Exam 14: Multiple Regression Analysis

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An example of a dummy variable is "time to product's first repair" in years.

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In multiple regression analysis, a residual is the difference between the value of an independent variable and its corresponding dependent variable value.

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In a multiple regression analysis, the following correlation matrix was computed. In a multiple regression analysis, the following correlation matrix was computed.   Which independent variables are highly correlated with the dependent variable? Which independent variables are highly correlated with the dependent variable?

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

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

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When applying Stepwise Regression, what is the basis for including an independent variable in a multiple regression model? _____________

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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 It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores   , hours spent studying each week   , and one's high school average   . Suppose the regression equation is:   . The multiple standard error is 6.313 and R<sup>2</sup> = 0.826. For which independent variable does a unit change have the greatest effect on the GPA? , hours spent studying each week It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores   , hours spent studying each week   , and one's high school average   . Suppose the regression equation is:   . The multiple standard error is 6.313 and R<sup>2</sup> = 0.826. For which independent variable does a unit change have the greatest effect on the GPA? , and one's high school average It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores   , hours spent studying each week   , and one's high school average   . Suppose the regression equation is:   . The multiple standard error is 6.313 and R<sup>2</sup> = 0.826. For which independent variable does a unit change have the greatest effect on the GPA? . 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   , hours spent studying each week   , and one's high school average   . Suppose the regression equation is:   . The multiple standard error is 6.313 and R<sup>2</sup> = 0.826. For which independent variable does a unit change have the greatest effect on the GPA? . The multiple standard error is 6.313 and R2 = 0.826. For which independent variable does a unit change have the greatest effect on the GPA?

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

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What are the five assumptions of linear multiple regression?

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Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output: Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output:   What proportion of the total variation in salary is accounted for by the set of independent variables? What proportion of the total variation in salary is accounted for by the set of independent variables?

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Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output: Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output:   Which independent variable has the most significant effect on annual salary? Which independent variable has the most significant effect on annual salary?

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If a dependent variable and one or more independent variables are inversely related, what is the sign for the regression coefficients of the independent variables? ______________

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Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output: Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output:   Write out the multiple regression equation. _______________________ Write out the multiple regression equation. _______________________

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The adjusted R2 accounts for the number of independent variables by?

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

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In an ANOVA table for a multiple regression analysis, the global test of significance is based on the

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In multiple regression, what is the form of the global hypothesis test? _____________

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Multiple regression analysis is applied when analyzing the relationship between

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In multiple regression analysis, how is the degree of association between a set of independent variables and a dependent variable measured?

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

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