basic

Pearson r Correlation Strength Calculator

r = Σ(xi−x̄)(yi−ȳ) / √[Σ(xi−x̄)²·Σ(yi−ȳ)²] — linear association.

Calculates the Pearson product-moment correlation coefficient r and r² from summary statistics (means, standard deviations, covariance, n).

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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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

r = cov(X,Y) / (σX × σY); r² = proportion of variance explained

In depth

Calculates the Pearson product-moment correlation coefficient r and r² from summary statistics (means, standard deviations, covariance, n).