In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see a
A) horizontal band of points centered near zero.
B) widening band of points around the x-axis.
C) band of points having a slope consistent with that of the regression equation.
D) parabolic band of points centered at the origin.

Question

In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see​ a
A) ​horizontal band of points centered near zero.
B) widening band of points around the x-axis.
C) band of points having a slope consistent with that of the regression equation.
D) parabolic band of points centered at the origin.

Quizplus · Accepted Answer

A residual plot that does not suggest we should challenge the assumptions of our regression model would have a horizontal band of points centered near zero. This suggests that the residuals are randomly scattered around the zero line, indicating that there is no systematic pattern of variation in the residuals.

In a Residual Plot Against X That Does Not Suggest