Residual Calculator

Calculate the residual (prediction error) for an observation from its actual and predicted values.

Residual (e)

1.5000

Absolute Residual1.5000
Squared Residual2.2500

Residual (e) vs Actual Value (y)

सूत्र

## Regression Residuals A residual is the difference between an observed value and its predicted value from the regression model. Residuals are the foundation for assessing model fit and detecting problems. ### Formula **e_i = y_i - y-hat_i** Positive residuals mean the model under-predicted; negative residuals mean over-prediction. In a well-fitting model, residuals should be randomly scattered around zero with no patterns.

हल किया गया उदाहरण

An observation with actual y = 25 and predicted y-hat = 23.5.

  1. 01Residual = 25 - 23.5 = 1.5
  2. 02The model under-predicted by 1.5 units.
  3. 03Squared residual = 1.5² = 2.25