3. [8 marks] Recall this question from Written Assignment #2: When Wayne Gretzky (a.k.a. The Great One) played for the E

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3 8 Marks Recall This Question From Written Assignment 2 When Wayne Gretzky A K A The Great One Played For The E 1 (189.24 KiB) Viewed 34 times

3. [8 marks] Recall this question from Written Assignment #2: When Wayne Gretzky (a.k.a. The Great One) played for the Edmonton Oilers from 1979 to 1988, he scored an incredible 1669 points in only 696 games! The data are summarized in the following table: 0 1 2 3 4 5 6 7 8 29 Number of points in a game, y Observed number of games with y points, fy Expected number of games with y points, ey 69 155 171 143 79 57 14 6 2 0 A Poisson(O) model has been proposed for the random variable Y which represents the number of points Wayne scored in a game and the parameter e represents the average number of points scored in a game by Wayne Gretzky when he played for the Edmonton Oilers. Based on the observed data, you were asked to calculate the mle of theta. I won't ask you to do that again. We determined that the mle of theta is Ô = Using this mle, fill in the expected values in the table above. Please give the expected values to 3 d.p. and use subtraction to determine the expected value for the 2 9 cell. Now, let's see how well a Poisson distribution fits the data! 1669 696 Use a Pearson Goodness of Fit test statistic to test Ho: Data follows a Poisson distribution i.e. a Poisson model is appropriate). Be sure to show all steps clearly and show all relevant work in your solution (as noted in question 1).