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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?

A) 0.64
B) 0.32
C) 1.92
D) 0.96

2. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

A) geometric sequence, common ratio 3
B) arithmetic sequence, common ratio 2
C) arithmetic sequence, common difference 2
D) geometric sequence, common ratio 2

3. What is the simplest form of this expression: log2(165/2)

A) log2 (5/2) + log2(16)
B) 10
C) 32
D) 5/2 + log2(16)

4. Consider the following distribution data for a random variable X: What is the mean and variance of X?

A) 3.6 and 7.15
B) 3.5 and 3.45
C) None of these
D) 3.4 and 3.84

5. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?

A) 1.125
B) 0.75
C) 0.375
D) 0.3333

Solutions: