Question 1

In a multiple regression model, which of the following is correct regarding the value of the
Adjusted  
?

Accepted Answer

A)  It can be negative. 
B)  It has to be positive. 
C)  It has to be larger than the coefficient of multiple determination. 
D)  It can be larger than 1. 
A)  It can be negative. 
B)  It has to be positive. 
C)  It has to be larger than the coefficient of multiple determination. 
D)  It can be larger than 1. A

Question 2

SCENARIO 14-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage
spending by companies.She proceeds to randomly select 26 large corporations and record
information in millions of dollars.The Microsoft Excel output below shows results of this multiple
regression.   
Introduction to Multiple Regression 14-17
-Referring to Scenario 14-5, one company in the sample had sales of $21.439 billion (Sales =
21,439).This company spent $300 million on capital and $700 million on wages.What is the
Residual (in millions of dollars)for this data point?

Accepted Answer

A)  790.69 
B)  648.31 
C)  -648.31 
D)  -790.69 
A)  790.69 
B)  648.31 
C)  -648.31 
D)  -790.69 B

Question 3

Accepted Answer

B

Question 4

SCENARIO 14-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage
spending by companies.She proceeds to randomly select 26 large corporations and record
information in millions of dollars.The Microsoft Excel output below shows results of this multiple
regression.   
Introduction to Multiple Regression 14-17
-Referring to Scenario 14-5, what fraction of the variability in sales is explained by spending on
Capital and wages?

Accepted Answer

A)  27.0% 
B)  50.9% 
C)  68.9% 
D)  83.0% 
A)  27.0% 
B)  50.9% 
C)  68.9% 
D)  83.0%

Question 5

True or False: The interpretation of the slope is different in a multiple linear regression model as
compared to a simple linear regression model.

Accepted Answer

A) True 
 B)False

Question 6

SCENARIO 14-3  
-Referring to Scenario 14-3, to test for the significance of the coefficient on aggregate price index,
The value of the relevant t-statistic is

Accepted Answer

A)  2.365 
B)  0.143 
C)  - 0.219 
D)  - 1.960 
A)  2.365 
B)  0.143 
C)  - 0.219 
D)  - 1.960

Question 7

SCENARIO 14-15  
-Referring to Scenario 14-15, which of the following is the correct null hypothesis to determine
Whether there is a significant relationship between percentage of students passing the proficiency
Test and the entire set of explanatory variables?

Accepted Answer

Question 8

SCENARIO 14-4   
14-10 Introduction to Multiple Regression
-Referring to Scenario 14-4, what fraction of the variability in house size is explained by income
And size of family?

Accepted Answer

A)  17.56% 
B)  70.69% 
C)  71.89% 
D)  84.79% 
A)  17.56% 
B)  70.69% 
C)  71.89% 
D)  84.79%

Question 9

True or False: A regression had the following results: SST = 102.55, SSE = 82.04.It can be
said that 90.0% of the variation in the dependent variable is explained by the independent
variables in the regression.

Accepted Answer

A) True 
 B)False

Question 10

SCENARIO 14-16     
14-64 Introduction to Multiple Regression   
Introduction to Multiple Regression 14-65  
-Referring to Scenario 14-16, what is the correct interpretation for the estimated coefficient for
X2?

Accepted Answer

A)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds lower than that of a non-sedan after considering the effect of the engine size. 
B)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds higher than that of a non-sedan after considering the effect of the engine size. 
C)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds lower than that of a non-sedan without considering the effect of the engine size. 
D)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds higher than that of a non-sedan without considering the effect of the engine size. 
A)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds lower than that of a non-sedan after considering the effect of the engine size. 
B)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds higher than that of a non-sedan after considering the effect of the engine size. 
C)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds lower than that of a non-sedan without considering the effect of the engine size. 
D)  The mean 0 to 60 miles per hour acceleration time of a sedan is estimated to be 0.7264 seconds higher than that of a non-sedan without considering the effect of the engine size.

Question 11

True or False: A regression had the following results: SST = 82.55, SSE = 29.85.It can be said
that 73.4% of the variation in the dependent variable is explained by the independent variables in
the regression.

