Thursday, October 31, 2019

Expected Ground Ball Rates

We know that pitchers have some sort of control over their ground ball rates. We also know two-seamers and sinkers (often thought of as the same pitch) tend to induce ground balls. Noted relief maestros such as Zack Britton, Jordan Hicks, and Taylor Rogers have been some of the most successful relief pitchers in MLB on the back of their respective sinkers. Similarly, pitchers such as Dallas Keuchel, Luis Castillo, and Marcus Stroman have leveraged their sinking fastballs to achieve a great deal of pitching notoriety.

In general, if a pitcher has a mix that features a heavy dose of sinkers and two-seamers, we accept that those pitchers are looking to get outs via the ground ball (as opposed to those who use high spin four-seamers and breaking pitches looking to induce strikeouts). But this sort of analysis seems a bit too black and white for my taste. As a result, I wanted to look and see if there was any way to look at a particular pitch and predict if that pitch will induce a ground ball. If I could predict the chance of a single pitch being a ground ball, then I could also look at a single pitcher's pitches and predict his ground ball rate based purely on the types of pitches he throws and where he throws his pitches.

I created a generalized linear model with the following parameters: horizontal pitch location, vertical pitch location, horizontal pitch movement, vertical pitch movement and pitch speed. I then regressed these variables against whether or not the pitch at hand generated a ground ball. I filtered the Statcast data by choosing only pitches that resulted in batted ball events, and trained the model on a sample of about 27,000 pitches from the 2019 season. I then tested the data on the rest of the batted balls from the 2019 regular season. Here are the overall results of the model:



I then took this data and constructed an expected ground ball rate for all pitchers with at least 10 innings pitched this season. Here is the relationship between my derived expected ground ball rate for all the pitchers in the sample versus their actual ground ball rates:



This relationship yields a coefficient of determination (the r-squared value) of .3052. Definitely not a totally robust fit, but I still think it can tell us something about a hurler's pitch-by-pitch tendencies. Furthermore, I looked into which pitchers over-performed and under-performed their expected ground ball rates over the course of the season. Here are the over-performers:



Considering Zack Britton is in a class of his own with regards to his actual ground ball rate (around 77%), it is no surprise that he exceeds his expected ground ball rate the most out of any pitcher in MLB. Hyun-Jin Ryu had an excellent season in 2019, which no doubt was buoyed by his fantastic ground ball rate. Dallas Keuchel, noted ground ball enthusiast, also pops up here. Now, let's look at the pitchers who under-performed their expected ground ball rates the most:


Craig Kimbrel had a horrid season and his batted ball tendencies allowed is definitely one of the aspects of his performance to blame. Josh Hader, one of the most dominant pitchers in the sport, also shows up. Getting ground balls can help a pitcher be successful, but if a pitcher can keep many batted balls from being put in play, he can still be prolific, as Hader shows.

This is obviously an imperfect way to evaluate pitchers. For one, pitchers do not have total control of their allowed batted ball tendencies. Also, the fit between expected ground balls and actual ground balls is not perfect. However, I think this can be a useful jumping off point for public analysts to try to refine their approach in looking at pitcher ground ball tendencies.

Below is table with all of my results. Feel free to poke around and look for your favorite players:

pitcher ground_balls xground_balls gb_rate xgb_rate diff
Zack Britton 102 73.71024907 0.766917293 0.554212399 0.212704894
Eric Yardley 51 38.44496948 0.739130435 0.557173471 0.181956964
Richard Bleier 109 79.95796485 0.630057803 0.462184768 0.167873036
Yefry Ramirez 38 27.75206949 0.584615385 0.426954915 0.157660469
Hyun-Jin Ryu 261 187.5978275 0.544885177 0.391644734 0.153240444
Oliver Drake 76 54.53975785 0.539007092 0.386806793 0.152200299
Blaine Hardy 52 35.96992979 0.472727273 0.326999362 0.145727911
Brent Suter 29 19.93101816 0.46031746 0.316365368 0.143952093
Dallas Keuchel 201 151.4617618 0.582608696 0.439019599 0.143589096
Gio Gonzalez 114 81.81628954 0.502202643 0.360424183 0.14177846
Ranger Suarez 102 77.5105095 0.589595376 0.448037627 0.141557749
Wade Miley 233 169.3556848 0.504329004 0.366570746 0.137758258
Jose Alvarez 91 67.63125228 0.535294118 0.397830896 0.137463222
Jake Jewell 64 50.05673581 0.62745098 0.490752312 0.136698669
Johnny Cueto 35 26.42781948 0.555555556 0.419489198 0.136066357
Tyler Webb 63 42.78719474 0.422818792 0.287162381 0.135656411
Alex Claudio 102 78.47881602 0.582857143 0.448450377 0.134406766
Tyler Rogers 45 36.32558028 0.671641791 0.54217284 0.129468951
