questions 1-10 based off the original information as well as the additional info pertaining to 7 & 8 as well as 9 & 10. question #11 on its own (not based off any of the previous info)
Use the following to answer questions 110: There is an old saying in golf: \"You drive for show and you putt for dough.\" The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data on the top 69 money winners on the PGA tour in 1993 are examined. The average number of putts per hole for each player is used to predict the total winnings (in thousands of dollars) using the simple linear regression model (1993 winnings) = u + U,(average number of putts per hole): + a. where the deviations are assumed to be independent and Normally distributed with mean 0 and standard deviation 0. This model was t to the data using the method of least squares. The following results were obtained from statistical software: R2 = 0.081 Use the following additional information to answer questions 7 s=281.8 and 8: Variable Parameteresmam 5mm em, Suppose the researchers conducting this study wish to estimate 95.0% R]. Constant 7897.2 3023.8 the 1993 winnings when the average number of putts per hole is Average Putts 41139-2 16984 1.75. The following results were obtained from statistical software. Predicted winnings Standard error 95.0% CI. 653.6 61.62 (530.6. 776.6)(77.7, 1229.4) 7. [f the researchers wish to estimate the mean winnings for all tour pros whose average number of putts per hole is 175, what would be a 95% condence interval for the mean winnings? A) (77.7, 1229.4) C) B) (530.6, 776.6) D) 653.6 i 61.62 653.6 i 123.24 8. 1f the researchers wish to estimate the winnings for a particular tour pro whose average number of putts per hole is 1.75, what would be a 95% prediction interval for the winnings? A)(77.7. 1229.4) C) B) (530.6, 776.6) D) 653.6 i 61.62 653.6 i 123.24 Use the following additional information to answer questions 9 and 10: The following (partial) ANOVA table was obtained from statistical software: Source DF Sum of Squares Model 1 471,605 Error 5,319,690 9. What is the value of SST, the total sum of squares? A) 79,398 C) 5,319,690 B) 471,605 D) 5,791,295 10. What is the value of the F-statistic for testing the hypotheses H0: 0, = 0 versus H,: U. [I 0? A) 0.089 C) 4.72 B) 2.44 D) 5.94 11. The statistical model for simple linear regression has the formzyr' ' $0 + lxi + 5,. , i = 1, 2, .... In Which of the following statements about this statistical model is (are) TRUE? A) The 5: are assumed to be Normally distributed with mean 0 and standard deviation 5. B) The parameters of this model are 30 ,BI . and s. C) 30 "' \"I is the mean response when x ' In . D) The '1 , i= 1, 2. n are independent. E) All of the above are true
