AS HW3_3(야구 투수)

ref

python-data-analysis data

Data Source

library(ggplot2)

데이터셋

picher <- read.csv("~/Dropbox/coco/posts/Applied statistics/picher_stats_2017.csv")
head(picher)

A data.frame: 6 × 22

	선수명	팀명	승	패	세	홀드	블론	경기	선발	이닝	⋯	홈런.9	BABIP	LOB.	ERA	RA9.WAR	FIP	kFIP	WAR	연봉.2018.	연봉.2017.
	<chr>	<chr>	<int>	<int>	<int>	<int>	<int>	<int>	<int>	<dbl>	⋯	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<int>	<int>
1	켈리	SK	16	7	0	0	0	30	30	190.0	⋯	0.76	0.342	73.7	3.60	6.91	3.69	3.44	6.62	140000	85000
2	소사	LG	11	11	1	0	0	30	29	185.1	⋯	0.53	0.319	67.1	3.88	6.80	3.52	3.41	6.08	120000	50000
3	양현종	KIA	20	6	0	0	0	31	31	193.1	⋯	0.79	0.332	72.1	3.44	6.54	3.94	3.82	5.64	230000	150000
4	차우찬	LG	10	7	0	0	0	28	28	175.2	⋯	1.02	0.298	75.0	3.43	6.11	4.20	4.03	4.63	100000	100000
5	레일리	롯데	13	7	0	0	0	30	30	187.1	⋯	0.91	0.323	74.1	3.80	6.13	4.36	4.31	4.38	111000	85000
6	피어밴드	KT	8	10	0	0	0	26	26	160.0	⋯	1.12	0.289	76.1	3.04	6.52	4.42	4.32	3.94	85000	35000

dt <- subset(picher, select = -c(선수명,연봉.2017.))

head(dt)

A data.frame: 6 × 20

	팀명	승	패	세	홀드	블론	경기	선발	이닝	삼진.9	볼넷.9	홈런.9	BABIP	LOB.	ERA	RA9.WAR	FIP	kFIP	WAR	연봉.2018.
	<chr>	<int>	<int>	<int>	<int>	<int>	<int>	<int>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<int>
1	SK	16	7	0	0	0	30	30	190.0	8.95	2.13	0.76	0.342	73.7	3.60	6.91	3.69	3.44	6.62	140000
2	LG	11	11	1	0	0	30	29	185.1	7.43	1.85	0.53	0.319	67.1	3.88	6.80	3.52	3.41	6.08	120000
3	KIA	20	6	0	0	0	31	31	193.1	7.36	2.09	0.79	0.332	72.1	3.44	6.54	3.94	3.82	5.64	230000
4	LG	10	7	0	0	0	28	28	175.2	8.04	1.95	1.02	0.298	75.0	3.43	6.11	4.20	4.03	4.63	100000
5	롯데	13	7	0	0	0	30	30	187.1	7.49	2.11	0.91	0.323	74.1	3.80	6.13	4.36	4.31	4.38	111000
6	KT	8	10	0	0	0	26	26	160.0	7.42	1.74	1.12	0.289	76.1	3.04	6.52	4.42	4.32	3.94	85000

dim(dt)

1. 152
2. 20

unique(dt$팀명)

1. 'SK'
2. 'LG'
3. 'KIA'
4. '롯데'
5. 'KT'
6. '두산'
7. '삼성'
8. '한화'
9. 'NC'

회귀직선적합

model <- lm(연봉.2018. ~ .-팀명, dt)
summary(model)

Call:
lm(formula = 연봉.2018. ~ . - 팀명, data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-59037  -5741   -902   6389  95274 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  35867.8    36036.6   0.995  0.32139    
승            2970.3     1044.4   2.844  0.00516 ** 
패           -1378.4     1081.7  -1.274  0.20476    
세            1275.2      520.3   2.451  0.01556 *  
홀드           437.6      623.3   0.702  0.48388    
블론          1760.3     1499.0   1.174  0.24238    
경기          -612.7      284.6  -2.153  0.03312 *  
선발         -1304.0      910.6  -1.432  0.15448    
이닝           300.6      227.4   1.322  0.18854    
삼진.9        1140.7     4641.2   0.246  0.80623    
볼넷.9        1741.9     4460.8   0.390  0.69680    
홈런.9       14546.4    27913.3   0.521  0.60314    
BABIP       -10654.4    29375.0  -0.363  0.71740    
LOB.          -159.6      256.6  -0.622  0.53495    
ERA           -574.2     1124.6  -0.511  0.61049    
RA9.WAR      -3666.1     2926.2  -1.253  0.21246    
FIP         -35583.2    88478.2  -0.402  0.68820    
kFIP         27988.1    70994.7   0.394  0.69404    
WAR          17704.1     3417.1   5.181 7.99e-07 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 18190 on 133 degrees of freedom
Multiple R-squared:  0.6957,    Adjusted R-squared:  0.6545 
F-statistic: 16.89 on 18 and 133 DF,  p-value: < 2.2e-16

model2 <- lm(연봉.2018. ~ ., dt)
summary(model2)

