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Adjusted R-squared calculator

Enter ordinary R², the observation count and the number of predictors excluding the intercept.

Adjusted R-squared: —

Fill in the fields above — the result is computed on this page.

Ordinary R²
—
Observations n
—
Predictors p
—
Penalty R² − adjusted R²
—
Unexplained share 1 − R²
—
Residual degrees of freedom
—
What these numbers mean
  • Compare models fitted to the same observations and outcome.
  • Adjusted R² does not replace residual analysis or out-of-sample validation.

The formula assumes a model with an intercept. It does not test regression assumptions or prediction quality.

How to use this page
  1. Enter model R².
  2. Enter n and predictor count.
  3. Compare R² with adjusted R².

What this page does not do: The formula assumes a model with an intercept. It does not test regression assumptions or prediction quality.

Further reading

R² never decreases when another predictor is added, even when that variable contributes little. Adjusted R² accounts for predictor count and sample size, making it more useful for comparing nested models with the same outcome Y.

The value can be negative when the model performs worse than the mean-only baseline after the complexity penalty.

Frequently asked questions

Does the intercept count as a predictor?

No. Enter the number of explanatory variables without the intercept.

Why is adjusted R² lower?

The formula penalizes predictor count relative to the observations available.

See also

← All calculators

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