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MATH / LINEAR REGRESSION

Regression Slope Standard Error Calculator

Calculate the standard error of a simple linear regression slope from residual scatter and predictor spread. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate the standard error of a simple linear regression slope from residual scatter and predictor spread. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

SE(b1)=s_e/sqrt(S_xx)

What you provide

What you provide

  • Residual standard error, using the same scenario as the other inputs
  • Predictor sum of squares, using the same scenario as the other inputs

What you receive

What you receive

  • Slope standard error from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The fitted simple linear model assumptions apply and Sxx is computed around the predictor mean.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors