There Is an Old Saying in Golf: "You Drive for Show

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) _i = $\beta$ ₀ + $\beta$ ₁(average number of putts per hole) _i + $\varepsilon$ _i,
Where the deviations $\varepsilon$ _i are assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of $\sigma$ .This model was fit to the data using the method of least squares.The following results were obtained from statistical software. Suppose the researchers conducting this study wish to estimate the 1993 winnings when the average number of putts per hole is 1.75.The following results were obtained from statistical software. If the researchers wish to estimate the mean winnings for all tour pros whose average number of putts per hole is 1.75,what would be a 95% confidence interval for the mean winnings?

A) (77.7,1229.4)
B) (530.6,776.6)
C) 653.6 ± 61.62
D) 653.6 ± 123.24