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Pearson r Correlation from Running Sums Calculator

r = (n·Σxy − Σx·Σy) / √((n·Σx² − (Σx)²) · (n·Σy² − (Σy)²)).

Compute Pearson's product-moment correlation r directly from streaming sums Σx, Σy, Σxy, Σx², Σy², and sample size n. r ranges over [−1, +1]; |r| > 0.7 is generally a strong linear association. Also reports r².

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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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 = (n·Σxy − Σx·Σy) / √((n·Σx² − (Σx)²)·(n·Σy² − (Σy)²)).

In depth

Compute Pearson's product-moment correlation r directly from streaming sums Σx, Σy, Σxy, Σx², Σy², and sample size n. r ranges over [−1, +1]; |r| > 0.7 is generally a strong linear association. Also reports r².