Dalhousie University Business Model Building Worksheet and Questions: Statistics Answers 2021

Dalhousie University Business Model Building Worksheet and Questions: Statistics Answers 2021

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Dalhousie University Business Model Building Worksheet and Questions

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Model building
Sports Analytics is an important and growing application area of analytics. This data set constructs
regression models in two different sports, Golf and Baseball. To the extent that professional sports
are big business, the methods should be of interest to business students also.
Q1
Suppose that you have been hired by the commissioner of the PGA (Professional Golfers?
Association) Tour to analyze the data for a presentation to be made at the annual PGA Tour
meeting. The commissioner has asked whether it would be possible to use these data to
determine the performance measures that are the best predictors of a player?s average score.
The PGA Tour data contains following variables: Year, Player Name, Fairway Percentage, Avg
Distance (in yards), GIR (Greens in regulation ? a percentage), Average Putts, Average
Scrambling (a percentage), Money (prize money won in $US) and Average Score. The 2017 and
2018 data are collected, and 2017 data will be used as a training set. Use Minitab to answer the
following questions. (For parts a) to d) use the 2017 data only.)
a) Develop a scatter plot between Average Score and each predictor, using only the
2017 data. Identify nonlinear patterns in the scatter plots.
b) Apply a natural log transformation for Money, and store the transformed values in a
new column, ln(Money). Develop a scatter plot for Average Score against the new
variable ln(Money). Is there evidence of a relationship between the two variables?
c) Use best subset regression with Fairway Percentage, Avg Distance, GIR, Average Putts,
Average Scrambling and ln(Money) as candidate predictors. Obtain three models of
each size. (Set the number of models to print in the Options? menu of the Best subsets
procedure.) From the output, select a promising set of predictor variables to build a
multiple linear regression model to predict Average Score.
d) Based on the predictors selected in part c), develop the multiple linear regression
equation. Make sure to obtain residual plots, including plots against all the predictor
variables in the model, and store the standardized residuals, leverage values and Cook?s
distances.
e) Assess the model assumptions about the error terms and check the data set for outliers
and influential observations.
f) Duffer Jones is not included in the data set. His 2017 Fairway percentage was 53.94,
his Average distance was 301.17, GIR 68.09, Average putts 29.27, Average scrambling
56.18. In 2017 he earned $355,703.00. Find a point prediction and a prediction
interval for his Average score.
g) Use predictor values in 2018 data as input to predict the average score for all 192
golfers. (This is probably easiest to do in Excel, after you copy the Coefficients table and
any other data you need.) Calculate the forecast errors and the Mean Absolute error for
the estimated regression equation you developed in part c) and d).
Q2
Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball his
predicted RPG (runs per game) statistic takes into account the entire player?s offensive
statistics, and is claimed to be the best measure of a player?s true offensive value. The following
data show the RPG and a variety of offensive statistics for the 2005 Major League Baseball
(MLB) season for 20 members of the New York Yankees (USA Today website, March 3, 2006).
The labels on columns are defined as follows: RPG, predicted runs per game statistic; H, hits;
2B, doubles; 3B, triples; HR, home runs; RBI, runs batted in; BB, bases on balls (walks); SO,
strikeouts; SB, stolen bases; CS, caught stealing; OBP, on-base percentage; SLG, slugging
percentage; and AVG, batting average.
a. Develop an estimated regression equation to predict RPG by home runs (HR) and
stolen bases (SB). Develop an estimated regression equation using these four
independent variables.
b. Use the regression equation in part a) to predict the total RPG for a player who hit
30 home runs and had 30 stolen bases.
c. Consider adding three predictor variables to the model developed in part (a), for
doubles (2B), triples (3B), and the interaction between hits RBI. At the 0.05 level of
significance, test to see whether the addition of the three predictors contributed
significantly to the estimated regression equation developed in part (a). Which of these
three predictors are statistically significant individually? Are there any signs of
multicollinearity in this model?
d. Using all the variables available (including the interaction term you computed in part c)),
find the best one-variable estimated regression equation.
e. Develop a regression model for estimating a player?s RPG. (Use either step-wise
regression or best subsets.)
f. Obtain residuals plots and assess the standard assumptions for the regression model
in part e.
