Exercise 12.35 referred to an analysis of leg strength for 57 female athletes, with y = maximum leg press and x = number of 200-pound leg presses until fatigue, for which = 233.89 + 5.27x.
The table shows ANOVA results from SPSS for the regression analysis.

a. Show that the residual standard deviation is 36.1. Interpret it.
b. For this sample, = 22.2. For female athletes with x = 22, what would you estimate the variability to be of their maximum leg press values? If the y values are approximately normal, find an interval within which about 95% of them would fall.

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ANOVA Sum of Squares df Mean Square F Sig. Model 1 Regression 121082.4 121082.400 92.875 000 Residual 71704.442 55 1303.717 Total 192786.8 56