Actuarial Notes

CAS Exam MAS-I Spring 2019, Question 36

Study guide: Exam MAS-I

An ordinary least squares regression model is fit with the following model form:

E(Y_i) = \beta_0 + \beta_1 X_i

After fitting the model, the following plot with the original data (points) and three sets of 95% intervals are provided:

Let "CI" be the 95% confidence interval for E(Y_i), and let "PI" be the 95% prediction interval for Y_i.

Determine which one of the following best describes the intervals shown above.

  • A) Interval 1 = CI, Interval 2 = PI
  • B) Interval 1 = PI, Interval 2 = CI
  • C) Interval 1 = CI, Interval 3 = PI
  • D) Interval 1 = PI, Interval 3 = CI
  • E) None of (A), (B), (C), or (D) are correct

Answer this question and see the worked solution

Concepts tested

More questions from this set