In the linear regression model, the homogeneity of variance assumption basically means:
A) the variance in y at any given x-value is random.
B) the variance in x at any given y-value is constant.
C) the y variance at any given x within the range of the model is constant.
D) the amount of variance in y is smallest when x is the smallest value considered in the model.

Question

Quizplus · Accepted Answer

Homogeneity of variance assumption in linear regression model means that the variance of y is constant at any given x within the range of the model. This is also known as the assumption of equal variance, which is necessary to ensure the accuracy and reliability of the regression analysis. Option A is incorrect as it mentions the randomness of y variance, which is not relevant to the homogeneity of variance assumption. Option B is incorrect as it talks about the variance of x, which is not relevant to this assumption. Option D is incorrect as it is a false statement as the amount of variance in y can be different for different values of x in the model.

In the Linear Regression Model, the Homogeneity of Variance Assumption