Deck 13: Multiple Regression Analysis

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سؤال
The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of observations in the data set (N).
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سؤال
The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of error degrees of freedom (dferr).
سؤال
In a multiple regression model the partial regression coefficient of an independent variable represents the increase in the y variable when that independent variable is increased by one unit if the values of all other independent variables are held constant.
سؤال
The model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon is a first-order regression model.
سؤال
Understand the limitations and pitfalls of multiple regression analysis.
سؤال
In the multiple regression model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon ,the β\beta coefficients of the x variables are called partial regression coefficients.
سؤال
The model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + ε\varepsilon is a second-order regression model.
سؤال
Examine significance tests of both the overall regression model and the regression coefficients.
سؤال
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.
سؤال
Regression analysis with one dependent variable and two or more independent variables is called multiple regression.
سؤال
The F value that is used to test for the overall significance a multiple regression model is calculated by dividing the mean square regression (MSreg)by the mean square error (MSerr).
سؤال
In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the value of x1 is increased by 2 and the value of x2 is increased by 3 simultaneously,the value of y will increase by (2b1+ 3b2)units.
سؤال
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.
سؤال
In the model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon ,y is the independent variable.
سؤال
Calculate the residual,standard error of the estimate,coefficient of multiple determination,and adjusted coefficient of multiple determination of a regression model.
سؤال
The F value that is used to test for the overall significance a multiple regression model is calculated by dividing the sum of mean squares regression (SSreg)by the sum of squares error (SSerr).
سؤال
Multiple t tests are used to determine whether the overall regression model is significant.
سؤال
In the model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon , ε\varepsilon is a constant.
سؤال
Use a computer to find and interpret multiple regression outputs.
سؤال
The F test is used to determine whether the overall regression model is significant.
سؤال
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).
سؤال
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 response variable in this model is ___.

A)plant manager compensation
B)plant capacity
C)number of employees
D)plant technology
E)nuclear
سؤال
The multiple regression formulas used to estimate the regression coefficients are designed to ___.

A)minimize the total sum of squares (SST)
B)minimize the sum of squares of error (SSE)
C)maximize the standard error of the estimate
D)maximize the p value for the calculated F value
E)minimize the mean error
سؤال
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "neighbourhood" variable in this model is ___.

A)an independent variable
B)a response variable
C)a quantitative variable
D)a dependent variable
E)a constant
سؤال
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).In this model,"batch size" is ___.

A)a response variable
B)an indicator variable
C)a dependent variable
D)a qualitative variable
E)an independent variable
سؤال
The standard error of the estimate of a multiple regression model is essentially the standard deviation of the residuals for the regression model.
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)19 B)17 C)34 D)15 E)18 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)19 B)17 C)34 D)15 E)18 <div style=padding-top: 35px> The sample size for this analysis is ___.

A)19
B)17
C)34
D)15
E)18
سؤال
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 ___.

A)a qualitative variable
B)a dependent variable
C)a response variable
D)an indicator variable
E)a quantitative variable
سؤال
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).In this model,"shift" is ___.

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

A)a response variable
B)a dependent variable
C)a quantitative variable
D)an independent variable
E)a constant
سؤال
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)a response variable
B)a quantitative variable
C)a dependent variable
D)a qualitative variable
E)an independent variable
سؤال
The standard error of the estimate of a multiple regression model is computed by taking the square root of the mean squares of error.
سؤال
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).The response variable in this model is ___.

A)batch size
B)production shift
C)production plant
D)total cost
E)variable cost
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 616.6849 + 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> B)y = 154.5535 - 1.43058 x<sub>1</sub> + 5.30407 x<sub>2</sub> C)y = 616.6849 - 3.33833 x<sub>1</sub> - 1.780075 x<sub>2</sub> D)y = 154.5535 + 2.333548 x<sub>1</sub> + 0.335605 x<sub>2</sub> E)y = 616.6849 - 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 616.6849 + 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> B)y = 154.5535 - 1.43058 x<sub>1</sub> + 5.30407 x<sub>2</sub> C)y = 616.6849 - 3.33833 x<sub>1</sub> - 1.780075 x<sub>2</sub> D)y = 154.5535 + 2.333548 x<sub>1</sub> + 0.335605 x<sub>2</sub> E)y = 616.6849 - 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> <div style=padding-top: 35px> The regression equation for this analysis is ___.

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
سؤال
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).
سؤال
In a multiple regression model,the proportion of the variation of the dependent variable,y,accounted for the independent variables in the regression model is given by the coefficient of multiple correlation.
سؤال
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "income" variable in this model is ___.

