Question 1

The ratio of MSR to MSE yields

Accepted Answer

A)  SST. 
B)  the F statistic. 
C)  SSR. 
D)  the chi-square statistic. 
A)  SST. 
B)  the F statistic. 
C)  SSR. 
D)  the chi-square statistic. B

Question 2

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​   = 8 - 4x1 + 5x2
​
For this model, SSR = 3500, SSE = 1500, and the sample size is 20. To test for the significance of the model, the p-value is

Accepted Answer

A)  less than .01. 
B)  between .01 and .025. 
C)  between .025 and .05. 
D)  greater than .10. 
A)  less than .01. 
B)  between .01 and .025. 
C)  between .025 and .05. 
D)  greater than .10. A

Question 3

A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​   = 8 - 4x1 + 5x2
​
For this model, SSR = 3500, SSE = 1500, and the sample size is 20. To test for the significance of the model, the test statistic F is

Accepted Answer

A)  19.83. 
B)  88.23. 
C)  17. 
D)  2.33. 
A)  19.83. 
B)  88.23. 
C)  17. 
D)  2.33. A

Question 4

For a multiple regression model, SST = 1000 and SSR = 800. The multiple coefficient of determination is

Accepted Answer

A)  .20. 
B)  .30. 
C)  .80. 
D)  .70. 
A)  .20. 
B)  .30. 
C)  .80. 
D)  .70.

Question 5

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.   ​ The sum of squares due to error (SSE) equals

Accepted Answer

A)  373.31. 
B)  485.3. 
C)  4853. 
D)  6308.9. 
A)  373.31. 
B)  485.3. 
C)  4853. 
D)  6308.9.

Question 6

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. MSR for this model is

Accepted Answer

A)  200. 
B)  10. 
C)  1000. 
D)  43. 
A)  200. 
B)  10. 
C)  1000. 
D)  43.

Question 7

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.   ​ Carry out the test of significance for the parameter β1 at the 1% level. The null hypothesis should

Accepted Answer

A)  be rejected. 
B)  not be rejected. 
C)  be revised to test using F statistic. 
D)  be tested for β₃ instead. 
A)  be rejected. 
B)  not be rejected. 
C)  be revised to test using F statistic. 
D)  be tested for β₃ instead.

Question 8

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 9

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 10

In a multiple regression model involving 45 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 α = .05.

Accepted Answer

A)  2.6060 
B)  2.7581 
C)  28.387 
D)  1.9600 
A)  2.6060 
B)  2.7581 
C)  28.387 
D)  1.9600

Question 11

Even though a residual may be unusually large, the standardized residual rule might fail to identify the observation as being an outlier. This difficulty can be circumvented by using​

Accepted Answer

A)  categorical independent variables. 
B)  ​residual transformation. 
C)  ​studentized deleted residuals. 
D)  ​logistic regression. 
A)  categorical independent variables. 
B)  ​residual transformation. 
C)  ​studentized deleted residuals. 
D)  ​logistic regression.

Question 12

In a multiple regression analysis, SSR = 1000 and SSE = 200. The multiple coefficient of determination is

Accepted Answer

A)  1000. 
B)  200. 
C)  .83. 
D)  .17. 
A)  1000. 
B)  200. 
C)  .83. 
D)  .17.

Question 13

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. From the above linear function for multiple regression, it can be said that the expected yearly income of

Accepted Answer

A)  males is $3 more than females. 
B)  females is $3 more than males. 
C)  males is $3000 more than females. 
D)  females is $3000 more than males. 
A)  males is $3 more than females. 
B)  females is $3 more than males. 
C)  males is $3000 more than females. 
D)  females is $3000 more than males.

Question 14

A multiple regression model has the following estimated form:   = 7 + 2x1 + 9x2  
As x2 increases by 1 unit (holding x1 constant), y is expected to

Accepted Answer

A)  increase by 9 units. 
B)  decrease by 9 units. 
C)  increase by 2 units. 
D)  decrease by 2 units. 
A)  increase by 9 units. 
B)  decrease by 9 units. 
C)  increase by 2 units. 
D)  decrease by 2 units.

Question 15

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. The critical F value at α = .05 is (using the conservative value from the table)

Accepted Answer

A)  2.53. 
B)  2.69. 
C)  2.61. 
D)  2.99. 
A)  2.53. 
B)  2.69. 
C)  2.61. 
D)  2.99.

Question 16

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.

Question 17

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 18

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 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. 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 20

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 multiple coefficient of determination is

Accepted Answer

A)  .32. 
B)  .42. 
C)  .68. 
D)  .50. 
A)  .32. 
B)  .42. 
C)  .68. 
D)  .50.

The ratio of MSR to MSE yields

For a multiple regression model, SST = 1000 and SSR = 800. The multiple coefficient of determination is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The sum of squares due to error (SSE) equals

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. MSR for this model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Carry out the test of significance for the parameter β₁ at the 1% level. The null hypothesis should

In a multiple regression model involving 45 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 α = .05.

Even though a residual may be unusually large, the standardized residual rule might fail to identify the observation as being an outlier. This difficulty can be circumvented by using

In a multiple regression analysis, SSR = 1000 and SSE = 200. The multiple coefficient of determination is

A multiple regression model has the following estimated form: = 7 + 2x₁ + 9x₂ As x₂ increases by 1 unit (holding x₁ constant), y is expected to

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. The critical F value at α = .05 is (using the conservative value from the table)

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

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

The adjusted multiple coefficient of determination is adjusted for the

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

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 multiple coefficient of determination 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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 15: Multiple Regression

The ratio of MSR to MSE yields

For a multiple regression model, SST = 1000 and SSR = 800. The multiple coefficient of determination is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ The sum of squares due to error (SSE) equals

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. MSR for this model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ Carry out the test of significance for the parameter β1 at the 1% level. The null hypothesis should

In a multiple regression model involving 45 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 α = .05.

Even though a residual may be unusually large, the standardized residual rule might fail to identify the observation as being an outlier. This difficulty can be circumvented by using​

In a multiple regression analysis, SSR = 1000 and SSE = 200. The multiple coefficient of determination is

A multiple regression model has the following estimated form: = 7 + 2x1 + 9x2 As x2 increases by 1 unit (holding x1 constant), y is expected to

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. The critical F value at α = .05 is (using the conservative value from the table)

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

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

The adjusted multiple coefficient of determination is adjusted for the

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

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The sum of squares due to error (SSE) equals

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. MSR for this model is

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Carry out the test of significance for the parameter β₁ at the 1% level. The null hypothesis should

In a multiple regression model involving 45 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 α = .05.

Even though a residual may be unusually large, the standardized residual rule might fail to identify the observation as being an outlier. This difficulty can be circumvented by using

A multiple regression model has the following estimated form: = 7 + 2x₁ + 9x₂ As x₂ increases by 1 unit (holding x₁ constant), y is expected to

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. The critical F value at α = .05 is (using the conservative value from the table)

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