A Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When 1 (80.88 KiB) Viewed 88 times
A Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When 2 (58.22 KiB) Viewed 88 times
a Unless otherwise stated, carry out inferences using a = 0.05. Hypotheses should be written in terms of parameters when possible, and conclusions of hypothesis tests should be given using the context of the problem. As the semester draws to a close, some students worry about their performance on the upcoming final exams. Data from 73 students in a college statistics course from a previous semester are recorded in the file grade_pred.txt. We wish to model students' final exam performance (200 points maximum) as a function of their homework average and their scores on three tests given during the semester a) State the value of the estimated regression coefficient on test2, and give an interpretation; keep in mind that this is a multiple regression model. b) Use the output from the fitted model to comment further on the degree of multicollinearity present among this set of predictor variables. c) Given that all three test scores are included as predictors, test whether homework score may be dropped from the model Give the hypotheses, test statistic, p-value, and conclusion d) After taking any action implied by the results of the test above, obtain the model residuals. Apply the Ryan-Joiner test for normality, stating the hypotheses, p-value, and conclusion e) Provide a plot of residuals vs. fitted values, and comment on the validity of the model assumptions. t) Use the fitted model to estimate the mean final exam grade corresponding to students who score 75, 80, and 95 on the three tests given throughout the semester. Also provide a 90% confidence interval for this quantity.
N (D ON P 00 00 test3 50 50 0 00 a hw 87 139 56 74 82 137 92 75 151 158 129 175 143 183 183 161 166 88 178 158 185 168 176 196 157 O testi 78 65 71 85 86 70 84 83 78 62 74 67 69 88 82 70 67 81 93 75 77 84 87 70 87 test2 42 84 87 66 75 77 81 96 43 87 89 91 92 83 75 88 95 97 75 91 98 75 87 92 75 57 70 67 81 54 80 70 66 64 92 55 59 Ол ол o o o h N Final 123 110 139 137 131 159 152 155 150 151 159 154 144 153 166 162 155 172 147 170 142 155 161 163 170 70 70 49 73 61 79 84 69 65 70 UN
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