A)an indicator variable
B)a response variable
C)a qualitative variable
D)a dependent variable
E)an independent variable
سؤال
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 ___.

A)heated area
B)number of bedrooms
C)market value
D)central heating
E)residential houses
سؤال
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)a response variable
B)an independent variable
C)a quantitative variable
D)a dependent variable
E)a constant
سؤال
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The response variable in this model is ___.

A)family size
B)expenditures on groceries
C)household income
D)suburban
E)household neighbourhood
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)8.68 B)6.36 C)8.40 D)6.11 E)3.36 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)8.68 B)6.36 C)8.40 D)6.11 E)3.36 <div style=padding-top: 35px>  Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)8.68
B)6.36
C)8.40
D)6.11
E)3.36
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The R<sup>2</sup> value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)0.30 <div style=padding-top: 35px> The R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)0.30
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)3.74 B)3.89 C)4.75 D)4.60 E)2.74 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)3.74 B)3.89 C)4.75 D)4.60 E)2.74 <div style=padding-top: 35px>
Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)3.74
B)3.89
C)4.75
D)4.60
E)2.74
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is significant at the 5% level D)x<sub>2</sub> is significant at the 5% level E)the intercept is not significant at 5% level <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is significant at the 5% level D)x<sub>2</sub> is significant at the 5% level E)the intercept is not significant at 5% level <div style=padding-top: 35px> These results indicate that ___.

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 significant at the 5% level
D)x2 is significant at the 5% level
E)the intercept is not significant at 5% level
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The number of degrees of freedom for regression is ___.</strong> A)1 B)4 C)34 D)30 E)35 <div style=padding-top: 35px> The number of degrees of freedom for regression is ___.

A)1
B)4
C)34
D)30
E)35
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The MSR value is ___.</strong> A)700.00 B)350.00 C)233.33 D)175.00 E)275.00 <div style=padding-top: 35px> The MSR value is ___.

A)700.00
B)350.00
C)233.33
D)175.00
E)275.00
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The adjusted R<sup>2</sup> value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)0.30 <div style=padding-top: 35px> The adjusted R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)0.30
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The value of the standard error of the estimate s<sub>e</sub> is ___.</strong> A)13.23 B)3.16 C)17.32 D)26.46 E)10.00 <div style=padding-top: 35px> The value of the standard error of the estimate se is ___.

A)13.23
B)3.16
C)17.32
D)26.46
E)10.00
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)1,173.00 B)772.40 C)460.97 D)615.13 E)987.78 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)1,173.00 B)772.40 C)460.97 D)615.13 E)987.78 <div style=padding-top: 35px> For x1= 60 and x2 = 200,the predicted value of y is ___.

A)1,173.00
B)772.40
C)460.97
D)615.13
E)987.78
سؤال
In regression analysis,outliers may be identified by examining the ___.

A)coefficient of determination
B)coefficient of correlation
C)p values for the partial coefficients
D)residuals
E)R-squared value
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> = 0,the critical t value is ___.</strong> A)± 1.753 B)± 2.110 C)± 2.131 D)± 1.740 E)± 2.500 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> = 0,the critical t value is ___.</strong> A)± 1.753 B)± 2.110 C)± 2.131 D)± 1.740 E)± 2.500 <div style=padding-top: 35px>
Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = 0,the critical t value is ___.

A)± 1.753
B)± 2.110
C)± 2.131
D)± 1.740
E)± 2.500
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The sample size for the analysis is ___.</strong> A)30 B)25 C)10 D)5 E)31 <div style=padding-top: 35px> The sample size for the analysis is ___.

A)30
B)25
C)10
D)5
E)31
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The number of degrees of freedom for error is ___.</strong> A)1 B)4 C)34 D)30 E)35 <div style=padding-top: 35px> The number of degrees of freedom for error is ___.

A)1
B)4
C)34
D)30
E)35
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at the 5% level <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at the 5% level <div style=padding-top: 35px> These results indicate that ___.

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 the 5% level
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.10 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)±1.345 B)±1.356 C)±1.761 D)±2.782 E)±1.782 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.10 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)±1.345 B)±1.356 C)±1.761 D)±2.782 E)±1.782 <div style=padding-top: 35px>
Using α\alpha = 0.10 to test the null hypothesis H0: β\beta 2 = 0,the critical t value is ___.

A)±1.345
B)±1.356
C)±1.761
D)±2.782
E)±1.782
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The observed F value is ___.</strong> A)17.50 B)2.33 C)0.70 D)0.43 E)0.50 <div style=padding-top: 35px> The observed F value is ___.

