If the regression coefficients are b_yx = 0.5 and b_xy = 0.72, the correlation coefficient is:
Correct answer: B. 0.60
- A. 0.36
- B. 0.60
- C. 0.72
- D. 1.22
Explanation
The relationship is r² = b_yx × b_xy, so r² = 0.5 × 0.72 = 0.36. Since both regression coefficients are positive, r is positive, giving r = 0.60.
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About Correlation and Regression
Correlation describes the direction and strength of association between two variables using scatter diagrams and correlation coefficients. Regression covers fitted lines, regression equations, prediction and least squares, with a clear distinction between association and causation and between estimating a response value and reversing the roles of the variables.
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