A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X1 + 0.00028X2 +42X3 + 0.0012X4 + 0.19X5 + 26.8X6. What is the estimated index of satisfaction for a person who first married at 25, has an annual income of $26,500, has two children, has assets of $156,000, has in index of health status of 141, and has 2.5 social activities per week?

A) 389.1 B) 421.6 C) 366.0 D) 601.6 E) 769.8 A) 389.1 B) 421.6 C) 366.0 D) 601.6 E) 769.8

i. Multiple R2 measures the proportion of explained variation. ii. 90% of total variation in the dependent variable is explained by the independent variable for a multiple R2 = 0.90. iii. The multiple standard error of estimate measures the variation about the regression plane when two independent variables are considered.

A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements. A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

It has been hypothesized that overall academic success for freshmen at college 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: Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3. The multiple standard error is 6.313 and R2= 0.826. How will a student's GPA be affected if an additional hour is spent studying each weeknight?

A) Increases by 0.535 B) Decreases by 0.535 C) Increases by 0.107 D) Decreases by 0.107 E) Increases by 0.0083 A) Increases by 0.535 B) Decreases by 0.535 C) Increases by 0.107 D) Decreases by 0.107 E) Increases by 0.0083

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X1 + 0.00028X2 +42X3 + 0.0012X4 + 0.09X5 + 26.8X6. Explain the meaning of b4.

A) For each additional living child, their satisfaction index is expected to increase by 42 points. B) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 0.028 points. C) For each additional$10,000 in assets, their satisfaction index is expected to increase by 0.12 points. D) For each additional$10,000 in assets, their satisfaction index is expected to increase by 1.2 points. E) For each additional$10,000 in assets, their satisfaction index is expected to increase by 12 points. A) For each additional living child, their satisfaction index is expected to increase by 42 points. B) For each additional$1,000 of annual income, their satisfaction index is expected to increase by 0.028 points. C) For each additional$10,000 in assets, their satisfaction index is expected to increase by 0.12 points. D) For each additional$10,000 in assets, their satisfaction index is expected to increase by 1.2 points. E) For each additional$10,000 in assets, their satisfaction index is expected to increase by 12 points.

It has been hypothesized that overall academic success for freshmen at college 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: Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3. The multiple standard error is 6.313 and R2= 0.826. How many dependent variables are in the regression equation?

A) One B) Two C) Three D) Four A) One B) Two C) Three D) Four

Exam 13: Multiple Regression and Correlation Analysis

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the least significant in predicting tire production?

(Multiple Choice)

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Question 101

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

(Multiple Choice)

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Question 102

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X₁), annual income (X₂), number of children living (X₃), value of all assets (X₄), status of health in the form of an index (X₅), and the average number of social activities per week (X₆). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X₁+ 0.00028X₂+42X₃+ 0.0012X₄+ 0.19X₅+ 26.8X₆. What is the estimated index of satisfaction for a person who first married at 25, has an annual income of $26,500, has two children, has assets of $156,000, has in index of health status of 141, and has 2.5 social activities per week?

(Multiple Choice)

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Question 103

It is thought that there are a variety of factors that affect a teacher's salary. Using the following printout and sample data, determine whether the holding of a PhD degree is a significant variable when tested at the 1% level of significance. X₁is years of teaching experience, X₂is principal's rating and x₃is the presence of a PhD or not.

(Multiple Choice)

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Question 104

i. The multiple coefficient of determination, R², reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables. ii. The coefficient of multiple determination reports the strength of the association between the dependent variable and the set of independent variables. iii. The multiple standard error of estimate for two independent variables measures the variation about a regression plane.

(Multiple Choice)

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Question 105

What does the multiple standard error of estimate measure?

