Question 1

A linear regression model cannot be used to explore the possibility that a quadratic relationship may exist between two variables.

Accepted Answer

A) True 
 B)False

Question 2

Alan Bissell,a market analyst for City Sound Online Mart,is analyzing sales from heavy metal song downloads.Alan's dependent variable is annual heavy metal song download sales (in $1,000,000's),and his independent variables are website visitors (in 1,000's)and type of download format requested (0 = MP3,1 = other).Regression analysis of the data yielded the following tables.   Alan's model is ________________.

Accepted Answer

A)  y = 1.7 + 0.384212 x1 + 4.424638 x2 + 0.00166 x3 
B)  y = 1.7 + 0.04 x1 + 1.5666667 x2 
C)  y = 0.384212 + 0.014029 x1 + 0.20518 x2 
D)  y = 4.424638 + 2.851146 x1 - 7.63558 x2 
E)  y = 1.7 + 0.04 x1 - 1.5666667 x2 
A)  y = 1.7 + 0.384212 x1 + 4.424638 x2 + 0.00166 x3 
B)  y = 1.7 + 0.04 x1 + 1.5666667 x2 
C)  y = 0.384212 + 0.014029 x1 + 0.20518 x2 
D)  y = 4.424638 + 2.851146 x1 - 7.63558 x2 
E)  y = 1.7 + 0.04 x1 - 1.5666667 x2

Question 3

Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm. Abby's dependent variable is weekly household expenditures on groceries (in $'s),and her independent variables are annual household income (in $1,000's)and household neighborhood (0 = suburban,1 = rural). Regression analysis of the data yielded the following table.   For a suburban household with $90,000 annual income,Abby's model predicts weekly grocery expenditure of ________________.

Accepted Answer

A)  $156.19 
B)  $224.98 
C)  $444.62 
D)  $141.36 
E)  $175.86 
A)  $156.19 
B)  $224.98 
C)  $444.62 
D)  $141.36 
E)  $175.86

Question 4

Alan Bissell,a market analyst for City Sound Online Mart,is analyzing sales from heavy metal song downloads.Alan's dependent variable is annual heavy metal song download sales (in $1,000,000's),and his independent variables are website visitors (in 1,000's)and type of download format requested (0 = MP3,1 = other).Regression analysis of the data yielded the following tables.   For the same number of website visitors,what is difference between the predicted sales for MP3 versus 'other' heavy metal song downloads

Accepted Answer

A)  $1,566,666 higher sales for 'other' formats 
B)  the same sales for both formats 
C)  $1,566,666 lower sales for the 'other' format 
D)  $1,700,000 higher sales for the MP3 format 
E)  $ 1,700,000 lower sales for the 'other' format 
A)  $1,566,666 higher sales for 'other' formats 
B)  the same sales for both formats 
C)  $1,566,666 lower sales for the 'other' format 
D)  $1,700,000 higher sales for the MP3 format 
E)  $ 1,700,000 lower sales for the 'other' format

Question 5

A research project was conducted to study the effect of a chemical on undesired insects.The researcher uses 6 dose levels,and at each level exposes 250 insects to the chemical and proceeds to count the number of insects that die.The researcher uses a binary logistic regression model to estimate the probability of death as a function of dose. Shown below is Minitab output from a logistic regression.
Coefficients
Term Coef SE Coef 95% CI Z-Value P-Value VIF
Constant -2.644 0.156 (-2.950,-2.338) -16.94 0.000
Dose 0.6740 0.0391 (0.5973,0.7506) 17.23 0.000 1.00
Odd Ratios for Continuous Predictors
Odds Ratio 95% CI
Dose 1.9621 (1.8173,2.1184)
The estimated odds of death at a given level divided by the estimated odds of death at the following level equals = ______.

Accepted Answer

A)  1.9621 
B)  0.6470 
C)  0.5097 
D)  0.3271 
E)  0.3008 
A)  1.9621 
B)  0.6470 
C)  0.5097 
D)  0.3271 
E)  0.3008

Question 6

A research project was conducted to study the effect of a chemical on undesired insects.The researcher uses 6 dose levels,and at each level exposes 250 insects to the chemical and proceeds to count the number of insects that die.The researcher uses a binary logistic regression model to estimate the probability of death as a function of dose. Shown below is Minitab output from a logistic regression.
Coefficients
Term Coef SE Coef 95% CI Z-Value P-Value VIF
Constant -2.644 0.156 (-2.950,-2.338) -16.94 0.000
Dose 0.6740 0.0391 (0.5973,0.7506) 17.23 0.000 1.00
Odd Ratios for Continuous Predictors
Odds Ratio 95% CI
Dose 1.9621 (1.8173,2.1184)
The predicted probability that an insect will die when exposed to the first dose is ____.