Aaron Bummer 127 103.9763614 0.713483146 0.584136862 0.129346284
Clayton Kershaw 212 156.6032851 0.490740741 0.362507604 0.128233136
Austin Pruitt 73 56.83107215 0.57480315 0.447488757 0.127314393
Francisco Liriano 94 72.78583625 0.556213018 0.430685422 0.125527596
Dillon Tate 44 35.21621781 0.628571429 0.503088826 0.125482603
Chad Bettis 106 84.32652141 0.602272727 0.479127963 0.123144765
Taylor Williams 38 30.51193544 0.62295082 0.500195663 0.122755157
Ryan Yarbrough 187 139.4074928 0.452784504 0.337548409 0.115236095
Rich Hill 68 53.1732426 0.523076923 0.409024943 0.11405198
Nick Margevicius 53 39.96109164 0.460869565 0.347487753 0.113381812
Ross Detwiler 152 119.9628947 0.525951557 0.415096522 0.110855035
Logan Allen 49 38.55340196 0.515789474 0.405825284 0.10996419
Kyle Ryan 89 72.6378477 0.593333333 0.484252318 0.109081015
Brett Anderson 284 229.562704 0.566866267 0.45820899 0.108657277
Sean Newcomb 87 69.51066944 0.527272727 0.421276784 0.105995943
Rowan Wick 49 39.48748391 0.544444444 0.438749821 0.105694623
Brock Burke 41 32.50608605 0.50617284 0.401309704 0.104863135
Jimmy Cordero 75 62.63105177 0.630252101 0.526311359 0.103940741
Kyle Hendricks 206 157.4852716 0.436440678 0.333655236 0.102785442
Nick Ramirez 100 78.32801266 0.46728972 0.366018751 0.101270969
Tyler Mahle 167 134.7061595 0.520249221 0.419645357 0.100603864
Adam Kolarek 104 88.23916755 0.658227848 0.558475744 0.099752104
Jon Duplantier 52 42.45840341 0.541666667 0.442275035 0.099391631
Patrick Corbin 231 188.6622929 0.531034483 0.43370642 0.097328062
Framber Valdez 121 101.9680499 0.617346939 0.520245153 0.097101786
Patrick Sandoval 54 42.96335171 0.473684211 0.376871506 0.096812704
Michael Wacha 168 134.2556599 0.48 0.3835876 0.0964124
Mark Melancon 119 99.42209841 0.583333333 0.487363227 0.095970106
Jace Fry 67 55.89868334 0.572649573 0.477766524 0.094883048
Mike Morin 69 53.26991275 0.413173653 0.318981513 0.094192139
Matthew Bowman 63 52.65249649 0.572727273 0.478659059 0.094068214
Wade LeBlanc 145 113.3913537 0.426470588 0.333503982 0.092966607
Cy Sneed 29 23.16455127 0.46031746 0.36769129 0.09262617
Joey Lucchesi 184 149.619028 0.481675393 0.391672848 0.090002544
Jacob Barnes 46 38.26567615 0.534883721 0.444949723 0.089933998
Justin Wilson 51 42.26531359 0.504950495 0.418468451 0.086482044
Adam Wainwright 250 207.4125555 0.506072874 0.419863473 0.086209402
Jason Vargas 183 143.8469508 0.402197802 0.316147145 0.086050658
Ross Stripling 110 91.46902588 0.5 0.415768299 0.084231701
Amir Garrett 71 60.6554069 0.572580645 0.489156507 0.083424138
Matt Harvey 51 41.09081476 0.428571429 0.345300964 0.083270464
Marco Gonzales 257 206.5483323 0.424092409 0.340838832 0.083253577
Antonio Senzatela 236 200.9900664 0.555294118 0.472917803 0.082376314
Zac Grotz 32 27.7913666 0.615384615 0.534449358 0.080935258
Andrew Cashner 195 163.2036207 0.494923858 0.414222388 0.08070147
Matt Shoemaker 28 23.45700423 0.49122807 0.41152639 0.07970168
Tyler Olson 37 31.02805421 0.493333333 0.413707389 0.079625944
Joe Kelly 75 65.64143388 0.63559322 0.556283338 0.079309882
Wandy Peralta 61 52.30872963 0.54954955 0.471249817 0.078299733
Kyle Gibson 219 187.5479161 0.544776119 0.466537105 0.078239015
Cole Hamels 160 133.6179372 0.469208211 0.391841458 0.077366753
Paul Fry 80 69.48191136 0.575539568 0.499869866 0.075669702
Max Fried 234 201.7072472 0.548009368 0.472382312 0.075627056
Jalen Beeks 140 117.8085304 0.474576271 0.399350951 0.075225321
Alex Young 149 127.0000228 0.506802721 0.431972867 0.074829854
Reggie McClain 51 44.71824821 0.607142857 0.532360098 0.074782759
Jake Faria 35 29.44893878 0.466666667 0.392652517 0.07401415
T. J. McFarland 111 98.08054168 0.623595506 0.551014279 0.072581226
Taylor Cole 79 67.61872273 0.503184713 0.430692501 0.072492212
Jeremy Hellickson 27 22.69854747 0.45 0.378309125 0.071690875
Daniel Ponce de Leon 54 45.69170018 0.461538462 0.390527352 0.07101111
Erik Swanson 58 48.45528773 0.426470588 0.35628888 0.070181708
Brett Martin 93 81.11457008 0.547058824 0.47714453 0.069914294
Sean Manaea 46 38.88384214 0.446601942 0.37751303 0.069088911
Taylor Rogers 81 70.70723579 0.536423841 0.46825984 0.068164001
Austin Davis 27 23.32142822 0.5 0.4318783 0.0681217
Tommy Milone 121 99.22220391 0.374613003 0.307189486 0.067423517
Brandon Workman 72 63.40350522 0.5625 0.495339885 0.067160115
Tyler Anderson 21 17.4531658 0.396226415 0.329305015 0.0669214
Robbie Erlin 66 56.83113311 0.47826087 0.411819805 0.066441064
Kolby Allard 77 65.95123259 0.461077844 0.39491756 0.066160284
Kyle Freeland 153 132.7238005 0.498371336 0.432325083 0.066046252
Eduardo Rodriguez 281 244.2982413 0.501785714 0.43624686 0.065538855
Nick Vincent 46 38.51268542 0.4 0.334892917 0.065107083
Pedro Strop 53 46.56503749 0.535353535 0.470353914 0.064999621
Emmanuel Clase 47 42.02241232 0.61038961 0.545745615 0.064643996
Sam Gaviglio 134 116.8458714 0.498141264 0.434371269 0.063769995
Kevin McCarthy 118 105.0643293 0.575609756 0.512508923 0.063100833
Derek Holland 99 84.70039147 0.434210526 0.371492945 0.062717581
