Question 1. [13 Marks] You are given the following output (Table 1 and 2) obtained by tting a linear regression model to a set of data. Answer the following questions: (1) [6 Marks] Please complete table 2. (2) [2 Marks] Which cases are most likely to be outliers with respect to their X values among the cases shown in table 2. Explain why. (3) [1 Mark] Which cases are most likely to be outliers with respect to their Y values among the cases shown in table 2. Use studentized residual. Explain why. (4) [2 Marks] Identify any outlying observations with respect to their Y values among the cases shown in table 2. Use the Bonferroni outlier test procedure with or = 0.1. Explain why. (5) [2 Marks] Which cases are most likely to be inuential cases among the cases shown in table 2. Explain why. Table 1: Analysis of Variance Sum of Mean Source DF F Value Pr>F Squares Square Model 5 2166730531 43334618 4.9528 0.0035 Error 22 192488083 874.9458 Corrected Total 27 409161173 Table 2: Output Statistics Obs Dependent Predicted Residual Std Error Student Cook's D RStudent Hat Diag DFFITS Variable Value Residual Residual H 56.8671 58.4014 26.7582 -0.0573 0.0001 -0.056 0.1817 -0.0264 2 92.7755 81.6745 11.101 0.3903 0.0021 0.3827 0.0754 0.1093 3 -1.8393 8.6304 -10.4697 25.3182 0.0104 -0.4056 0.2674 -0.245 4 45.6284 45.8188 0.1904 27.1613 0.007 -0.0068 0.1568 0.003 5 15.2023 20.0013 -4.7991 21.1515 -0.2269 0.0082 0.4887 -0.217 6 98.2925 102.0208 3.7283 26.1464 -0.1426 0.0009 -0.1394 0.2187 7 57.4721 35.5699 21.9022 26.6941 .8205 0.0256 0.8142 .1856 .3886 8 68.117 49.402 18.715 27.9901 0.6686 0.0087 0.66 0.1046 0.2256 9 66.2168 77.9403 -11.7235 26.533 -0.4418 0.0079 -0.4336 0.1954 -0.2137 10 68.7649 33.212 35.5529 25.9192 1.3717 0.0948 1.4014 0.2322 0.7706 17 -39.7274 60.1337 -99.861 28.0309 -3.5625 0.2402 5.351 .102 1.8031 12 11.6408 23.3295 -11.6887 27.3096 -0.428 0.0053 -0.4199 0.1476 -0.1747 13 60.2797 60.9773 -0.6976 27.7011 -0.0252 -0.0246 0.123 -0.0092 14 57.8226 55.7259 2.0967 27.5933 0.076 0.0001 0.0742 0.1298 0.0287 15 -30.6883 19.9126 -50.6009 25.9694 -1.9485 0.1882 -2.0928 0.2292 -1.1412 16 54.577 41.3898 13.1872 25.9806 0.5076 0.0127 0.4988 .2285 0.2715 17 61.9134 38.7465 23.1668 28.5242 0.8122 0.0083 0.8057 0.0701 0.2212 18 53.9035 80.7313 -26.8279 25.4471 -1.0543 0.065 -1.0571 0.2599 -0.6264 19 67.3244 79.3105 -11.9861 23.4869 -0.5103 0.0254 -0.5016 0.3695 -0.384 20 38.2983 24.4778 13.8204 27.0682 0.5106 0.0084 0.5018 .1626 0.2211 21 54.0167 46.3298 7.6869 3.4098 0.914 1.5834 0.9105 0.9192 3.0702 22 37.1173 41.4352 -4.3179 27.7716 -0.1555 0.0005 0.152 .1185 0.0557 23 142.3699 123.4789 18.8911 24.5742 0.7687 0.0442 0.7614 0.3098 0.5101 24 82.2593 77.2238 5.0355 27.8185 0.181 0.0007 0.177 0.1155 0.064