Actuarial Notes

Exam MAS-I Practice Question 124

Study guide: Exam MAS-I

Five severity GLMs are each checked with a QQ plot of their deviance residuals. In every plot the sample quantiles are on the vertical axis, the theoretical quantiles on the horizontal axis, and a straight reference line is drawn. Match each description to the conclusion it supports. An option may be used more than once or not at all.

Part a (1 point)

The lowest points fall below the reference line, the highest points rise above it, and the middle follows the line.

  • A) Residuals consistent with the assumed distribution
  • B) Heavier tails than assumed at both ends
  • C) Lighter tails than assumed at both ends
  • D) Right tail heavier than assumed (more right-skewed)
  • E) Left tail heavier than assumed (more left-skewed)

Part b (1 point)

The lowest points lie on the reference line; the highest points rise well above it.

  • A) Residuals consistent with the assumed distribution
  • B) Heavier tails than assumed at both ends
  • C) Lighter tails than assumed at both ends
  • D) Right tail heavier than assumed (more right-skewed)
  • E) Left tail heavier than assumed (more left-skewed)

Part c (1 point)

The points follow the reference line closely from end to end, with small random wiggles.

  • A) Residuals consistent with the assumed distribution
  • B) Heavier tails than assumed at both ends
  • C) Lighter tails than assumed at both ends
  • D) Right tail heavier than assumed (more right-skewed)
  • E) Left tail heavier than assumed (more left-skewed)

Part d (1 point)

The highest points lie on the reference line; the lowest points fall well below it.

  • A) Residuals consistent with the assumed distribution
  • B) Heavier tails than assumed at both ends
  • C) Lighter tails than assumed at both ends
  • D) Right tail heavier than assumed (more right-skewed)
  • E) Left tail heavier than assumed (more left-skewed)

Part e (1 point)

The lowest points sit above the reference line, the highest points sit below it, and the middle follows the line.

  • A) Residuals consistent with the assumed distribution
  • B) Heavier tails than assumed at both ends
  • C) Lighter tails than assumed at both ends
  • D) Right tail heavier than assumed (more right-skewed)
  • E) Left tail heavier than assumed (more left-skewed)

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