# Refer to the previous two exercises. The sample standard deviation of BP was 13.3.

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QUESTION:

Refer to the previous two exercises. The sample standard deviation of BP was 13.3. The residual standard deviation of BP when BP_60 and LP_200 are predictors in a multiple regression model is 7.9.

a. Explain the difference between the interpretations of these two standard deviations.

b. If the conditional distributions of BP are approximately bell-shaped, explain why most maximum bench press values fall within about 16 pounds of the regression equation, when the predictors BP_60 and LP_200 are near their sample mean values.

c. At x1 = 11 and x2 = 22, which are close to the sample mean values, software reports ŷ = 80 and a 95% prediction interval of 80 {16, or (64, 96). Is this interval an inference about where the population BP values fall or where the population means of the BP values fall (for subjects having x1 = 11 and x2 = 22)? Explain.

d. Refer to part c. Would it be unusual for a female athlete with these predictor values to be able to bench press more than 100 pounds? Why?

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