basic

Linear Regression Intercept from Sums Calculator

a = (Σy − b·Σx) / n.

Compute the OLS intercept of a simple linear regression y = a + b·x once the slope b has been determined: a = (Σy − b·Σx) / n. Provide the same five summary statistics (n, Σx, Σy, Σxy, Σx²) and the slope is derived internally before computing the intercept.

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

a = (Σy − b · Σx) / n; b = (n·Σxy − Σx·Σy)/(n·Σx² − (Σx)²).

In depth

Compute the OLS intercept of a simple linear regression y = a + b·x once the slope b has been determined: a = (Σy − b·Σx) / n. Provide the same five summary statistics (n, Σx, Σy, Σxy, Σx²) and the slope is derived internally before computing the intercept.