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math.regression-model-metrics Calculator
Computes R², adjusted R², and RMSE for a regression model, distinguishing between total, explained, and residual sum of squares. R² without the adjusted version will always increase with more predictors — adjusted R² penalises unnecessary variables.
Inputs
Ss Residual
Reference formula or conversion factor shown for context.
Ss Total
Reference formula or conversion factor shown for context.
N Observations
Count of items or occurrences.
N Predictors
Count of items or occurrences.
Results
R² (coefficient of determination)
The value at the specified point or condition.
adjusted R²
Reference formula or conversion factor shown for context.
RMSE
Reference formula or conversion factor shown for context.
MSE
Reference formula or conversion factor shown for context.
R² = 1 - SS_res/SS_tot
Reference formula or conversion factor shown for context.