Accepted Answer

A)  0.0814 
B)  0.1046 
C)  0.1153 
D)  0.1224 
E)  0.1395 
A)  0.0814 
B)  0.1046 
C)  0.1153 
D)  0.1224 
E)  0.1395

Question 7

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals potential multicollinearity with variables ___________.

Accepted Answer

A)  x1 and x2 
B)  x1 and x5 
C)  x3 and x4 
D)  x2 and x5 
E)  x3 and x5 
A)  x1 and x2 
B)  x1 and x5 
C)  x3 and x4 
D)  x2 and x5 
E)  x3 and x5

Question 8

Which of the following iterative search procedures for model-building in a multiple regression analysis adds variables to model as it proceeds,but does not reevaluate the contribution of previously entered variables?

Accepted Answer

A)  Backward elimination 
B)  Stepwise regression 
C)  Forward selection 
D)  All possible regressions 
E)  Forward elimination 
A)  Backward elimination 
B)  Stepwise regression 
C)  Forward selection 
D)  All possible regressions 
E)  Forward elimination

Question 9

Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is weekly household expenditures on groceries (in $'s),and her independent variables are annual household income (in $1,000's)and household neighborhood (0 = suburban,1 = rural).Regression analysis of the data yielded the following table.   For what annual income will a suburban household and a rural household have the same predicted weekly grocery spending?

Accepted Answer

A)  $120,082.9 
B)  $122,082.9 
C)  $124,082.9 
D)  The predicted weekly grocery spending of a rural household will always will be larger for a given annual income. 
E)  The predicted weekly grocery spending of a suburban household will always will be larger for a given annual income. 
A)  $120,082.9 
B)  $122,082.9 
C)  $124,082.9 
D)  The predicted weekly grocery spending of a rural household will always will be larger for a given annual income. 
E)  The predicted weekly grocery spending of a suburban household will always will be larger for a given annual income.

Question 10

A linear regression model can be used to explore the possibility that a quadratic relationship may exist between two variables by suitably transforming the independent variable.

Accepted Answer

A) True 
 B)False

Question 11

After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables.     For x1= 10,the predicted value of y is ____________.

Accepted Answer

A)  155.79 
B)  1.25 
C)  2.42 
D)  189.06 
E)  18.90 
A)  155.79 
B)  1.25 
C)  2.42 
D)  189.06 
E)  18.90

Question 12

A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the
The academic grade level for the child and the total costs spent per child per academic year.They
Performed a multiple regression analysis using total cost as the dependent variable and academic
Year (x1)as the independent variables.The multiple regression analysis produced the following
Tables.
    
Using  $\alpha$ = 0.01 to test the null hypothesis H0: $\beta$1 = $\beta$2 = 0,the critical F value is ____.

Accepted Answer

A)  5.42 
B)  5.49 
C)  7.60 
D)  3.35 
E)  2.49 
A)  5.42 
B)  5.49 
C)  7.60 
D)  3.35 
E)  2.49

Question 13

We may use logistic regression when the dependent variable is a dummy variable,coded 0 or 1.

Accepted Answer

A) True 
 B)False

Question 14

A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the
The academic grade level for the child and the total costs spent per child per academic year.They
Performed a multiple regression analysis using total cost as the dependent variable and academic
Year (x1)as the independent variables.The multiple regression analysis produced the following
Tables.
    For a child in grade 5 (x1= 2),the predicted value of y is ____________.

Accepted Answer

A)  707.91 
B)  1,020.26 
C)  781.99 
D)  840.06 
E)  1078.32 
A)  707.91 
B)  1,020.26 
C)  781.99 
D)  840.06 
E)  1078.32

Question 15

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable that will be entered into the regression model by the forward selection procedure will be ___________.

