Simple Regression & Correlation Calculator

1) Paste your (x, y) data

Accepted formats (one pair per line): x,y or x y. Lines beginning with # are ignored.

2) Results

Slope (b)
—
Intercept (a)
—
Correlation (r)
—
r² (coefficient of determination)
—
Mean of x / y
—
Std dev of x / y (sample)
—
S_xx / S_yy / S_xy
—
Std error of slope b
—
Std error of intercept a
—
Residual standard error (RSE)
—
Prediction (for x = …)
—

3) Scatterplot & Best-fit Line (y = a + b·x)

Formulas: b = Sxy/Sxx, a = ȳ − b·x̄, r = Sxy/√(SxxSyy) with Sxx=Σ(x−x̄)², Syy=Σ(y−ȳ)², Sxy=Σ(x−x̄)(y−ȳ). Standard errors use sample formulas with n−2 degrees of freedom.