Actuarial Notes

SOA Exam SRM Sample Question 49

Study guide: Exam SRM

Trish runs a regression on a data set of n observations. She then calculates a 95% confidence interval (t, u) on y for a given set of predictors. She also calculates a 95% prediction interval (v, w) on y for the same set of predictors.

Determine which of the following must be true.

  • I. \lim_{n \to \infty} (u - t) = 0

  • II. \lim_{n \to \infty} (w - v) = 0

  • III. w - v > u - t

  • A) None

  • B) I and II only

  • C) I and III only

  • D) II and III only

  • E) The correct answer is not given by (A), (B), (C), or (D).

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