Call:
lm(formula = 연봉.2018. ~ ., data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-53634  -7456   -561   7450  88408 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  52852.0    37490.1   1.410  0.16109    
팀명KT       -6228.7     6570.1  -0.948  0.34494    
팀명LG       -3524.7     6645.6  -0.530  0.59679    
팀명NC       -9824.6     7293.8  -1.347  0.18042    
팀명SK       -8235.0     6514.8  -1.264  0.20856    
팀명두산     -8025.5     6861.8  -1.170  0.24439    
팀명롯데     -4433.3     6923.6  -0.640  0.52314    
팀명삼성       966.5     6684.7   0.145  0.88527    
팀명한화      8037.2     6504.2   1.236  0.21889    
승            3056.7     1041.5   2.935  0.00397 ** 
패           -1810.5     1112.9  -1.627  0.10630    
세            1266.7      515.9   2.455  0.01546 *  
홀드           498.8      621.6   0.802  0.42384    
블론          1694.1     1526.2   1.110  0.26915    
경기          -572.9      283.4  -2.021  0.04539 *  
선발         -1194.6      935.7  -1.277  0.20410    
이닝           280.1      229.7   1.219  0.22506    
삼진.9         779.0     4854.6   0.160  0.87277    
볼넷.9        3012.7     4667.0   0.646  0.51977    
홈런.9       22341.0    29361.9   0.761  0.44816    
BABIP       -21376.8    29211.0  -0.732  0.46566    
LOB.          -116.7      259.4  -0.450  0.65372    
ERA           -205.2     1135.9  -0.181  0.85694    
RA9.WAR      -3426.3     2885.8  -1.187  0.23736    
FIP         -49302.8    92425.5  -0.533  0.59468    
kFIP         36594.4    74108.6   0.494  0.62232    
WAR          18188.9     3386.2   5.371 3.67e-07 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 17840 on 125 degrees of freedom
Multiple R-squared:  0.7247,    Adjusted R-squared:  0.6675 
F-statistic: 12.66 on 26 and 125 DF,  p-value: < 2.2e-16

contrasts(factor(dt$팀명))

A matrix: 9 × 8 of type dbl

	KT	LG	NC	SK	두산	롯데	삼성	한화
KIA	0	0	0	0	0	0	0	0
KT	1	0	0	0	0	0	0	0
LG	0	1	0	0	0	0	0	0
NC	0	0	1	0	0	0	0	0
SK	0	0	0	1	0	0	0	0
두산	0	0	0	0	1	0	0	0
롯데	0	0	0	0	0	1	0	0
삼성	0	0	0	0	0	0	1	0
한화	0	0	0	0	0	0	0	1

\(H_0:\) 연봉.2018 = \(\beta_0\) vs. \(H_1: \beta_0+\beta_1\) 팀명 \(+ \dots + \beta_{18}\) WAR

null_model<-lm(연봉.2018.~1, data=dt)

anova(null_model, model2)

A anova: 2 × 6

	Res.Df	RSS	Df	Sum of Sq	F	Pr(>F)
	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>
1	151	144556672039	NA	NA	NA	NA
2	125	39789454039	26	104767218001	12.65885	5.209233e-24

• 수치형 데이터들끼리의 상관계수 확인..

dt_numeric <- dt[, sapply(dt, is.numeric)]
cor_matrix <- cor(dt_numeric)
print(cor_matrix)

