Actuarial Notes

Exam MAS-II Practice Question 17

Study guide: Exam MAS-II

A logistic regression model for claim fraud is scored on a holdout set of eight claims:

Claim 1 2 3 4 5 6 7 8
Predicted probability 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2
Actually fraudulent Yes No Yes Yes No No Yes No

Calculate the area under the receiver operating characteristic curve (AUROC).

  • A) Less than 0.40
  • B) At least 0.40, but less than 0.55
  • C) At least 0.55, but less than 0.70
  • D) At least 0.70, but less than 0.85
  • E) At least 0.85

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