Steven Matz 230 200.8131551 0.493562232 0.430929517 0.062632714
CC Sabathia 107 92.00291337 0.436734694 0.375522095 0.061212598
Jose Quintana 228 197.8240906 0.454183267 0.394071894 0.060111373
Elieser Hernandez 83 69.11285796 0.356223176 0.296621708 0.059601468
Tim Melville 50 43.64364993 0.462962963 0.40410787 0.058855093
Mike Montgomery 134 118.3423199 0.501872659 0.443229663 0.058642997
Clay Buchholz 79 68.4061972 0.436464088 0.377934791 0.058529297
Anthony Bass 73 65.16046466 0.540740741 0.482670109 0.058070632
Luis Avilan 39 34.25219073 0.469879518 0.412676997 0.057202521
James Marvel 54 48.40267624 0.551020408 0.49390486 0.057115549
Brandon Kintzler 75 67.33626348 0.555555556 0.498787137 0.056768419
Dereck Rodriguez 133 115.7247454 0.434640523 0.378185442 0.05645508
Fernando Rodney 63 55.9666094 0.504 0.447732875 0.056267125
Dakota Hudson 253 228.40447 0.575 0.519101068 0.055898932
Pedro Payano 33 29.17956702 0.471428571 0.416850957 0.054577614
Collin McHugh 71 62.35752436 0.446540881 0.392185688 0.054355193
Justus Sheffield 61 54.79266794 0.516949153 0.464344644 0.052604509
David Hale 65 58.33941449 0.5078125 0.455776676 0.052035824
John Gant 73 65.46759169 0.503448276 0.451500632 0.051947644
Junior Guerra 106 94.03729601 0.456896552 0.405333172 0.051563379
Jose Alvarado 31 28.15591654 0.553571429 0.502784224 0.050787205
Tanner Rainey 55 50.10178796 0.56122449 0.511242734 0.049981756
Anthony Swarzak 73 65.42870683 0.480263158 0.430452019 0.049811139
Jesse Biddle 38 33.87100065 0.457831325 0.408084345 0.04974698
Sonny Gray 202 182.4788536 0.512690355 0.463144298 0.049546057
Travis Lakins 39 35.3421899 0.52 0.471229199 0.048770801
Jordan Romano 31 27.99036904 0.5 0.451457565 0.048542435
Martin Perez 259 233.5257455 0.488679245 0.440614614 0.048064631
Yusmeiro Petit 66 56.72741589 0.335025381 0.287956426 0.047068955
Dylan Bundy 172 153.4420267 0.421568627 0.376083399 0.045485229
Gregory Soto 78 71.28983292 0.52 0.475265553 0.044734447
Clayton Richard 87 80.0054023 0.554140127 0.50958855 0.044551578
Alec Mills 43 38.96707602 0.462365591 0.419000817 0.043364774
Clay Holmes 82 76.24599412 0.602941176 0.56063231 0.042308867
Tyson Ross 44 40.40075708 0.511627907 0.469776245 0.041851662
Jon Lester 212 191.9317158 0.438016529 0.396553132 0.041463397
Mike Soroka 222 204.3791031 0.518691589 0.477521269 0.04117032
Matt Andriese 87 79.80332371 0.494318182 0.453427976 0.040890206
Tim Hill 66 61.38706182 0.578947368 0.538482998 0.04046437
Adam Morgan 25 22.75944988 0.446428571 0.406418748 0.040009824
Brad Keller 214 197.6102122 0.518159806 0.47847509 0.039684716
Miles Mikolas 256 235.9753154 0.497087379 0.458204496 0.038882883
Matt Grace 62 57.26177275 0.496 0.458094182 0.037905818
Derek Law 85 78.70356821 0.505952381 0.46847362 0.037478761
Chase Anderson 139 125.2812902 0.377717391 0.340438289 0.037279103
Andrew Suarez 49 45.45270959 0.494949495 0.459118279 0.035831216
Anibal Sanchez 184 168.2937991 0.414414414 0.379040088 0.035374326
Brian Flynn 45 41.58845794 0.463917526 0.428746989 0.035170537
Yoshihisa Hirano 62 57.31541684 0.462686567 0.427726991 0.034959576
Luke Weaver 53 49.10441554 0.469026549 0.43455235 0.034474199
Mike Fiers 199 182.379309 0.412008282 0.377596913 0.034411369
Brandon Brennan 57 53.62111154 0.575757576 0.541627389 0.034130187
Chad Sobotka 31 28.77168636 0.46969697 0.435934642 0.033762328
Tayler Scott 40 37.71441367 0.588235294 0.55462373 0.033611564
Adam Cimber 98 92.12355895 0.56 0.526420337 0.033579663
Luis Cessa 103 96.16592775 0.502439024 0.469102087 0.033336938
Julio Urias 81 74.46873414 0.407035176 0.374214744 0.032820431
Mike Minor 203 187.7954579 0.431914894 0.399564804 0.03235009
Diego Castillo 94 88.75965058 0.56969697 0.537937276 0.031759693
Buddy Boshers 31 28.97092876 0.484375 0.452670762 0.031704238
Daniel Norris 167 155.4673801 0.445333333 0.41457968 0.030753653
Tommy Kahnle 65 61.16479187 0.511811024 0.481612534 0.030198489
Marcus Stroman 270 255.088264 0.536779324 0.507133726 0.029645598
Dan Otero 47 44.28909033 0.5 0.471160535 0.028839465
J. A. Happ 160 148.8557101 0.413436693 0.384640078 0.028796615
Anthony DeSclafani 204 191.3817332 0.463636364 0.434958484 0.028677879
Roberto Osuna 60 55.92584851 0.413793103 0.385695507 0.028097596
Victor Alcantara 65 61.88417168 0.580357143 0.552537247 0.027819896
Oliver Perez 46 43.16433011 0.450980392 0.423179707 0.027800685
Jacob deGrom 190 178.88714 0.475 0.44721785 0.02778215
Colten Brewer 79 75.00051154 0.544827586 0.517244907 0.027582679
Jon Gray 197 186.9054963 0.533875339 0.50651896 0.027356379
Luis Perdomo 130 123.5394064 0.539419087 0.512611645 0.026807442
Carlos Martinez 76 72.4238087 0.550724638 0.524810208 0.02591443
Dylan Floro 65 61.4661002 0.474452555 0.448657666 0.025794889
Homer Bailey 194 182.8082805 0.444954128 0.419285047 0.025669081
Shane Bieber 230 216.7582192 0.444874275 0.419261546 0.025612729
Drew VerHagen 94 89.4806402 0.522222222 0.497114668 0.025107554
Jefry Rodriguez 46 43.55973405 0.469387755 0.444487082 0.024900673
Rick Porcello 195 182.8593084 0.397959184 0.373182262 0.024776922
