The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly...

The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly normally distributed.
(a) Find the regression line relating the statistics final average to the OR final average.
(b) Test for significance of regression using a = 0.05.


(c) Estimate the correlation coefficient.
(d) Test the hypothesis that p = 0, using a = 0.05.
(e) Test the hypothesis that p = 0.5, using a = 0.05.
(f) Construct a 95% confidence interval for the correlation coefficient.