Exam 15: Multiple Regression and Model Building

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Below is a partial multiple regression computer output.

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Below is a partial multiple regression ANOVA table.

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The manufacturer of a light fixture believes that the dollars spent on advertising,the price of the fixture and the number of retail stores selling the fixture in a particular month influence the light fixture sales.The manufacturer randomly selects 10 months and collects the following data:

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A very insignificant independent variable (an independent variable that has a very weak relationship with the dependent variable)is added to a multiple regression equation.As a result of this change,the value of the explained variation (SSR)will _________,the value of the multiple coefficient of determination (R2)will _________,and the calculated value of the F statistic will most likely _________.

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An acceptable residual plot exhibits:

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When independent variables in a regression model are related to,or dependent on,each other,then there exists _____________ among the independent variables.

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In a multiple regression model we can conclude that multicollinearity exists if the average variance inflation factor (VIF)( \overline { V I F } ) Is substantially greater than _____.

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In multiple regression analysis,if the simple correlation coefficient between the dependent variable and one of the independent variables is .95,then this indicates that the problem of multicollinearity exists.

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The ____________ term describes the effects on y of all factors other than the independent variables in a multiple regression model.

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Which one of the following tools is not used to check the normality of residuals assumption for a multiple regression model?

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A partial F test is used to assess when at least one variable in a subset of squared and interaction variables in the multiple regression model is significant.

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Consider the following partial computer output for a multiple regression model.

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Consider the following partial computer output for a multiple regression model.

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If a multiple regression model has a(n)____________ statistic substantially greater than k + 1,then it can be shown that this model has substantial bias and is undesirable.

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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:

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The assumption of independent error terms in regression analysis is often violated when using time-series data.

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Consider the following partial computer output for a multiple regression model.

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Below is a partial multiple regression ANOVA table.

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In the quadratic regression model y=β0+β1X1+β2X12+ε\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon The ?2 term represents the:

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The manufacturer of a light fixture believes that the dollars spent on advertising,the price of the fixture,and the number of retail stores selling the fixture in a particular month influence the light fixture sales.The manufacturer randomly selects 10 months and collects the following data:

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