1.Looking at the outputs in this table are any of the residuals large enough to
ID: 3240191 • Letter: 1
Question
1.Looking at the outputs in this table are any of the residuals large enough to indicate a problem with the outliers or any indications that the data may contain some high leverage points?
Studentized Cook's D Resid y Predictedy Influence y 1 45 0.0105 909 0.0164 0.0177 48.628142611 -0.186012367 0.0009596641 2 45 0.011 84.6 0.0165 0.0172 48.457045756 -0.177759095 0.000918578 48 0.0106 88.9 0.0164 0.01 40.595219522 0.3820248449 0.0044670398 4 51 0,0116 4887 0.0187 0.0082 65.819150647 -0.775313096 0.0223313275 5 46 0.0121 4544 0.0187 0.007 65.7290 30 377 -0.998988603 0.0220945051 6 45 0.0123 4392 0.0187 0.0065 66.413 705972 -1.080619661 0.0240983088 7 45 0.0122 447.1 0.0186 0.0071 54.436231133 -0.48009948 0.0055953039 8 43 0.0122 4516 0.0187 0.0062 61.83164 2968 -0.95478319 0.0207069547 121 0,0123 4878 0.0192 0.0153 130.73650629 -0.51852949 0.0122952795 10 126 0.0122 4676 0.0192 0.0129 136.895878 25 -0.584979825 0.0170181326 115 0.0094 95A 0.0163 0,0354 120.38152374 -0.27294296 0.001703667 12 108 0.01 871 0.0162 0.0342 91.080 754151 0.8673124477 0.0 208 387 25 107 0.0101 827 0.0162 0.0323 84.626286064 1.1462371601 0.0359984421 87 0.0163 0.0337 105.04904459 382959 0.0026188068 111 0.0099 136 0.011 5164 0.019 0.016 130.70834125 0.2654964275 0.0012756192 15 16 125 0.0117 4884 (0,0189 0.0149 108.92162333 0.8061023297 115514116 140 0.0 11 534.5 0.0189 0,0163 109.19680293 1.5843191658 0.0732872042 18 158 0.0104 542.3 0.0189 0.0164 122.79951318 1.8545460346 0.139252484 19 161 0.0067 988 0.0163 0.0379 204.698 34468 -2.25497051 0.1561599777 20 173 0.0066 84.8 0.0162 0.036 196.56682 349 -1.235213618 0.0579960229 21 275 0.0044 69.6 0.0163 0.0327 270.81966269 0.2587 245158 0.00 88 271771 22 318 0.0073 4369 0.0189 0.0263 299, 15362765 1.0013515797 0.04 47076172 322 0.0078 4063 0.0192 002 319.00679786 0.1769198965 0.0032142405 24 329 0.0067 44.79 (0.0192 0.0197 328.01400753 0.0564273639 0.0002666894 25 191 0.0091 58.5 0.0164 0.0331 154.04621 244 1936 1916469 0.1418757849 26 258 0,0079 394 0.0177 0.0674 280.70 3576 39 -1.321208262 0.1630496052 461 0.0174 0.077 269.38858192 -0.32241111 0.0114510862 273 0.0065 4692 0.0173 0.078 264.2959 0.5424217684 0.0401519649Explanation / Answer
Studentized Residuals:
These residuals obtained by dividing the residuals by their estimated standard errors (like t-statistics).
Rule :
a. If the absolute value of studentized residual is larger than 3 will be considered as outliers.
b. If the absolute value of studentized residual is between 2 and 3 then those observations should be dealt carefully. For such observations we consider leverage values, if the leverage value is more than 2p/n then those observations are also be taken as outliers.
As for Cooks Distance,
We consider the point to be influential if Di >1 or often suggested , Di>4/n (here n =28)
Here, No problem with Cooks distance.
Please check the leverage for data point 19 to be on the safe side, whether to deem it as outlier or not.
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