Mitch Keller 60 56.43635022 0.402684564 0.378767451 0.023917113
Peter Lambert 137 130.514311 0.475694444 0.453174691 0.022519753
Ryan Tepera 30 28.62660695 0.491803279 0.469288638 0.02251464
Adrian Houser 177 169.7490724 0.541284404 0.519110313 0.022174091
Will Smith 57 54.10912231 0.435114504 0.413046735 0.022067769
Aaron Nola 241 230.9177416 0.526200873 0.504187209 0.022013665
Zach Davies 183 173.4584288 0.414965986 0.39332977 0.021636216
Tim Mayza 59 56.37990468 0.483606557 0.462130366 0.021476191
Jose Quijada 28 26.46215499 0.368421053 0.34818625 0.020234803
Wes Parsons 51 49.06126789 0.53125 0.511054874 0.020195126
Lucas Giolito 139 132.1876654 0.386111111 0.36718796 0.018923152
Felix Hernandez 95 91.28539215 0.482233503 0.463377625 0.018855877
Juan Nicasio 57 54.71760283 0.467213115 0.448504941 0.018708173
Casey Sadler 79 76.23584683 0.533783784 0.515107073 0.018676711
Richard Rodriguez 74 70.76868638 0.413407821 0.39535579 0.018052031
Robert Dugger 39 37.40209343 0.433333333 0.415578816 0.017754517
John Means 129 121.5250155 0.3 0.282616315 0.017383685
Matt Strahm 114 109.2570396 0.413043478 0.395858839 0.017184639
Tyler Chatwood 85 82.16536069 0.515151515 0.497971883 0.017179632
Logan Webb 72 69.39811434 0.473684211 0.456566542 0.017117669
Felix Pena 96 92.468579 0.457142857 0.440326567 0.01681629
Josh Taylor 51 49.09450194 0.447368421 0.430653526 0.016714895
Tony Watson 72 69.54933032 0.483221477 0.466774029 0.016447447
Luke Jackson 90 87.40918204 0.566037736 0.549743283 0.016294453
Eric Lauer 167 160.6628595 0.407317073 0.391860633 0.01545644
Yusei Kikuchi 228 220.294814 0.439306358 0.424460143 0.014846216
Edinson Volquez 32 31.13450168 0.507936508 0.494198439 0.013738069
Stephen Strasburg 245 238.6091179 0.517970402 0.504459023 0.013511379
Dillon Peters 112 108.2112806 0.390243902 0.37704279 0.013201113
Corey Kluber 35 34.03571206 0.448717949 0.436355283 0.012362666
Steven Brault 139 135.5010208 0.466442953 0.454701412 0.011741541
Ariel Jurado 177 172.7092585 0.475806452 0.4642722 0.011534251
Zack Greinke 224 218.4329375 0.463768116 0.452242107 0.011526009
Drew Pomeranz 82 79.59265305 0.384976526 0.373674427 0.011302098
Tyler Glasnow 60 58.68959237 0.512820513 0.501620448 0.011200065
Rogelio Armenteros 23 22.34705724 0.383333333 0.372450954 0.010882379
Tony Gonsolin 43 41.999427 0.421568627 0.411759088 0.009809539
Andrew Kittredge 74 72.59748081 0.513888889 0.504149172 0.009739717
Sam Dyson 82 80.5628816 0.546666667 0.537085877 0.009580789
Chris Paddack 122 119.1948185 0.40397351 0.394684829 0.009288681
Devin Smeltzer 68 66.41005546 0.388571429 0.379486031 0.009085397
Jeremy Jeffress 70 68.76131994 0.510948905 0.501907445 0.00904146
Erick Fedde 111 109.1727492 0.51627907 0.507780229 0.008498841
Chris Martin 53 52.09148356 0.495327103 0.486836295 0.008490808
Drew Gagnon 33 32.32322426 0.4125 0.404040303 0.008459697
Craig Stammen 111 109.2812273 0.518691589 0.510659941 0.008031648
Aaron Sanchez 176 173.2369723 0.486187845 0.478555172 0.007632673
Luis Castillo 211 208.094345 0.539641944 0.532210601 0.007431343
Scott Oberg 60 59.1563248 0.517241379 0.509968317 0.007273062
Ryan Pressly 52 51.23329748 0.481481481 0.474382384 0.007099097
Thomas Pannone 77 75.51690929 0.356481481 0.349615321 0.006866161
Brad Boxberger 24 23.59219393 0.393442623 0.386757278 0.006685345
Tanner Anderson 42 41.47623371 0.53164557 0.525015617 0.006629953
Jameson Taillon 47 46.39771524 0.5 0.493592715 0.006407285
Jacob Waguespack 91 89.58323895 0.393939394 0.387806229 0.006133165
Jordan Lyles 127 125.1994554 0.417763158 0.411840314 0.005922844
Michael Lorenzen 93 91.90569183 0.467336683 0.461837647 0.005499036
Buck Farmer 75 74.22833981 0.474683544 0.469799619 0.004883925
Jerad Eickhoff 43 42.53732482 0.383928571 0.379797543 0.004131028
Masahiro Tanaka 232 230.0890426 0.476386037 0.4724621 0.003923937
Cam Bedrosian 66 65.44503404 0.445945946 0.442196176 0.00374977
Nestor Cortes 71 70.54384178 0.362244898 0.35991756 0.002327338
Tanner Scott 34 33.93621339 0.53125 0.530253334 9.97E-04
Darwinzon Hernandez 27 26.95848726 0.473684211 0.472955917 7.28E-04
Pablo Lopez 149 148.8092784 0.483766234 0.483147008 6.19E-04
Drew Smyly 113 112.8424034 0.347692308 0.347207395 4.85E-04
Jose Ruiz 55 54.94838333 0.426356589 0.42595646 4.00E-04
Trevor Cahill 130 129.9960246 0.467625899 0.467611599 1.43E-05
Cal Quantrill 147 147.0682491 0.450920245 0.451129598 -2.09E-04
Tyler Skaggs 62 62.2056609 0.389937107 0.391230572 -0.001293465
Adam Warren 30 30.11595632 0.454545455 0.456302368 -0.001756914
Robbie Ray 148 148.803373 0.394666667 0.396808995 -0.002142328
Trevor Richards 125 125.9648421 0.378787879 0.381711643 -0.002923764
Merrill Kelly 205 206.6207412 0.442764579 0.4462651 -0.003500521
Chris Stratton 82 82.72776406 0.41 0.41363882 -0.00363882
Jarlin Garcia 65 65.58155243 0.445205479 0.449188715 -0.003983236
Mike Leake 273 275.3617968 0.466666667 0.470703926 -0.00403726
Chaz Roe 52 52.51614941 0.433333333 0.437634578 -0.004301245
Ronald Bolanos 28 28.30656387 0.394366197 0.398683998 -0.004317801
