The variance of the error variable, $\sigma _ { \varepsilon } ^ { 2 }$ , is required to be constant. When this requirement is satisfied, the condition is called homoscedasticity.

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Homoscedasticity refers to the assumption that the variance of the error terms in a regression model is constant across all levels of the independent variable.

The Variance of the Error Variable σε2\sigma _ { \varepsilon } ^ { 2 }σε2​

The Variance of the Error Variable $\sigma _ { \varepsilon } ^ { 2 }$