Which of these statements is best?
A)If the assumptions of regression have been met, errors plotted against the independent variable will typically show patterns.
B)The error standard deviation is estimated by MSE.
C)Often, a plot of the residuals will highlight any glaring violations of the assumptions.
D)The standard error of the estimate is also called the variance of the regression.

Question

Quizplus · Accepted Answer

Option C describes a recommended diagnostic tool for checking the assumptions of regression. Plotting residuals helps identify potential issues with normality, constant variance, and linearity assumptions. Option A may be interpreted as problematic since patterns in residual plots indicate violations of assumptions, while homoscedastic and random residuals are desirable. Option B describes how to calculate the variance of errors but does not provide information about regression assumptions. Option D is incorrect since the standard error of the estimate is the standard deviation of residuals, not the variance of the regression.

Which of These Statements Is Best