Ivan Nova 288 290.8354014 0.478405316 0.483115285 -0.004709969
German Marquez 202 203.9314914 0.498765432 0.503534547 -0.004769115
Phil Maton 49 49.55445255 0.449541284 0.454628005 -0.005086721
Ian Kennedy 72 72.81706804 0.452830189 0.457968981 -0.005138793
Alex McRae 42 42.50764355 0.446808511 0.452208974 -0.005400463
Brian Johnson 63 63.82596656 0.431506849 0.437164155 -0.005657305
Tyler Beede 146 147.9940246 0.44648318 0.452581115 -0.006097934
Jake Odorizzi 128 129.9968395 0.395061728 0.401224813 -0.006163085
Joe Harvey 24 24.37599 0.406779661 0.413152373 -0.006372712
Taylor Guerrieri 42 42.55339853 0.53164557 0.538650614 -0.007005045
Shaun Anderson 125 127.0591789 0.431034483 0.4381351 -0.007100617
Pedro Baez 53 54.15147387 0.327160494 0.334268357 -0.007107863
Branden Kline 50 50.84181201 0.442477876 0.44992754 -0.007449664
Ty Buttrey 79 80.49898999 0.454022989 0.462637874 -0.008614885
Jose Rodriguez 35 35.72650962 0.416666667 0.425315591 -0.008648924
Greg Holland 34 34.6746021 0.459459459 0.468575704 -0.009116245
Dylan Covey 71 72.57724951 0.449367089 0.45934968 -0.009982592
Sean Reid-Foley 39 39.9653342 0.419354839 0.429734776 -0.010379938
Kenta Maeda 140 143.4866735 0.419161677 0.429600819 -0.010439142
Luis Garcia 86 87.79507628 0.502923977 0.513421499 -0.010497522
Archie Bradley 79 80.88158782 0.456647399 0.467523629 -0.01087623
Nick Wittgren 62 63.71428624 0.4 0.411059911 -0.011059911
Shane Greene 73 74.87740009 0.431952663 0.443061539 -0.011108876
Nick Kingham 62 63.6571374 0.418918919 0.430115793 -0.011196874
J. D. Hammer 23 23.64048785 0.410714286 0.422151569 -0.011437283
Corbin Burnes 74 75.81115002 0.490066225 0.502060596 -0.011994371
Tayron Guerrero 59 60.55011817 0.457364341 0.469380761 -0.01201642
Steve Cishek 79 80.93742066 0.496855346 0.509040381 -0.012185036
David Price 95 98.00035969 0.390946502 0.403293661 -0.012347159
Bryan Shaw 92 94.3119327 0.494623656 0.507053402 -0.012429746
Zach Plesac 142 146.5205035 0.392265193 0.404752772 -0.012487579
Sam Howard 28 28.93130432 0.388888889 0.401823671 -0.012934782
Gabriel Ynoa 159 163.3821944 0.470414201 0.483379273 -0.012965072
Jake Arrieta 168 172.3176654 0.509090909 0.522174744 -0.013083835
Marcus Walden 101 103.7101095 0.507537688 0.521156329 -0.013618641
Michael Feliz 47 48.77299237 0.37007874 0.38403931 -0.01396057
Tom Eshelman 43 44.83397707 0.330769231 0.344876747 -0.014107516
Evan Marshall 77 79.13031951 0.531034483 0.545726341 -0.014691859
Shelby Miller 43 44.48826303 0.43 0.44488263 -0.01488263
Kyle Barraclough 38 39.28273471 0.441860465 0.456775985 -0.01491552
Sergio Romo 57 59.44026999 0.351851852 0.366915247 -0.015063395
Chris Sale 120 124.1584438 0.442804428 0.458149239 -0.015344811
Tyler Alexander 84 87.55463264 0.366812227 0.38233464 -0.015522413
Wei-Chung Wang 36 37.58410935 0.356435644 0.372119895 -0.015684251
Jaime Barria 84 87.65582282 0.373333333 0.389581435 -0.016248101
Will Harris 64 66.13575596 0.488549618 0.504853099 -0.016303481
Brandon Woodruff 115 119.1331204 0.46184739 0.478446267 -0.016598877
Andrew Chafin 51 53.04238968 0.418032787 0.434773686 -0.016740899
Trevor Gott 50 51.86564832 0.458715596 0.475831636 -0.01711604
Cole Irvin 37 38.80247541 0.352380952 0.369547385 -0.017166433
David Hess 71 74.37797733 0.365979381 0.383391636 -0.017412254
Austin Adams 48 49.79809386 0.466019417 0.483476639 -0.017457222
Caleb Ferguson 43 44.88750968 0.398148148 0.41562509 -0.017476941
Dylan Cease 94 97.6962723 0.447619048 0.465220344 -0.017601297
Wilmer Font 80 83.85461711 0.366972477 0.384654207 -0.01768173
Spencer Turnbull 185 191.8850292 0.488126649 0.506292953 -0.018166304
Taylor Clarke 110 115.0883502 0.408921933 0.427837733 -0.0189158
Wily Peralta 48 50.02238907 0.461538462 0.48098451 -0.019446049
Lou Trivino 73 76.00098255 0.483443709 0.503317765 -0.019874057
Yoan Lopez 82 85.7147141 0.448087432 0.468386416 -0.020298984
Seth Lugo 78 81.65811175 0.443181818 0.463966544 -0.020784726
Eric Skoglund 31 32.81365566 0.356321839 0.377168456 -0.020846617
Adam Conley 75 78.99725856 0.401069519 0.422445233 -0.021375714
Jakob Junis 188 197.5400975 0.424379233 0.445914441 -0.021535209
DJ Johnson 36 37.66292381 0.467532468 0.489128881 -0.021596413
Matt Albers 71 74.01498313 0.510791367 0.532481893 -0.021690526
Justin Verlander 168 177.8105924 0.374164811 0.396014682 -0.021849872
Alex Colome 69 72.53348978 0.436708861 0.45907272 -0.022363859
Mike Clevinger 138 145.6004786 0.407079646 0.429499937 -0.022420291
Matt Boyd 157 167.1267455 0.354401806 0.377261277 -0.022859471
Daniel Stumpf 30 31.88022091 0.375 0.398502761 -0.023502761
Jared Hughes 119 124.0479711 0.580487805 0.605112054 -0.02462425
Noah Syndergaard 254 266.968094 0.482889734 0.507543905 -0.024654171
Tanner Roark 170 181.8505058 0.362473348 0.387740951 -0.025267603
Tyler Clippard 44 47.60441166 0.309859155 0.335242336 -0.025383181
Hector Rondon 75 79.0897044 0.46875 0.494310653 -0.025560653
Wei-Yin Chen 80 85.53161768 0.37037037 0.395979711 -0.025609341
Frankie Montas 93 98.283214 0.455882353 0.481780461 -0.025898108
A. J. Minter 33 35.02657676 0.428571429 0.454890607 -0.026319179
