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SOA Exam SRM Sample Question 57

Study guide: Exam SRM

You are given:

i) The following observed values of the response variable, R, and predictor variables X, Y, Z:

R 4.75 4.67 4.67 4.56 4.53 3.91 3.90 3.90 3.89
X M F M F M F F M M
Y A A D D B C B D B
Z 2 4 1 3 2 2 5 5 1

ii) The following plot of the corresponding regression tree:

Calculate the Mean Response (MR) for each of the end nodes.

  • A) MR(T1) = 4.39, MR(T2) = 4.38, MR(T3) = 4.29, MR(T4) = 3.90
  • B) MR(T1) = 4.26, MR(T2) = 4.38, MR(T3) = 4.62, MR(T4) = 3.90
  • C) MR(T1) = 4.26, MR(T2) = 4.39, MR(T3) = 3.90, MR(T4) = 4.29
  • D) MR(T1) = 4.64, MR(T2) = 4.29, MR(T3) = 4.38, MR(T4) = 3.90
  • E) MR(T1) = 4.64, MR(T2) = 4.38, MR(T3) = 4.39, MR(T4) = 3.90

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