Standard Error of Regressions RechnerFormel

Standard Error of Regression (RMSE)

The standard error of regression (also called residual standard error or RMSE) estimates the standard deviation of the residuals.

Formula

Se = sqrt(SSE / (n - p - 1))

where SSE is the sum of squared residuals, n is sample size, and p is the number of predictors. Smaller Se means better prediction accuracy. The denominator (n - p - 1) accounts for the degrees of freedom lost estimating the model parameters.

Lösungsbeispiel

SSE = 200, n = 50, p = 2 predictors.

  1. df = 50 - 2 - 1 = 47
  2. MSE = 200 / 47 = 4.2553
  3. Se = sqrt(4.2553) = 2.0629