QUESTION 2 (20 MARKS) a) Calculate the value of the Pearson correlation coefficient r and the value of the coefficient of determination ' based on Table 2. Give a definition (show the formula and count path). (10 scores) Schedule 2 X y x2 y2 XV. 3 33 9 1089 5 38 25 1444 190 R 44 54 1936 352 10 53 100 2809 530 13 54 169 2916 702 15 63 225 3969 945 18 68 324 4624 1224 20 59 400 4761 1380 28 73 784 5329 2044 b) Based on the answer (a), produce a hypothetical test of the coefficient obtained above with reference to the 5 steps below: 1. Hypothetical Construction (2 marks) ii. Specify Criteria to reject Ho (2 marks) iii. Specify the value r (1 mark) iv. Results (3 marks) V. Interpretation of results & conclusion (2 marks)