In multiple regression analysis,residuals (Y − )should be ________.
A)qualitative variables
B)significantly different from zero
C)correlated
D)normally distributed with a mean of zero

Question

In multiple regression analysis,residuals (Y −  )should be ________.
A)qualitative variables 
B)significantly different from zero 
C)correlated 
D)normally distributed with a mean of zero

Quizplus · Accepted Answer

Residuals in multiple regression analysis should be normally distributed with a mean of zero. This is because residuals represent the difference between the actual value of the dependent variable and the predicted value based on the independent variables, which should follow a normal distribution with a mean of zero if the model is a good fit to the data. Qualitative variables are not relevant to the distribution of residuals, and while correlation between residuals can indicate a violation of the independence assumption, it is not a desirable outcome. Significance of residuals being different from zero is not necessary for multiple regression analysis.

In Multiple Regression Analysis,residuals (Y − )Should Be ________