Accepted Answer

A) True 
 B)False

Question 12

SCENARIO 14-4   
14-10 Introduction to Multiple Regression
-Referring to Scenario 14-4, which of the independent variables in the model are significant at the
5% level?

Accepted Answer

A)  Income only 
B)  Size only 
C)  Income and Size 
D)  None 
A)  Income only 
B)  Size only 
C)  Income and Size 
D)  None

Question 13

SCENARIO 14-15  
-Referring to Scenario 14-15, the null hypothesis H01:0β ==β2 implies that percentage of
students passing the proficiency test is not related to one of the explanatory variables.

Accepted Answer

A) True 
 B)False

Question 14

SCENARIO 14-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage
spending by companies.She proceeds to randomly select 26 large corporations and record
information in millions of dollars.The Microsoft Excel output below shows results of this multiple
regression.   
Introduction to Multiple Regression 14-17
-Referring to Scenario 14-5, what is the p-value for testing whether Wages have a positive impact
On corporate sales?

Accepted Answer

A)  0.01 
B)  0.05 
C)  0.0001 
D)  0.00005 
A)  0.01 
B)  0.05 
C)  0.0001 
D)  0.00005

Question 15

SCENARIO 14-4   
14-10 Introduction to Multiple Regression
-Referring to Scenario 14-4, suppose the builder wants to test whether the coefficient on Income is
Significantly different from 0.What is the value of the relevant t-statistic?

Accepted Answer

A)  -0.7630 
B)  3.2708 
C)  10.8668 
D)  60.0864 
A)  -0.7630 
B)  3.2708 
C)  10.8668 
D)  60.0864

Question 16

SCENARIO 14-15  
-True or False: Referring to Scenario 14-15, there is sufficient evidence that mean teacher salary
has an effect on percentage of students passing the proficiency test while holding constant the
effect of instructional spending per pupil at a 5% level of significance.

Accepted Answer

A) True 
 B)False

Question 17

SCENARIO 14-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage
spending by companies.She proceeds to randomly select 26 large corporations and record
information in millions of dollars.The Microsoft Excel output below shows results of this multiple
regression.   
Introduction to Multiple Regression 14-17
-Referring to Scenario 14-5, what is the p-value for Wages?

Accepted Answer

A)  0.01 
B)  0.05 
C)  0.0001 
D)  None of the above 
A)  0.01 
B)  0.05 
C)  0.0001 
D)  None of the above

Question 18

SCENARIO 14-4   
14-10 Introduction to Multiple Regression
-Referring to Scenario 14-4, at the 0.01 level of significance, what conclusion should the builder
Draw regarding the inclusion of Size in the regression model?

Accepted Answer

A)  Size is significant in explaining house size and should be included in the model because its p-value is less than 0.01. 
B)  Size is significant in explaining house size and should be included in the model because its p-value is more than 0.01. 
C)  Size is not significant in explaining house size and should not be included in the model because its p-value is less than 0.01. 
D)  Size is not significant in explaining house size and should not be included in the model because its p-value is more than 0.01. 
A)  Size is significant in explaining house size and should be included in the model because its p-value is less than 0.01. 
B)  Size is significant in explaining house size and should be included in the model because its p-value is more than 0.01. 
C)  Size is not significant in explaining house size and should not be included in the model because its p-value is less than 0.01. 
D)  Size is not significant in explaining house size and should not be included in the model because its p-value is more than 0.01.

Question 19

SCENARIO 14-1  
-Referring to Scenario 14-1, for these data, what is the estimated coefficient for the variable
Representing scores on the aptitude test, b2?

Accepted Answer

A)  0.998 
B)  3.103 
C)  4.698 
D)  21.293 
A)  0.998 
B)  3.103 
C)  4.698 
D)  21.293

Question 20

SCENARIO 14-15  
-True or False: Referring to Scenario 14-15, the null hypothesis should be rejected at a 5% level
of significance when testing whether mean teacher salary has any effect on percentage of students
passing the proficiency test, taking into account the effect of instructional spending per pupil.

Accepted Answer

A) True 
 B)False

In a multiple regression model, which of the following is correct regarding the value of the Adjusted ?

True or False: The interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

SCENARIO 14-3 -Referring to Scenario 14-3, to test for the significance of the coefficient on aggregate price index, The value of the relevant t-statistic is

SCENARIO 14-15 -Referring to Scenario 14-15, which of the following is the correct null hypothesis to determine Whether there is a significant relationship between percentage of students passing the proficiency Test and the entire set of explanatory variables?

