Exam 14: Multiple Regression Analysis

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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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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:   In the regression model, which of the following are dummy variables? In the regression model, which of the following are dummy variables?

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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, the multiple R2 measures the proportion of ____________.

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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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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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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: 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:   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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When applying the stepwise regression technique, _________ independent is included in the first multiple regression model.

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What can we conclude if the global test of regression rejects the null hypothesis?

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When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same for all values of the independent variable, the differences are said to exhibit ______________.

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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 is the dependent variable? Which is the dependent variable?

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In multiple regression analysis, residual analysis is used to test the requirement that ___________.

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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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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.   Which variable in the model is the most significant predictor of tire production? Which variable in the model is the most significant predictor of tire production?

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In an ANOVA for a multiple regression analysis, the three sources of variation are __________________.

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In the general multiple regression equation, which of the following variables represents the Y-intercept?

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In a multiple regression analysis with five independent variables, the null hypothesis, H0: β4 = 0, is not rejected. When predicting the dependent variable, the independent variable, X4, has ______ relationship to the dependent variable.

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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: 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:   Write out the multiple regression equation. Write out the multiple regression equation.

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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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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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