Actuarial Notes

Exam MAS-I Practice Question 164

Study guide: Exam MAS-I

An analyst fits claim frequency as a step function of driver age X with cutpoints 30, 50 and 70. She creates all four indicators

C_0 = I(X < 30), \quad C_1 = I(30 \le X < 50), \quad C_2 = I(50 \le X < 70), \quad C_3 = I(70 \le X)

and enters all four, together with an intercept, in a least-squares fit. The data include 214 drivers aged 70 or older. The software reports:

Term Estimate
(Intercept) 0.140
C_0 0.085
C_1 0.020
C_2 -0.030
C_3 NA

Calculate the predicted claim frequency for a 24-year-old driver.

  • A) 0.055
  • B) 0.085
  • C) 0.140
  • D) 0.160
  • E) 0.225

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