(solution) PGA Tours Statistics The Professional Golfers Association (PGA) maintains data on performance and…

(solution) PGA Tours Statistics The Professional Golfers Association (PGA) maintains data on performance and…

PGA Tours Statistics The Professional Golfers Association (PGA) maintains data on performance and earnings for members of the PGA Tour. The top 125 players based on total earnings in PGA Tour events are exempt for the following season. Making the top 125 money list is important because a player who is “exempt” has qualified to be a full-time member of the PGA tour for the following season. Scoring average is generally considered the most important statistic in terms of success on the PGATour. To investigate the relationship between variables such as driving distance, driving accuracy, greens in regulation, sand saves, and average putts per round have on average score, year-end performance data for the 125 players who had the highest total earnings in PGA Tour events for 2008 are contained in the file named PGATour (PGA Tour website, 2009). Each row of the data set corresponds to a PGA Tour player, and the data have been sorted based upon total earnings. Descriptions for the variables in the data set follow. Money: Total earnings in PGA Tour events. Scoring Average: The average number of strokes per completed round. DrDist (Driving Distance): DrDist is the average number of yards per measured drive. On the PGA Tour driving distance is measured on two holes per round. Care is taken to select two holes which face in opposite directions to counteract the effect of wind. Drives are measured to the point at which they come to rest regardless of whether they are in the fairway or not. DrAccu (Driving Accuracy): The percentage of time a tee shot comes to rest in the fairway (regardless of club). Driving accuracy is measured on every hole, excluding par 3s. GIR (Greens in Regulation): The percentage of time a player was able to hit the green in regulation. A green is considered hit in regulation if any portion of the ball is touching the putting surface after the GIR stroke has been taken. The GIR stroke is determined by subtracting 2 from par (1st stroke on a par 3, 2nd on a par 4, 3rd on a par 5). In other words, a green is considered hit in regulation if the player has reached the putting surface in par minus two strokes. Sand Saves: The percentage of time a player was able to get “up and down” once in a greenside sand bunker (regardless of score). “Up and down” indicates it took the player 2 shots or less to put the ball in the hole from a greenside sand bunker. PPR (Putts Per Round): The average number of putts per round. Scrambling: The percentage of time a player missed the green in regulation but still made par or better. Managerial Report 1. To predict Scoring Average, develop estimated regression equations, first using DrDist as the independent variable and then using DrAccu as the independent variable. Which variable is the better predictor of Scoring Average? Discuss your findings. 2. Develop an estimated regression equation with GIR as the independent variable. Compare your findings with the results obtained using DrDist and DrAccu. 3. Develop an estimated regression equation with GIR and Sand Saves as the independent variables. Discuss your findings. 4. Develop an estimated regression equation with GIR and PPR as the independent variables. Discuss your findings. 5. Develop an estimated regression equation with GIR and Scrambling as the independent variables. Discuss your findings. 6. Compare the results obtained for the estimated regression equations that use GIR and Sand Saves, GIR and PPR, and GIR and Scrambling as the two independent variables. If you had to select one of these two-independent variable estimated regression equations to predict Scoring Average, which estimated regression equation would you use? Explain. 7. Develop the estimated regression equation that uses GIR, Sand Saves, and PPR to predict Scoring Average. Compare the results to an estimated regression equation that uses GIR, PPR, and Scrambling as the independent variables. 8. Develop an estimated regression equation that uses GIR, Sand Saves, PPR, and Scrambling to predict Scoring Average. Discuss your results.