Question 1

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 2

A variable that cannot be measured in terms of how much or how many but instead is assigned values to represent categories is called

Accepted Answer

A) an interaction 
B) a constant variable 
C) a category variable 
D) a qualitative variable 
A) an interaction 
B) a constant variable 
C) a category variable 
D) a qualitative variable

Question 3

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 4

In order to test for the significance of a regression model involving 8 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Accepted Answer

A) 8 and 121 
B) 7 and 120 
C) 8 and 112 
D) 7 and 112 
A) 8 and 121 
B) 7 and 120 
C) 8 and 112 
D) 7 and 112

Question 5

In a regression model involving more than one independent variable, which of the following tests must be used in order to determine if the relationship between the dependent variable and the set of independent variables is significant?

Accepted Answer

A) t test 
B) F test 
C) Either a t test or a chi-square test can be used. 
D) chi-square test 
A) t test 
B) F test 
C) Either a t test or a chi-square test can be used. 
D) chi-square test

Question 6

A regression model in which more than one independent variable is used to predict the dependent variable is called

Accepted Answer

A) a simple linear regression model 
B) a multiple regression model 
C) an independent model 
D) None of these alternatives is correct. 
A) a simple linear regression model 
B) a multiple regression model 
C) an independent model 
D) None of these alternatives is correct.

Question 7

Sherri Cola Company has developed a regression model relating its sales (Y in $10,000s) with four independent variables. The four independent variables are price per unit (PRICE, in dollars), competitor's price (COMPRICE, in dollars), advertising (ADV, in $1,000s) and type of container used (CONTAIN; 1 = Cans and 0 = Bottles). Part of the regression results is shown below. (Assume n = 25)   
a.If the manufacturer uses can containers, his price is $1.25, advertising $200,000, and his competitor's price is $1.50, what is your estimate of his sales? Give your answer in dollars.
b.Test to see if there is a significant relationship between sales and unit price. Let $\alpha$ = 0.05.
c.Test to see if there is a significant relationship between sales and advertising. Let $\alpha$ = 0.05.
d.Is the type of container a significant variable? Let $\alpha$ = 0.05.
e.Test to see if there is a significant relationship between sales and competitor's price. Let $\alpha$ = 0.05.

Accepted Answer

a.$3,228,490
b.t = -2.8; p-value is betw

Question 8

In a multiple regression analysis involving 5 independent variables and 30 observations, SSR = 360 and SSE = 40. The coefficient of determination is

Accepted Answer

A) 0.80 
B) 0.90 
C) 0.25 
D) 0.15 
A) 0.80 
B) 0.90 
C) 0.25 
D) 0.15

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 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 10

The following regression model has been proposed to predict sales at a computer store.   Predict sales (in dollars) for a store with the competitor's previous day's sale of $5,000, a population of 20,000 within 1 mile, and nine radio advertisements.

Accepted Answer

The answer of The following regression model has been proposed...

Question 11

In order to determine whether or not the sales volume of a company (Y in millions of dollars) is related to advertising expenditures (X1 in millions of dollars) and the number of salespeople (X2), data were gathered for 10 years. Part of the regression results is shown below.     
a. Use the above results and write the regression equation that can be used to predict sales.
b. Estimate the sales volume for an advertising expenditure of 3.5 million dollars and 45 salespeople. Give your answer in dollars.
c. At  = 0.05, test to determine if the fitted equation developed in Part a represents a significant relationship between the independent variables and the dependent variable.d. At  = 0.05, test to see if 1 is significantly different from zero.
e. Determine the multiple coefficient of determination.
f. Compute the adjusted coefficient of determination.

Accepted Answer

a. @#IMG-DLM& = 7.0174 + 8.6233X₁ + 0.0858X₂ b.$41,0

Question 12

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-

Question 13

In multiple regression analysis, the correlation among the independent variables is termed

Accepted Answer

A) homoscedasticity 
B) linearity 
C) multicollinearity 
D) adjusted coefficient of determination 
A) homoscedasticity 
B) linearity 
C) multicollinearity 
D) adjusted coefficient of determination

Question 14

In a regression model involving 46 observations, the following estimated regression equation was obtained.   For this model, SST = 3410 and SSE = 510. 
a.Compute the coefficient of determination.
b.Perform an F test and determine whether or not the regression model is significant.

Accepted Answer

a.0.85
b.F = 45.49;

Question 15

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 X2 indicates that if television advertising is increased by $1 (holding the unit price constant), sales are expected to

Accepted Answer

A) increase by $5 
B) increase by $12,000 
C) increase by $5,000 
D) decrease by $2,000 
A) increase by $5 
B) increase by $12,000 
C) increase by $5,000 
D) decrease by $2,000

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

A variable that cannot be measured in terms of how much or how many but instead is assigned values to represent categories is called

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

In order to test for the significance of a regression model involving 8 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a regression model involving more than one independent variable, which of the following tests must be used in order to determine if the relationship between the dependent variable and the set of independent variables is significant?

A regression model in which more than one independent variable is used to predict the dependent variable is called

In a multiple regression analysis involving 5 independent variables and 30 observations, SSR = 360 and SSE = 40. The coefficient of determination is

The following regression model has been proposed to predict sales at a computer store. Predict sales (in dollars) for a store with the competitor's previous day's sale of $5,000, a population of 20,000 within 1 mile, and nine radio advertisements.

In multiple regression analysis, the correlation among the independent variables is termed

In a regression model involving 46 observations, the following estimated regression equation was obtained. For this model, SST = 3410 and SSE = 510. a.Compute the coefficient of determination. b.Perform an F test and determine whether or not the regression model is significant.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 15: Multiple Regression

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

A variable that cannot be measured in terms of how much or how many but instead is assigned values to represent categories is called

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

In order to test for the significance of a regression model involving 8 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a regression model involving more than one independent variable, which of the following tests must be used in order to determine if the relationship between the dependent variable and the set of independent variables is significant?

A regression model in which more than one independent variable is used to predict the dependent variable is called

In a multiple regression analysis involving 5 independent variables and 30 observations, SSR = 360 and SSE = 40. The coefficient of determination is

The following regression model has been proposed to predict sales at a computer store. Predict sales (in dollars) for a store with the competitor's previous day's sale of $5,000, a population of 20,000 within 1 mile, and nine radio advertisements.

In multiple regression analysis, the correlation among the independent variables is termed

In a regression model involving 46 observations, the following estimated regression equation was obtained. For this model, SST = 3410 and SSE = 510. a.Compute the coefficient of determination. b.Perform an F test and determine whether or not the regression model is significant.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters