Exam 14: Multiple Regression Analysis

In a multiple regression equation with three independent variables, X₁, X₂, and X₃, the interaction term is expressed as (Y)(X₁).

Correlation among successive observations of the dependent variable is called ________________.

In multiple regression analysis, a dummy variable is coded as a _______.

What happens as the scatter of data values about the regression plane increases?

If the null hypothesis, H₀: β₁ = 0, is rejected, the independent variable, X₁, it has a ______ effect on the dependent variable.

In a multiple regression model, the ____ test statistic is used to test the significance of an independent variable's regression coefficient.

If a multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations, what is the value of the denominator in the calculation of the multiple standard error of estimate?

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X₁, hours spent studying each week, X₂, and one's high school average, X₃. Suppose the regression equation is . The multiple standard error is 6.313 and R² = 0.826. Assuming other independent variables are held constant, what is the effect on GPA if the number of hours spent studying per week increases from 32 to 36?

The ___ test statistic is used to test the significance of (X₁)(X₂) in a multiple regression model.

The following graph is used to evaluate an assumption of a multiple regression analysis. What is the assumption?

In multiple regression, the multiple R² measures the proportion of ____________.

A correlation matrix can be used to assess multicollinearity between independent variables.

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which independent variable has the strongest association with the dependent variable?

Stepwise regression analysis is a method that assists in selecting the most significant variables for a multiple regression equation.

In an ANOVA table for a multiple regression analysis, total variation is separated into _________.

A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, the stepwise regression technique is used. How are variables selected for inclusion in the model?

Twenty-one executives in a large corporation were randomly selected to study the effect of several factors on annual salary (expressed in $000s). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to, and the level of their responsibility. The results of the regression analysis follow:

A correlation matrix shows individual correlation coefficients for all pairs of variables.

When evaluating the assumptions of a multiple regression model, a _______ is calculated for every observation in a data set.

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male), and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results: Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model ___________.