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.

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Statistics 86 75 69 75 90 75 92 OR 80 81 81 Statistics 83 71 65 94 86 95 OR 80 81 76 72 84 71 62 90 83 Statisties 8s | 72 OR 65 93 81 Statistics 75 71 76 84 97 OR 70 73 72 80 98