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Multicollinearity between independent variables is

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Unformatted text preview: ntial observations in multiple regression analysis. C. Determining the significance of an independent variable. D. Determining if there is significant multicollinearity. E. Determining if the overall regression model is significant. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Outliers & Influential Observations 1-1487 Chapter 01 - An Introduction to Business Statistics 37. 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 explained variation (SSR) will _________, the value of multiple coefficient of determination (R2) will _________, and the calculated value of the F statistic will most likely _________. A. Decrease, increase, decrease B. Increase, decrease, decrease C. Increase, increase, increase D. Increase, increase, decrease E. Decrease, decrease, decrease AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 5 Topic: Model Building 38. The Durbin-Watson test statistic ranges from: A. -4 to 4 B. 0 to 4 C. 0 to 3 D. -1 to 1 E. 0 to 1 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 8 Topic: Autocorrelation 39. If the Durbin-Watson statistic is less than dL, then it is concluded that A. There is significant positive autocorrelation. B. There is significant negative autocorrelation. C. There is significant autocorrelation but it cannot be identified whether it is positive or negative. D. The test results are inconclusive. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 8 Topic: Autocorrelation 1-1488 Chapter 01 - An Introduction to Business Statistics 40. If the Durbin-Watson statistic is greater than (4 - dL), then it is concluded that A. There is significant positive autocorrelation. B. There is significant negative autocorrelation. C. There is significant autocorrelation but it cannot be identified whether it is positive or negative. D. The test result is inconclusive. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 8 Topic: Autocorrelation 41. In regression analysis the _________ is used to identify outliers with respect to their x values and ________ is used to identify outliers with respect to their y values. A. Leverage value, Durbin-Watson statistic B. Leverage value, residuals C. Residuals, standardized residuals D. Durbin-Watson statistic, residuals E. Variance Inflation Factor, Leverage value AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 6 Topic: Outliers & Influential Observations 42. Which one of the following is not a tool used to identify multicollinearity? A. Variance Inflation Factor B. Correlation matrix C. Studentized residuals D. Scatter plots that show the scatter plots for all combinations of variables in the regression model AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 4 Topic: Multicollinearity 1-1489 Chapter 01 - An Introduction to Business Statistics 43. In multiple regression analysis an outlier observation is ____________ influential. A. Always B. Sometimes C. Never AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 6 Topic: Outliers & Influential Observations 44. In residual analysis, as the value of the leverage _____________, the value of the studentized residual _____________. A. Decreases, increases B. Increases, decreases C. Decreases, decreases D. None of the above AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 6 Topic: Outliers & Influential Observations 45. In a multiple regression model, as a result of adding a new independent variable, as s ___________, the length of the prediction interval for y will _________. A. Increases, always increase B. Decreases, sometimes decrease C. Increases, never increase D. Decreases, always increase E. Increases, always decrease AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 5 Topic: Model Building 1-1490 Chapter 01 - An Introduction to Business Statistics 46. 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. A. Overall F test B. Durbin-Watson test C. Partial F test D. t test E. Cook's distance measure AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 1 Topic: Quadratic 47. Given the regression model y = β0 + β1X1 + β2X2 + β3X12 + β4X22 + ε, if we wish to test the significance of the independent variable X2, the appropriate null hypothesis is: A. H0: X2 = 0 B. H0: β2 ≠ 0 C. H0: β2 ≠ X2 D. H0: β2 = 0 E. H0: β2 - X2 = 0 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 1 Topic: Quadratic 48. In multiple regression analysis which of the following can be used to identify multicollinearity? A. The VIF B. The correlation matrix C. The standard erro...
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