Free Coefficient of Determination Calculator
Calculate R-squared from the correlation coefficient to determine what proportion of variance in Y is explained by X.
R-squared
0.722500
Variance Explained (%)72.2500
1 - R-squared0.277500
Unexplained Variance (%)27.7500
R-squared vs Correlation Coefficient (r)
How to Calculate the Coefficient of Determination
Formula
R-squared = r^2
R-squared is the square of the Pearson correlation coefficient. It represents the proportion of variance in the dependent variable that is predictable from the independent variable. The remaining 1 - R^2 is unexplained variance.
Example Calculation
If r = 0.85, how much variance does X explain in Y?
- 01R-squared = 0.85^2 = 0.7225
- 02X explains 72.25% of the variance in Y
- 03Unexplained variance = 1 - 0.7225 = 0.2775 or 27.75%
Frequently Asked Questions
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