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MGSC 272 W09 SAMPLE Mid-term Exam Revised F20100

# MGSC 272 W09 SAMPLE Mid-term Exam Revised F20100 - McGill...

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McGill University The Desautels Faculty of Management ADVANCED BUSINESS STATISTICS MGSC-272 SAMPLE MID-TERM EXAMINATION Name: Student #: Instructor: Section: Examiner: Professor Brian Smith Time: 2 Hours There are two parts to this examination. The first part is made-up of fifteen multiple-choice or fill-in-the- blanks questions. Each question is worth 2 marks . In the case of the multiple-choice questions make sure you clearly circle your selected response. The second part consists of three questions on multiple regression. The Minitab printouts for these questions are included in the text of the question. When answering the questions use the embedded printouts to support your comments and conclusions. This is a closed book examination. A one-page cribsheet is permitted. Write your answers in the space provide on the examination. Dictionaries are allowed. Total marks: 100

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QUESTION 1 (30 marks) 1. For a multiple regression model, consider the following statements regarding multicollinearity: I. If two independent variables have a correlation of 0.50 or more the model will contain multicollinearity. II. One problem with multicollinearity is that confidence intervals for the regression coefficients are wide and imprecise. III. Variance inflation factors measure the simple correlations between pairs of independent variables in the model. Which of the above statements are true: A. I and II only B. II and III only C. II only D. III only E. All of the above statements are true. Answer: A 2. For a multiple regression model, when testing a hypothesis for a regression coefficient, which of the following statements are true: I. If the model contains multicollinearity, a t-test is more likely to erroneously conclude H 0 . II. If the model contains no multicollinearity, the F-test and t-tests are equally effective. III. The test statistic is calculated by dividing the coefficient by its standard error. Which of the above statements are true: A. I and II only B. II and III only C. I only D. III only E. All of the above statements are true. Answer: E 2
The following information pertains to the next two questions: Below you are given a partial Minitab output based on a sample of 20 observations. Coefficient Standard Error Constant 145.321 48.682 X 1 25.625 9.150 X 2 -5.720 3.575 X 3 0.823 0.183 X 4 1.238 0.421 3. Refer to the information above. At the 1% level of significance which of the following statements are true? A. Variables X 1 and X 2 are significant, but variable X 3 is not significant. B. Variables X 1 and X 3 are significant, but variable X 2 is not significant C. Only variables X 1 is significant. D. Only variable X 3 is significant. E. None of the variables are significant. Answer:

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MGSC 272 W09 SAMPLE Mid-term Exam Revised F20100 - McGill...

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