In simple linear regression, the plot of residuals versus fitted values can be used to check for which of the following
A) normality
B) a constant variance independent of x
C) independence

Question

In simple linear regression, the plot of residuals versus fitted values  can be used to check for which of the following
A) normality 
B) a constant variance independent of x 
C) independence

Quizplus · Accepted Answer

The plot of residuals versus fitted values can be used to check for a constant variance independent of x, also known as homoscedasticity. A random scatter of points around zero on this plot indicates that the residuals have a constant variance, while a funnel-like shape indicates non-constant variance and violation of the assumption of homoscedasticity. Checking for normality can be done using a normal probability plot or a histogram of residuals, while checking for independence can be done using time series plots or other methods.

In Simple Linear Regression, the Plot of Residuals Versus Fitted