Question: The data given in the table below are the midterm scores in a course for a sample of 10 students and the scores of student evaluations of the instructor. (In the instructor evaluation scores, 1 is the lowest and 4 is the highest score.)
a. Find the regression of instructor scores on midterm scores. .
b. Construct a 99% confidence interval for B.
c. Test at the 1% significance level whether B is positive.