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) = 4.993*(height) + 1.435*(percent body fat) - 98.585. If a female athlete is 61.571 inches tall, has a 19.54 percentage of body fat, and a weight of 216.102, the residual is 20.777. Choose the correct interpretation of the resdiual.

Question 9 options:

1)

2)

3)

4)

5)

1)

The weight of the athlete is 20.777 pounds larger than what we would expect.

2)

The height of the athlete is 20.777 inches larger than what we would expect.

3)

The weight of the athlete is 216.102 pounds larger than what we would expect.

4)

The height of the athlete is 20.777 inches less than what we would expect.

5)

The weight of the athlete is 20.777 pounds less than what we would expect.

Explanation / Answer

(weight) = 4.993*(height) + 1.435*(percent body fat) - 98.585

Putting the given values of height and percent body fat we get weight = 4.993*61.571+1.435*19.54-98.585=236.879

but the observed weight is given as 216.102

thus The weight of the athlete is 20.777 pounds less than what we would expect. option 5

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