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, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 3.724*(height) + 1.34*(percent body fat) - 84.551. If a female athlete is 66.029 inches tall, has a 23.177 percentage of body fat, and a weight of 249.826. What is the residual?

Question 11 options:

1)

2)

3)

4)

5)

1)

27.1232

2)

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

3)

126.3692

4)

-57.4278

5)

57.4278

Explanation / Answer

(weight) = 3.724*(height) + 1.34*(percent body fat) - 84.551.

we are provided with height and percent body fat. putting these in equation gives weight=3.724*66.029 + 1.34*23.177 - 84.551=192.39817

given weight is 249.826

thus residual is 249.826-192.39817=57.42783 or 5)

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