Question 1

For a multiple regression model, SST = 200 and SSE = 60.The multiple coefficient of determination is

Accepted Answer

A)  .25. 
B)  .30. 
C)  .80. 
D)  .70. 
A)  .25. 
B)  .30. 
C)  .80. 
D)  .70. D

Question 2

A term used to describe the case when the independent variables in a multiple regression model are correlated is

Accepted Answer

A)  regression. 
B)  correlation. 
C)  multicollinearity. 
D)  leverage. 
A)  regression. 
B)  correlation. 
C)  multicollinearity. 
D)  leverage. C

Question 3

In a multiple regression analysis, SSR = 1000 and SSE = 200.The F statistic for this model is

Accepted Answer

A)  5. 
B)  1200. 
C)  800. 
D)  Not enough information is provided to answer this question. 
A)  5. 
B)  1200. 
C)  800. 
D)  Not enough information is provided to answer this question. D

Question 4

In multiple regression analysis, a variable that cannot be measured in numerical terms is called a

Accepted Answer

A)  nonmeasurable random variable. 
B)  constant variable. 
C)  dependent variable. 
D)  categorical independent variable. 
A)  nonmeasurable random variable. 
B)  constant variable. 
C)  dependent variable. 
D)  categorical independent variable.

Question 5

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ​
​   = 30 + .7x1 + 3x2
​
Also provided are SST = 1200 and SSE = 384.At the 5% level, the model

Accepted Answer

A)  is significant. 
B)  is not significant. 
C)  would be significant if the sample size was larger than 30. 
D)  has significant individual parameters. 
A)  is significant. 
B)  is not significant. 
C)  would be significant if the sample size was larger than 30. 
D)  has significant individual parameters.

Question 6

In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: ​   = 20 + 5x1 - 4x2 + 8x3 + 8x4
​
For this model, SSR = 700 and SSE = 100.At the 5% level,

Accepted Answer

A)  there is no evidence that the model is significant. 
B)  it can be concluded that the model is significant. 
C)  the conclusion is that the slope of x1 is significant. 
D)  there is evidence that the slope of x2 is significant. 
A)  there is no evidence that the model is significant. 
B)  it can be concluded that the model is significant. 
C)  the conclusion is that the slope of x1 is significant. 
D)  there is evidence that the slope of x2 is significant.

Question 7

In a regression analysis involving 21 observations and 4 independent variables, the following information was obtained.
R2 = .80
s = 5.0
Based on the above information, fill in all the blanks in the following ANOVA table.
Hint: R2 =   , but also R2 = 1 -   .

Accepted Answer

Question 8

In a situation where the dependent variable can assume only one of the two possible discrete values,

Accepted Answer

A)  we must use multiple regression. 
B)  there can only be two independent variables. 
C)  logistic regression should be applied. 
D)  all the independent variables must have values of either zero or one. 
A)  we must use multiple regression. 
B)  there can only be two independent variables. 
C)  logistic regression should be applied. 
D)  all the independent variables must have values of either zero or one.

Question 9

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 10

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​   = 7 - 3x1 + 5x2​​
​
For this model, SSR = 3500, SSE = 1500, and the sample size is 18.The multiple coefficient of determination for this problem is​

Accepted Answer

A)  ​.4368. 
B)  .7000. 
C)  .3040. 
D)  .2289. 
A)  ​.4368. 
B)  .7000. 
C)  .3040. 
D)  .2289.

Question 11

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

Accepted Answer

A)  an interaction. 
B)  a constant variable. 
C)  a dummy variable. 
D)  a logit variable. 
A)  an interaction. 
B)  a constant variable. 
C)  a dummy variable. 
D)  a logit variable.

Question 12

In order to test for the significance of a regression model involving 9 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Accepted Answer

A)  9 and 121. 
B)  7 and 120. 
C)  9 and 111. 
D)  7 and 111. 
A)  9 and 121. 
B)  7 and 120. 
C)  9 and 111. 
D)  7 and 111.

Question 13

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained:   = 30 + 18x1 + 43x2 + 87x3  
For this model, SSR = 800 and SST = 1400.The multiple coefficient of determination for the above model is

Accepted Answer

A)  .57. 
B)  .43. 
C)  .14. 
D)  .86. 
A)  .57. 
B)  .43. 
C)  .14. 
D)  .86.

Question 14

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ​   = 30 + .7x1 + 3x2​
​
Also provided are SST = 1200 and SSE = 384.The test statistic for testing the significance of the model is

Accepted Answer

A)  .73. 
B)  1.47. 
C)  28.69. 
D)  5.22. 
A)  .73. 
B)  1.47. 
C)  28.69. 
D)  5.22.

Question 15

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.   ​ The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals

Accepted Answer

A)  3.41. 
B)  3.63. 
C)  5.74. 
D)  3.81. 
A)  3.41. 
B)  3.63. 
C)  5.74. 
D)  3.81.

Question 16

The mathematical equation which has the form of E(y) = β0 + β1x1 + β2x2 + ...+ βpxp relating the expected value of the dependent variable to the value of the independent variables is a(n)

Accepted Answer

A)  estimated multiple nonlinear regression equation. 
B)  multiple nonlinear regression model. 
C)  estimated multiple regression equation. 
D)  multiple regression equation. 
A)  estimated multiple nonlinear regression equation. 
B)  multiple nonlinear regression model. 
C)  estimated multiple regression equation. 
D)  multiple regression equation.

