Exam 15: Multiple Regression

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A regression diagnostic tool used to study the possible effects of collinearity is

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SCENARIO 15-1 SCENARIO 15-1   -Referring to Scenario 15-1, what is the value of the test statistic for testing whether there is an Upward curvature in the response curve relating the demand (Y)and the price (X)? -Referring to Scenario 15-1, what is the value of the test statistic for testing whether there is an Upward curvature in the response curve relating the demand (Y)and the price (X)?

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True or False: The goals of model building are to find a good model with the fewest independent variables that is easier to interpret and has lower probability of collinearity.

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True or False: Collinearity is present when there is a high degree of correlation between the dependent variable and any of the independent variables.

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SCENARIO 15-4 SCENARIO 15-4    15-16 Multiple Regression Model Building   - 15-16 Multiple Regression Model Building SCENARIO 15-4    15-16 Multiple Regression Model Building   - -SCENARIO 15-4    15-16 Multiple Regression Model Building   -

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The logarithm transformation can be used

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True or False: Collinearity will result in excessively low standard errors of the parameter estimates reported in the regression output.

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   . .

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The Variance Inflationary Factor (VIF)measures the

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SCENARIO 15-6 SCENARIO 15-6   -True or False: Referring to Scenario 15-6, the variable    should be dropped to remove collinearity? -True or False: Referring to Scenario 15-6, the variable SCENARIO 15-6   -True or False: Referring to Scenario 15-6, the variable    should be dropped to remove collinearity? should be dropped to remove collinearity?

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SCENARIO 15-4 SCENARIO 15-4    15-16 Multiple Regression Model Building   - 15-16 Multiple Regression Model Building SCENARIO 15-4    15-16 Multiple Regression Model Building   - -SCENARIO 15-4    15-16 Multiple Regression Model Building   -

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SCENARIO 15-2 SCENARIO 15-2   - -SCENARIO 15-2   -

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True or False: In data mining where huge data sets are being explored to discover relationships among a large number of variables, the best-subsets approach is more practical than the stepwise regression approach.

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SCENARIO 15-3 A chemist employed by a pharmaceutical firm has developed a muscle relaxant.She took a sample of 14 people suffering from extreme muscle constriction.She gave each a vial containing a dose (X)of the drug and recorded the time to relief (Y)measured in seconds for each.She fit a curvilinear model to this data.The results obtained by Microsoft Excel follow SCENARIO 15-3 A chemist employed by a pharmaceutical firm has developed a muscle relaxant.She took a sample of 14 people suffering from extreme muscle constriction.She gave each a vial containing a dose (X)of the drug and recorded the time to relief (Y)measured in seconds for each.She fit a curvilinear model to this data.The results obtained by Microsoft Excel follow   -Referring to Scenario 15-3, the prediction of time to relief for a person receiving a dose of 10 units of the drug is ________. -Referring to Scenario 15-3, the prediction of time to relief for a person receiving a dose of 10 units of the drug is ________.

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SCENARIO 15-6 SCENARIO 15-6   -True or False: Referring to Scenario 15-6, the variable    should be dropped to remove collinearity? -True or False: Referring to Scenario 15-6, the variable SCENARIO 15-6   -True or False: Referring to Scenario 15-6, the variable    should be dropped to remove collinearity? should be dropped to remove collinearity?

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SCENARIO 15-4 SCENARIO 15-4    15-16 Multiple Regression Model Building   -True or False: Referring to Scenario 15-4, the residual plot suggests that a nonlinear model on % attendance may be a better model. 15-16 Multiple Regression Model Building SCENARIO 15-4    15-16 Multiple Regression Model Building   -True or False: Referring to Scenario 15-4, the residual plot suggests that a nonlinear model on % attendance may be a better model. -True or False: Referring to Scenario 15-4, the residual plot suggests that a nonlinear model on % attendance may be a better model.

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