Question 1

The adjusted multiple coefficient of determination is adjusted for the

Accepted Answer

A)  number of dependent variables. 
B)  number of independent variables. 
C)  number of equations. 
D)  sample size. 
A)  number of dependent variables. 
B)  number of independent variables. 
C)  number of equations. 
D)  sample size.

Question 2

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)  an adjusted prediction model. 
A)  a simple linear regression model. 
B)  a multiple regression model. 
C)  an independent model. 
D)  an adjusted prediction model.

Question 3

In a multiple regression model, the values of the error term ε 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 4

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.If we want to test for the significance of the regression model, the critical value of F at the 5% level of significance is​

Accepted Answer

A)  ​3.68. 
B)  ​3.29. 
C)  ​3.24. 
D)  ​4.54. 
A)  ​3.68. 
B)  ​3.29. 
C)  ​3.24. 
D)  ​4.54.

Question 5

A multiple regression model has

Accepted Answer

A)  only one independent variable. 
B)  more than one dependent variable. 
C)  more than one independent variable. 
D)  at least two dependent variables. 
A)  only one independent variable. 
B)  more than one dependent variable. 
C)  more than one independent variable. 
D)  at least two dependent variables.

Question 6

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.If we want to test for the significance of the model, the critical value of F at α = .05 is

Accepted Answer

A)  3.33. 
B)  3.35. 
C)  3.34. 
D)  2.96. 
A)  3.33. 
B)  3.35. 
C)  3.34. 
D)  2.96.

Question 7

A regression model involved 5 independent variables and 136 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

Accepted Answer

A)  121 degrees of freedom. 
B)  135 degrees of freedom. 
C)  130 degrees of freedom. 
D)  4 degrees of freedom. 
A)  121 degrees of freedom. 
B)  135 degrees of freedom. 
C)  130 degrees of freedom. 
D)  4 degrees of freedom.

Question 8

In order to test for the significance of a regression model involving 10 independent variables and 260 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Accepted Answer

A)  10 and 260. 
B)  260 and 10. 
C)  9 and 245. 
D)  10 and 245. 
A)  10 and 260. 
B)  260 and 10. 
C)  9 and 245. 
D)  10 and 245.

Question 9

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

Accepted Answer

A)  adjusted correlation. 
B)  linearity. 
C)  multicollinearity. 
D)  adjusted coefficient of determination. 
A)  adjusted correlation. 
B)  linearity. 
C)  multicollinearity. 
D)  adjusted coefficient of determination.

Question 10

In a multiple regression model involving 60 observations, the following estimated regression equation was obtained:   = 30 + 18x1 + 43x2 + 87x3+ 90x4 ​
For this model, SSR = 800 and SST = 1400.Give degrees of freedom for the F critical value would be

Accepted Answer

A)  4, 55 
B)  4, 60 
C)  3, 59 
D)  3, 55 
A)  4, 55 
B)  4, 60 
C)  3, 59 
D)  3, 55

Question 11

In a multiple regression model, the variance of the error term ε is assumed to be

Accepted Answer

A)  the same for all values of the dependent variable. 
B)  zero. 
C)  the same for all values of the independent variable. 
D)  one. 
A)  the same for all values of the dependent variable. 
B)  zero. 
C)  the same for all values of the independent variable. 
D)  one.

Question 12

For a multiple regression model, SSR = 600 and SSE = 200.The multiple coefficient of determination is

Accepted Answer

A)  .333. 
B)  .275. 
C)  .30. 
D)  .75. 
A)  .333. 
B)  .275. 
C)  .30. 
D)  .75.

Question 13

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 100 and SSE = 40.The multiple coefficient of determination is

Accepted Answer

A)  .241. 
B)  .11. 
C)  .40. 
D)  .60. 
A)  .241. 
B)  .11. 
C)  .40. 
D)  .60.

Question 14

Given the following data, determine if the model is significant at 5%.

Accepted Answer

Yes, p-val

Question 15

The following estimated regression equation was developed relating average yearly income (y in $1000s) of 50 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female):   = 35 + .7x1 + 3x2  
Also provided are SST = 1400 and SSE = 400.The estimated income (in $) of a 40-year-old male is

Accepted Answer

A)  $63,000. 
B)  $21. 
C)  $120,000. 
D)  $63. 
A)  $63,000. 
B)  $21. 
C)  $120,000. 
D)  $63.