Question 17

A regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165
SSE = 60
​
The test statistic obtained from the information provided is

Accepted Answer

A)  2.110. 
B)  3.480. 
C)  5.455. 
D)  6.875. 
A)  2.110. 
B)  3.480. 
C)  5.455. 
D)  6.875.

Question 18

In order to test for the significance of a regression model involving 5 independent variables and 36 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Accepted Answer

A)  4 and 36. 
B)  3 and 35. 
C)  5 and 30. 
D)  5 and 31. 
A)  4 and 36. 
B)  3 and 35. 
C)  5 and 30. 
D)  5 and 31.

Question 19

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ​   = 30 + .7x1 + 3x2
​
Also provided are SST = 1200 and SSE = 384.The yearly income (in $) expected 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 20

If a categorical variable has k levels, the number of dummy variables required is​

Accepted Answer

A)  ​k - 1. 
B)  ​k. 
C)  ​k + 1. 
D)  ​2k. 
A)  ​k - 1. 
B)  ​k. 
C)  ​k + 1. 
D)  ​2k.

For a multiple regression model, SST = 200 and SSE = 60.The multiple coefficient of determination is

A term used to describe the case when the independent variables in a multiple regression model are correlated is

In a multiple regression analysis, SSR = 1000 and SSE = 200.The F statistic for this model is

In multiple regression analysis, a variable that cannot be measured in numerical terms is called a

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female). = 30 + .7x₁ + 3x₂ Also provided are SST = 1200 and SSE = 384.At the 5% level, the model

In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: = 20 + 5x₁ - 4x₂ + 8x₃ + 8x₄ For this model, SSR = 700 and SSE = 100.At the 5% level,

In a regression analysis involving 21 observations and 4 independent variables, the following information was obtained. R² = .80 s = 5.0 Based on the above information, fill in all the blanks in the following ANOVA table. Hint: R² = , but also R² = 1 - .

In a situation where the dependent variable can assume only one of the two possible discrete values,

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

In order to test for the significance of a regression model involving 9 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃ For this model, SSR = 800 and SST = 1400.The multiple coefficient of determination for the above model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals

The mathematical equation which has the form of E(y) = β₀ + β₁x₁ + β₂x₂ + ...+ β_pxp relating the expected value of the dependent variable to the value of the independent variables is a(n)

A regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165 SSE = 60 The test statistic obtained from the information provided is

In order to test for the significance of a regression model involving 5 independent variables and 36 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

If a categorical variable has k levels, the number of dummy variables required is

Data and Statistics

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Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

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Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

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Exam 15: Multiple Regression

For a multiple regression model, SST = 200 and SSE = 60.The multiple coefficient of determination is

A term used to describe the case when the independent variables in a multiple regression model are correlated is

In a multiple regression analysis, SSR = 1000 and SSE = 200.The F statistic for this model is

In multiple regression analysis, a variable that cannot be measured in numerical terms is called a

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). ​ ​ = 30 + .7x1 + 3x2 ​ Also provided are SST = 1200 and SSE = 384.At the 5% level, the model

In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: ​ = 20 + 5x1 - 4x2 + 8x3 + 8x4 ​ For this model, SSR = 700 and SSE = 100.At the 5% level,

In a regression analysis involving 21 observations and 4 independent variables, the following information was obtained. R2 = .80 s = 5.0 Based on the above information, fill in all the blanks in the following ANOVA table. Hint: R2 = , but also R2 = 1 - .

In a situation where the dependent variable can assume only one of the two possible discrete values,

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

In order to test for the significance of a regression model involving 9 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained: = 30 + 18x1 + 43x2 + 87x3 For this model, SSR = 800 and SST = 1400.The multiple coefficient of determination for the above model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals

The mathematical equation which has the form of E(y) = β0 + β1x1 + β2x2 + ...+ βpxp relating the expected value of the dependent variable to the value of the independent variables is a(n)

A regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165 SSE = 60 ​ The test statistic obtained from the information provided is

In order to test for the significance of a regression model involving 5 independent variables and 36 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

If a categorical variable has k levels, the number of dummy variables required is​

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, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Filters

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female). = 30 + .7x₁ + 3x₂ Also provided are SST = 1200 and SSE = 384.At the 5% level, the model

In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: = 20 + 5x₁ - 4x₂ + 8x₃ + 8x₄ For this model, SSR = 700 and SSE = 100.At the 5% level,

In a regression analysis involving 21 observations and 4 independent variables, the following information was obtained. R² = .80 s = 5.0 Based on the above information, fill in all the blanks in the following ANOVA table. Hint: R² = , but also R² = 1 - .

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃ For this model, SSR = 800 and SST = 1400.The multiple coefficient of determination for the above model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals

The mathematical equation which has the form of E(y) = β₀ + β₁x₁ + β₂x₂ + ...+ β_pxp relating the expected value of the dependent variable to the value of the independent variables is a(n)

A regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165 SSE = 60 The test statistic obtained from the information provided is

If a categorical variable has k levels, the number of dummy variables required is