In a simple linear regression analysis,when the constant variance assumption for the error term holds,a plot of the residual versus x:
A)Fans out
B)Funnels in
C)Fans out,but then funnels in
D)Forms a horizontal band pattern
E)Suggests an increasing error variance

Question

Quizplus · Accepted Answer

When the constant variance assumption for the error term holds, a plot of the residual versus x forms a horizontal band pattern. This indicates that the variance of the error term is constant across all values of x, which is the assumption of the simple linear regression model. If the plot fans out, funnels in, or suggests an increasing error variance, it indicates violations of the constant variance assumption and the need for further investigation.

In a Simple Linear Regression Analysis,when the Constant Variance Assumption