
Explanation:
D is correct. For a linear regression with one explanatory variable, the is simply equal to the squared sample correlation between the dependent and the explanatory variable. That is, , which means that .
A is incorrect. This is the square of the measure.
B is incorrect. This is the square root of the beta coefficient.
C is incorrect. This is just the measure.
Learning Objective: Estimate the correlation coefficient from the measure obtained in linear regressions with a single explanatory variable.
Reference: Global Association of Risk Professionals. Quantitative Analysis. New York, NY: Pearson, 2023, Chapter 7, Linear Regression [QA-7].
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A
A. 0.610
B
B. 0.754
C
C. 0.781
D
D. 0.884
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