Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 15.27.

x 12 24 10 9 15 17 9 18 16 22 y 84 79 81 90 81 85 82 84 83 75

a. Determine a point estimate for the mean test score of all beginning calculus students who study for 19 hours.

b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 19 hours.

c. Find the predicted test score of a beginning calculus student who studies for 19 hours.

d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 19 hours.

Working with Large Data Sets In Exercises 15.98–15.108, use the technology of your choice to do the following tasks.

a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)–(f).

b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.

c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.

d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.

e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.

f. Compare and discuss the differences between the confidence interval that you obtained in part

(c) and the prediction interval that you obtained in part (e).