A)17.50
B)2.33
C)0.70
D)0.43
E)0.50
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)12 B)15 C)14 D)28 E)24 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)12 B)15 C)14 D)28 E)24 <div style=padding-top: 35px> The sample size for this analysis is ___.

A)12
B)15
C)14
D)28
E)24
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 752.0833 + 11.87375 x<sub>1</sub> + 1.908183 x<sub>2</sub> B)y = 752.0833 + 336.3158 x<sub>1</sub> + 2.236241 x<sub>2</sub> C)y = 336.3158 + 5.32047 x<sub>1</sub>+ 0.662742 x<sub>2</sub><sub>2</sub> D)y = 2.236241 + 2.231711 x<sub>1</sub> + 2.879226 x<sub>2</sub> E)y = 2.236241 + 2.231711 x<sub>1</sub> - 2.879226 x<sub>2</sub> <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 752.0833 + 11.87375 x<sub>1</sub> + 1.908183 x<sub>2</sub> B)y = 752.0833 + 336.3158 x<sub>1</sub> + 2.236241 x<sub>2</sub> C)y = 336.3158 + 5.32047 x<sub>1</sub>+ 0.662742 x<sub>2</sub><sub>2</sub> D)y = 2.236241 + 2.231711 x<sub>1</sub> + 2.879226 x<sub>2</sub> E)y = 2.236241 + 2.231711 x<sub>1</sub> - 2.879226 x<sub>2</sub> <div style=padding-top: 35px> The regression equation for this analysis is ___.

A)y = 752.0833 + 11.87375 x1 + 1.908183 x2
B)y = 752.0833 + 336.3158 x1 + 2.236241 x2
C)y = 336.3158 + 5.32047 x1+ 0.662742 x22
D)y = 2.236241 + 2.231711 x1 + 2.879226 x2
E)y = 2.236241 + 2.231711 x1 - 2.879226 x2
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)658.24 B)711.98 C)788.09 D)1,846.14 E)2,546.98 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)658.24 B)711.98 C)788.09 D)1,846.14 E)2,546.98 <div style=padding-top: 35px> For x1= 60 and x2 = 200,the predicted value of y is ___.

A)658.24
B)711.98
C)788.09
D)1,846.14
E)2,546.98
سؤال
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The MSE value is ___.</strong> A)8.57 B)8.82 C)10.00 D)75.00 E)20.00 <div style=padding-top: 35px> The MSE value is ___.

A)8.57
B)8.82
C)10.00
D)75.00
E)20.00
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The value of the standard error of the estimate s<sub>e</sub> is ___.</strong> A)20.00 B)44.72 C)4.47 D)22.36 E)12.47 <div style=padding-top: 35px> The value of the standard error of the estimate se is ___.

A)20.00
B)44.72
C)4.47
D)22.36
E)12.47
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)0.5000 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)0.5000 <div style=padding-top: 35px> The coefficient of multiple determination is ___.

A)0.2079
B)0.0860
C)0.5440
D)0.7921
E)0.5000
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.0592 B)0.9138 C)0.1149 D)0.9559 E)1.0000 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.0592 B)0.9138 C)0.1149 D)0.9559 E)1.0000 <div style=padding-top: 35px> The coefficient of multiple determination is ___.

A)0.0592
B)0.9138
C)0.1149
D)0.9559
E)1.0000
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)1.0000 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)1.0000 <div style=padding-top: 35px> The adjusted R2 is ___.

A)0.2079
B)0.0860
C)0.5440
D)0.7921
E)1.0000
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)all variables are significant at 5% level <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)all variables are significant at 5% level <div style=padding-top: 35px> These results indicate that ___.

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)all variables are significant at 5% level
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The number of independent variables in the analysis is ___.</strong> A)30 B)25 C)1 D)5 E)2 <div style=padding-top: 35px> The number of independent variables in the analysis is ___.

A)30
B)25
C)1
D)5
E)2
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)17 B)13 C)16 D)11 E)15 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)17 B)13 C)16 D)11 E)15 <div style=padding-top: 35px> The sample size for this analysis is ___.

A)17
B)13
C)16
D)11
E)15
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The SSE value is ___.</strong> A)20 B)400 C)2000 D)500 E)2500 <div style=padding-top: 35px> The SSE value is ___.

A)20
B)400
C)2000
D)500
E)2500
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)± 1.174 B)± 2.093 C)± 2.131 D)± 4.012 E)± 3.012 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)± 1.174 B)± 2.093 C)± 2.131 D)± 4.012 E)± 3.012 <div style=padding-top: 35px>
Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 2 = 0,the critical t value is ___.

