The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. These data are shown as follows:

Hours Scores

3 65

5 80

2 60

8 88

2 66

4 78

485

590

690

3 71

a.Find the least squares line .

5

b.Find the correlation coefficient .

c.Find the coefficient of determination .

d.Find a 95% confidence interval for the mean value of y when x = $100 and S=3.5.

e.Find a 95% prediction interval for a new value of y when x = $100 andS=3.5.