Question

3.3 Table 3.10 shows the scores in the final examination F and the scores in two preliminary examinations P1 and P2 for 22 students in a statistics course. The data can be found in the book's Web site. (a) Fit each of the following models to the data: Model 1 F Bo BiP Model 2 F- Model 3 : F-k) + AP,+AP, + ε Table 3.10 Examination Data: Scores in the Final (F), First Preliminary (Pi), and Second Preliminary (P2) Examinations Kow Row 78 74 82 90 87 90 83 72 68 69 91 73 76 79 96 90 92 95 69 67 70 89 75 81 91 80 94 94 97 79 84 65 83 79 89 93 87 68 75 85 94 86 90 86 68 12 75 84 97 14 15 16 17 86 91 81 80 70 79 96 94 92 82 83 19 20 69 91 10 81 (b) Test whether o 0 in each of the three models. (c) Which variable individually, P1 or P2, is a better predictor of F? (d) Which of the three models would you use to predict the final examina tion scores for a student who scored 78 and 85 on the first and second preliminary examinations, respectively? What is your prediction in this case?

Answer 1

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