A)± 1.174
B)± 2.093
C)± 2.131
D)± 4.012
E)± 3.012
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 40 and x<sub>2</sub> = 90,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)3,719.39 E)1,565.75 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 40 and x<sub>2</sub> = 90,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)3,719.39 E)1,565.75 <div style=padding-top: 35px> For x1= 40 and x2 = 90,the predicted value of y is ___.

A)753.77
B)1,173.00
C)1,355.26
D)3,719.39
E)1,565.75
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 302689 + 1153309 x<sub>1</sub> + 1455998 x<sub>2</sub> B)y = -139.609 + 24.24619 x<sub>1</sub> + 32.10171 x<sub>2</sub> C)y = 2548.989 + 22.25267 x<sub>1</sub> + 17.44559 x<sub>2</sub> D)y = -0.05477 + 1.089586 x<sub>1</sub><sub> </sub>+ 1.840105 x<sub>2</sub> E)y = 0.05477 + 1.089586 x<sub>1</sub> + 1.840105 x<sub>2</sub> <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 302689 + 1153309 x<sub>1</sub> + 1455998 x<sub>2</sub> B)y = -139.609 + 24.24619 x<sub>1</sub> + 32.10171 x<sub>2</sub> C)y = 2548.989 + 22.25267 x<sub>1</sub> + 17.44559 x<sub>2</sub> D)y = -0.05477 + 1.089586 x<sub>1</sub><sub> </sub>+ 1.840105 x<sub>2</sub> E)y = 0.05477 + 1.089586 x<sub>1</sub> + 1.840105 x<sub>2</sub> <div style=padding-top: 35px> The regression equation for this analysis is ___.

A)y = 302689 + 1153309 x1 + 1455998 x2
B)y = -139.609 + 24.24619 x1 + 32.10171 x2
C)y = 2548.989 + 22.25267 x1 + 17.44559 x2
D)y = -0.05477 + 1.089586 x1 + 1.840105 x2
E)y = 0.05477 + 1.089586 x1 + 1.840105 x2
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at 5% level <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at 5% level <div style=padding-top: 35px> These results indicate that ___.

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
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The MSR value is ___.</strong> A)20 B)400 C)2000 D)500 E)30 <div style=padding-top: 35px> The MSR value is ___.

A)20
B)400
C)2000
D)500
E)30
سؤال
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)5.99 B)5.70 C)1.96 D)4.84 E)6.70 <div style=padding-top: 35px>   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)5.99 B)5.70 C)1.96 D)4.84 E)6.70 <div style=padding-top: 35px>
Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)5.99
B)5.70
C)1.96
D)4.84
E)6.70
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The R<sup>2</sup><sup> </sup>value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)1.00 <div style=padding-top: 35px> The R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)1.00
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 30 and x<sub>2</sub> = 100,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)615.13 E)6153.13 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 30 and x<sub>2</sub> = 100,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)615.13 E)6153.13 <div style=padding-top: 35px> For x1= 30 and x2 = 100,the predicted value of y is ___.

A)753.77
B)1,173.00
C)1,355.26
D)615.13
E)6153.13
سؤال
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.9138 B)0.9408 C)0.8982 D)0.8851 E)0.8891 <div style=padding-top: 35px> <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.9138 B)0.9408 C)0.8982 D)0.8851 E)0.8891 <div style=padding-top: 35px> The adjusted R2 is ___.

A)0.9138
B)0.9408
C)0.8982
D)0.8851
E)0.8891
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The observed F value is ___.</strong> A)20 B)400 C)2000 D)500 E)10 <div style=padding-top: 35px> The observed F value is ___.

A)20
B)400
C)2000
D)500
E)10
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The adjusted R<sup>2</sup><sup> </sup>value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.86 E)0.76 <div style=padding-top: 35px> The adjusted R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.86
E)0.76
سؤال
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The MSE value is ___.</strong> A)20 B)400 C)2000 D)500 E)100 <div style=padding-top: 35px> The MSE value is ___.

