Exam 14: Multiple Regression and Model Building

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The multiple coefficient of determination is the _______ divided by the total variation.

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Which one of the following is not an assumption about the residuals in a regression model?

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Adding any independent variable to a regression model will increase ____________.

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A t test is used in testing the significance of an individual independent variable.

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Use the following correlation matrix and determine the best multiple regression prediction equation that has no significant multicollinearity. Use the following correlation matrix and determine the best multiple regression prediction equation that has no significant multicollinearity.

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In a multiple regression analysis,if the normal probability plot ____________,then it can be concluded that the assumption of normality is not violated.

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In multiple regression analysis,a desirable residual plot has what type of appearance?

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In regression analysis,the standard error (s)is _________ greater than the standard deviation of y (the dependent variable).

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The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games,the team statistician has used a multiple regression model with dummy variables.The model is of the form y = β0 + β1x1 + β2x2 + β3x3 + ε,where: y = attendance at a home game. x1 = current power rating of the team on a scale from 0 to 100 before the game. x2 and x3 are dummy variables,and they are defined below. x2 = 1,if weekend, x2 = 0,otherwise. x3 = 1,if weather is favorable, x3 = 0,otherwise. After collecting the data,based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation: The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games,the team statistician has used a multiple regression model with dummy variables.The model is of the form y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where: y = attendance at a home game. x<sub>1</sub> = current power rating of the team on a scale from 0 to 100 before the game. x<sub>2</sub> and x<sub>3</sub> are dummy variables,and they are defined below. x<sub>2</sub> = 1,if weekend, x<sub>2</sub> = 0,otherwise. x<sub>3</sub> = 1,if weather is favorable, x<sub>3</sub> = 0,otherwise. After collecting the data,based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation:   The multiple regression computer output also indicated the following:   Interpret the estimated model coefficient b<sub>1</sub>. The multiple regression computer output also indicated the following: The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games,the team statistician has used a multiple regression model with dummy variables.The model is of the form y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where: y = attendance at a home game. x<sub>1</sub> = current power rating of the team on a scale from 0 to 100 before the game. x<sub>2</sub> and x<sub>3</sub> are dummy variables,and they are defined below. x<sub>2</sub> = 1,if weekend, x<sub>2</sub> = 0,otherwise. x<sub>3</sub> = 1,if weather is favorable, x<sub>3</sub> = 0,otherwise. After collecting the data,based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation:   The multiple regression computer output also indicated the following:   Interpret the estimated model coefficient b<sub>1</sub>. Interpret the estimated model coefficient b1.

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A multiple regression analysis with 20 observations on each of three independent variables and the dependent variable would yield ______ and _______ degrees of freedom,respectively,for regression (explained)and error.

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