Statistics

Coefficient of Determination (R²) Calculator

Find R² from the correlation coefficient.

Calculated Output

R² 0.81

Variance explained (%) 81

Formula: R² = r²

Step-by-Step Breakdown

1. Values used:

2. Correlation coefficient (r) = 0.9

4. R² = Correlation coefficient (r) squared = 0.9 x 0.9 = 0.81

5. Variance explained = 81%

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The math behind it

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

r 0.9 → R² 0.81 (81% explained).

High R²?

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