Accepted Answer

A)  x1 
B)  x2 
C)  x3 
D)  x4 
E)  x5 
A)  x1 
B)  x2 
C)  x3 
D)  x4 
E)  x5

Question 16

If a qualitative variable has 4 categories,how many dummy variables must be created and used in the regression analysis?

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
E)  7 
A)  3 
B)  4 
C)  5 
D)  6 
E)  7

Question 17

Suppose a company is interested in understanding the effect of age and gender on the likelihood a customer will purchase a new product.The data analyst intends to run a logistic regression on her data.Which of the following variable(s)will the analyst need to code as 0 or 1 prior to performing the logistic regression analysis?

Accepted Answer

A)  age and gender 
B)  age and purchase status 
C)  age 
D)  purchase status 
E)  gender and purchase status 
A)  age and gender 
B)  age and purchase status 
C)  age 
D)  purchase status 
E)  gender and purchase status

Question 18

A multiple regression analysis produced the following tables.     
Using  $\alpha$ = 0.10 to test the null hypothesis H0: $\beta$1 = 0,the critical t value is ____.

Accepted Answer

A)  ± 1.316 
B)  ± 1.314 
C)  ± 1.703 
D)  ± 1.780 
E)  ± 1.708 
A)  ± 1.316 
B)  ± 1.314 
C)  ± 1.703 
D)  ± 1.780 
E)  ± 1.708

Question 19

In multiple regression analysis,qualitative variables are sometimes referred to as ___.

Accepted Answer

A)  dummy variables 
B)  quantitative variables 
C)  dependent variables 
D)  performance variables 
E)  cardinal variables 
A)  dummy variables 
B)  quantitative variables 
C)  dependent variables 
D)  performance variables 
E)  cardinal variables

Question 20

A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the
The academic grade level for the child and the total costs spent per child per academic year.They
Performed a multiple regression analysis using total cost as the dependent variable and academic
Year (x1)as the independent variables.The multiple regression analysis produced the following
Tables.
    These results indicate that ____________.

Accepted Answer

A)  none of the predictor variables is significant at the 5% level 
B)  each predictor variable is significant at the 5% level 
C)  x1 is the only predictor variable significant at the 5% level 
D)  x12 is the only predictor variable significant at the 5% level 
E)  each predictor variable is insignificant at the 5% level 
A)  none of the predictor variables is significant at the 5% level 
B)  each predictor variable is significant at the 5% level 
C)  x1 is the only predictor variable significant at the 5% level 
D)  x12 is the only predictor variable significant at the 5% level 
E)  each predictor variable is insignificant at the 5% level

A linear regression model cannot be used to explore the possibility that a quadratic relationship may exist between two variables.

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals potential multicollinearity with variables ___________.

Which of the following iterative search procedures for model-building in a multiple regression analysis adds variables to model as it proceeds,but does not reevaluate the contribution of previously entered variables?

A linear regression model can be used to explore the possibility that a quadratic relationship may exist between two variables by suitably transforming the independent variable.

After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables. For x₁= 10,the predicted value of y is ____________.

We may use logistic regression when the dependent variable is a dummy variable,coded 0 or 1.

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable that will be entered into the regression model by the forward selection procedure will be ___________.

If a qualitative variable has 4 categories,how many dummy variables must be created and used in the regression analysis?

In multiple regression analysis,qualitative variables are sometimes referred to as ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

A Nalysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 14: Building Multiple Regression Models

A linear regression model cannot be used to explore the possibility that a quadratic relationship may exist between two variables.

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals potential multicollinearity with variables ___________.

Which of the following iterative search procedures for model-building in a multiple regression analysis adds variables to model as it proceeds,but does not reevaluate the contribution of previously entered variables?

A linear regression model can be used to explore the possibility that a quadratic relationship may exist between two variables by suitably transforming the independent variable.

After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables. For x1= 10,the predicted value of y is ____________.

We may use logistic regression when the dependent variable is a dummy variable,coded 0 or 1.

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable that will be entered into the regression model by the forward selection procedure will be ___________.

If a qualitative variable has 4 categories,how many dummy variables must be created and used in the regression analysis?

A multiple regression analysis produced the following tables. Using α\alphaα = 0.10 to test the null hypothesis H0: β\betaβ 1 = 0,the critical t value is ____.

In multiple regression analysis,qualitative variables are sometimes referred to as ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

A Nalysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables. For x₁= 10,the predicted value of y is ____________.