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Pearson Correlation from Sums Calculator

Pearson r from ΣX, ΣY, ΣXY, ΣX², ΣY², and n.

Computes the Pearson correlation coefficient r from aggregate statistics without raw data: r = [nΣXY − ΣXΣY] / √{[nΣX² − (ΣX)²][nΣY² − (ΣY)²]}.

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 = [nΣXY − ΣXΣY] / √{[nΣX² − (ΣX)²][nΣY² − (ΣY)²]}

In depth

Computes the Pearson correlation coefficient r from aggregate statistics without raw data: r = [nΣXY − ΣXΣY] / √{[nΣX² − (ΣX)²][nΣY² − (ΣY)²]}.