                    승          패          세         홀드         블론
승          1.00000000  0.71074928  0.05374721  0.092871577  0.105280976
패          0.71074928  1.00000000  0.06625577  0.098617229  0.121282731
세          0.05374721  0.06625577  1.00000000  0.112715801  0.605229400
홀드        0.09287158  0.09861723  0.11271580  1.000000000  0.490076300
블론        0.10528098  0.12128273  0.60522940  0.490076300  1.000000000
경기        0.39707445  0.34314680  0.43429047  0.715527412  0.630526439
선발        0.77356048  0.77139546 -0.17706884 -0.285203788 -0.264160381
이닝        0.90609339  0.82901787  0.02027806  0.024630963  0.014176413
삼진.9      0.07837678  0.03175495  0.17043623  0.186790446  0.188422858
볼넷.9     -0.40471007 -0.38631296 -0.13139394 -0.146805736 -0.137019126
홈런.9     -0.11614705 -0.06446704 -0.07311138 -0.076474874 -0.064804420
BABIP      -0.17111074 -0.13335394 -0.08921166 -0.104306502 -0.112480228
LOB.        0.13117801 -0.02099439  0.16755694  0.048122986  0.100633065
ERA        -0.27108603 -0.18803575 -0.15034771 -0.155711946 -0.160760544
RA9.WAR     0.85135026  0.59598909  0.16766877  0.003526369  0.008766115
FIP        -0.30313274 -0.23341616 -0.19974611 -0.211515490 -0.209013840
kFIP       -0.31415917 -0.23868827 -0.22525909 -0.237353464 -0.237814896
WAR         0.82142026  0.62564107  0.08415103 -0.038612514 -0.058212580
연봉.2018.  0.71246262  0.46983127  0.21116879 -0.017346895  0.097759379
                 경기        선발        이닝      삼진.9     볼넷.9
승          0.3970745  0.77356048  0.90609339  0.07837678 -0.4047101
패          0.3431468  0.77139546  0.82901787  0.03175495 -0.3863130
세          0.4342905 -0.17706884  0.02027806  0.17043623 -0.1313939
홀드        0.7155274 -0.28520379  0.02463096  0.18679045 -0.1468057
블론        0.6305264 -0.26416038  0.01417641  0.18842286 -0.1370191
경기        1.0000000 -0.03744330  0.37637773  0.19248664 -0.3642933
선발       -0.0374433  1.00000000  0.89401755 -0.05536387 -0.3129353
이닝        0.3763777  0.89401755  1.00000000  0.03734303 -0.4511011
삼진.9      0.1924866 -0.05536387  0.03734303  1.00000000  0.1093450
볼넷.9     -0.3642933 -0.31293529 -0.45110115  0.10934505  1.0000000
홈런.9     -0.1135454 -0.05812020 -0.10706305  0.21601732  0.3022510
BABIP      -0.2416078 -0.09890913 -0.19151437  0.45752294  0.2760090
LOB.        0.1057622  0.04181897  0.10336863 -0.07128408 -0.1508370
ERA        -0.3201774 -0.15777492 -0.28539216  0.25684029  0.5210392
RA9.WAR     0.2815950  0.74225780  0.85335406  0.10296329 -0.3985855
FIP        -0.3453508 -0.15103988 -0.29676831 -0.15485671  0.6298329
kFIP       -0.3737767 -0.14268537 -0.30228757 -0.31759387  0.6050076
WAR         0.1978360  0.75884635  0.83260947  0.15179097 -0.3941313
연봉.2018.  0.2099411  0.56047219  0.65890090  0.10377353 -0.3291493
                홈런.9       BABIP        LOB.        ERA      RA9.WAR
승         -0.11614705 -0.17111074  0.13117801 -0.2710860  0.851350262
패         -0.06446704 -0.13335394 -0.02099439 -0.1880357  0.595989087
세         -0.07311138 -0.08921166  0.16755694 -0.1503477  0.167668765
홀드       -0.07647487 -0.10430650  0.04812299 -0.1557119  0.003526369
블론       -0.06480442 -0.11248023  0.10063307 -0.1607605  0.008766115
경기       -0.11354545 -0.24160779  0.10576223 -0.3201774  0.281595001
선발       -0.05812020 -0.09890913  0.04181897 -0.1577749  0.742257803
이닝       -0.10706305 -0.19151437  0.10336863 -0.2853922  0.853354059
삼진.9      0.21601732  0.45752294 -0.07128408  0.2568403  0.102963288
볼넷.9      0.30225097  0.27600898 -0.15083697  0.5210392 -0.398585544
홈런.9      1.00000000  0.36261413 -0.27454254  0.6299123 -0.187210381
BABIP       0.36261413  1.00000000 -0.50547797  0.7331088 -0.187057689
LOB.       -0.27454254 -0.50547797  1.00000000 -0.7200909  0.286893000
ERA         0.62991234  0.73310878 -0.72009091  1.0000000 -0.335584188
RA9.WAR    -0.18721038 -0.18705769  0.28689300 -0.3355842  1.000000000
FIP         0.83104175  0.25112609 -0.28805021  0.6480040 -0.366307597
kFIP        0.74362294  0.16690965 -0.26953615  0.5820569 -0.377679064
WAR        -0.20501450 -0.08299495  0.14419128 -0.2615080  0.917299252
연봉.2018. -0.11636840 -0.10233732  0.12567462 -0.2158196  0.740331853
                  FIP       kFIP         WAR  연봉.2018.
승         -0.3031327 -0.3141592  0.82142026  0.71246262
패         -0.2334162 -0.2386883  0.62564107  0.46983127
세         -0.1997461 -0.2252591  0.08415103  0.21116879
홀드       -0.2115155 -0.2373535 -0.03861251 -0.01734690
블론       -0.2090138 -0.2378149 -0.05821258  0.09775938
경기       -0.3453508 -0.3737767  0.19783597  0.20994108
선발       -0.1510399 -0.1426854  0.75884635  0.56047219
이닝       -0.2967683 -0.3022876  0.83260947  0.65890090
삼진.9     -0.1548567 -0.3175939  0.15179097  0.10377353
볼넷.9      0.6298329  0.6050076 -0.39413129 -0.32914934
홈런.9      0.8310418  0.7436229 -0.20501450 -0.11636840
BABIP       0.2511261  0.1669097 -0.08299495 -0.10233732
LOB.       -0.2880502 -0.2695361  0.14419128  0.12567462
ERA         0.6480040  0.5820569 -0.26150804 -0.21581963
RA9.WAR    -0.3663076 -0.3776791  0.91729925  0.74033185
FIP         1.0000000  0.9849244 -0.39141424 -0.28085800
kFIP        0.9849244  1.0000000 -0.40828267 -0.29513277
WAR        -0.3914142 -0.4082827  1.00000000  0.79138777
연봉.2018. -0.2808580 -0.2951328  0.79138777  1.00000000

