Question 1

The multiple coefficient of determination is

Accepted Answer

A) MSR/MST 
B) MSR/MSE 
C) SSR/SST 
D) SSE/SSR 
A) MSR/MST 
B) MSR/MSE 
C) SSR/SST 
D) SSE/SSR

Question 2

The following regression model has been proposed to predict monthly sales at a shoe store.   
a.Predict sales (in dollars)for the shoe store if the competitor's previous month's sales were $9,000,the store's previous month's sales were $30,000,and no radio advertisements were run.
b.Predict sales (in dollars)for the shoe store if the competitor's previous month's sales were $9,000,the store's previous month's sales were $30,000,and 10 radio advertisements were run.

Accepted Answer

a.$373,000

Question 3

Exhibit 15-1
In a regression model involving 44 observations,the following estimated regression equation was obtained.   For this model SSR = 600 and SSE = 400.
-Refer to Exhibit 15-1.The coefficient of determination for the above model is

Accepted Answer

A) 0.667 
B) 0.600 
C) 0.336 
D) o.400 
A) 0.667 
B) 0.600 
C) 0.336 
D) o.400

Question 4

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.The multiple coefficient of correlation for this problem is

Accepted Answer

A) 0.70 
B) 0.8367 
C) 0.49 
D) 0.2289 
A) 0.70 
B) 0.8367 
C) 0.49 
D) 0.2289

Question 5

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 model

Accepted Answer

A) is significant 
B) is not significant 
C) would be significant is the sample size was larger than 30 
D) None of these alternatives is correct. 
A) is significant 
B) is not significant 
C) would be significant is the sample size was larger than 30 
D) None of these alternatives is correct.

Question 6

Exhibit 15-6
Below you are given a partial computer output based on a sample of 16 observations.
  
-Refer to Exhibit 15-6.The test statistic used to determine if there is a relationship among the variables equals

Accepted Answer

A) -1.4 
B) 0.2 
C) 0.77 
D) 5 
A) -1.4 
B) 0.2 
C) 0.77 
D) 5

Question 7

Exhibit 15-4
a.   b.   c.   d.  
-Which equation describes the multiple regression equation?

Accepted Answer

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

Question 8

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 yearly income of a 24-year-old female individual is

Accepted Answer

A) $19.80 
B) $19,800 
C) $49.80 
D) $49,800 
A) $19.80 
B) $19,800 
C) $49.80 
D) $49,800

Question 9

Exhibit 15-1
In a regression model involving 44 observations,the following estimated regression equation was obtained.   For this model SSR = 600 and SSE = 400.
-Refer to Exhibit 15-1.The computed F statistics for testing the significance of the above model is

Accepted Answer

A) 1.500 
B) 20.00 
C) 0.600 
D) 0.6667 
A) 1.500 
B) 20.00 
C) 0.600 
D) 0.6667

Question 10

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares.
   
a.Compute the coefficient of determination.
b.At $\alpha$ = 0.05,test to determine whether or not the model is significant.

Accepted Answer

a.0.83
b.F = 36.62;p

Question 11

The estimate of the multiple regression equation based on the sample data,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 12

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 multiple coefficient of determination is

Accepted Answer

A) 0.32 
B) 0.42 
C) 0.68 
D) 0.50 
A) 0.32 
B) 0.42 
C) 0.68 
D) 0.50

Question 13

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.The coefficient of the unit price indicates that if the unit price is

Accepted Answer

A) increased by $1 (holding advertising constant),sales are expected to increase by $3 
B) decreased by $1 (holding advertising constant),sales are expected to decrease by $3 
C) increased by $1 (holding advertising constant),sales are expected to increase by $4,000 
D) increased by $1 (holding advertising constant),sales are expected to decrease by $3,000 
A) increased by $1 (holding advertising constant),sales are expected to increase by $3 
B) decreased by $1 (holding advertising constant),sales are expected to decrease by $3 
C) increased by $1 (holding advertising constant),sales are expected to increase by $4,000 
D) increased by $1 (holding advertising constant),sales are expected to decrease by $3,000

Question 14

A regression was performed on a sample of 20 observations.Two independent variables were included in the analysis,X and Z.The relationship between X and Z is Z = X2.The following estimated equation was obtained.   
The standard errors for the coefficients are Sb1 = 4.85 and Sb2 = 0.21
For this model,SSR = 520.2 and SSE = 340.6 
a.Estimate the value of Y when X = 5.
b.Compute the appropriate t ratios.
c.Test for the significance of the coefficients at the 5% level.Which variable(s)is (are)significant?
d.Compute the coefficient of determination and the adjusted coefficient of determination.Interpret the meaning of the coefficient of determination.
e.Test the significance of the relationship among the variables at the 5% level of significance.

