UConn Shot Profile Through 8 Games

As UConn gets set to take on the Indiana Hoosiers at Madison Square Garden, I thought it would be interesting to look at the team's shot profile thus far to see where possible improvements could be made. As I am wont to do, I parsed through the play-by-play data and classified shots based on when they the occurred after the given possession started. To make things more simple, I removed any shots that were preceded by an offensive rebound, because those shots happen quickly and muddy the waters when trying to look at shots taken in transition. Shots that were taken within seven seconds I considered transition and shots taken after 23 seconds I considered end of the shot clock. All other shots in between I considered part of the normal half court offense. First, I looked at the splits separated by offense and defense:

Note pps stands for points per shot attempt. As one could imagine, shots in transition are much more efficient than any shot due to the lack of mid range shots. Within basketball analysis, it is also accepted that shots at the end of the shot clock are generally less efficient. Oddly enough UConn thus far has been slightly more efficient on shots at the end of the shot clock. I would not expect this to continue as the sample of shots grows. The following bar chart compares the offensive and defensive efficiencies on all shots split by when they occur during the shot clock:

UConn has a huge advantage in transition efficiency thus far. Given the team is only 156th in adjusted tempo thus far (per barttorvik) I would hope that coach Dan Hurley urges his team to push the pace more. The defense at the end of the shot clock thus far has been nails. The one worrisome trend, however, is how the team is barely breaking even in the "normal" split, which comprises the bulk of the total shooting possessions. If this team has tournament aspirations, it needs to separate itself from the opposition for the most important aspect of the game. Without the large margins in the two more sample-sensitive splits, UConn's record would be much worse thus far.

Finally, here is an updated true shooting chart with true shooting attempts and true shooting percentage, which I explained in my previous post:

Gilbert is trending up as the season goes along, which is not surprisingly in the slightest given his unsustainable rough start shooting the ball. Vital and Carlton are also trending up a bit, while Brendan Adams has cooled off after a scorching start. Bouknight and Polley continue to shoot a hot ball, Bouknight mostly by means of getting easy put-back opportunities and Polley through his steady diet of threes. Overall, the three most heavily used players are starting to pick up their efficiency, which, hopefully, is a good omen for the team as it prepares to take on a solid Hoosiers squad.

Thank you to Luke Benz and his ncaahoopR package for making it easy to scrape the play-by-play data

UConn True Shooting Through Six Games

After looking at some of the shot location trends as the game goes along for the UConn basketball team, I decided to look at each players shooting efficiency through six games. Shooting efficiency can be summed up nicely in one number, true shooting percentage. True shooting percentage is the ratio of points scored to true shooting attempts, where a single free throw is 0.44 true shooting attempts (this figure was derived from considering all free throws, i.e. those yielded after two point fouls, three point fouls, and free throws after a made basket). All field goal attempts represent one true shooting attempt. The benefit of looking at shooting through the lens of true shooting percentage is it adjusts for the fact that a three pointer is more valuable then a normal two point field goal and it rewards players who get to the free throw line.

The following table represents the shot profiles of all the relevant players in the UConn rotation:

Vital has put up the most true shooting attempts through six games followed by Carlton and Gilbert. Given Gaffney's lack of playing time and lack of aggressiveness with regards to looking for his shot, it is no surprise that he has shot less than half as many true shooting attempts as the next closest player in the rotation. Below is a plot that compares efficiency, in the form of true shooting percentage, and volume, in the form of true shooting attempts:

The horizontal and vertical lines represent the averages in efficiency and volume respectively. You can see that with his high volume, Gilbert has not been efficient shooting the ball thus far. Now, this will regress some, a 36.5% true shooting is not sustainable for a player of his capability. This also neglects to account for the shots he has created after drives to the rim, where he has the ability to blow by defenders with his elite quickness. Polley has maintained very good efficiency with his proficiency from three point range. James Bouknight has only played in three games (hence the low volume) but has shot the lights out thus far. The same can be said for Brendan Adams after a poor freshman year. Vital has maintained solid efficiency despite the degree of difficulty of his shooting attempts. Carlton's similar efficiency to Vital is disappointing when you take into account the proximity to the basket with which he takes his shots and the fact that many of his attempts are assisted. Sid Wilson's lack of offensive production has to be considered a let down given his recruiting pedigree. If he can at least become a passable shooter with his athleticism, he could be a really important piece for this UConn team. Finally, here is the same plot but for just the last 10 minutes of games:

This information should be taken with an extremely sizable grain of salt, given the lack of game time in this split. Bouknight and Adams have shot extremely well at the end of games. Given they are both perimeter based players, this will regress some. Vital has taken his game to another level during this time. Carlton and Gilbert lead the team in volume at the end of games, yet they have been two of the least efficient players in this spot. I would imagine the two of them will have a little more luck finding the bottom of the basket as the season goes on.