Year
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
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2018
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2018
2018
2018
Player Name Fairway Percentage
Avg Distance GIR
Henrik Stenson
75.19
291.5
Ryan Armour
73.58
283.5
Chez Reavie
72.24
286.5
Ryan Moore
71.94
289.2
Brian Stuard
71.44
278.9
Brian Gay
71.37
282.9
Kyle Stanley
71.29
295.7
Emiliano Grillo
70.16
295.2
Russell Henley
70.03
293
Jim Furyk
69.91
280.5
Steve Wheatcroft
69.79
288.9
Kevin Streelman
69.11
295.1
C.T. Pan
68.98
292.7
David Lingmerth
68.93
285.4
Keegan Bradley
67.9
299.6
Rafa Cabrera Bello 67.85
295.1
Billy Horschel
67.8
295.4
Russell Knox
67.7
291.7
Ben Crane
67.52
281.1
Vaughn Taylor
67.51
286.1
Brian Harman
67.14
291.9
Sam Ryder
66.91
297.3
Ted Potter, Jr.
66.83
286
Austin Cook
66.76
292.3
Tyler Duncan
66.74
294.4
David Hearn
66.63
285.1
Alex Cejka
66.49
286.7
Ian Poulter
66.41
293.6
Joel Dahmen
66.36
295.8
Kevin Kisner
66.33
290.8
J.J. Henry
66.22
291.8
J.J. Spaun
66.18
298.2
Justin Rose
66.02
303.5
Kelly Kraft
65.84
288.6
Conrad Shindler
65.77
291.3
Scott Piercy
65.68
296.6
Adam Hadwin
65.6
289.4
Ben Silverman
65.56
290.2
Satoshi Kodaira
65.53
293.6
Rickie Fowler
65.33
299.8
Xinjun Zhang
65.33
298.7
Pat Perez
65.09
290.9
73.51
68.22
68.67
68.8
67.12
64.52
71.09
68.84
68.77
63.19
66.57
71.56
71.2
63.03
69.18
70.16
71.75
69.57
64.88
67.02
67.59
72.08
63.03
66.51
69.65
68.89
63.77
67.01
68.82
65.38
70.52
69.48
69.95
63.83
66.27
69.72
68.04
64.95
60.3
69.52
67.04
67.78
Average Putts Average Scrambling
29.93
60.67
29.31
60.13
29.12
62.27
29.17
64.16
29.11
59.23
28.25
63.26
29.89
54.8
29.04
61.05
29.8
54.33
28.73
62.58
29.29
61.03
29.67
60.93
29.66
56.89
28.5
58.57
29.68
56.78
29.47
57.98
29.46
58.03
29.7
59.43
28.69
63
29.15
59.91
29.29
56.95
29.88
56.47
28.45
57.51
28.72
62.02
30.19
52.76
29.58
55.65
28.52
64
28.97
57.11
29.26
63.31
28.91
60.29
30.37
54.77
29.63
55.76
28.67
63.03
28.92
58.93
29.14
60
29.86
55.96
29.26
58.59
28.74
57.36
29.88
51.02
28.99
63.05
29.67
58.2
29.29
55.63
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
Lucas Glover
Richy Werenski
Hunter Mahan
Francesco Molinari
Fabi??n G??mez
Tommy Fleetwood
Graeme McDowell
Louis Oosthuizen
Chad Campbell
Blayne Barber
Michael Thompson
Chris Kirk
Daniel Berger
Hudson Swafford
Bronson Burgoon
Brice Garnett
Ryan Blaum
Johnson Wagner
Kevin Na
Zach Johnson
John Huh
James Hahn
Rod Pampling
Gary Woodland
Cameron Percy
Abraham Ancer
Ben Martin
Branden Grace
Denny McCarthy
Aaron Wise
Jason Dufner
Matt Kuchar
Martin Laird
Roberto D??az
Paul Casey
Corey Conners
Kyle Thompson
Troy Merritt
Andrew Landry
Hideki Matsuyama
Brandt Snedeker
Zac Blair
Danny Lee
65.06
65.06
65.04
65.04
64.99
64.98
64.92
64.81
64.7
64.67
64.66
64.64
64.58
64.57
64.53
64.45
64.31
64.25
64.13
63.88
63.83
63.73
63.69
63.69
63.66
63.64
63.52
63.49
63.45
63.33
63.3
63.27
63.22
