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Comm291_Final_Exam_2004 - The University of British...

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The University of British Columbia Sauder School of Business COMMERCE 291 Final Examination, April 2004 Name: ____________________________ Student Number: ________________ (Underline your last name) Section Number/Instructor (Check one) ___201 TR 8:30-10:30 Alan Donald ___206 MW 10:30-12:30 Jonathan ___202 TR 10:30-12:30 Alan Donald Berkowitz ___203 TR 2:30- 4:30 Shuya Yin ___207 MW 4:30- 6:30 Jonathan Patrick ___204 TR 4:30- 6:30 Ellen Fowler ___208 MW 2:30- 4:30 Weon Yoo ___205 MW 8:30-10:30 Ellen Fowler ___209 MW 4:00- 6:00 Ellen Fowler Instructions -- Read carefully. Do not start this exam until you have entered your name, student number and section number at the top of this page. Put your student card on the desk ready for identification. This exam consists of 9 questions . Check that you have 12 pages , including this page. Check to ensure that your copy is complete. You have 3 hours to do this exam. This is an "open book and notes" exam. After you are told that the exam is over, you have 5 minutes to get your exam booklet to the indicated places as you exit the exam room. Write your answers on the actual copy of this exam in the indicated spaces . Hand in only this exam. Nothing else will be marked. You may use scratch paper to do rough calculations but do not hand in the scratch paper. Answer ALL questions. Question Maximum Your Mark 1 10 2 10 3 8 4 18 5 10 6 8 7 12 8 9 9 15 Total 100 1
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Question 1 (Total 10 marks) – “True or False” (to get you started) For each of the following statements, indicate whether the statements are True or False. Parts a) through f) refer to simple linear regression; parts g) through j) are about hypothesis testing in general. Each statement is worth one mark; there is no penalty for a wrong answer. Circle True or False. No explanation is needed. a) A value of r = 0.7 means that 70% of the variation True False in Y is explained by the independent variable. b) If r 2 = 1, then it must be the case that r = 1. True False c) (1-r 2 )SST = SSE True False d) For a given level of confidence the narrowest confidence True False interval for the mean Y will occur at x . e) Let b 1 be the slope of the regression line of Y on X, and b 2 True False the slope of the regression line of X on Y, and r the sample correlation coefficient between X and Y. Then b 1 x b 2 = r 2 . f) The least squares regression line passes through ( y x , ) True False and through (0, x b y 1 - ). g) If the null hypothesis is rejected in a test, then this True False proves that the null hypothesis is false. h) A Type I error cannot be made if the null hypothesis True False is accepted. i) A good way to increase the chance of detecting a true True False difference between two means is to increase the sample size. j) A confidence interval for the population mean based
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Comm291_Final_Exam_2004 - The University of British...

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