Question 16

The equation which has the form of E(y) =   = b0 + b1x1 + b2x2 + ...+ bpxp 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 measure of goodness of fit for the estimated regression equation is the

Accepted Answer

A)  multiple coefficient of determination. 
B)  multicollinearity. 
C)  mean square due to regression. 
D)  studentized residual. 
A)  multiple coefficient of determination. 
B)  multicollinearity. 
C)  mean square due to regression. 
D)  studentized residual.

Question 18

The numerical value of the coefficient of determination.

Accepted Answer

A)  is always larger than the coefficient of correlation. 
B)  is always smaller than the coefficient of correlation. 
C)  is negative if the coefficient of correlation is negative. 
D)  can be larger or smaller than the coefficient of correlation. 
A)  is always larger than the coefficient of correlation. 
B)  is always smaller than the coefficient of correlation. 
C)  is negative if the coefficient of correlation is negative. 
D)  can be larger or smaller than the coefficient of correlation.

Question 19

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.   ​ Carry out the test to determine if there is a relationship among the variables at the 1% level.The null hypothesis should

Accepted Answer

A)  be rejected. 
B)  not be rejected. 
C)  be revised to test for multicollinearity. 
D)  test for individual significance instead. 
A)  be rejected. 
B)  not be rejected. 
C)  be revised to test for multicollinearity. 
D)  test for individual significance instead.

Question 20

A multiple regression model has the estimated form ​   = 7 + 3x1 + 9x2
​
As x1 increases by 1 unit (holding x2 constant), y is expected to

Accepted Answer

A)  increase by 9 units. 
B)  decrease by 9 units. 
C)  increase by 3 units. 
D)  decrease by 3 units. 
A)  increase by 9 units. 
B)  decrease by 9 units. 
C)  increase by 3 units. 
D)  decrease by 3 units.

The adjusted multiple coefficient of determination is adjusted for the

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

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

A multiple regression model has

A regression model involved 5 independent variables and 136 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

In order to test for the significance of a regression model involving 10 independent variables and 260 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

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

In a multiple regression model involving 60 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃+ 90x₄ For this model, SSR = 800 and SST = 1400.Give degrees of freedom for the F critical value would be

In a multiple regression model, the variance of the error term ε is assumed to be

For a multiple regression model, SSR = 600 and SSE = 200.The multiple coefficient of determination is

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 100 and SSE = 40.The multiple coefficient of determination is

Given the following data, determine if the model is significant at 5%.

The equation which has the form of E(y) = = b₀ + b₁x₁ + b₂x₂ + ...+ b_px_p is a(n)

A measure of goodness of fit for the estimated regression equation is the

The numerical value of the coefficient of determination.

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Carry out the test to determine if there is a relationship among the variables at the 1% level.The null hypothesis should

A multiple regression model has the estimated form = 7 + 3x₁ + 9x₂ As x₁ increases by 1 unit (holding x₂ constant), y is expected to

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

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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

Experimental Design and Analysis of Variance

Simple Linear Regression

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Exam 15: Multiple Regression

The adjusted multiple coefficient of determination is adjusted for the

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

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

A multiple regression model has

A regression model involved 5 independent variables and 136 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

In order to test for the significance of a regression model involving 10 independent variables and 260 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

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

In a multiple regression model involving 60 observations, the following estimated regression equation was obtained: = 30 + 18x1 + 43x2 + 87x3+ 90x4 ​ For this model, SSR = 800 and SST = 1400.Give degrees of freedom for the F critical value would be

In a multiple regression model, the variance of the error term ε is assumed to be

For a multiple regression model, SSR = 600 and SSE = 200.The multiple coefficient of determination is

In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 100 and SSE = 40.The multiple coefficient of determination is

Given the following data, determine if the model is significant at 5%.

The equation which has the form of E(y) = = b0 + b1x1 + b2x2 + ...+ bpxp is a(n)

A measure of goodness of fit for the estimated regression equation is the

The numerical value of the coefficient of determination.

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ Carry out the test to determine if there is a relationship among the variables at the 1% level.The null hypothesis should

A multiple regression model has the estimated form ​ = 7 + 3x1 + 9x2 ​ As x1 increases by 1 unit (holding x2 constant), y is expected to

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

In a multiple regression model involving 60 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃+ 90x₄ For this model, SSR = 800 and SST = 1400.Give degrees of freedom for the F critical value would be

The equation which has the form of E(y) = = b₀ + b₁x₁ + b₂x₂ + ...+ b_px_p is a(n)

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Carry out the test to determine if there is a relationship among the variables at the 1% level.The null hypothesis should

A multiple regression model has the estimated form = 7 + 3x₁ + 9x₂ As x₁ increases by 1 unit (holding x₂ constant), y is expected to