63.2
63.14
62.99
62.99
62.93
62.92
62.82
62.79
62.76
62.65
297.7
291.8
296.9
301
291.1
306.9
293.2
299.8
286.5
294.7
296.4
289.8
297.7
302.8
302.8
296.7
289
286.1
289.6
289.8
287.1
298.7
288.4
313.5
295.6
296.1
289.6
298.9
295.4
302.9
297.1
288
299
286.3
304.3
303.3
285.3
295.4
291.1
302
293.1
279.5
290.6
67.12
66.97
68.96
70.24
67.86
69.36
64.5
65.74
65.54
69.98
70.11
68.24
66.89
68.99
68.44
66.78
66.1
67.87
64.66
67.43
65.8
68.29
62.64
70.51
69.56
66.49
63.98
67.1
68.17
68.81
64.24
66.81
65.9
63.73
67.84
70.19
62.44
65.16
65.63
69.29
65.04
66.48
65.05
29.64
29.36
29.02
29.63
29.38
29.3
29.2
29.24
29.75
29.66
29.62
28.9
29.42
30.03
29.55
29.34
29.13
28.65
28.07
28.62
28.82
29.5
29.31
29.93
29.36
28.91
28.58
29.34
29.41
29.15
29.58
28.85
28.83
29.21
29.07
29.84
29.61
28.74
28.96
29.21
28.63
28.97
28.56
59.83
56.49
58.81
58.67
58.85
55.77
59.95
64.26
59.39
57.46
55.77
63.53
58.94
54.01
55.61
58.63
55.46
65.41
63.62
62.35
57.94
59.62
56.67
54.45
57.3
62.69
58.8
57.78
59.83
56.28
58.25
63.6
59.15
58.56
60.58
57.52
54.02
57.6
56.97
60.8
60.08
61.43
60.81
2018
2018
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2018
2018
2018
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2018
2018
2018
2018
2018
2018
2018
2018
Charles Howell III
Adam Scott
Tom Hoge
Webb Simpson
Chris Stroud
Bryson DeChambeau
Jonathan Randolph
Rory Sabbatini
Scott Brown
Tyrrell Hatton
Alex Noren
Patrick Cantlay
Jordan Spieth
J.T. Poston
Kevin Chappell
Shane Lowry
Patrick Rodgers
Whee Kim
Nick Taylor
Bud Cauley
Si Woo Kim
Nate Lashley
Beau Hossler
D.A. Points
Brendan Steele
Nicholas Lindheim
Andrew Putnam
Jonas Blixt
Ethan Tracy
Byeong Hun An
Marc Leishman
Sam Saunders
Anirban Lahiri
Sean O?Hair
Chesson Hadley
Mackenzie Hughes
William McGirt
Xander Schauffele
Dustin Johnson
Matt Jones
Tiger Woods
Billy Hurley III
Jon Rahm
62.59
62.51
62.43
62.34
62.24
62.23
62.18
62.05
62.03
61.84
61.73
61.58
61.55
61.53
61.27
61.2
61.14
61.11
60.94
60.81
60.68
60.58
60.47
60.47
60.47
60.44
60.42
60.3
60.25
60.19
60.17
60.14
60.09
60.09
60.07
60.04
59.89
59.77
59.46
59.38
59.35
59.24
59.2
300.9
304.6
291.4
293.7
289.8
305.7
289.4
292.3
292.6
298.8
299.2
303.1
299.8
300.7
308.6
300.7
303.5
285.8
292.7
295.4
290.8
293.9
300
280.8
310.3
293.5
293.8
293.1
299
307.9
298.5
302.8
294
302.7
300
294.9
289.3
304.9
314
304.5
303.6
284
308.9
69.33
70.66
63.62
67.93
62.94
69.65
60.43
67.85
65.65
66.46
64.91
70.69
70.47
68.31
66.52
68.65
65.65
63.55
67.65
64.26
63.78
68.2
67.95
60.2
69.24
68.04
70.47
62.02
64.87
67.99
66.67
65.02
64.7
63.84
67.68
66.01
67.59
65.59
70.57
66.49
67.4
63.02
70.12
29.5
30.15
28.45
28.47
28.78
29.18
28.63
29.07
29.1
29.2
28.97
29.8
29.09
29.07
29.64
30.04
29.1
28.7
29.48
28.58
29
29.32
28.92
29.1
30.36
29.25
29.36
29.1
29.44
29.31
28.94
28.73
28.99
28.97
28.99
29.37
29.28
29.18
28.47
29.02
28.49
29.09
29.14
60.87
54.85
61.41
66.1
59.96
59.84
59.83
61.36
54.79
