The Ladies Professional Golfers Association of America (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers for 21014 appear in the le LPGAZMStats (LPGA website). Earnings (310005) is the total earnings in thousands of dollars; Scoring Avg. is the average score for all events; Greens in Reg. is the percentage of time a player is able to hit the greens in regulation: Putting Avg. is the average number of putts taken on greens hit in regulation; and Drive Accuracy is the percentage of times a tee shot comes to rest in the fairway. A green is considered hit in regulation if any part of the ball is touching the putting surface and the difference between the value of par for the hole and the number of strokes taken to hit the green is at least 2. Click on the datale logo to reference the data. | -. DATA I} 1 k\" If not otherwise stated, round your answers to the nearest whole number. Enter negative values as negative numbers. a. Develop an estimated regression equation that can be used to predict the total earnings for all events given the average number of putts taken on greens hit in regulation. Earniiigs = f 'i + j ' Tuning Avg. b. Develop an estimated regression equation that can be used to predict the total earnings for all events given the average number of putts taken on greens hit in regulation, the percentage of time a player is able to hit the greens in regulation, and the percentage of times a player's tee shot comes to rest in the fairway. Drive Accuracy _,_...-...__ |'. Earnings; 3+: _';PuttingAvg.+g' iGreensinReg.+j_ c. At the 0.05 level of signicance, test whether the two independent variables added in part (la), the percentage of time a player is able to hit the greens in regulation and the percentage of times a player's tee shot comes to rest in the fairway, contribute signicantly to the estimated regression equation developed in part (a). Use Table 4 in Appendix B. F = I (to 2 decimals) The p-value associated with F is . What is your conclusion? The addition of the two independent variables statistically signicant. cl. In general, lower scores should lead to higher earnings. To investigate this option for predicting total earnings, develop an estimated regression equation that can be used to predict total earnings for all events given the average score for all events. _,_...-...__ . , .' ' : _ Earnings == : + ; :Scoinng Avg. Would you prefer to use this equation to predict total earnings, or would you prefer to use the estimated regression equation developed in part (b)? Explain. 1. Although the equation developed in part (b) provides a better t, the equation developed in part (II) is a simpler model. Therefore, we cannot determine which equation is better. 11. Because the equation developed in part (Ia) provides a better t, it is preferred over the equation developed in part (II). [11. Because the equation developed in part (II) provides a better t and is a simpler model, it Is preferred over the equation developed in part (b)