A)20
B)400
C)2000
D)500
E)100
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Deck 13: Multiple Regression Analysis
1
The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of observations in the data set (N).
False
2
The mean square error (MSerr)is calculated by dividing the sum of squares error (SSerr)by the number of error degrees of freedom (dferr).
True
3
In a multiple regression model the partial regression coefficient of an independent variable represents the increase in the y variable when that independent variable is increased by one unit if the values of all other independent variables are held constant.
True
4
The model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon is a first-order regression model.
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5
Understand the limitations and pitfalls of multiple regression analysis.
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6
In the multiple regression model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon ,the β\beta coefficients of the x variables are called partial regression coefficients.
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7
The model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + ε\varepsilon is a second-order regression model.
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8
Examine significance tests of both the overall regression model and the regression coefficients.
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9
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.
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10
Regression analysis with one dependent variable and two or more independent variables is called multiple regression.
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11
The F value that is used to test for the overall significance a multiple regression model is calculated by dividing the mean square regression (MSreg)by the mean square error (MSerr).
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12
In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the value of x1 is increased by 2 and the value of x2 is increased by 3 simultaneously,the value of y will increase by (2b1+ 3b2)units.
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13
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.
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14
In the model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon ,y is the independent variable.
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15
Calculate the residual,standard error of the estimate,coefficient of multiple determination,and adjusted coefficient of multiple determination of a regression model.
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16
The F value that is used to test for the overall significance a multiple regression model is calculated by dividing the sum of mean squares regression (SSreg)by the sum of squares error (SSerr).
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17
Multiple t tests are used to determine whether the overall regression model is significant.
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18
In the model y = β\beta 0 + β\beta 1x1 + β\beta 2x2 + β\beta 3x3 + ε\varepsilon , ε\varepsilon is a constant.
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19
Use a computer to find and interpret multiple regression outputs.
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20
The F test is used to determine whether the overall regression model is significant.
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21
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).
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22
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 response variable in this model is ___.

A)plant manager compensation
B)plant capacity
C)number of employees
D)plant technology
E)nuclear
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23
The multiple regression formulas used to estimate the regression coefficients are designed to ___.

A)minimize the total sum of squares (SST)
B)minimize the sum of squares of error (SSE)
C)maximize the standard error of the estimate
D)maximize the p value for the calculated F value
E)minimize the mean error
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24
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "neighbourhood" variable in this model is ___.

A)an independent variable
B)a response variable
C)a quantitative variable
D)a dependent variable
E)a constant
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25
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).In this model,"batch size" is ___.

A)a response variable
B)an indicator variable
C)a dependent variable
D)a qualitative variable
E)an independent variable
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26
The standard error of the estimate of a multiple regression model is essentially the standard deviation of the residuals for the regression model.
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27
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)19 B)17 C)34 D)15 E)18 <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)19 B)17 C)34 D)15 E)18 The sample size for this analysis is ___.

A)19
B)17
C)34
D)15
E)18
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28
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 ___.

A)a qualitative variable
B)a dependent variable
C)a response variable
D)an indicator variable
E)a quantitative variable
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29
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).In this model,"shift" is ___.

A)a response variable
B)an independent variable
C)a quantitative variable
D)a dependent variable
E)a constant
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30
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 ___.

A)a response variable
B)a dependent variable
C)a quantitative variable
D)an independent variable
E)a constant
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31
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)a response variable
B)a quantitative variable
C)a dependent variable
D)a qualitative variable
E)an independent variable
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32
The standard error of the estimate of a multiple regression model is computed by taking the square root of the mean squares of error.
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33
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).The response variable in this model is ___.

A)batch size
B)production shift
C)production plant
D)total cost
E)variable cost
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34
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 616.6849 + 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> B)y = 154.5535 - 1.43058 x<sub>1</sub> + 5.30407 x<sub>2</sub> C)y = 616.6849 - 3.33833 x<sub>1</sub> - 1.780075 x<sub>2</sub> D)y = 154.5535 + 2.333548 x<sub>1</sub> + 0.335605 x<sub>2</sub> E)y = 616.6849 - 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 616.6849 + 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> B)y = 154.5535 - 1.43058 x<sub>1</sub> + 5.30407 x<sub>2</sub> C)y = 616.6849 - 3.33833 x<sub>1</sub> - 1.780075 x<sub>2</sub> D)y = 154.5535 + 2.333548 x<sub>1</sub> + 0.335605 x<sub>2</sub> E)y = 616.6849 - 3.33833 x<sub>1</sub> + 1.780075 x<sub>2</sub> The regression equation for this analysis is ___.

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
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35
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).
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36
In a multiple regression model,the proportion of the variation of the dependent variable,y,accounted for the independent variables in the regression model is given by the coefficient of multiple correlation.
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37
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "income" variable in this model is ___.

A)an indicator variable
B)a response variable
C)a qualitative variable
D)a dependent variable
E)an independent variable
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38
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 ___.

