questions 1-6 based on the information at the top
Use the following to answer questions 1-10: 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), = 0% + (average number of putts per hole), + 7 where the deviations /7 are assumed to be independent and Normally distributed with mean 0 and standard deviation 7. This model was fit to the data using the method of least squares. The following results were obtained from statistical software: R = 0.081 s = 281.8 Variable Parameter estimate Standard error Constant 7897.2 3023 8 Average putts 4139.2 1698.4 1. Determine whether each of the following statements is true or false. A) The explanatory variable in this study is the average number of putts per hole. B) The value of the correlation between 1993 winnings and average number of putts per hole is 0.285. () If the average number of putts per hole increases by 1, we estimate the winnings in 1993 to decrease by $4,139.20. D) We predict the 1993 winnings for a golf pro with an average of 1.75 putts per hole to be $653.600.00. 2. The quantity s = 281.8 is an estimate of the standard deviation 7 of the deviations in the simple linear regression model. What are the degrees of freedom for this estimate? A) 66 C) 68 B) 67 D) 69 3. What is the value of the intercept of the least squares regression line? A) 1,698.4 -4.139.2 B) 3,023.8 D) 7,897.2 4. Suppose the researchers conducting this study wish to test the hypotheses H,: / = 0 versus H: I,