Thank you to Luke Benz and his ncaahoopR package for making it easy to scrape the play-by-play data

UConn Shot Profile Thus Far

I was looking at the play-by-play data of all the UConn games through today (11/24 against Miami Fl.) and I noticed what I thought was an odd trend:

I filtered out garbage time (win probability between 15 and 85 percent) when looking at this data. Anecdotally I would think the trend would be the reverse; as the game goes on the defense makes more of an effort to wall off the paint. However, as the game has gone on for the Huskies thus far, they have dramatically decreased the rate of three pointers taken. This can be attributed somewhat to what seems like more post-ups for Josh Carlton in close games (to my chagrin) and taking the ball out of the guards hands more than what would be ideal. Here are who has taken the shots in the last five minutes of the game:

Josh Carlton is just third on the team in shots taken in the last five minutes and of course has taken no three point shots. All of Tyler Polley's seven shots have been threes. Interestingly enough, Vital has close to a 50% three point attempt rate overall but in the last five minutes only has a 33.3% rate, a very abrupt decline. Bouknight has only played in three games so far, but based on the way his shot looks, I hope in the future he becomes more aggressive from threes in tight games (note that his entire sample of shots in the last five minutes has been in close games).

Now, it's worth noting, this extremely small sample of last five minute shots does not give this much predictive value. But the team's shot profile overall as a function of time thus far I thought was worth noting. It will be interesting to take a look at this in a few months.

Thanks to Luke Benz for making it easy to scrape the play-by-play data

Gerrit Cole's Free Agency

As any baseball fan with a pulse knows, Gerrit Cole is set to cash in this off-season. He will probably sign off on the largest free agent contract for a pitcher in league history. While we can all wait and guess where he is going to go and for how much, I figured the conclusion of the World Series would be a great time to project how much he will be worth on the mound over the life of his contract.

When assessing Cole's value (as a pitcher), I assumed that he would sign an eight year contract. Next season will be his age 29 season, so an eight year deal that takes him through his age 36 season seemed reasonable given his pitching prowess and the state of the free agent market (news flash: teams are becoming increasingly weary of handing out long-term deals through a player's 30's).

In order to project his value over the life of the contract, we need to estimate Cole's true talent as a pitcher right now and then apply some sort of technique to reflect aging season over season. First, to get an approximation of  Cole's true talent right now, I took a weighted average using the weights from Tom Tango's Marcel projection model (five for this past season, four for the season before, and three for the season before that). Using FanGraphs WAR, Cole's "true talent" right now is a shade under six wins (5.93 to be exact).

Once I obtained this value, I applied a projected change in WAR for each of the eight seasons. While somewhat arbitrary, I considered changes in performance in line with the results of more rigorous  studies into aging players. I considered a -.25 WAR drop off in his age 29 season, -.5 WAR for ages 30, 31, 32, 33, and 34, and -.75 for ages 35 and 36. However, I also wanted to get a range of outcomes within each projected year-to-year decline. So for each season, I created a random normally distributed set of numbers with a mean of the deltas I described above and a standard deviation of one. Each year I pulled out the fifth, twenty-fifth, fiftieth, seventy-fifth, and ninety-fifth percentile deltas and added those to Cole's true talent figure. This would provide a distribution of outcomes for Cole's value to whatever team signs him. I then summed up the WAR values in each case and multiplied them by 9, 9.5, and 10 which represents estimates for the cost of a win on the free agent market. Here are the results:

For more specificity, here are the actual figures:

In close to the reasonable best-case scenario, Cole is projected to be worth a bit over 400 million dollars by my methodology. Correspondingly, in about the worst-case scenario, he figures to be worth about 170 million. Now, it is most important to look at the fiftieth percentile outcome, which is supposed to represent what a team should be realistically expecting from Cole. His value in this case would be about 300 million over the course of an eight year contract.

Now, given the state of the free agent market, I would be surprised if Cole signed for 300 million dollars. So what can we conclude about whatever team signs Cole? That team is probably getting an excellent pitcher on a bit of a discount.

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