Question: Question set 3 [10 marks]: This question is the continuation of Question # 2. Consider the model fits in Ques- tion 2(f) that contain only

 Question set 3 [10 marks]: This question is the continuation of

Question set 3 [10 marks]: This question is the continuation of Question # 2. Consider the model fits in Ques- tion 2(f) that contain only three predictors: Recency, Freq12, and Dollar12. The following R-output is the part of created output by influence.measures (fit5). Studentized obs dfb.1_dfb.Rcnc dfb.Fr12 dfb.D112 dffit cov.r cook.d hat residuals 2 0.109 -0.298 -0.032 -0.032 -0.374 1.194 0.035 0.150 -34. 125 6 -0.755 1.233 0.398 0.192 1.303 2.038 0.420 0.527 34.951 15 -1.140 0.740 1.715 -0.457 1.804 1.102 ***** 0.355 77.428 57 0.121 -0.073 0.049 -0.414 -0.476 1.175 0.056 0.160 -41.247 58 0.447 -0.267 -1.099 1.439 1.687 0.345 0.528 0.124 149.897 59 -0.197 0.135 -0.537 1.433 1.482 1.488 0.529 0.419 54.083 a)[3 marks) Which data points in this dataset are suspected influential observations? Explain. b)[5 marks] What does Cooks Distance try to measure for a multiple linear regres- sion model? Calculate the Cook's distance for 15th observation (third row). Draw the conclusion. c)[2 marks] When examining case diagnostics in multiple linear regression model, under what circumstances, is it acceptable to remove an observation that is clearly an outlier? Question set 3 [10 marks]: This question is the continuation of Question # 2. Consider the model fits in Ques- tion 2(f) that contain only three predictors: Recency, Freq12, and Dollar12. The following R-output is the part of created output by influence.measures (fit5). Studentized obs dfb.1_dfb.Rcnc dfb.Fr12 dfb.D112 dffit cov.r cook.d hat residuals 2 0.109 -0.298 -0.032 -0.032 -0.374 1.194 0.035 0.150 -34. 125 6 -0.755 1.233 0.398 0.192 1.303 2.038 0.420 0.527 34.951 15 -1.140 0.740 1.715 -0.457 1.804 1.102 ***** 0.355 77.428 57 0.121 -0.073 0.049 -0.414 -0.476 1.175 0.056 0.160 -41.247 58 0.447 -0.267 -1.099 1.439 1.687 0.345 0.528 0.124 149.897 59 -0.197 0.135 -0.537 1.433 1.482 1.488 0.529 0.419 54.083 a)[3 marks) Which data points in this dataset are suspected influential observations? Explain. b)[5 marks] What does Cooks Distance try to measure for a multiple linear regres- sion model? Calculate the Cook's distance for 15th observation (third row). Draw the conclusion. c)[2 marks] When examining case diagnostics in multiple linear regression model, under what circumstances, is it acceptable to remove an observation that is clearly an outlier

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