Accepted Answer

a.106.72
b.2.6,3.8
c.For x,t = 2.6;p-val

Question 15

The adjusted multiple coefficient of determination is adjusted for

Accepted Answer

A) the number of dependent variables 
B) the number of independent variables 
C) the number of equations 
D) detrimental situations 
A) the number of dependent variables 
B) the number of independent variables 
C) the number of equations 
D) detrimental situations

Question 16

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 test statistic for testing the significance of the model is

Accepted Answer

A) 0.73 
B) 1.47 
C) 28.69 
D) 5.22 
A) 0.73 
B) 1.47 
C) 28.69 
D) 5.22

Question 17

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

Accepted Answer

A) an interaction 
B) a constant variable 
C) a dummy variable 
D) None of these alternatives is correct. 
A) an interaction 
B) a constant variable 
C) a dummy variable 
D) None of these alternatives is correct.

Question 18

In a multiple regression model,the error term $\varepsilon$ is assumed to be a random variable with a mean of

Accepted Answer

A) zero 
B) -1 
C) 1 
D) any value 
A) zero 
B) -1 
C) 1 
D) any value

Question 19

A regression model involved 18 independent variables and 200 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

Accepted Answer

A) 18 degrees of freedom 
B) 200 degrees of freedom 
C) 199 degrees of freedom 
D) 181 degrees of freedom 
A) 18 degrees of freedom 
B) 200 degrees of freedom 
C) 199 degrees of freedom 
D) 181 degrees of freedom

Question 20

In a multiple regression analysis involving 10 independent variables and 81 observations,SST = 120 and SSE = 42.The coefficient of determination is

Accepted Answer

A) 0.81 
B) 0.11 
C) 0.35 
D) 0.65 
A) 0.81 
B) 0.11 
C) 0.35 
D) 0.65

The multiple coefficient of determination is

Exhibit 15-1 In a regression model involving 44 observations,the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1.The coefficient of determination for the above model is

Exhibit 15-8 The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (X₁)and their gender (X₂)(0 if male and 1 if female). Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 15-8.The model

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The test statistic used to determine if there is a relationship among the variables equals

Exhibit 15-4 a. b. c. d. -Which equation describes the multiple regression equation?

Exhibit 15-1 In a regression model involving 44 observations,the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1.The computed F statistics for testing the significance of the above model is

The estimate of the multiple regression equation based on the sample data,which has the form of E(y)= Is

The adjusted multiple coefficient of determination is adjusted for

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

In a multiple regression model,the error term $\varepsilon$ is assumed to be a random variable with a mean of

A regression model involved 18 independent variables and 200 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

In a multiple regression analysis involving 10 independent variables and 81 observations,SST = 120 and SSE = 42.The coefficient of determination 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 multiple coefficient of determination is

Exhibit 15-1 In a regression model involving 44 observations,the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1.The coefficient of determination for the above model is

Exhibit 15-8 The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (X1)and their gender (X2)(0 if male and 1 if female). Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 15-8.The model

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The test statistic used to determine if there is a relationship among the variables equals

Exhibit 15-4 a. b. c. d. -Which equation describes the multiple regression equation?

Exhibit 15-1 In a regression model involving 44 observations,the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1.The computed F statistics for testing the significance of the above model is

A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares. a.Compute the coefficient of determination. b.At α\alphaα = 0.05,test to determine whether or not the model is significant.

The estimate of the multiple regression equation based on the sample data,which has the form of E(y)= Is

The adjusted multiple coefficient of determination is adjusted for

A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

In a multiple regression model,the error term ε\varepsilonε is assumed to be a random variable with a mean of

A regression model involved 18 independent variables and 200 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

In a multiple regression analysis involving 10 independent variables and 81 observations,SST = 120 and SSE = 42.The coefficient of determination 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

Exhibit 15-8 The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (X₁)and their gender (X₂)(0 if male and 1 if female). Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 15-8.The model

In a multiple regression model,the error term $\varepsilon$ is assumed to be a random variable with a mean of