Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 38

Study guide: Exam MAS-I

A modeler creates a cubic spline model with Property Claim Frequency as the response variable and Age of Building Construction as a continuous predictor. The modeler puts knots in at Age = {10, 20, 30, 50}.

The modeler believes that she is overfitting on the ends of the distribution and decides to impose an additional constraint that the curve before the first knot and after the last knot will be linear.

Calculate the number of degrees of freedom used by this new model.

  • A) 3
  • B) 4
  • C) 5
  • D) 6
  • E) 7

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