Exam 15: Multiple Regression and Model Building

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Below is a partial multiple regression ANOVA table.

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In using a regression model,if a new independent variable is added,the value of R2 (thr coefficient of multiple determination)will ___________ decrease.

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The variance inflation factor measures the relationship between the dependent variable and the rest of the independent variables in the regression model.

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The y intercept (β0)in a multiple regression model represents the estimated value of the __________ variable,when the value of all independent variables are _________.

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Below is a partial multiple regression ANOVA table.

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

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A particular multiple regression model has 3 independent variables,the sum of the squared error is 7680,and the total number of observations is 34.What is the value of the standard error of estimate?

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Below is a partial multiple regression computer output.

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

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Plotting the residuals in a time-ordered sequence will reveal possible violations of the __________ of error terms assumption.

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Calculate the odds ratio for an event when its probability is 0.50.

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The general form of the quadratic multiple regression models is:

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

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Because multiple regression models consist of multiple independent variables,residual analysis cannot be performed.

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A county has four major hospitals: (1)Regional Memorial, (2)General, (3)Charity,and (4)City.A multiple regression model is used to compare the time spent in these hospitals after a heart bypass surgery.The response variable is the amount of time spent in the hospital (in days),the quantitative independent variables include the age of the patient,cholesterol level of the patient,and blood pressure of the patient.Define the dummy variables so that all other hospitals are compared to City hospital (base).

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Given the regression model y = β0 + β1x1 + β2x2 + β3x12 + β4x22 + ε,if we wish to test the significance of higher-order terms (x12 and x22),we would use the following test.

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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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Below is a partially completed multiple regression analysis of variance (ANOVA)table.

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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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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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