Question 1

A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.

Accepted Answer

A) y = 616.6849 + 3.33833 x1 + 1.780075 x2 
B) y = 154.5535 - 1.43058 x1 + 5.30407 x2 
C) y = 616.6849 - 3.33833 x1 - 1.780075 x2 
D) y = 154.5535 + 2.333548 x1 + 0.335605 x2 
E) y = 616.6849 - 3.33833 x1 + 1.780075 x2 
A) y = 616.6849 + 3.33833 x1 + 1.780075 x2 
B) y = 154.5535 - 1.43058 x1 + 5.30407 x2 
C) y = 616.6849 - 3.33833 x1 - 1.780075 x2 
D) y = 154.5535 + 2.333548 x1 + 0.335605 x2 
E) y = 616.6849 - 3.33833 x1 + 1.780075 x2

Question 2

Use a computer to find and interpret multiple regression outputs.

Accepted Answer

Residuals,standard error of the estimate

Question 3

In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the values of x1 and x2 are both increased by one unit,the value of y will increase by (b1+ b2)units.

Accepted Answer

A) True 
 B)False

Question 4

The standard error of the estimate of a multiple regression model is computed by taking the square root of the mean squares of error.

Accepted Answer

A) True 
 B)False

Question 5

A multiple regression analysis produced the following tables:     These results indicate that ___.

Accepted Answer

A) none of the predictor variables are 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) x2 is the only predictor variable significant at the 5% level 
E) the intercept is not significant at 5% level 
A) none of the predictor variables are 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) x2 is the only predictor variable significant at the 5% level 
E) the intercept is not significant at 5% level

Question 6

The following ANOVA table is from a multiple regression analysis:   The sample size for the analysis is ___.

Accepted Answer

A) 30 
B) 25 
C) 10 
D) 5 
E) 31 
A) 30 
B) 25 
C) 10 
D) 5 
E) 31

Question 7

A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.

Accepted Answer

A) 0.0592 
B) 0.9138 
C) 0.1149 
D) 0.9559 
E) 1.0000 
A) 0.0592 
B) 0.9138 
C) 0.1149 
D) 0.9559 
E) 1.0000

Question 8

The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of error degrees of freedom (dferr).

Accepted Answer

A) True 
 B)False

Question 9

Explain how,by extending the simple regression model to a multiple regression model with two independent variables,it is possible to determine the multiple regression equation for any number of unknowns.

Accepted Answer

Multiple regression analysis is a statis

Question 10

The standard error of the estimate of a multiple regression model is essentially the standard deviation of the residuals for the regression model.

Accepted Answer

A) True 
 B)False

Question 11

A multiple regression analysis produced the following tables:     For x1= 60 and x2 = 200,the predicted value of y is ___.

Accepted Answer

A) 1,173.00 
B) 772.40 
C) 460.97 
D) 615.13 
E) 987.78 
A) 1,173.00 
B) 772.40 
C) 460.97 
D) 615.13 
E) 987.78

Question 12

In a multiple regression analysis with N observations and k independent variables,the degrees of freedom for the residual error is given by (N - k - 1).

Accepted Answer

A) True 
 B)False

Question 13

A 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) 5.99 
B) 5.70 
C) 1.96 
D) 4.84 
E) 6.70 
A) 5.99 
B) 5.70 
C) 1.96 
D) 4.84 
E) 6.70

Question 14

The F test is used to determine whether the overall regression model is significant.

Accepted Answer

A) True 
 B)False

Question 15

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The "central heating" variable in this model is ___.

Accepted Answer

A) a response variable 
B) an independent variable 
C) a quantitative variable 
D) a dependent variable 
E) a constant 
A) a response variable 
B) an independent variable 
C) a quantitative variable 
D) a dependent variable 
E) a constant

Question 16

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear).The "plant technology" variable in this model is ___.

Accepted Answer

A) a qualitative variable 
B) a dependent variable 
C) a response variable 
D) an indicator variable 
E) a quantitative variable 
A) a qualitative variable 
B) a dependent variable 
C) a response variable 
D) an indicator variable 
E) a quantitative variable

Question 17

The following ANOVA table is from a multiple regression analysis:   The SSE value is ___.

Accepted Answer

A) 20 
B) 400 
C) 2000 
D) 500 
E) 2500 
A) 20 
B) 400 
C) 2000 
D) 500 
E) 2500

Question 18

In the multiple regression model y = $\beta$ 0 + $\beta$ 1x1 + $\beta$ 2x2 + $\beta$ 3x3 + $\varepsilon$,the $\beta$ coefficients of the x variables are called partial regression coefficients.