Walker Buehler 196 208.1115055 0.433628319 0.460423685 -0.026795366
Sam Coonrod 42 44.27834098 0.494117647 0.520921659 -0.026804011
Aaron Brooks 137 145.4218827 0.439102564 0.466095778 -0.026993214
Daniel Mengden 54 58.15833076 0.350649351 0.377651498 -0.027002148
Zach Eflin 207 219.353397 0.452954048 0.479985551 -0.027031503
Dario Agrazal 106 112.7611335 0.427419355 0.45468199 -0.027262635
Ty Blach 24 25.87491751 0.352941176 0.380513493 -0.027572316
Duane Underwood 25 26.50415858 0.462962963 0.490817752 -0.027854789
Jordan Zimmermann 160 170.3888541 0.431266846 0.459269149 -0.028002302
Kirby Yates 54 57.13453195 0.486486486 0.514725513 -0.028239027
Genesis Cabrera 29 31.09174885 0.391891892 0.420158768 -0.028266876
Tony Sipp 19 20.6425419 0.333333333 0.362149858 -0.028816525
Jonathan Hernandez 30 31.66869923 0.526315789 0.555591215 -0.029275425
Javy Guerra 94 101.3393407 0.380566802 0.410280732 -0.02971393
Austin Voth 51 55.27606917 0.356643357 0.386545938 -0.029902582
Joe Musgrove 198 211.8785037 0.431372549 0.461608941 -0.030236392
Adrian Sampson 156 167.2065635 0.426229508 0.456848534 -0.030619026
T. J. Zeuch 42 44.84990837 0.451612903 0.482257079 -0.030644176
Nathan Eovaldi 98 104.7954777 0.443438914 0.474187682 -0.030748768
Chris Bassitt 142 152.7594562 0.408045977 0.438963955 -0.030917978
Chi Chi Gonzalez 110 117.4145503 0.462184874 0.493338447 -0.031153573
Aaron Civale 64 68.99844897 0.4 0.431240306 -0.031240306
Alex Wood 44 47.54232446 0.389380531 0.420728535 -0.031348004
Blake Snell 89 96.72470139 0.361788618 0.393189843 -0.031401225
Jack Flaherty 178 191.9715742 0.406392694 0.438291265 -0.031898571
Jose Urena 115 122.5335709 0.489361702 0.521419451 -0.032057749
Carlos Rodon 27 29.18790159 0.397058824 0.429233847 -0.032175023
Joe Biagini 76 81.57375175 0.439306358 0.471524577 -0.032218218
Hector Velazquez 57 61.77145172 0.385135135 0.417374674 -0.032239539
Jesse Chavez 85 91.73829784 0.408653846 0.441049509 -0.032395663
Madison Bumgarner 193 210.1087494 0.366920152 0.399446292 -0.03252614
Joakim Soria 57 62.1436315 0.367741935 0.400926655 -0.033184719
Jeurys Familia 81 86.38111922 0.509433962 0.543277479 -0.033843517
Jake McGee 49 53.69288646 0.368421053 0.403705913 -0.035284861
Devin Williams 23 24.97828825 0.410714286 0.446040862 -0.035326576
Jandel Gustave 42 45.00571461 0.494117647 0.529478995 -0.035361348
Jonathan Holder 38 41.59150636 0.383838384 0.420116226 -0.036277842
Michel Baez 42 45.84640242 0.396226415 0.43251323 -0.036286815
Kyle Zimmer 32 34.74217979 0.426666667 0.463229064 -0.036562397
Jordan Yamamoto 89 97.71267667 0.37394958 0.410557465 -0.036607885
Justin Anderson 47 51.54281678 0.379032258 0.415667877 -0.036635619
Ryan Buchter 39 43.50705963 0.317073171 0.353715932 -0.036642761
Josh Osich 81 87.84820275 0.440217391 0.477435885 -0.037218493
Zack Littell 45 49.20574046 0.398230088 0.435449031 -0.037218942
Charlie Morton 188 203.0420187 0.466501241 0.503826349 -0.037325108
Jose Suarez 80 88.86807705 0.337552743 0.374970789 -0.037418047
Yonny Chirinos 153 166.3273505 0.44606414 0.484919389 -0.038855249
Matt Wisler 50 55.29518502 0.367647059 0.406582243 -0.038935184
Jeff Samardzija 176 194.526484 0.371308017 0.410393426 -0.039085409
Ryan Weber 63 68.16017225 0.480916031 0.520306658 -0.039390628
Kenley Jansen 50 56.08028768 0.324675325 0.364157712 -0.039482388
Julio Teheran 175 192.3766817 0.399543379 0.439216168 -0.039672789
Stefan Crichton 45 48.71872621 0.489130435 0.529551372 -0.040420937
Robert Gsellman 63 68.86292755 0.4375 0.478214775 -0.040714775
Andrew Heaney 94 105.02883 0.349442379 0.390441747 -0.040999368
Jhoulys Chacin 87 96.81762539 0.373390558 0.415526289 -0.042135731
Zac Gallen 78 86.05260003 0.408376963 0.450537173 -0.04216021
Josh Tomlin 83 93.40389237 0.33877551 0.381240377 -0.042464867
Jose Leclerc 57 63.38357302 0.382550336 0.425393107 -0.042842772
Blake Parker 57 64.02129256 0.351851852 0.395193164 -0.043341312
Ryan Carpenter 52 58.08147808 0.371428571 0.414867701 -0.043439129
Max Scherzer 150 165.7432451 0.422535211 0.466882381 -0.044347169
Jake Diekman 65 71.14679936 0.471014493 0.515556517 -0.044542024
Jorge Lopez 172 189.0717365 0.452631579 0.497557201 -0.044925622
Jose Berrios 210 232.9271619 0.414201183 0.45942241 -0.045221227
Ken Giles 38 42.32757775 0.4 0.44555345 -0.04555345
Edwin Jackson 88 97.6719194 0.41509434 0.460716601 -0.045622261
Danny Duffy 112 126.837246 0.344615385 0.390268449 -0.045653064
Brad Peacock 66 73.76126492 0.390532544 0.436457189 -0.045924644
Ryne Harper 51 57.16815961 0.383458647 0.429835787 -0.04637714
Randy Dobnak 49 53.32555897 0.52688172 0.573393107 -0.046511387
Griffin Canning 82 91.93706173 0.388625592 0.435720672 -0.047095079
Yu Darvish 175 193.3475723 0.452196382 0.49960613 -0.047409748
Nick Pivetta 122 135.3072899 0.435714286 0.483240321 -0.047526035
Jeffrey Springs 22 25.66978954 0.285714286 0.33337389 -0.047659604
Jay Jackson 28 31.35590441 0.4 0.447941492 -0.047941492
Caleb Smith 109 127.5684781 0.2845953 0.333076966 -0.048481666
Matt Festa 20 22.44583179 0.4 0.448916636 -0.048916636
