Problem # 8. In a small summer course, Professor Blinky wants to compare the number of homeworks completed to final grades as shown in the table below. X (Homeworks Completed) 6 8 4 2 6 Y (Final Grades) 82 93 78 40 70 X Y xy x2 y2 6 82 492 36 6724 8 93 744 64 8649 4 78 312 16 6084 2 40 80 4 1600 6 70 420 36 4900 E 26 363 2048 156 27957 (a) Find the correlation coefficient (r)? Show all your steps. (5 points) Hint use the formula given on page 473 in the textbook. (b) Find the regression equation? Show all your steps. (3 points) Hint use the formula given on page 487 in the textbook. (c) Plot this regression line equation on a graph paper? (2 points)