Following are the data on study time and score for calculus students from Exercise 4.63.

Use the technology of your choice to perform the following tasks.

a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b)–(d).

b. Obtain the coefficient of determination.

c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.

d. State how useful the regression equation appears to be for making predictions. The data from Exercise 4.70 for number of birdies during a tournament and the final score for 63 women golfers are on the WeissStats site.

Exercise 4.63

An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. Here are the results. For part (g), predict the score of a student who studies for 15 hours.

Formula 4.2

X y 10 22 15 12 20 8 16 14 92 81 84 74 85 80 84 80