Trevor Williams 178 201.3122025 0.381156317 0.43107538 -0.049919063
Matt Hall 28 31.55746151 0.394366197 0.444471289 -0.050105092
James Paxton 147 165.553052 0.398373984 0.448653258 -0.050279274
Chris Devenski 72 82.03725168 0.361809045 0.412247496 -0.050438451
Carson Fulmer 29 32.58432936 0.414285714 0.465490419 -0.051204705
Dustin May 50 55.5167055 0.46728972 0.518847715 -0.051557995
Chris Archer 86 97.54549078 0.387387387 0.439394103 -0.052006715
Matt Barnes 59 65.53360764 0.472 0.524268861 -0.052268861
Keone Kela 28 31.73795052 0.394366197 0.447013388 -0.05264719
Hector Santiago 35 41.07480985 0.307017544 0.36030535 -0.053287806
Hunter Wood 44 51.18106384 0.328358209 0.381948238 -0.053590029
David Phelps 41 46.71485961 0.394230769 0.449181342 -0.054950573
Sandy Alcantara 256 286.8108063 0.462929476 0.518645219 -0.055715744
Lance Lynn 214 244.082232 0.398510242 0.454529296 -0.056019054
Michael Pineda 125 143.763123 0.375375375 0.43172109 -0.056345715
Joe Ross 100 113.2776829 0.427350427 0.484092662 -0.056742234
Adalberto Mejia 28 32.5495616 0.35 0.40686952 -0.05686952
Brendan McKay 54 62.37583944 0.367346939 0.424325438 -0.0569785
Reynaldo Lopez 193 223.426009 0.369731801 0.428019174 -0.058287374
Zach Wheeler 214 243.4312767 0.428 0.486862553 -0.058862553
Sean Doolittle 39 48.31858379 0.246835443 0.305813821 -0.058978378
Burch Smith 26 30.7778892 0.320987654 0.379973941 -0.058986286
Giovanny Gallegos 60 70.06102039 0.352941176 0.412123649 -0.059182473
Wander Suero 65 74.54552912 0.403726708 0.463015709 -0.059289001
Kevin Gausman 92 107.0729327 0.363636364 0.423213173 -0.059576809
Andrew Miller 51 58.839924 0.395348837 0.456123442 -0.060774605
Noe Ramirez 64 73.7246649 0.4 0.460779156 -0.060779156
Gerrit Cole 163 187.4806117 0.405472637 0.466369681 -0.060897044
Hector Neris 58 66.01602049 0.442748092 0.503939088 -0.061190996
Jose Urquidy 36 42.94200193 0.318584071 0.380017716 -0.061433645
Asher Wojciechowski 86 102.7475958 0.319702602 0.381961323 -0.062258721
Walker Lockett 33 37.77055815 0.434210526 0.496981028 -0.062770502
Zack Godley 104 119.0671835 0.440677966 0.504521964 -0.063843998
Dominic Leone 40 46.26015437 0.408163265 0.472042392 -0.063879126
Adam Plutko 106 129.3725058 0.291208791 0.355418972 -0.064210181
Reyes Moronta 44 51.08685115 0.403669725 0.468686708 -0.065016983
Adam Ottavino 59 68.37868689 0.415492958 0.481540049 -0.066047091
Cory Gearrin 68 77.74331536 0.462585034 0.528866091 -0.066281057
Matt Koch 19 22.45160792 0.365384615 0.431761691 -0.066377075
Kelvin Herrera 51 60.30018719 0.364285714 0.430715623 -0.066429909
Carlos Carrasco 78 90.2687166 0.423913043 0.490590851 -0.066677808
Sal Romano 26 30.69492689 0.371428571 0.438498956 -0.067070384
Vince Velasquez 105 124.3439971 0.36971831 0.437830976 -0.068112666
Trevor Bauer 162 191.247107 0.377622378 0.445797452 -0.068175075
Jairo Diaz 88 100.4917163 0.488888889 0.558287313 -0.069398424
Luke Bard 46 54.56857056 0.37398374 0.443646915 -0.069663175
Scott Barlow 68 79.05588712 0.430379747 0.500353716 -0.069973969
Elvis Luciano 34 40.52036685 0.373626374 0.445278757 -0.071652383
Freddy Peralta 60 73.17984151 0.331491713 0.404308517 -0.072816804
Tyler Bashlor 18 22.3797519 0.3 0.372995865 -0.072995865
Liam Hendriks 57 69.22783006 0.345454545 0.419562606 -0.074108061
Jake Newberry 24 29.24537541 0.347826087 0.42384602 -0.076019933
Roenis Elias 37 46.13759189 0.31092437 0.387710856 -0.076786486
Chandler Shepherd 36 43.46369927 0.371134021 0.448079374 -0.076945353
Brock Stewart 36 44.10267807 0.342857143 0.420025505 -0.077168363
Glenn Sparkman 192 231.1659387 0.378698225 0.455948597 -0.077250372
Kyle Crick 42 50.59267318 0.378378378 0.455789849 -0.07741147
Lewis Thorpe 29 35.97043024 0.322222222 0.399671447 -0.077449225
Joe Palumbo 20 24.37563827 0.357142857 0.435279255 -0.078136398
Aroldis Chapman 43 51.99294901 0.383928571 0.464222759 -0.080294188
Nick Anderson 42 52.46276976 0.323076923 0.403559767 -0.080482844
Brad Wieck 20 25.25766934 0.307692308 0.388579528 -0.080887221
Chad Green 58 71.12005609 0.358024691 0.439012692 -0.080988001
Kyle Wright 27 32.27990562 0.415384615 0.496613933 -0.081229317
Hansel Robles 70 84.84117883 0.384615385 0.466160323 -0.081544939
Felipe Vazquez 50 59.81342468 0.416666667 0.498445206 -0.081778539
Parker Markel 22 26.59539958 0.392857143 0.47491785 -0.082060707
Josh Smith 45 56.7440545 0.314685315 0.39681157 -0.082126255
Mike Foltynewicz 97 119.0700632 0.367424242 0.451022967 -0.083598724
David Hernandez 33 41.22586151 0.336734694 0.420672056 -0.083937362
Dan Straily 38 48.62220003 0.301587302 0.385890476 -0.084303175
Lucas Sims 32 41.51450401 0.285714286 0.370665214 -0.084950929
Domingo German 109 135.3198494 0.358552632 0.445131083 -0.086578452
J. B. Wendelken 25 30.3976216 0.403225806 0.490284219 -0.087058413
Dinelson Lamet 59 73.21260368 0.36196319 0.449157078 -0.087193888
Jonathan Loaisiga 31 38.02488198 0.392405063 0.48132762 -0.088922557
Daniel Hudson 74 91.760639 0.373737374 0.463437571 -0.089700197
Geoff Hartlieb 52 62.15277441 0.460176991 0.550024552 -0.089847561
