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Regression Slope and Intercept from Sums Calculator

OLS regression line y = b₀ + b₁x from aggregate stats.

Computes the OLS regression slope b₁ = [nΣXY − ΣXΣY] / [nΣX² − (ΣX)²] and intercept b₀ = (ΣY − b₁ΣX) / n from five summary statistics.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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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

b₁ = [nΣXY−ΣXΣY]/[nΣX²−(ΣX)²]; b₀ = (ΣY−b₁ΣX)/n

In depth

Computes the OLS regression slope b₁ = [nΣXY − ΣXΣY] / [nΣX² − (ΣX)²] and intercept b₀ = (ΣY − b₁ΣX) / n from five summary statistics.