SOA Exam SRM Sample Question 66
Study guide: Exam SRM
You are given the following regression tree (where the inequality represents the values in the left-hand branch of a split.
Determine the set of regions that represents this regression tree.
- A) Region 1:
\{X \mid X_1 \le 5, X_2 \le 40\}; Region 2:\{X \mid X_1 \le 5, X_2 > 40\}; Region 3:\{X \mid X_1 > 5\}; Region 4:\{X \mid X_1 > 10, X_2 \le 60\}; Region 5:\{X \mid X_1 > 10, X_2 > 60\} - B) Region 1:
\{X \mid X_1 \le 5, X_2 \le 40\}; Region 2:\{X \mid X_1 \le 5, X_2 > 40\}; Region 3:\{X \mid X_1 > 5, X_2 \le 60\}; Region 4:\{X \mid X_1 > 10, X_2 \le 60\}; Region 5:\{X \mid X_1 > 10, X_2 > 60\} - C) Region 1:
\{X \mid X_1 \le 5, X_2 > 40\}; Region 2:\{X \mid X_1 \le 5, X_2 \le 40\}; Region 3:\{X \mid 5 < X_1 \le 10\}; Region 4:\{X \mid X_1 > 10, X_2 \le 60\}; Region 5:\{X \mid X_1 > 10, X_2 > 60\} - D) Region 1:
\{X \mid X_1 \le 5, X_2 \le 40\}; Region 2:\{X \mid X_1 \le 5, X_2 > 40\}; Region 3:\{X \mid 5 < X_1 \le 10\}; Region 4:\{X \mid X_1 > 10, X_2 \le 60\}; Region 5:\{X \mid X_1 > 10, X_2 > 60\} - E) Region 1:
\{X \mid X_1 \le 5, X_2 \le 40; Region 2:\{X \mid X_1 \le 5, X_2 > 40\}; Region 3:\{X \mid X_1 > 5, X_2 \le 60\}; Region 4:\{X \mid X_1 > 10, X_2 > 60\}; Region 5:\{X \mid X_1 > 10, X_2 \le 60\}
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