Actuarial Notes

SOA Exam SRM Sample Question 14

Study guide: Exam SRM

From an investigation of the residuals of fitting a linear regression by ordinary least squares it is clear that the spread of the residuals increases as the predicted values increase. Observed values of the dependent variable range from 0 to 100.

Determine which of the following statements is/are true with regard to transforming the dependent variable to make the variance of the residuals more constant.

  • I. Taking the logarithm of one plus the value of the dependent variable may make the variance of the residuals more constant.

  • II. A square root transformation may make the variance of the residuals more constant.

  • III. A logit transformation may make the variance of the residuals more constant.

  • 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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