Exam 14: Building Multiple Regression Models

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The following scatter plot indicates that _________. The following scatter plot indicates that _________.

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If a data set contains k independent variables,the "all possible regression" search procedure will determine 2k different models.

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Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable entered by the forward selection procedure will be ___________. Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable entered by the forward selection procedure will be ___________.

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A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the The academic grade level for the child and the total costs spent per child per academic year.They Performed a multiple regression analysis using total cost as the dependent variable and academic Year (x1)as the independent variables.The multiple regression analysis produced the following Tables.  A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the The academic grade level for the child and the total costs spent per child per academic year.They Performed a multiple regression analysis using total cost as the dependent variable and academic Year (x<sub>1</sub>)as the independent variables.The multiple regression analysis produced the following Tables.      Using  \alpha  = 0.05 to test the null hypothesis H0:  \beta 1 = 0,the critical t value is ____.  A local parent group was concerned with the increasing school cost for families with school aged children.The parent group was interested in understanding the relationship between the The academic grade level for the child and the total costs spent per child per academic year.They Performed a multiple regression analysis using total cost as the dependent variable and academic Year (x<sub>1</sub>)as the independent variables.The multiple regression analysis produced the following Tables.      Using  \alpha  = 0.05 to test the null hypothesis H0:  \beta 1 = 0,the critical t value is ____. Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = 0,the critical t value is ____.

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An acceptable method of managing multicollinearity in a regression model is the ___.

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The interaction between two independent variables can be examined by including a new variable,which is the sum of the two independent variables,in the regression model.

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Alan Bissell,a market analyst for City Sound Online Mart,is analyzing sales from heavy metal song downloads.Alan's dependent variable is annual heavy metal song download sales (in $1,000,000's),and his independent variables are website visitors (in 1,000's)and type of download format requested (0 = MP3,1 = other).Regression analysis of the data yielded the following tables. Alan Bissell,a market analyst for City Sound Online Mart,is analyzing sales from heavy metal song downloads.Alan's dependent variable is annual heavy metal song download sales (in $1,000,000's),and his independent variables are website visitors (in 1,000's)and type of download format requested (0 = MP3,1 = other).Regression analysis of the data yielded the following tables.   For an MP3 sales with 10,000 website visitors,Alan's model predicts annual sales of heavy metal dong downloads of ________________. For an MP3 sales with 10,000 website visitors,Alan's model predicts annual sales of heavy metal dong downloads of ________________.

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A multiple regression analysis produced the following tables. A multiple regression analysis produced the following tables.     For x1= 20,the predicted value of y is ____________. A multiple regression analysis produced the following tables.     For x1= 20,the predicted value of y is ____________. For x1= 20,the predicted value of y is ____________.

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The following scatter plot indicates that _________. The following scatter plot indicates that _________.

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If each pair of independent variables is weakly correlated,there is no problem of multicollinearity.

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A multiple regression analysis produced the following tables. A multiple regression analysis produced the following tables.     For x1= 10,the predicted value of y is ____________. A multiple regression analysis produced the following tables.     For x1= 10,the predicted value of y is ____________. For x1= 10,the predicted value of y is ____________.

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Which of the following iterative search procedures for model-building in a multiple regression analysis adds variables to model as it proceeds,but does not reevaluate the contribution of previously entered variables?

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Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is weekly household expenditures on groceries (in $'s),and her independent variables are annual household income (in $1,000's)and household neighborhood (0 = suburban,1 = rural).Regression analysis of the data yielded the following table. Abby Kratz,a market specialist at the market research firm of Saez,Sikes,and Spitz,is analyzing household budget data collected by her firm.Abby's dependent variable is weekly household expenditures on groceries (in  Abby's model is ________________.s),and her independent variables are annual household income (in $1,000's)and household neighborhood (0 = suburban,1 = rural).Regression analysis of the data yielded the following table.   Abby's model is ________________. Abby's model is ________________.

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Recoding data cannot improve the fit of a regression model.

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The regression model y = β\beta 0 + β\beta 1 x1 + β\beta 2 x2 + β\beta 3 x3 + ε\varepsilon is a third order model.

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Large correlations between two or more independent variables in a multiple regression model could result in the problem of ________.

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Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable that will be entered into the regression model by the forward selection procedure will be ___________. Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals that the first independent variable that will be entered into the regression model by the forward selection procedure will be ___________.

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A useful technique in controlling multicollinearity involves the _________.

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After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables. After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables.     For x1= 10,the predicted value of y is ____________. After a transformation of the y-variable values into log y,and performing a regression analysis produced the following tables.     For x1= 10,the predicted value of y is ____________. For x1= 10,the predicted value of y is ____________.

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Hope Hernandez is the new regional Vice President for a large gasoline station chain.She wants a regression model to predict sales in the convenience stores.Her data set includes two qualitative variables: the gasoline station location (inner city,freeway,and suburbs),and curb appeal of the convenience store (low,medium,and high).The number of dummy variables needed for "curb appeal" in Hope's regression model is ______.

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