Exam 14: Multiple Regression Analysis

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Stepwise regression analysis is also called a "backward elimination" method.

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

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A multiple regression analysis showed the following results of the individual independent variables. A multiple regression analysis showed the following results of the individual independent variables.   Which independent variables are significantly related to the dependent variable? Which independent variables are significantly related to the dependent variable?

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In multiple regression, the __________ accounts for the variance of additional independent variables.

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The adjusted R2 accounts for the number of independent variables by ____________.

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If there are four independent variables in a multiple regression equation, there are also four ______.

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In an ANOVA table for a multiple regression analysis, the regression mean square is __________.

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The best example of an alternate hypothesis for a global test of a multiple regression model is ______________.

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In multiple regression, the ______________ summarizes the difference between the predicted and actual values of the dependent variable.

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The following graph is used to evaluate two assumptions of a multiple regression analysis. What are the two assumptions? The following graph is used to evaluate two assumptions of a multiple regression analysis. What are the two assumptions?

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In a multiple regression analysis, if the regression coefficient of a dummy variable is significant and has a sample value of 100, then the dummy variable's effect on the dependent variable is an increase of 100.

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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 It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X<sub>1</sub>, hours spent studying each week, X<sub>2</sub>, and one's high school average, X<sub>3</sub>. Suppose the regression equation is   . The multiple standard error is 6.313 and R<sup>2</sup> = 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 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?

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The degrees of freedom associated with the regression sum of squares equals ____.

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The coefficient of determination measures the proportion of ____________.

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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: 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 ___________. Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model ___________.

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The variance inflation factor is used to select or remove independent variables to reduce the effects of multicollinearity in a multiple regression equation.

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Multiple regression analysis is used when one independent variable is used to predict values of two or more dependent variables.

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A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the multiple coefficient of determination expressed as a percent? A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the multiple coefficient of determination expressed as a percent?

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In multiple regression analysis, the ________ scale is used to measure a dummy variable.

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The variance inflation factor can be used to reduce multicollinearity by _________.

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