P00 test2 42 84 87 66 75 77 81 96 43 87 test3 50 50 0 57 70 67 81 54 80 0 00 70 89 hw 87 139 56 74 82 137 92 75 151 158

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P00 Test2 42 84 87 66 75 77 81 96 43 87 Test3 50 50 0 57 70 67 81 54 80 0 00 70 89 Hw 87 139 56 74 82 137 92 75 151 158 1 (50.07 KiB) Viewed 77 times

P00 Test2 42 84 87 66 75 77 81 96 43 87 Test3 50 50 0 57 70 67 81 54 80 0 00 70 89 Hw 87 139 56 74 82 137 92 75 151 158 2 (84.53 KiB) Viewed 77 times

P00 test2 42 84 87 66 75 77 81 96 43 87 test3 50 50 0 57 70 67 81 54 80 0 00 70 89 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 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 91 92 83 75 88 95 66 64 92 55 59 70 70 49 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 97 73 00 00 75 91 98 75 87 92 75 61 79 84 69 65 70
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) Ensure that you have read the complete data set into Minitab by presenting the sample mean of the response variable as Y = 169.29. b) Suppose a first-order model in four predictor variables will be fit. State the model using mathematical symbols. Also write any assumptions to be made about the error term in the model. c) Produce a table of sample correlations between Y and the four predictor variables. Identify the predictor least likely to be highly explanatory of final exam score. Comment on your level of concern about multicollinearity: quote at least one value from the output. d) Fit the first-order model and provide the coefficients table. e) Two of the students in this data set took a zero on one of their mid-semester tests. This represents unusual behavior, and there is a fairly strong argument for excluding these students. Refit the full first-order model after removing the two rows in question, and provide the updated coefficients table. f) Test whether a regression relationship exists between Y and this set of four predictor variables. Provide the hypotheses, test statistic, p-value, and conclusion