Coefficient of Determination (R²) Calculator

Find R² from the correlation coefficient.

0.81
Variance explained (%) 81

Formula: R² = r²

Step-by-step with your numbers:
1. Values used:
2. Correlation coefficient (r) = 0.9
3.
4. R² = Correlation coefficient (r) squared = 0.9 x 0.9 = 0.81
5. Variance explained = 81%
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R² is the proportion of variance in one variable explained by another.

The math behind it

R² = correlation coefficient squared; expressed as a percentage of variance explained.

Worked example

r 0.9 → R² 0.81 (81% explained).

FAQ

High R²?

Closer to 1 means the model explains more of the variation.