Question 1

The ratio of MSE/MSR yields

Accepted Answer

A) SST 
B) the F statistic 
C) SSR 
D) None of these alternatives is correct. 
A) SST 
B) the F statistic 
C) SSR 
D) None of these alternatives is correct. D

Question 2

The following regression model has been proposed to predict sales at a fast food outlet.   
a.What is the interpretation of 15 (the coefficient of X3)in the regression equation?
b.Predict sales for a store with 2 competitors,a population of 10,000 within one mile,and one drive-up window (give the answer in dollars).
c.Predict sales for the store with 2 competitors,a population of 10,000 within one mile,and no drive-up window (give the answer in dollars).

Accepted Answer

a.Sales of stores with drive-up windows are $15,000 higher than those without drive-up windows.b.$99,000
c.$84,000

Question 3

The following is part of the results of a regression analysis involving sales (Y in millions of dollars),advertising expenditures (X1 in thousands of dollars),and number of sales people (X2)for a corporation:
   
a.At $\alpha$ = 0.05 level of significance,test to determine if the model is significant.That is,determine if there exists a significant relationship between the independent variables and the dependent variable.
b.Determine the multiple coefficient of determination.
c.Determine the adjusted multiple coefficient of determination.
d.What has been the sample size for this regression analysis?

Accepted Answer

a.F = 3.91;p-value is between .05 and 0.1;do not reject H₀;not significant (critical F = 4.74) b.0.528 c.0.393 d.10

Question 4

Exhibit 15-8
The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (XS1U1B11S1U1B0)and their gender (XS1U1B12S1U1B0)(0 if male and 1 if female).   Also provided are SST = 1,200 and SSE = 384.
-Refer to Exhibit 15-8.From the above function,it can be said that the expected yearly income of

Accepted Answer

A) males is $3 more than females 
B) females is $3 more than males 
C) males is $3,000 more than females 
D) females is $3,000 more than males 
A) males is $3 more than females 
B) females is $3 more than males 
C) males is $3,000 more than females 
D) females is $3,000 more than males

Question 5

In multiple regression analysis,

Accepted Answer

A) there can be any number of dependent variables but only one independent variable 
B) there must be only one independent variable 
C) the coefficient of determination must be larger than 1 
D) there can be several independent variables,but only one dependent variable 
A) there can be any number of dependent variables but only one independent variable 
B) there must be only one independent variable 
C) the coefficient of determination must be larger than 1 
D) there can be several independent variables,but only one dependent variable

Question 6

In regression analysis,an outlier is an observation whose

Accepted Answer

A) mean is larger than the standard deviation 
B) residual is zero 
C) mean is zero 
D) residual is much larger than the rest of the residual values 
A) mean is larger than the standard deviation 
B) residual is zero 
C) mean is zero 
D) residual is much larger than the rest of the residual values

Question 7

A variable that cannot be measured in numerical terms is called

Accepted Answer

A) a nonmeasurable random variable 
B) a constant variable 
C) a dependent variable 
D) a qualitative variable 
A) a nonmeasurable random variable 
B) a constant variable 
C) a dependent variable 
D) a qualitative variable

Question 8

The mathematical equation relating the expected value of the dependent variable to the value of the independent variables,which has the form of E(y)=  
Is

Accepted Answer

A) a simple linear regression model 
B) a multiple nonlinear regression model 
C) an estimated multiple regression equation 
D) a multiple regression equation 
A) a simple linear regression model 
B) a multiple nonlinear regression model 
C) an estimated multiple regression equation 
D) a multiple regression equation

Question 9

Exhibit 15-8
The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (XS1U1B11S1U1B0)and their gender (XS1U1B12S1U1B0)(0 if male and 1 if female).   Also provided are SST = 1,200 and SSE = 384.
-Refer to Exhibit 15-8.The estimated income of a 30-year-old male is

Accepted Answer

A) $51,000 
B) $5,100 
C) $510 
D) $51 
A) $51,000 
B) $5,100 
C) $510 
D) $51

Question 10

The following is part of the results of a regression analysis involving sales (Y in millions of dollars),advertising expenditures (X1 in thousands of dollars),and number of salespeople (X2)for a corporation.The regression was performed on a sample of 10 observations.
   
a.Write the regression equation.
b.Interpret the coefficients of the estimated regression equation found in Part (a).
c.At $\alpha$ =0.05,test for the significance of the coefficient of advertising.
d.At $\alpha$ =0.05,test for the significance of the coefficient of number of salespeople.
e.If the company uses $50,000 in advertisement and has 800 salespersons,what are the expected sales? Give your answer in dollars.

Accepted Answer

a.b.As advertising increases by 1 unit (

Question 11

The following regression model has been proposed to predict sales at a furniture store.   
   
a.Fully interpret the meaning of the coefficient of X3.
b.Predict sales (in dollars)for a store with competitor's previous day's sale of $3,000,a population of 10,000 within 1 mile,and six radio advertisements.

Accepted Answer

a.When advertising w

Question 12

Exhibit 15-6
Below you are given a partial computer output based on a sample of 16 observations.
  
