Residual Calculatorसूत्र

## 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. Residual = 25 - 23.5 = 1.5
  2. The model under-predicted by 1.5 units.
  3. Squared residual = 1.5² = 2.25