Free R-Squared Calculator
Calculate the coefficient of determination R² from the sum of squares of regression and total sum of squares.
R² (Coefficient of Determination)
0.8000
R² (Coefficient of Determination) vs Regression Sum of Squares (SSR)
R-Squared (Coefficient of Determination)
R² measures the proportion of variance in the dependent variable that is explained by the regression model.
Formula
R² = SSR / SST = 1 - SSE / SST
where SSR is the regression sum of squares, SST is the total sum of squares, and SSE is the residual sum of squares. R² ranges from 0 (model explains nothing) to 1 (perfect fit).
Example Calculation
A regression with SSR = 800 and SST = 1000.
- 01R² = 800 / 1000 = 0.80
- 02The model explains 80% of the variance in y.
- 03SSE = 1000 - 800 = 200
- 04R = sqrt(0.80) = 0.8944
Frequently Asked Questions
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