Question 6. Suppose the professor doesn’t really understand linear regression and asks you for helpi

Question 6. Suppose the professor doesn’t really understand linear regression and asks you for helpinterpreting the y-intercept of the regression line. Which of the following gives the bestexplanation, if you round your answer to three places?a) The model has no y-intercept.b) The y-intercept is 66.748, and it represents the average score in the course for all thestudents in all the sections, according to the model.c) The coordinates of the y-intercept are 0, 66.748 , and it means that according tothe model (not the data), if a student spends zero hours working homework, theirscore in the course would be 66.748%. This is an extrapolated value, however, andhas nothing which corresponds directly in the data set.d) The coordinates of the y-intercept are 0, 0.122 , and it means that according to themodel (not the data), if a student spends 0.122 hours working homework, their scorein the course would be 0%. This is an extrapolated value, however, and has nothingwhich corresponds directly in the data set.e) None of these.Use the following to answer questions 7-12:iPhoneownershipYesNoiPad ownershipYesNo310345300645Consider the table shown above, which summarizes the results of a survey of randomly selectedstudents at a university campus regarding their ownership of Apple products. Use theinformation to answer the following questions.Revised Spring 2016Page 57. If you were to re-express the information contained in the contingency table above inthe form of a Venn diagram, which of the following, if any, would be correct?a)b)c) None of these.8. According to the survey responses, what is the probability that a randomly selectedstudent owns neither an iPad or an iPhone? Round your answer to no more than fourplaces.a) 0.4075 b) 0.4023 c) 0.4031 d) 0.4125 e) None of these.9. According to the survey responses, what is the probability that a randomly selectedstudent owns an iPhone? Round your answer to no more than four places.a) 0.2156 b) 0.4094 c) 0.2219 d) 0.4052 e) None of these.10. According to the survey responses, what is the probability that a randomly selectedstudent owns an iPhone or an iPad? Round your answer to no more than four places.a) 0.5969 b) 0.5891 c) 0.1938 d) 0.6022 e) None of these.Revised Spring 2016Page 611. According to the survey responses, the events “owns an iPad” and “owns an iPhone” are(mark all which apply):a) Independentd) Mutually exclusiveb) Binomiale) None of these.c) Complements of each other12. According to the survey responses, what is the probability that a randomly selectedstudent owns an iPad, given they own an iPhone? Round your answer to no more thanfour places.a) 0.4719 b) 0.1938 c) 0.4726 d) 0.4732 e) None of these.Use the following to answer questions 13-15:A dice game, based on rolling two six-sided dice (similar to the game of craps) costs $1 to playand offers the following jackpots:Roll2, 12Hard 4, 6, 8, 10Jackpot$10$5A hard 4 means rolling (2, 2); hard 6 means (3, 3), and so forth.13. What is the expected value of this game, from the perspective of the house (i.e., notthe player)? Round your answer to two places.a) $0.05 b) $0.20 c) $0.09 d) $0.05 e) None of these.14. Regarding this dice game, from the perspective of the player (i.e., not the house),which of the following are true? Mark all which apply.a) The expected value is positive.b) The expected value is negative.c) This is a profitable game.d) This is an unprofitable game.e) None of these.15. Which of the following (if any) changes to the payouts would make the game fair(expected value of zero)? Mark all which apply.a) $6 for rolling 2 or 12, and $3 for rolling (2, 2), (3, 3), (4, 4), (5, 5).b) $8 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)c) $12 for rolling 2 or 12, and $6 for rolling (2, 2), (3, 3), (4, 4), (5, 5).d) $4 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)e) None of these.