62.58
61.74
57.58
61.63
57.53
56.28
53.48
57.22
58.56
61.83
60.12
57.23
60.59
60
53.32
52.56
53.9
61.52
56.83
54.88
61.16
59.07
55.79
58.35
57.56
56.6
54.19
62.86
57.81
62.5
60.16
64.16
54.93
57.18
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
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2018
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2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
2018
Ryan Palmer
59.11
Harold Varner III
59.02
Harris English
58.99
Greg Chalmers
58.9
Stephan Jaeger
58.76
Jonathan Byrd
58.59
Keith Mitchell
58.59
Martin Piller
58.51
Justin Thomas
58.41
Brett Stegmaier
58.38
Charley Hoffman
58.34
Jason Day
58.32
Bubba Watson
58.27
Jason Kokrak
58.06
Jhonattan Vegas
57.91
Adam Schenk
57.67
Stewart Cink
57.6
Matt Atkins
57.5
Talor Gooch
57.31
Bill Haas
57.27
J.B. Holmes
57.13
Cameron Smith
57.03
Tyrone Van Aswegen 56.98
Jamie Lovemark
56.92
Peter Malnati
56.86
Brooks Koepka
56.85
Sung Kang
56.72
Scott Stallings
56.57
Shawn Stefani
56.52
Robert Garrigus
56.37
Nick Watney
56.33
Rob Oppenheim
56.26
Grayson Murray
56
Rory McIlroy
55.79
Dominic Bozzelli
55.69
Patton Kizzire
55.59
Matt Every
55.5
Cody Gribble
55.45
Wesley Bryan
55.41
Lanto Griffin
55.27
Retief Goosen
55.22
Seamus Power
55.19
Charl Schwartzel
55.19
305.2
308.2
302.4
282.8
299.2
291.7
312.6
292.2
311.8
295.4
299.5
310
313.1
309.5
303.6
305.5
298.1
301.4
298.9
296.2
306.1
298.4
290.3
303.2
290.9
313.4
293.1
299.7
299.6
307.9
307.5
285.2
307.3
319.7
297
298.7
294.2
301
280.4
302.5
296.2
302.6
299.5
65.61
67.79
63.32
56.94
67.11
68.19
69.42
60.39
68.77
70.31
66.53
65.28
68.21
70.37
65.17
67.92
68.58
63.46
63.58
64.79
65.26
63.18
65.23
64.65
62.99
68.28
63.2
65.62
67.49
65.28
67.96
64.05
62.5
66.3
60.94
69.04
64.59
62.48
61.28
67.42
61.75
65.17
61.11
28.92
29.56
28.76
28.31
29.61
29.5
29.65
28.52
28.33
29.48
29.19
28.24
29.33
29.59
29.43
29.95
29.53
29.12
28.94
29.23
29.01
28.36
28.98
28.64
28.07
28.76
29.24
29.14
29.27
29.2
29.26
28.91
28.94
28.46
28.18
29.53
29.24
28.88
28.1
29.42
29.12
28.68
28.74
55.38
58.14
57.86
52.85
56.76
58.31
56.55
57.74
62.47
56.44
56.22
62.35
56.64
55.11
58.6
54.55
55.69
57.6
59.53
60.34
57.14
61.12
58.08
61.07
61.3
63.28
52.4
60.86
58.43
56.84
55.68
59.55
54.32
62.97
58.86
55.24
52.51
53.3
60.17
55.76
56.98
63.8
57.88
2018
2018
2018
2018
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2018
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2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
Patrick Reed
Tony Finau
Trey Mullinax
Martin Flores
Michael Kim
Brandon Harkins
Zecheng Dou
Tom Lovelady
Daniel Summerhays
Luke List
Robert Streb
Andrew Yun
Jimmy Walker
Aaron Baddeley
Derek Fathauer
Peter Uihlein
Phil Mickelson
Kevin Tway
Ollie Schniederjans
Cameron Tringale
Ricky Barnes
Ryan Armour
Boo Weekley
Brian Stuard
Jim Furyk
Chez Reavie
William McGirt
Francesco Molinari
Zac Blair
S??ren Kjeldsen
