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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 do 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 do I 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

Theory — what is adjusted R-squared?

Adjusted R-squared is a variant of the coefficient of determination that accounts for the number of predictors and the sample size. Ordinary R² never decreases when another variable is added to a model, even if it contributes little useful information, which makes comparing models with different numbers of predictors unfair. The calculator derives the adjusted value from ordinary R², the number of observations n, and the number of predictors p excluding the intercept, making it better suited to comparing nested models for the same outcome Y.

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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