In a Multiple Regression Model, If the Residuals Have a Constant

question 113

Multiple Choice

In a multiple regression model, if the residuals have a constant variance, which of the following should be evident?

• A) The residual mean should be close to zero and the residual standard deviation should be close to 1.0.
• B) The plot of residuals against each independent variable should show that the spread in the residuals is about the same at all levels of the independent variables.
• C) The residuals should have a variance equal to zero for all levels of the independent variable.
• D) All of these.
• E) None of these.

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Definitions:

Matched Pairs Experiment

An experimental design in which participants are paired based on certain criteria, with one member of each pair receiving each treatment.

Z-Statistic

A statistical measure that represents the number of standard deviations a data point is from the mean of a data set, used in hypothesis testing.

P-Value

A statistical measure that helps researchers determine the significance of their experiment’s results, often indicating the probability of obtaining the observed results if the null hypothesis were true.

Wilcoxon Signed Rank Test

A nonparametric test used to compare two paired groups to determine if their mean ranks differ.