Graeme McDowell
Jim Herman
Ken Duke
Kyle Stanley
Vaughn Taylor
Steve Wheatcroft
Ben Crane
Ryan Moore
Spencer Levin
Steven Alker
Chad Campbell
Alex Cejka
Russell Knox
55.11
55.09
54.94
54.92
54.89
54.79
54.76
54.73
54.69
54.66
54.11
53.58
53.49
53.27
53.27
52.93
52.91
52.61
52.22
51.99
47.15
72.73
71.67
71.49
70.75
70.53
70.06
69.8
69.7
69.21
69.15
69.02
68.62
68.55
68.28
68.24
67.97
67.9
67.82
67.54
67.21
67.19
67.09
298.1
315.1
318.3
300
289.9
303.1
291.9
315.9
287.1
314.6
292.6
290.6
299
295.3
289.1
302.2
300.3
310.1
301.4
289.3
290.6
278.8
289.9
272.3
270.1
284.8
284.8
291.9
272.7
273.6
279
292.5
274.2
296.5
282.4
280.5
278.5
288
279
276.9
285.6
282.1
288

63.57
70.18
65.38
66.34
60.63
65.67
63.72
67.08
56.79
68.36
64.94
61.85
61.9
63.39
60.35
67.88
64.88
66.88
62.77
65.52
63.75
69.96
68.65
63.59
65.72
66.91
67.23
67.22
64.7
62.02
62.55
68.07
63.69
70.39
66.67
60.99
65.68
65.05
65.56
65.17
69.07
66.45
66.58
28.33
29.03
29.13
29.36
28.54
28.86
30
29.56
27.82
29.45
29.51
30.2
28.34
28.85
28.46
29.41
28.11
29.15
28.44
29.81
28.25
29.88
30.29
28.92
29.36
28.64
29.61
28.91
28.87
29
28.2
29.77
29.38
29.63
29
28.51
29.13
29.04
29.38
29.14
29.51
29.51
29.35
62.94
57.22
54.42
54.89
56.05
55.88
51.56
52.08
54.86
58.41
52.89
44.01
59.09
61.09
54.99
57.87
58.36
56.77
56.95
55.24
57.4
58.31
56.31
57.99
61.03
63.28
57.08
62.95
65.5
51.64
58.52
56.15
56.47
58.35
60.52
63.64
59.02
56.74
61.1
59.75
64.63
61.08
57.46
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
Kevin Kisner
67
David Hearn
66.75
Zach Johnson
66.54
Keegan Bradley
66.23
K.J. Choi
66.23
Roberto Castro
66.2
Kevin Streelman
66.01
Richy Werenski
65.92
D.A. Points
65.83
Chris Stroud
65.7
Tim Wilkinson
65.68
Webb Simpson
65.51
Brian Gay
65.47
Matt Kuchar
65.36
Lucas Glover
65.31
Emiliano Grillo
65.29
Kyle Reifers
65.15
J.J. Spaun
65.11
Rory Sabbatini
64.91
Shane Lowry
64.86
Martin Laird
64.82
Rick Lamb
64.81
Sam Saunders
64.69
Brett Stegmaier
64.66
John Huh
64.09
Chris Kirk
63.93
Scott Brown
63.89
Graham DeLaet
63.68
C.T. Pan
63.68
Jason Bohn
63.67
Ben Martin
63.67
Miguel Angel Carballo63.61
Paul Casey
63.46
Hunter Mahan
63.4
Juli??n Etulain
63.34
Jason Dufner
63.3
Rickie Fowler
63.29
Johnson Wagner
63.18
James Hahn
63.14
Peter Malnati
63.1
Adam Hadwin
62.85
Russell Henley
62.79
Danny Lee
62.72
288.7
281
286.8
299.4
282.2
280.2
294
291.2
278.1
286.8
279.5
286.2
278.7
285.1
298.1
293
286.1
291.5
291.6
295.1
296.1
298
293.6
288.7
287.1
287
289
301.1
287.1
275.9
291.7
288.1
297
294.5
293.5
294.5
300.5
288.1
293.9
282.3
290.7
297.6
291.1
66.43
64.71
64.16
68.93
63.05
63.89
66.67
67.42
66.83
66.2
63.98
65.26
63.53
66.6
70.08
67.06
65.97
67.12
67.35
67.53
65.61
66.89
65.24
66.74
65.78
66.73
64.35
68.57
67.53
63.15
66.6
64.91
69.96
64.55
66.75
67.15
66.98
66.93
66.09
62.48
64.89
67.32
66.1
28.79
29.07
28.52
29.36
28.97
29.5
29.47
29.31
29.56
29.03
28.67
28.52
28.32
28.7
29.52
29.28
29.73
29.35