Accepted Answer

A) True 
 B)False

Question 19

The following ANOVA table is from a multiple regression analysis:   The MSR value is ___.

Accepted Answer

A) 20 
B) 400 
C) 2000 
D) 500 
E) 30 
A) 20 
B) 400 
C) 2000 
D) 500 
E) 30

Question 20

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The response variable in this model is ___.

Accepted Answer

A) heated area 
B) number of bedrooms 
C) market value 
D) central heating 
E) residential houses 
A) heated area 
B) number of bedrooms 
C) market value 
D) central heating 
E) residential houses

A multiple regression analysis produced the following tables: The regression equation for this analysis is ___.

Use a computer to find and interpret multiple regression outputs.

In the estimated multiple regression model y = b₀ + b₁x₁ + b₂x₂,if the values of x₁ and x₂ are both increased by one unit,the value of y will increase by (b₁+ b₂)units.

The standard error of the estimate of a multiple regression model is computed by taking the square root of the mean squares of error.

A multiple regression analysis produced the following tables: These results indicate that ___.

The following ANOVA table is from a multiple regression analysis: The sample size for the analysis is ___.

A multiple regression analysis produced the following tables: The coefficient of multiple determination is ___.

The mean square error (MS_err)is calculated by dividing the sum of squares error (SS_err)by the number of error degrees of freedom (df_err).

Explain how,by extending the simple regression model to a multiple regression model with two independent variables,it is possible to determine the multiple regression equation for any number of unknowns.

The standard error of the estimate of a multiple regression model is essentially the standard deviation of the residuals for the regression model.

A multiple regression analysis produced the following tables: For x₁= 60 and x₂ = 200,the predicted value of y is ___.

In a multiple regression analysis with N observations and k independent variables,the degrees of freedom for the residual error is given by (N - k - 1).

The F test is used to determine whether the overall regression model is significant.

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The "central heating" variable in this model is ___.

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear).The "plant technology" variable in this model is ___.

The following ANOVA table is from a multiple regression analysis: The SSE value is ___.

In the multiple regression model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ ,the $\beta$ coefficients of the x variables are called partial regression coefficients.

The following ANOVA table is from a multiple regression analysis: The MSR value is ___.

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The response variable in this model is ___.

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

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 13: Multiple Regression Analysis

A multiple regression analysis produced the following tables: The regression equation for this analysis is ___.

Use a computer to find and interpret multiple regression outputs.

In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the values of x1 and x2 are both increased by one unit,the value of y will increase by (b1+ b2)units.

The standard error of the estimate of a multiple regression model is computed by taking the square root of the mean squares of error.

A multiple regression analysis produced the following tables: These results indicate that ___.

The following ANOVA table is from a multiple regression analysis: The sample size for the analysis is ___.

A multiple regression analysis produced the following tables: The coefficient of multiple determination is ___.

The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of error degrees of freedom (dferr).

Explain how,by extending the simple regression model to a multiple regression model with two independent variables,it is possible to determine the multiple regression equation for any number of unknowns.

The standard error of the estimate of a multiple regression model is essentially the standard deviation of the residuals for the regression model.

A multiple regression analysis produced the following tables: For x1= 60 and x2 = 200,the predicted value of y is ___.

In a multiple regression analysis with N observations and k independent variables,the degrees of freedom for the residual error is given by (N - k - 1).

A multiple regression analysis produced the following tables: Using α\alphaα = 0.01 to test the null hypothesis H0: β\betaβ 1 = β\betaβ 2 = 0,the critical F value is ___.

The F test is used to determine whether the overall regression model is significant.

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The "central heating" variable in this model is ___.

The following ANOVA table is from a multiple regression analysis: The SSE value is ___.

In the multiple regression model y = β\betaβ 0 + β\betaβ 1x1 + β\betaβ 2x2 + β\betaβ 3x3 + ε\varepsilonε ,the β\betaβ coefficients of the x variables are called partial regression coefficients.

The following ANOVA table is from a multiple regression analysis: The MSR value is ___.

A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area,number of bedrooms,number of bathrooms,age of the house,and central heating (yes,no).The response variable in this model is ___.

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

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

In the estimated multiple regression model y = b₀ + b₁x₁ + b₂x₂,if the values of x₁ and x₂ are both increased by one unit,the value of y will increase by (b₁+ b₂)units.

The mean square error (MS_err)is calculated by dividing the sum of squares error (SS_err)by the number of error degrees of freedom (df_err).

A multiple regression analysis produced the following tables: For x₁= 60 and x₂ = 200,the predicted value of y is ___.

In the multiple regression model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ ,the $\beta$ coefficients of the x variables are called partial regression coefficients.