Exam 14: Multiple Regression Analysis

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Consider a multiple regression analysis involving 14 independent variables and 150 observations, with SSE = 180 and SS Total = 600. The coefficient of multiple determination is ______.

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The production of car tires in any given year is related to the number of cars produced that year and in prior years. Suppose our econometric model resulted in the following data. The production of car tires in any given year is related to the number of cars produced that year and in prior years. Suppose our econometric model resulted in the following data.

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What does the multiple standard error of estimate measure?

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In multiple regression, the form of the global hypothesis test is ____________.

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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. Which independent variable has the greatest effect on GPA? . The multiple standard error is 6.313 and R2 = 0.826. Which independent variable has the greatest effect on GPA?

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

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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.   In stepwise regression, which independent variable would most likely be added first? In stepwise regression, which independent variable would most likely be added first?

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In multiple regression, a dummy variable is significantly related to the dependent variable when ______________.

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In multiple regression analysis, residuals (Y - Ŷ) are used to _____________.

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When expressed as a percentage, what is the range of values for multiple R2?

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A multiple regression model includes the term (X1)(X2). If the hypothesis is that the term's regression coefficient is NOT rejected, what is a valid conclusion?

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A multiple regression analysis showed the following ANOVA table result. A multiple regression analysis showed the following ANOVA table result.   Based on the information in the ANOVA, what is the decision regarding the global null hypothesis? Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?

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If the correlation between the two independent variables of a regression analysis is 0.11 and each independent variable is highly correlated to the dependent variable, what does this indicate?

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Which statistic is used to test hypotheses about individual regression coefficients?

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In multiple regression analysis, when the independent variables are highly correlated, this situation is called __________________.

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Which of the following is a characteristic of the F distribution?

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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 multiple regression analysis, residuals (Y - Ŷ) should be ____________.

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If the correlation between the two independent variables of a regression analysis is 0.11, and each independent variable is highly correlated to the dependent variable, what does this indicate?

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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 hypothesis tests for the individual regression coefficients, _____________. Based on the hypothesis tests for the individual regression coefficients, _____________.

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