Which of the following is a violation of one of the major assumptions of the simple regression model?
A)The error terms are independent of each other.
B)Histogram of the residuals form a bell-shaped,symmetrical curve.
C)The error terms occur in a random pattern over time.
D)As the value of x increases,the value of the error term also increases.
E)The error terms have a mean of zero for any value of x.

Question

Quizplus · Accepted Answer

One of the major assumptions of the simple regression model is that the error terms have a constant variance and are independent of the values of the predictor variable. As stated in choice D, if the value of the error term increases as the value of x increases, then this violates the assumption of constant variance and therefore is a violation of one of the major assumptions of the simple regression model. Choices A, B, C, and E are all consistent with the assumptions of the simple regression model.

Which of the Following Is a Violation of One of the Major