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Chapter 4 Multiple Regression Analysis (Part 2)

Chapter 4 Multiple Regression Analysis (Part 2). Terry Dielman Applied Regression Analysis: A Second Course in Business and Economic Statistics, fourth edition. POP QUIZ #7 [2.5 points]. POP QUIZ #7. 1. To decide whether two new predictors should be included, we perform a:

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Chapter 4 Multiple Regression Analysis (Part 2)

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  1. Chapter 4Multiple Regression Analysis(Part 2) Terry Dielman Applied Regression Analysis: A Second Course in Business and Economic Statistics, fourth edition Multiple Regression II

  2. POP QUIZ #7 [2.5 points]

  3. POP QUIZ #7 1. To decide whether two new predictors should be included, we perform a: • T test for the group of new variables • T test for the group of old variables • F test that compares MSRF to MSEF • F test that compares MSRR to MSER • F test that compares MSER to MSEF

  4. POP QUIZ #7 • When we consider a group of new predictors, we can compute SSER - SSEF using: • The first sequential SSR entering the model • The last sequential SSR entering the model • The sum of all sequential SSRs of the new variables • The sum of all sequential SSRs of the existing variables • The sum of all sequential SSRs of the existing plus the new variables

  5. POP QUIZ #7 3. The predicted SALES listed below implies that: New Obs Fit SE Fit 95.0% CI 95.0% PI 1 1184.2 25.2 (1131.8, 1236.6) ( 988.8, 1379.5) • We are 95% sure individual sales will be between 1131.8 and 1236.6 • We are 95% sure average sales will be between 988.8 and 1379.5 • We are 95% sure individual sales will be between 988.8 and 1379.5 • We are 95% sure individual sales will be 1184.2

  6. POP QUIZ #7 4. Multicollinearity can be detected using: • Variance Inflation Factors • Regression Coefficients • Sequential Error Sums of Squares • Sequential Regression model Sums of Squares • An F test

  7. POP QUIZ #7 • If Y = monthly unemployment rate data are considered, what is the meaning of the 1st Lag of Y? • It’s the rate of the next month • It’s the rate of the previous month • It’s the current rate minus the rate of the previous month • It’s the rate of the next month minus the rate of the current month

  8. Answers! √

  9. POP QUIZ #7 1. To decide whether two new predictors should be included, we perform a: • T test for the group of new variables • T test for the group of old variables • F test that compares MSRF to MSEF • F test that compares MSRR to MSER • F test that compares MSER to MSEF √

  10. POP QUIZ #7 • When we consider a group of new predictors, we can compute SSER - SSEF using: • The first sequential SSR entering the model • The last sequential SSR entering the model • The sum of all sequential SSRs of the new variables • The sum of all sequential SSRs of the existing variables • The sum of all sequential SSRs of the existing plus the new variables √

  11. POP QUIZ #7 3. The predicted SALES listed below implies that: New Obs Fit SE Fit 95.0% CI 95.0% PI 1 1184.2 25.2 (1131.8, 1236.6) ( 988.8, 1379.5) • We are 95% sure individual sales will be between 1131.8 and 1236.6 • We are 95% sure average sales will be between 988.8 and 1379.5 • We are 95% sure individual sales will be between 988.8 and 1379.5 • We are 95% sure individual sales will be 1184.2 √

  12. POP QUIZ #7 4. Multicollinearity can be detected using: • Variance Inflation Factors • Regression Coefficients • Sequential Error Sums of Squares • Sequential Regression model Sums of Squares • An F test √

  13. POP QUIZ #7 • If Y = monthly unemployment rate data are considered, what is the meaning of the 1st Lag of Y? • It’s the rate of the next month • It’s the rate of the previous month • It’s the current rate minus the rate of the previous month • It’s the rate of the next month minus the rate of the current month √

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