In the linear regression model, the homogeneity of variance assumption basically means:

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the variance in*y*at any given*x*-value is random.

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the variance in*x*at any given*y*-value is constant.

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the*y*variance at any given*x*within the range of the model is constant.

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the amount of variance in*y*is smallest when*x*is the smallest value considered in the model.