If the residuals have a constant variance, which of the following should be evident?
A) The residuals should have a variance equal to zero for all levels of the independent variable.
B) The plot of the residuals against each x variable should show that the spread in the residuals is about the same at all levels of each of the independent variables.
C) The average residual should be about zero and the residual standard deviation should be approximately 1.
D) None of the above

Question

Quizplus · Accepted Answer

The presence of constant variance in the residuals, also known as homoscedasticity, is indicated by the spread of residuals being roughly equal across all levels of the independent variables. This is a key assumption in linear regression models to ensure reliable estimation of parameters and standard errors.

If the Residuals Have a Constant Variance, Which of the Following