Actuarial Notes

Exam MAS-II Practice Question 10

Study guide: Exam MAS-II

A bagged model of B = 3 regression trees predicts pure premium. Every split in the three trees, with the predictor it splits on and the reduction in residual sum of squares (RSS) it achieves, is:

Tree Predictor RSS reduction
1 Driver age 400
1 Territory 150
1 Driver age 100
2 Territory 500
2 Driver age 120
3 Driver age 300
3 Vehicle use 260
3 Vehicle use 90

Variable importance is measured as the total reduction in RSS from splits on a predictor, averaged over all B trees.

Calculate the variable importance of Territory.

  • A) 81.3
  • B) 216.7
  • C) 325.0
  • D) 500.0
  • E) 650.0

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