Linear Regression

Fit a least-squares straight line and report its slope, intercept and R² for paired data.

How this calculator works

Enter the values for first value, second value and review the units before calculating.

Formula / method

ŷ = a + bx; b = Σ((x−x̄)(y−ȳ)) ÷ Σ((x−x̄)²)

Worked example

For points (1,2), (2,4), (3,6), the fitted line is ŷ = 2x.

Assumptions and limitations

The relationship is summarized by a linear model and X has nonzero variance.

Regression describes association in the supplied data; it does not establish causation or forecast outside the observed range.