Adjusted R-Squared Calculator

Calculate adjusted R² that accounts for the number of predictors in a multiple regression model.

Adjusted R²

0.8402

Adjustment Penalty0.0098

Adjusted R² vs R²

सूत्र देखें →

सूत्र

## Adjusted R-Squared Adjusted R² modifies R² to penalize for additional predictors that do not improve the model. Unlike R², it can decrease when unhelpful variables are added. ### Formula **Adj R² = 1 - (1 - R²) × (n - 1) / (n - p - 1)** where n is the sample size and p is the number of predictors. Adjusted R² is always less than or equal to R². The difference grows larger with more predictors relative to sample size.

हल किया गया उदाहरण

R² = 0.85, n = 50, p = 3 predictors.

  1. 01Adj R² = 1 - (1 - 0.85) × 49/46
  2. 02Adj R² = 1 - 0.15 × 1.0652 = 1 - 0.1598 = 0.8402
  3. 03Penalty = 0.85 - 0.84 = 0.01