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)

Ver formula →

Formula

## 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.

Exemplo Resolvido

If r = 0.85, how much variance does X explain in Y?

  1. 01R-squared = 0.85^2 = 0.7225
  2. 02X explains 72.25% of the variance in Y
  3. 03Unexplained variance = 1 - 0.7225 = 0.2775 or 27.75%