Question 1. [13 Marks] You are given the following output (Table 1 and 2) obtained by fitting 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 a = 0.1. Explain why. (5) [2 Marks] Which cases are most likely to be influential cases among the cases shown in table 2. Explain why.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 1.101 0.3903 0.0021 0.3827 0.0754 0.1093 3 1.8393 8.6304 10.4697 25.3182 0.0104 -0.4056 ).2674 0.245 15.6284 15.8188 0.1904 27.1613 0.007 -0.0068 ).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 0.8205 0.0256 0.8142 ).1856 0.3886 8 68.117 49.402 18.715 27.9901 ).6686 0.0087 0.66 0.1046 0.2256 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 11 -39.7274 60.1337 99.861 28.0309 -3.5625 0.2402 5.351 0.102 1.8031 12 1.6408 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 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 1.4988 0.2285 0.2715 51.9134 38.7465 23.1668 28.5242 0.8122 0.0083 0.8057 ).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 ).5106 0.0084 0.5018 0.1626 0.2211 21 54.0167 16.3298 7.6869 3.4098 0.914 1.5834 0.9105 0.9192 3.0702 22 37.1173 1.4352 -4.3179 27.7716 0.1555 0.0005 0.152 0.1185 0.0557 23 142.3699 123.4789 18.8911 24.5742 0.7687 0.0442 0.7614 0.3098 0.5101 24 32.2593 2238 5.0355 27.8185 0.181 0.0007 0.177 0.1155 0.064 25 106.1756 69.0803 37.0953 27.783 .3352 0.0397 1.3608 ).1178 0.4972 26 82.9419 78.5086 1.4333 27.9408 0.1587 0.0005 0.1551 0.1077 0.0539 27 80.5632 75.4083 5.1549 28.0075 0.1841 0.0007 D.18 0.1035 0.0611 28 27.1621 6.576 20.5861 25.1064 0.82 0.0435 0.8136 0.2796 0.5069