Consider the high school SAT scores data from Exercise 36 once more.
In Exercise 36

a) Find a 90% confidence interval for the mean SAT-Math score for all students with an SAT-Verbal score of 500.
b) Find a 90% prediction interval for the Math score of the senior class president if you know she scored 710 on the Verbal section.

Variable Count Mean Median StdDev Range IntQRange Verbal 162 596.296 610 99.5199 490 Math 140 150 162 612.099 630 98.1343 440 Dependent variable is Math R-squared-: 46.9% s 71.75 with 162 2 160 df Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 209.554 34.35 6.10 s0.0001 Verbal 0.675 0.0568 1.9 0.0001