A)heated area
B)number of bedrooms
C)market value
D)central heating
E)residential houses
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39
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)a response variable
B)an independent variable
C)a quantitative variable
D)a dependent variable
E)a constant
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40
A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The response variable in this model is ___.

A)family size
B)expenditures on groceries
C)household income
D)suburban
E)household neighbourhood
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41
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)8.68 B)6.36 C)8.40 D)6.11 E)3.36   <strong>A multiple regression analysis produced the following tables:     Using  \alpha = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)8.68 B)6.36 C)8.40 D)6.11 E)3.36  Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)8.68
B)6.36
C)8.40
D)6.11
E)3.36
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42
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The R<sup>2</sup> value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)0.30 The R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)0.30
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43
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)3.74 B)3.89 C)4.75 D)4.60 E)2.74   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)3.74 B)3.89 C)4.75 D)4.60 E)2.74
Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)3.74
B)3.89
C)4.75
D)4.60
E)2.74
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44
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is significant at the 5% level D)x<sub>2</sub> is significant at the 5% level E)the intercept is not significant at 5% level <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is significant at the 5% level D)x<sub>2</sub> is significant at the 5% level E)the intercept is not significant at 5% level These results indicate that ___.

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 significant at the 5% level
D)x2 is significant at the 5% level
E)the intercept is not significant at 5% level
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45
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The number of degrees of freedom for regression is ___.</strong> A)1 B)4 C)34 D)30 E)35 The number of degrees of freedom for regression is ___.

A)1
B)4
C)34
D)30
E)35
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46
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The MSR value is ___.</strong> A)700.00 B)350.00 C)233.33 D)175.00 E)275.00 The MSR value is ___.

A)700.00
B)350.00
C)233.33
D)175.00
E)275.00
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47
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The adjusted R<sup>2</sup> value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)0.30 The adjusted R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)0.30
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48
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The value of the standard error of the estimate s<sub>e</sub> is ___.</strong> A)13.23 B)3.16 C)17.32 D)26.46 E)10.00 The value of the standard error of the estimate se is ___.

A)13.23
B)3.16
C)17.32
D)26.46
E)10.00
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49
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)1,173.00 B)772.40 C)460.97 D)615.13 E)987.78 <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)1,173.00 B)772.40 C)460.97 D)615.13 E)987.78 For x1= 60 and x2 = 200,the predicted value of y is ___.

A)1,173.00
B)772.40
C)460.97
D)615.13
E)987.78
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50
In regression analysis,outliers may be identified by examining the ___.

A)coefficient of determination
B)coefficient of correlation
C)p values for the partial coefficients
D)residuals
E)R-squared value
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51
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> = 0,the critical t value is ___.</strong> A)± 1.753 B)± 2.110 C)± 2.131 D)± 1.740 E)± 2.500   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.05 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> = 0,the critical t value is ___.</strong> A)± 1.753 B)± 2.110 C)± 2.131 D)± 1.740 E)± 2.500
Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = 0,the critical t value is ___.

A)± 1.753
B)± 2.110
C)± 2.131
D)± 1.740
E)± 2.500
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52
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The sample size for the analysis is ___.</strong> A)30 B)25 C)10 D)5 E)31 The sample size for the analysis is ___.

A)30
B)25
C)10
D)5
E)31
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53
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The number of degrees of freedom for error is ___.</strong> A)1 B)4 C)34 D)30 E)35 The number of degrees of freedom for error is ___.

A)1
B)4
C)34
D)30
E)35
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54
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at the 5% level <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at the 5% level These results indicate that ___.

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 the 5% level
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55
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.10 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)±1.345 B)±1.356 C)±1.761 D)±2.782 E)±1.782   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.10 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)±1.345 B)±1.356 C)±1.761 D)±2.782 E)±1.782
Using α\alpha = 0.10 to test the null hypothesis H0: β\beta 2 = 0,the critical t value is ___.

A)±1.345
B)±1.356
C)±1.761
D)±2.782
E)±1.782
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56
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The observed F value is ___.</strong> A)17.50 B)2.33 C)0.70 D)0.43 E)0.50 The observed F value is ___.

A)17.50
B)2.33
C)0.70
D)0.43
E)0.50
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57
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)12 B)15 C)14 D)28 E)24 <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)12 B)15 C)14 D)28 E)24 The sample size for this analysis is ___.

