Coefficient of Determination Calculator — 公式
## 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.
### 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.
计算示例
If r = 0.85, how much variance does X explain in Y?
- R-squared = 0.85^2 = 0.7225
- X explains 72.25% of the variance in Y
- Unexplained variance = 1 - 0.7225 = 0.2775 or 27.75%