Homoscedasticity is the assumption that the variability in scores for one continuous variable is roughly the same at all values of another continuous variable.

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Homoscedasticity refers to the assumption in regression analysis that the variance of the error terms (or residuals) is constant across all levels of the independent variable(s), meaning the variability in the dependent variable is roughly the same across all values of the independent variable(s).

Homoscedasticity Is the Assumption That the Variability in Scores for One