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Math & Statistics

R-Squared

Also called: R², coefficient of determination, r squared

R-squared is the share of the variation in the outcome that a regression explains, from 0 to 1. It is routinely over-read: a high R-squared says the model fits this sample, not that it is correct, causal or predictive. Adding any variable raises it mechanically, which is why adjusted R-squared penalises extra terms, and why a 0.99 fit on financial data usually means the model has memorised noise.

Formula

R² = 1 − (Residual sum of squares ÷ Total sum of squares)

Want more than a definition? Learn it in Regression Range →

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