True or False: A regression had the following results: SST = 102.55, SSE = 82.04.It can be said that 90.0% of the variation in the dependent variable is explained by the independent variables in the regression.

SCENARIO 14-16 14-64 Introduction to Multiple Regression Introduction to Multiple Regression 14-65 -Referring to Scenario 14-16, what is the correct interpretation for the estimated coefficient for X2?

True or False: A regression had the following results: SST = 82.55, SSE = 29.85.It can be said that 73.4% of the variation in the dependent variable is explained by the independent variables in the regression.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, which of the independent variables in the model are significant at the 5% level?

SCENARIO 14-15 -Referring to Scenario 14-15, the null hypothesis H01:0β ==β2 implies that percentage of students passing the proficiency test is not related to one of the explanatory variables.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, suppose the builder wants to test whether the coefficient on Income is Significantly different from 0.What is the value of the relevant t-statistic?

SCENARIO 14-15 -True or False: Referring to Scenario 14-15, there is sufficient evidence that mean teacher salary has an effect on percentage of students passing the proficiency test while holding constant the effect of instructional spending per pupil at a 5% level of significance.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, at the 0.01 level of significance, what conclusion should the builder Draw regarding the inclusion of Size in the regression model?

SCENARIO 14-1 -Referring to Scenario 14-1, for these data, what is the estimated coefficient for the variable Representing scores on the aptitude test, b2?

Defining and Collecting Data

Organizing and Visualizing

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

Conthe Tinuonormausl Disdis Tributionstribution and Other

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric

Simple Linear Regression

Multiple Regression

Time-Series Forecasting

Business Analytics

A Roadmap for Analyzing Data

Statistical Applications in Quality Management

Decision Making

Filters

Exam 14: Introduction to Multiple

In a multiple regression model, which of the following is correct regarding the value of the Adjusted ?

True or False: The interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

SCENARIO 14-3 -Referring to Scenario 14-3, to test for the significance of the coefficient on aggregate price index, The value of the relevant t-statistic is

SCENARIO 14-15 -Referring to Scenario 14-15, which of the following is the correct null hypothesis to determine Whether there is a significant relationship between percentage of students passing the proficiency Test and the entire set of explanatory variables?

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, what fraction of the variability in house size is explained by income And size of family?

True or False: A regression had the following results: SST = 102.55, SSE = 82.04.It can be said that 90.0% of the variation in the dependent variable is explained by the independent variables in the regression.

SCENARIO 14-16 14-64 Introduction to Multiple Regression Introduction to Multiple Regression 14-65 -Referring to Scenario 14-16, what is the correct interpretation for the estimated coefficient for X2?

True or False: A regression had the following results: SST = 82.55, SSE = 29.85.It can be said that 73.4% of the variation in the dependent variable is explained by the independent variables in the regression.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, which of the independent variables in the model are significant at the 5% level?

SCENARIO 14-15 -Referring to Scenario 14-15, the null hypothesis H01:0β ==β2 implies that percentage of students passing the proficiency test is not related to one of the explanatory variables.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, suppose the builder wants to test whether the coefficient on Income is Significantly different from 0.What is the value of the relevant t-statistic?

SCENARIO 14-15 -True or False: Referring to Scenario 14-15, there is sufficient evidence that mean teacher salary has an effect on percentage of students passing the proficiency test while holding constant the effect of instructional spending per pupil at a 5% level of significance.

SCENARIO 14-4 14-10 Introduction to Multiple Regression -Referring to Scenario 14-4, at the 0.01 level of significance, what conclusion should the builder Draw regarding the inclusion of Size in the regression model?

SCENARIO 14-1 -Referring to Scenario 14-1, for these data, what is the estimated coefficient for the variable Representing scores on the aptitude test, b2?

Defining and Collecting Data

Organizing and Visualizing

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

Conthe Tinuonormausl Disdis Tributionstribution and Other

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric

Simple Linear Regression

Multiple Regression

Time-Series Forecasting

Business Analytics

A Roadmap for Analyzing Data

Statistical Applications in Quality Management

Decision Making

Filters