If the coefficient of determination is 0.64, what percentage of variation in the response is explained by the fitted regression model?
Correct answer: C. 64 percent
- A. 6.4 percent
- B. 36 percent
- C. 64 percent
- D. 80 percent
Explanation
The coefficient of determination is the proportion of response variation explained by the regression model. Multiplying 0.64 by 100 gives 64 percent; 80 percent is the corresponding absolute correlation magnitude in a simple model.
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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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