In analyzing the residuals to determine whether the simple regression analysis satisfies the regression assumptions,which of the following is true?
A)The histogram of the residuals should be approximately bell-shaped.
B)The scatter plot of the residuals against the dependent variable should illustrate that the variation in residuals is the same over all levels of .
C)Neither A nor B are true.
D)Both A and B are true.

Question

In analyzing the residuals to determine whether the simple regression analysis satisfies the regression assumptions,which of the following is true?
A)The histogram of the residuals should be approximately bell-shaped. 
B)The scatter plot of the residuals against the dependent variable should illustrate that the variation in residuals is the same over all levels of . 
C)Neither A nor B are true. 
D)Both A and B are true.

Quizplus · Accepted Answer

A) The histogram of residuals should be approximately bell-shaped as it indicates that the residuals are normally distributed.
B) The scatter plot of residuals against the dependent variable should illustrate homoscedasticity or constant variance, which indicates that the errors do not change as the value of the dependent variable changes. As this is one of the assumptions of linear regression, it is important to check for homoscedasticity. Therefore, both A and B are true.

In Analyzing the Residuals to Determine Whether the Simple Regression