29.34
29.53
28.92
29.44
28.63
29.97
29
29.18
28.69
29.41
29.74
29.39
29.25
29.6
29.02
29.58
29.13
29.21
28.32
29.54
29.36
28.4
28.43
28.99
28.81
62.5
61.85
60.08
59.49
60.36
60.14
60.04
60.6
55.67
59.33
62.77
65.15
62.3
65.78
60.13
56.55
58.44
59.14
58.38
55.51
60.94
54.03
58.45
50.11
63.65
54.73
59.08
56.51
60.29
57.11
58.53
54.72
64.52
58.06
58.62
57.72
62.85
55.73
60.58
61.5
63.47
57.22
55.43
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
Daniel Summerhays 62.69
Jonathan Randolph 62.67
Geoff Ogilvy
62.59
J.J. Henry
62.58
Ian Poulter
62.55
Brendan Steele
62.28
David Lingmerth
62.12
Brian Harman
62.07
Brandt Snedeker
61.98
Fabi??n G??mez
61.81
Michael Thompson 61.72
Nick Taylor
61.66
Blayne Barber
61.62
Patrick Cantlay
61.47
Pat Perez
61.46
Sergio Garcia
61.08
Ryan Blaum
60.94
Rod Pampling
60.83
Troy Merritt
60.79
Brett Drewitt
60.73
Billy Hurley III
60.57
Shawn Stefani
60.53
Kevin Na
60.46
Mark Hubbard
60.41
Morgan Hoffmann 60.39
Rafa Cabrera Bello 60.33
Hudson Swafford
60.27
Cameron Percy
60.18
Jonas Blixt
60.1
Kelly Kraft
60.06
Daniel Berger
60.02
Louis Oosthuizen
59.98
Mark Anderson
59.97
Sean O?Hair
59.91
Bud Cauley
59.83
Anirban Lahiri
59.82
Greg Chalmers
59.8
Billy Horschel
59.8
Tyrone Van Aswegen 59.79
Michael Kim
59.71
Sung Kang
59.65
Mackenzie Hughes 59.63
Harold Varner III
59.61
286.9
287.2
286.5
294.1
283.5
299.9
289.8
289.6
280.8
285.1
284.8
291.6
291.2
298.9
290.6
300.9
284.1
287.8
289.8
286.4
276.9
294
283.6
282.7
293.9
291
305.1
292.5
288.8
291.9
296.5
295.2
283.8
297.2
296
297
278
299.5
287.2
289.6
296.4
294.3
302.4
63.02
62.71
65.51
69.44
64.46
67.29
62.83
63.19
66.06
64.69
63.69
66.14
67.61
69.21
66.04
69.73
65.28
64.01
64.71
64.78
63.61
67.48
65.46
65.39
63.57
62.6
68.21
69.91
61.51
63.15
66.93
65.13
65.6
66.19
67.38
63.43
59.86
68.19
66.38
65.68
66.07
64.74
67.68
28.97
28.9
29.29
30.42
28.44
29.4
28.15
28.3
28.5
29.15
28.88
29.38
29.08
29.19
28.66
29.38
28.82
29.97
28.88
29.36
28.76
29.28
28.79
29.5
28.81
28.8
29.49
29.78
28.16
29.32
28.73
28.91
29.13
29.06
29.24
28.6
28.17
29.86
29.36
28.96
29.08
29.07
29.69
56.76
56.82
60.85
56.66
67.36
60.51
58.53
62.74
64.06
58.67
58.74
61.83
55.8
60.15
63.38
61.39
60
52.83
58.51
59.23
58.78
59.55
62.06
58.57
60.14
60.74
55.53
60.23
58.56
53.5
62.8
62.91
61.18
57.52
59.21
55.06
59.26
54.47
58.94
58.81
56.98
58.64
56.94
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
2017
Bubba Watson
Robert Garrigus
Jordan Spieth
Scott Piercy
Chad Collins
Jason Kokrak
J.T. Poston
Gary Woodland
Jon Rahm
Justin Rose
Brian Campbell
Branden Grace
Tag Ridings
Cameron Tringale
Bill Haas
Bryson DeChambeau
Wesley Bryan
Retief Goosen
Charley Hoffman
Xander Schauffele
Marc Leishman
Kevin Chappell
Hideki Matsuyama
Bryce Molder
Robert Streb
Tony Finau
Jhonattan Vegas
Matt Jones
Scott Stallings
Ryan Palmer
Byeong Hun An
Dominic Bozzel?

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