Actuarial Notes

SOA Exam SRM Sample Question 33

Study guide: Exam SRM

The regression tree shown below was produced from a dataset of auto claim payments. Age Category (agecat: 1, 2, 3, 4, 5, 6) and Vehicle Age (veh_age: 1, 2, 3, 4, ...) are both predictor variables, and log of claim amount (LCA) is the dependent variable.

Consider three autos I, II, III:

I: An Auto in Age Category 1 and Vehicle Age 4

II: An Auto in Age Category 5 and Vehicle Age 5

III: An Auto in Age Category 5 and Vehicle Age 3

Rank the estimated LCA of Autos I, II, and III.

  • A) LCA(I) < LCA(II) < LCA(III)
  • B) LCA(I) < LCA(III) < LCA(II)
  • C) LCA(II) < LCA(I) < LCA(III)
  • D) LCA(II) < LCA(III) < LCA(I)
  • E) LCA(III) < LCA(II) < LCA(I)

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