basic

Adjusted R² from R², Sample Size, and Number of Predictors Calculator

R²_adj = 1 − (1−R²)·(n−1)/(n−p−1).

Compute the adjusted coefficient of determination for a linear regression with n observations and p predictors (excluding the intercept). R²_adj = 1 − (1 − R²)·(n − 1)/(n − p − 1). Penalises gratuitous predictors; can be negative for poorly-fitting models. Standard reporting metric alongside R² in multiple regression.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

R²_adj = 1 − (1−R²)(n−1)/(n−p−1).

In depth

Compute the adjusted coefficient of determination for a linear regression with n observations and p predictors (excluding the intercept). R²_adj = 1 − (1 − R²)·(n − 1)/(n − p − 1). Penalises gratuitous predictors; can be negative for poorly-fitting models. Standard reporting metric alongside R² in multiple regression.