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

R (Correlation Coefficient)0.8944
Residual Sum of Squares (SSE)200.00

R² (Coefficient of Determination) vs Regression Sum of Squares (SSR)

Voir la formule →

Formule

## 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).

Exemple Résolu

A regression with SSR = 800 and SST = 1000.

  1. 01R² = 800 / 1000 = 0.80
  2. 02The model explains 80% of the variance in y.
  3. 03SSE = 1000 - 800 = 200
  4. 04R = sqrt(0.80) = 0.8944