A)12
B)15
C)14
D)28
E)24
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58
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 752.0833 + 11.87375 x<sub>1</sub> + 1.908183 x<sub>2</sub> B)y = 752.0833 + 336.3158 x<sub>1</sub> + 2.236241 x<sub>2</sub> C)y = 336.3158 + 5.32047 x<sub>1</sub>+ 0.662742 x<sub>2</sub><sub>2</sub> D)y = 2.236241 + 2.231711 x<sub>1</sub> + 2.879226 x<sub>2</sub> E)y = 2.236241 + 2.231711 x<sub>1</sub> - 2.879226 x<sub>2</sub> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 752.0833 + 11.87375 x<sub>1</sub> + 1.908183 x<sub>2</sub> B)y = 752.0833 + 336.3158 x<sub>1</sub> + 2.236241 x<sub>2</sub> C)y = 336.3158 + 5.32047 x<sub>1</sub>+ 0.662742 x<sub>2</sub><sub>2</sub> D)y = 2.236241 + 2.231711 x<sub>1</sub> + 2.879226 x<sub>2</sub> E)y = 2.236241 + 2.231711 x<sub>1</sub> - 2.879226 x<sub>2</sub> The regression equation for this analysis is ___.

A)y = 752.0833 + 11.87375 x1 + 1.908183 x2
B)y = 752.0833 + 336.3158 x1 + 2.236241 x2
C)y = 336.3158 + 5.32047 x1+ 0.662742 x22
D)y = 2.236241 + 2.231711 x1 + 2.879226 x2
E)y = 2.236241 + 2.231711 x1 - 2.879226 x2
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59
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)658.24 B)711.98 C)788.09 D)1,846.14 E)2,546.98 <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 60 and x<sub>2</sub> = 200,the predicted value of y is ___.</strong> A)658.24 B)711.98 C)788.09 D)1,846.14 E)2,546.98 For x1= 60 and x2 = 200,the predicted value of y is ___.

A)658.24
B)711.98
C)788.09
D)1,846.14
E)2,546.98
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60
The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: <strong>The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The MSE value is ___.</strong> A)8.57 B)8.82 C)10.00 D)75.00 E)20.00 The MSE value is ___.

A)8.57
B)8.82
C)10.00
D)75.00
E)20.00
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61
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The value of the standard error of the estimate s<sub>e</sub> is ___.</strong> A)20.00 B)44.72 C)4.47 D)22.36 E)12.47 The value of the standard error of the estimate se is ___.

A)20.00
B)44.72
C)4.47
D)22.36
E)12.47
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62
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)0.5000 <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)0.5000 The coefficient of multiple determination is ___.

A)0.2079
B)0.0860
C)0.5440
D)0.7921
E)0.5000
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63
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.0592 B)0.9138 C)0.1149 D)0.9559 E)1.0000 <strong>A multiple regression analysis produced the following tables:     The coefficient of multiple determination is ___.</strong> A)0.0592 B)0.9138 C)0.1149 D)0.9559 E)1.0000 The coefficient of multiple determination is ___.

A)0.0592
B)0.9138
C)0.1149
D)0.9559
E)1.0000
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64
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)1.0000 <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)1.0000 The adjusted R2 is ___.

A)0.2079
B)0.0860
C)0.5440
D)0.7921
E)1.0000
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65
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)all variables are significant at 5% level <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)all variables are significant at 5% level These results indicate that ___.

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)all variables are significant at 5% level
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66
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The number of independent variables in the analysis is ___.</strong> A)30 B)25 C)1 D)5 E)2 The number of independent variables in the analysis is ___.

A)30
B)25
C)1
D)5
E)2
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67
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)17 B)13 C)16 D)11 E)15 <strong>A multiple regression analysis produced the following tables:     The sample size for this analysis is ___.</strong> A)17 B)13 C)16 D)11 E)15 The sample size for this analysis is ___.

A)17
B)13
C)16
D)11
E)15
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68
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The SSE value is ___.</strong> A)20 B)400 C)2000 D)500 E)2500 The SSE value is ___.

A)20
B)400
C)2000
D)500
E)2500
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69
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)± 1.174 B)± 2.093 C)± 2.131 D)± 4.012 E)± 3.012   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>2</sub> = 0,the critical t value is ___.</strong> A)± 1.174 B)± 2.093 C)± 2.131 D)± 4.012 E)± 3.012
Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 2 = 0,the critical t value is ___.

A)± 1.174
B)± 2.093
C)± 2.131
D)± 4.012
E)± 3.012
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70
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 40 and x<sub>2</sub> = 90,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)3,719.39 E)1,565.75 <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 40 and x<sub>2</sub> = 90,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)3,719.39 E)1,565.75 For x1= 40 and x2 = 90,the predicted value of y is ___.