Touki Toussaint 49 59.20544937 0.4375 0.528620084 -0.091120084
Tyler Kinley 45 56.39293011 0.36 0.451143441 -0.091143441
Matt Magill 54 66.07823151 0.41221374 0.504413981 -0.092200241
Manny Banuelos 42 53.83880292 0.330708661 0.423927582 -0.093218921
Jacob Webb 27 33.91598698 0.364864865 0.458324148 -0.093459284
Stephen Tarpley 27 34.02972244 0.36 0.453729632 -0.093729632
Ryan Brasier 51 64.61067339 0.351724138 0.445590851 -0.093866713
Yacksel Rios 20 24.93778045 0.384615385 0.479572701 -0.094957316
R. J. Alaniz 22 27.12793335 0.407407407 0.502369136 -0.094961729
Cody Stashak 19 27.22144066 0.220930233 0.31652838 -0.095598147
Trent Thornton 137 176.3925901 0.332524272 0.428137355 -0.095613083
Austin Brice 47 57.87673583 0.415929204 0.512183503 -0.096254299
Jeff Hoffman 84 106.1481476 0.366812227 0.463529029 -0.096716802
Heath Fillmyer 22 27.94741905 0.360655738 0.458154411 -0.097498673
Emilio Pagan 52 67.0017238 0.342105263 0.440800815 -0.098695551
Rafael Montero 27 34.06418606 0.38028169 0.479777268 -0.099495578
Jose Cisnero 45 56.36945622 0.394736842 0.494468914 -0.099732072
Bryse Wilson 22 28.48737002 0.338461538 0.438267231 -0.099805693
Kevin Ginkel 22 28.4131691 0.34375 0.443955767 -0.100205767
Carlos Estevez 74 92.67980074 0.397849462 0.498278499 -0.100429036
Miguel Castro 86 104.3941277 0.469945355 0.570459714 -0.100514359
Jimmy Nelson 24 30.75930096 0.358208955 0.459094044 -0.100885089
Jesus Tinoco 61 75.11269622 0.442028986 0.5442949 -0.102265915
Kohl Stewart 21 26.43125736 0.396226415 0.498702969 -0.102476554
Zac Reininger 31 39.81249531 0.364705882 0.468382298 -0.103676415
Mychal Givens 53 67.44338732 0.381294964 0.485204225 -0.103909261
Jerry Blevins 23 32.07610099 0.264367816 0.368690816 -0.104323
Jeff Brigham 37 49.04758686 0.324561404 0.43024199 -0.105680587
Conner Menez 15 20.35012128 0.3 0.407002426 -0.107002426
Ryne Stanek 57 75.32460348 0.337278107 0.445707713 -0.108429606
John Brebbia 48 67.56913319 0.269662921 0.379601872 -0.109938951
Wade Davis 42 55.22732915 0.352941176 0.464095203 -0.111154026
Brad Brach 54 69.72009431 0.382978723 0.494468754 -0.111490031
Edwin Diaz 42 55.20470661 0.358974359 0.471835099 -0.11286074
Trevor May 45 60.86017576 0.321428571 0.434715541 -0.11328697
Justin Shafer 36 49.09248921 0.313043478 0.42689121 -0.113847732
Raisel Iglesias 50 66.96799724 0.33557047 0.449449646 -0.113879176
Shawn Armstrong 52 72.15914118 0.293785311 0.407678764 -0.113893453
Joe Jimenez 41 56.31352003 0.308270677 0.423409925 -0.115139248
Andres Munoz 23 29.52929022 0.410714286 0.527308754 -0.116594468
Mike Shawaryn 21 28.51758404 0.328125 0.445587251 -0.117462251
Chris Mazza 24 30.92805838 0.413793103 0.533242386 -0.119449282
Trey Wingenter 37 49.8174516 0.352380952 0.47445192 -0.122070968
Ryan Helsley 39 53.10727958 0.339130435 0.461802431 -0.122671996
Shawn Kelley 42 60.30116511 0.281879195 0.404705806 -0.122826611
Josh James 34 46.8951684 0.326923077 0.450915081 -0.123992004
Evan Phillips 26 35.55777239 0.337662338 0.461789252 -0.124126914
Hunter Strickland 29 40.12155337 0.333333333 0.46116728 -0.127833947
Chance Adams 24 35.23060605 0.279069767 0.40965821 -0.130588442
Peter Fairbanks 28 37.0314964 0.405797101 0.536688354 -0.130891252
Colin Poche 21 36.72890312 0.175 0.306074193 -0.131074193
Hector Noesi 22 31.65764145 0.301369863 0.433666321 -0.132296458
Blake Treinen 57 74.60259948 0.428571429 0.560921801 -0.132350372
Joe Smith 35 46.45463774 0.416666667 0.553031402 -0.136364735
Sam Tuivailala 20 28.34611775 0.327868852 0.464690455 -0.136821602
Yency Almonte 46 62.85540134 0.37398374 0.511019523 -0.137035783
Jimmy Yacabonis 39 54.0882948 0.357798165 0.496222888 -0.138424723
Nick Goody 26 40.87886688 0.245283019 0.385649688 -0.140366669
Tyler Duffey 46 63.71565903 0.365079365 0.505679834 -0.140600468
Jason Adam 21 31.60556073 0.28 0.421407476 -0.141407476
Robert Stephenson 46 67.33226686 0.306666667 0.448881779 -0.142215112
Brad Hand 36 54.54243586 0.28125 0.42611278 -0.14486278
A. J. Cole 19 28.73703358 0.28358209 0.428910949 -0.145328859
David McKay 18 27.13229848 0.290322581 0.437617717 -0.147295137
Gerardo Reyes 22 31.79125597 0.333333333 0.481685697 -0.148352363
Mike Wright 23 33.64365269 0.338235294 0.494759598 -0.156524304
Josh Hader 23 42.01770139 0.194915254 0.356082215 -0.161166961
Heath Hembree 23 39.03953535 0.242105263 0.410942477 -0.168837214
Edgar Garcia 30 48.41210163 0.283018868 0.45671794 -0.173699072
Yimi Garcia 41 66.98045604 0.278911565 0.455649361 -0.176737796
Ray Black 14 22.93328656 0.28 0.458665731 -0.178665731
Josh Staumont 21 32.87461454 0.318181818 0.49810022 -0.179918402
Odrisamer Despaigne 15 25.26835106 0.283018868 0.476761341 -0.193742473
Neil Ramirez 14 25.63298681 0.237288136 0.434457404 -0.197169268
Mike Mayers 14 26.61937439 0.222222222 0.422529752 -0.20030753
Juan Minaya 16 29.45441392 0.23880597 0.439618118 -0.200812148
Paul Sewald 10 23.03747954 0.161290323 0.371572251 -0.210281928
Craig Kimbrel 14 24.83929535 0.274509804 0.487045007 -0.212535203

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