Of the claimants age clmageatt the interaction between

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Unformatted text preview: T_ 0 MARSTAT_ 1 AGE GENDER = Value 0.6729935853 Std Error 0.5756814265 t Ratio 1.1690382117 Prob>|t| 0.2434308662 SS 3.1018156175 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0.852100353 0.4976430135 1.7122723114 0.0880075466 6.6543284337 Sum of Squares 6.9645989789 Numerator DF 2 F Ratio 1.5342903542 Prob > F 0.2175034266 9 5) MULTIPLE LINEAR REGRESSION We consider automobile injury claims data. The data contain information on demographic information about the claimant, attorney involvement, and economic loss, among other variables. We consider here a sample of n = 1,340 losses. More specifically, we consider the following list of variables: ATTORNEY CLMAGE CLMSEX MARITAL SEATBELT CLMINSUR LOSS Whether the claimant is represented by an attorney (=0 if no and =1 if yes) Claimant’s age Claimant’s sex (=0 if male and =1 if female) Claimant’s marital status (married, single, widowed, or divorced/separated) Whether the claimant was wearing a seatbelt/child restraint (=0 if no, =1 if yes) Whether the driver of the claimant’s vehicle was uninsured (=0 if no, =1 if yes) The claimant’s total economic loss (in thousands) Consider the attached JMP output for the regression model of the logarithm of the losses (LN_LOSS) on all the variables above plus: • CLMAGE_sqr è༎ the square of the claimant’s age, • CLMAGE*ATT è༎ the interaction between claimant’s age and the attorney dummy variable, è༎ • CLMAGE_sqr*ATT the interaction between the square of claimant’s age and the attorney dummy variable. Moreover, the marital status has been split in the dummy variables MARITAL_SINGLE, MARITAL_WIDOWED and MARITAL_DIVORCED. a) Provide an assessment of the attached regression model. b) Provide an interpretation for the CLMAGE*ATT coefficient. c) What was the objective of the analyst who did run this analysis in using so many terms involving the claimant’s CLMAGE_sqr*ATT)? age (i.e. CLMAGE, CLMAGE*ATT, CLMAGE_sqr, Do you think the analyst’s idea is supported by the data? Why? d) Do you have any suggestion on how to improve the model? 10 and Response LOG_LOSS Whole Model LOG_LOSS Actual Actual by Predicted Plot 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -2 -1 0 1 2 LOG_LOSS Predicte...
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