A)753.77
B)1,173.00
C)1,355.26
D)3,719.39
E)1,565.75
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71
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 302689 + 1153309 x<sub>1</sub> + 1455998 x<sub>2</sub> B)y = -139.609 + 24.24619 x<sub>1</sub> + 32.10171 x<sub>2</sub> C)y = 2548.989 + 22.25267 x<sub>1</sub> + 17.44559 x<sub>2</sub> D)y = -0.05477 + 1.089586 x<sub>1</sub><sub> </sub>+ 1.840105 x<sub>2</sub> E)y = 0.05477 + 1.089586 x<sub>1</sub> + 1.840105 x<sub>2</sub> <strong>A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.</strong> A)y = 302689 + 1153309 x<sub>1</sub> + 1455998 x<sub>2</sub> B)y = -139.609 + 24.24619 x<sub>1</sub> + 32.10171 x<sub>2</sub> C)y = 2548.989 + 22.25267 x<sub>1</sub> + 17.44559 x<sub>2</sub> D)y = -0.05477 + 1.089586 x<sub>1</sub><sub> </sub>+ 1.840105 x<sub>2</sub> E)y = 0.05477 + 1.089586 x<sub>1</sub> + 1.840105 x<sub>2</sub> The regression equation for this analysis is ___.

A)y = 302689 + 1153309 x1 + 1455998 x2
B)y = -139.609 + 24.24619 x1 + 32.10171 x2
C)y = 2548.989 + 22.25267 x1 + 17.44559 x2
D)y = -0.05477 + 1.089586 x1 + 1.840105 x2
E)y = 0.05477 + 1.089586 x1 + 1.840105 x2
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72
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at 5% level <strong>A multiple regression analysis produced the following tables:     These results indicate that ___.</strong> A)none of the predictor variables are significant at the 5% level B)each predictor variable is significant at the 5% level C)x<sub>1</sub> is the only predictor variable significant at the 5% level D)x<sub>2</sub> is the only predictor variable significant at the 5% level E)the intercept is not significant at 5% level These results indicate that ___.

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
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73
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The MSR value is ___.</strong> A)20 B)400 C)2000 D)500 E)30 The MSR value is ___.

A)20
B)400
C)2000
D)500
E)30
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74
A multiple regression analysis produced the following tables:  <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)5.99 B)5.70 C)1.96 D)4.84 E)6.70   <strong>A multiple regression analysis produced the following tables:     Using  \alpha  = 0.01 to test the null hypothesis H<sub>0</sub>:  \beta <sub>1</sub> =  \beta <sub>2</sub> = 0,the critical F value is ___.</strong> A)5.99 B)5.70 C)1.96 D)4.84 E)6.70
Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0,the critical F value is ___.

A)5.99
B)5.70
C)1.96
D)4.84
E)6.70
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75
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The R<sup>2</sup><sup> </sup>value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.76 E)1.00 The R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.76
E)1.00
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76
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 30 and x<sub>2</sub> = 100,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)615.13 E)6153.13 <strong>A multiple regression analysis produced the following tables:     For x<sub>1</sub>= 30 and x<sub>2</sub> = 100,the predicted value of y is ___.</strong> A)753.77 B)1,173.00 C)1,355.26 D)615.13 E)6153.13 For x1= 30 and x2 = 100,the predicted value of y is ___.

A)753.77
B)1,173.00
C)1,355.26
D)615.13
E)6153.13
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77
A multiple regression analysis produced the following tables: <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.9138 B)0.9408 C)0.8982 D)0.8851 E)0.8891 <strong>A multiple regression analysis produced the following tables:     The adjusted R<sup>2</sup> is ___.</strong> A)0.9138 B)0.9408 C)0.8982 D)0.8851 E)0.8891 The adjusted R2 is ___.

A)0.9138
B)0.9408
C)0.8982
D)0.8851
E)0.8891
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78
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The observed F value is ___.</strong> A)20 B)400 C)2000 D)500 E)10 The observed F value is ___.

A)20
B)400
C)2000
D)500
E)10
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79
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The adjusted R<sup>2</sup><sup> </sup>value is ___.</strong> A)0.80 B)0.70 C)0.66 D)0.86 E)0.76 The adjusted R2 value is ___.

A)0.80
B)0.70
C)0.66
D)0.86
E)0.76
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80
The following ANOVA table is from a multiple regression analysis: <strong>The following ANOVA table is from a multiple regression analysis:   The MSE value is ___.</strong> A)20 B)400 C)2000 D)500 E)100 The MSE value is ___.

A)20
B)400
C)2000
D)500
E)100
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