If r = -0.6 in a simple linear regression, the coefficient of determination is:
Correct answer: C. 0.36
- A. -0.36
- B. -0.60
- C. 0.36
- D. 0.60
Explanation
The coefficient of determination is calculated as r squared, so (-0.6) squared equals 0.36. This means that 36 percent of the variation is explained by the linear relationship.
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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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