(Multiple Choice)

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Question 106

A real estate agent developed a model to relate a house's selling price (Y) to the area of floor space (X) and the area of floor space squared (X²). The multiple regression equation for this model is: Y = 125 - 3X + X²where: Y = selling price (times $1,000) X = square feet of floor space (times 100) What is the selling price of a house with 1,000 square feet? ______

(Multiple Choice)

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Question 107

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

(Multiple Choice)

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Question 108

i. Multiple R² measures the proportion of explained variation. ii. 90% of total variation in the dependent variable is explained by the independent variable for a multiple R² = 0.90. iii. The multiple standard error of estimate measures the variation about the regression plane when two independent variables are considered.

(Multiple Choice)

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Question 109

It has been hypothesized that overall academic success for freshmen at college 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: Y' = -6.9 + 0.055X₁+ 0.107X₂+ 0.0083X₃. The multiple standard error is 6.313 and R²= 0.826. How will a student's GPA be affected if an additional hour is spent studying each weeknight?

(Multiple Choice)

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Question 110

In regression analysis, the df_err = ________.

(Multiple Choice)

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Question 111

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

(Multiple Choice)

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Question 112

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X₁), annual income (X₂), number of children living (X₃), value of all assets (X₄), status of health in the form of an index (X₅), and the average number of social activities per week (X₆). Suppose the multiple regression equation is: Y' = 16.24 + 0.017X₁+ 0.00028X₂+42X₃+ 0.0012X₄+ 0.09X₅+ 26.8X₆. Explain the meaning of b₄.

(Multiple Choice)

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Question 113

It has been hypothesized that overall academic success for freshmen at college 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: Y' = -6.9 + 0.055X₁+ 0.107X₂+ 0.0083X₃. The multiple standard error is 6.313 and R²= 0.826. How many dependent variables are in the regression equation?

(Multiple Choice)

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Question 114

The information below is from the multiple regression analysis computer output for 28 teams in Major League Baseball. The model is designed to predict wins using attendance, payroll, batting average, home runs, stolen bases, errors, and team ERA. The critical value of F to be used in the global test of the model is: (5% level of significance)

(Multiple Choice)

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Question 115

i. The multiple standard error of estimate measures the variation about the regression plane when two independent variables are considered. ii. A coefficient of multiple determination equaling -0.76 is definitely possible. iii. The number of degrees of freedom associated with the regression sum of squares in the regression equation model equals the number of independent variables.

(Multiple Choice)

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Question 116

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

(Multiple Choice)

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Question 117

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?

(Multiple Choice)

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Question 118

The information below is from the multiple regression analysis computer output for 28 teams in Major League Baseball. The model is designed to predict wins using attendance, payroll, batting average, home runs, stolen bases, errors, and team ERA. The multiple correlation coefficient is:

(Multiple Choice)

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Question 119

i. Violating the need for successive observations of the dependent variable to be uncorrelated is called autocorrelation. ii. If an inverse relationship exists between the dependent variable and independent variables, the regression coefficients for the independent variables are negative. iii. Given a multiple linear equation Y' = 5.1 + 2.2X₁ - 3.5X₂, assuming other things are held constant, an increase in one unit of the second independent variable will cause a -3.5 unit change in Y.

(Multiple Choice)

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Question 120

Showing 101 - 120 of 128

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the least significant in predicting tire production?

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

What does the multiple standard error of estimate measure?

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

In regression analysis, the df_err = ________.

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

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

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?

The information below is from the multiple regression analysis computer output for 28 teams in Major League Baseball. The model is designed to predict wins using attendance, payroll, batting average, home runs, stolen bases, errors, and team ERA. The multiple correlation coefficient is:

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters

Exam 13: Multiple Regression and Correlation Analysis

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the least significant in predicting tire production?

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

What does the multiple standard error of estimate measure?

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

In regression analysis, the dferr = ________.

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

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

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?

The information below is from the multiple regression analysis computer output for 28 teams in Major League Baseball. The model is designed to predict wins using attendance, payroll, batting average, home runs, stolen bases, errors, and team ERA. The multiple correlation coefficient is:

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters

In regression analysis, the df_err = ________.