Question

Question 12 (1 point)

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. The researcher calculates the regression equation as (weight) = 3.551*(height) + 0.558*(percent body fat) - 1.153*(age) - 91.16. If a female athlete is 61 inches tall, has a 20 percentage of body fat, is 23 years old, and has a weight of 226.326, the residual is 116.234. Choose the correct interpretation of the residual.

Question 12 options:

1)	The height of the athlete is 116.234 inches less than what we would expect.

2)	The weight of the athlete is 226.326 pounds larger than what we would expect.

3)	The weight of the athlete is 116.234 pounds less than what we would expect.

4)	The weight of the athlete is 116.234 pounds larger than what we would expect.

5)	The height of the athlete is 116.234 inches larger than what we would expect.

Answer 1

Here, the researcher wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. So, the dependent variable here is weight. Now, the residual is 116.234. We know that, residual = (actual value - predicted value). So, if the residual is 116.234, the actual value is 116.234 more than the predicted value. Hence, the correct answer is :

4)The weight of the athlete is 116.234 pounds larger than what we would expect.