 61 inches tall and has 23% body fat. The predicted total body weight for a female athlete who is 61 inches tall and has 23% body fat is pounds. (Round to the nearest tenth as needed.)
Explanation / Answer
y = -116 + 3.77x1 + 1.76x2
Here, x1 = 61
x2 = 23
So, y = -116 + 3.77x61 + 1.76x23 = 154.45
Body weight of the female athlete = 154.45 pounds