-Refer to Exhibit 15-6.The estimated regression equation is

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Exhibit 15-2
PTS: 1 TOP: Multiple Regression
NARRBEGIN: Exhibit 15-3
Exhibit 15-3
In a regression model involving 30 observations,the following estimated regression equation was obtained:   For this model SSR = 700 and SSE = 100.
-Refer to Exhibit 15-3.The conclusion is that the

Accepted Answer

A) model is not significant 
B) model is significant 
C) slope of X1 is significant 
D) slope of X2 is significant 
A) model is not significant 
B) model is significant 
C) slope of X1 is significant 
D) slope of X2 is significant

Question 14

Exhibit 15-2
A regression model between sales (Y in $1,000),unit price (XS1U1B11S1U1B0 in dollars)and television advertisement (XS1U1B12S1U1B0 in dollars)resulted in the following function:   For this model SSR = 3500,SSE = 1500,and the sample size is 18.
-Refer to Exhibit 15-2.To test for the significance of the model,the test statistic F is

Accepted Answer

A) 2.33 
B) 0.70 
C) 17.5 
D) 1.75 
A) 2.33 
B) 0.70 
C) 17.5 
D) 1.75

Question 15

Exhibit 15-2
PTS: 1 TOP: Multiple Regression
NARRBEGIN: Exhibit 15-3
Exhibit 15-3
In a regression model involving 30 observations,the following estimated regression equation was obtained:   For this model SSR = 700 and SSE = 100.
-Refer to Exhibit 15-3.The coefficient of determination for the above model is approximately

Accepted Answer

A) -0.875 
B) 0.875 
C) 0.125 
D) 0.144 
A) -0.875 
B) 0.875 
C) 0.125 
D) 0.144

Question 16

Exhibit 15-7
A regression model involving 4 independent variables and a sample of 15 periods resulted in the following sum of squares.
  
-Refer to Exhibit 15-7.If we want to test for the significance of the model at 95% confidence,the critical F value (from the table)is

Accepted Answer

A) 3.06 
B) 3.48 
C) 3.34 
D) 3.11 
A) 3.06 
B) 3.48 
C) 3.34 
D) 3.11

Question 17

In logistic regression,

Accepted Answer

A) there can only be two independent variables 
B) there are two dependent variables 
C) the dependent variable only assumes two discrete values 
D) the dependent variable only assumes two continuous values 
A) there can only be two independent variables 
B) there are two dependent variables 
C) the dependent variable only assumes two discrete values 
D) the dependent variable only assumes two continuous values

Question 18

In a multiple regression model,the values of the error term ,$\varepsilon$,are assumed to be

Accepted Answer

A) zero 
B) dependent on each other 
C) independent of each other 
D) always negative 
A) zero 
B) dependent on each other 
C) independent of each other 
D) always negative

Question 19

In a multiple regression analysis SSR = 1,000 and SSE = 200.The F statistic for this model is

Accepted Answer

A) 5.0 
B) 1,200 
C) 800 
D) Not enough information is provided to answer this question. 
A) 5.0 
B) 1,200 
C) 800 
D) Not enough information is provided to answer this question.

Question 20

Shown below is a partial computer output from a regression analysis.
   
a.Use the above results and write the regression equation.
b.Compute the coefficient of determination and fully interpret its meaning.
c.At $\alpha$ = 0.05,test to see if there is a relation between X1 and Y.
d.At $\alpha$ = 0.05,test to see if there is a relation between X3 and Y.
e.Is the regression model significant? Perform an F test and let $\alpha$ = 0.05.

Accepted Answer

a.b.0.4286;42.86% of variation in depend

The ratio of MSE/MSR yields

In multiple regression analysis,

In regression analysis,an outlier is an observation whose

A variable that cannot be measured in numerical terms is called

The mathematical equation relating the expected value of the dependent variable to the value of the independent variables,which has the form of E(y)= Is

The following regression model has been proposed to predict sales at a furniture store. a.Fully interpret the meaning of the coefficient of X₃. b.Predict sales (in dollars)for a store with competitor's previous day's sale of $3,000,a population of 10,000 within 1 mile,and six radio advertisements.

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The estimated regression equation is

Exhibit 15-2 PTS: 1 TOP: Multiple Regression NARRBEGIN: Exhibit 15-3 Exhibit 15-3 In a regression model involving 30 observations,the following estimated regression equation was obtained: For this model SSR = 700 and SSE = 100. -Refer to Exhibit 15-3.The conclusion is that the

Exhibit 15-7 A regression model involving 4 independent variables and a sample of 15 periods resulted in the following sum of squares. -Refer to Exhibit 15-7.If we want to test for the significance of the model at 95% confidence,the critical F value (from the table)is

In logistic regression,

In a multiple regression model,the values of the error term , $\varepsilon$ ,are assumed to be

In a multiple regression analysis SSR = 1,000 and SSE = 200.The F statistic for this model is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 15: Multiple Regression

The ratio of MSE/MSR yields

In multiple regression analysis,

In regression analysis,an outlier is an observation whose

A variable that cannot be measured in numerical terms is called

The mathematical equation relating the expected value of the dependent variable to the value of the independent variables,which has the form of E(y)= Is

The following regression model has been proposed to predict sales at a furniture store. a.Fully interpret the meaning of the coefficient of X3. b.Predict sales (in dollars)for a store with competitor's previous day's sale of $3,000,a population of 10,000 within 1 mile,and six radio advertisements.

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The estimated regression equation is

Exhibit 15-2 PTS: 1 TOP: Multiple Regression NARRBEGIN: Exhibit 15-3 Exhibit 15-3 In a regression model involving 30 observations,the following estimated regression equation was obtained: For this model SSR = 700 and SSE = 100. -Refer to Exhibit 15-3.The conclusion is that the

Exhibit 15-7 A regression model involving 4 independent variables and a sample of 15 periods resulted in the following sum of squares. -Refer to Exhibit 15-7.If we want to test for the significance of the model at 95% confidence,the critical F value (from the table)is

In logistic regression,

In a multiple regression model,the values of the error term , ε\varepsilonε ,are assumed to be

In a multiple regression analysis SSR = 1,000 and SSE = 200.The F statistic for this model is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

In a multiple regression model,the values of the error term , $\varepsilon$ ,are assumed to be