Use our free Coefficient of Determination Calculator to quickly find the R-squared value for your regression analysis. This essential statistical tool helps you evaluate the goodness of fit of your model, indicating the proportion of the variance in the dependent variable that is predictable from the independent variables. Simply input your observed and predicted values to get instant results.
Formula:
The Coefficient of Determination (R²) is calculated using the formula:
R² = 1 - (SSres / SStot)
- SSres (Sum of Squares of Residuals) = ∑(yi - ŷi)²
- SStot (Total Sum of Squares) = ∑(yi - ∑̅)²
Where:
- yi = Actual (observed) value
- ŷi = Predicted value
- ∑̅ = Mean of the actual (observed) values