Suppose that a researcher studying the weight of female college athletes wants t

Question

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) = 3.254*(height) + 0.888*(percent body fat) - 0.94*(age) - 97.309. If a female athlete is 67.097 inches tall, has a 17.764 percentage of body fat, is 20.357 years old, and has a weight of 226.672. What is the residual?

Question 27 options:

1)

2)

3)

4)

5)

1)

-11.6995

2)

109.0085

3)

50.5665

4)

We do not know the observations in the data set, so we cannot answer that question.

5)

-109.0085

Explanation / Answer

(weight) = 3.254*(height) + 0.888*(percent body fat) - 0.94*(age) - 97.309

For the female athlete with height of 67.097 and percent body fat of 17.764 and age of 20.357

the weight is predicted to be 3.254*67.097 + 0.888*17.764 - 0.94*20.357 - 97.309=117.6635

the residual is w-wpred=226.672-117.6635=109.0085 option 2

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