Actuarial Notes

SOA Exam SRM Sample Question 27

Study guide: Exam SRM

Trevor is modeling monthly incurred dental claims. Trevor has 48 monthly claims observations and three potential predictors:

  • Number of weekdays in the month

  • Number of weekend days in the month

  • Average number of insured members during the month

Trevor obtained the following results from a linear regression:

Coefficient Standard Error t Stat p-value
Intercept –45,765,767.76 20,441,816.55 –2.24 0.0303
Number of weekdays 513,280.76 233,143.23 2.20 0.0330
Number of weekend days 280,148.46 483,001.55 0.58 0.5649
Average number of members 38.64 6.42 6.01 0.0000

Determine which of the following predictors should be dropped, using a 5% significance level.

  • A) None
  • B) Number of weekdays only
  • C) Number of weekend days only
  • D) Average number of members
  • E) All three predictors should be dropped

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