model3 <- lm(연봉.2018. ~ 승+선발+이닝+RA9.WAR+WAR, dt)
summary(model3)

Call:
lm(formula = 연봉.2018. ~ 팀명 + 승 + WAR + 팀명 * 승, 
    data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-66122  -6415   -780   4604  66983 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)    -7332       5609  -1.307 0.193392    
팀명KT         12806       7566   1.693 0.092860 .  
팀명LG         12496       7924   1.577 0.117188    
팀명NC         11700       8894   1.316 0.190602    
팀명SK         10963       7645   1.434 0.153908    
팀명두산       10973       8191   1.340 0.182630    
팀명롯데       23013       8823   2.608 0.010140 *  
팀명삼성       12265       7254   1.691 0.093237 .  
팀명한화       19505       7558   2.581 0.010948 *  
승              5416        993   5.454 2.32e-07 ***
WAR            15457       1954   7.909 8.86e-13 ***
팀명KT:승      -6766       1730  -3.911 0.000146 ***
팀명LG:승      -4786       1410  -3.395 0.000905 ***
팀명NC:승      -5646       1920  -2.941 0.003859 ** 
팀명SK:승      -4535       1235  -3.671 0.000348 ***
팀명두산:승    -5155       1309  -3.938 0.000132 ***
팀명롯데:승    -6212       1337  -4.646 8.03e-06 ***
팀명삼성:승    -4030       1445  -2.789 0.006058 ** 
팀명한화:승    -3272       1714  -1.908 0.058494 .  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 17080 on 133 degrees of freedom
Multiple R-squared:  0.7315,    Adjusted R-squared:  0.6951 
F-statistic: 20.13 on 18 and 133 DF,  p-value: < 2.2e-16

회귀진단

leverage

head(hatvalues(model2))

1

0.288549503925616

2

0.238915950704617

3

0.321457169449087

4

0.146788484297724

5

0.146652505916371

6

0.213076764712581

2*(26+1)/nrow(dt)

0.355263157894737

which(hatvalues(model2)>2*(26+1)/nrow(dt))

20

20

83

83

89

89

94

94

97

97

98

98

105

105

115

115

\(\bar h=2 \dfrac{p+1}{n}=2\dfrac{26+1}{152}=0.355263157894737\)

이상치

s_residual <- rstandard(model2)
head(s_residual)
hist(s_residual)

1

0.30219946517979

2

0.60376347693364

3

6.01550834934919

4

0.631988847606143

5

1.12387404088363

6

1.47300340677256

s_residual_i <- rstudent(model2)
head(s_residual_i)
hist(s_residual_i)

1

0.301098250710331

2

0.602222327863807

3

7.10793249153552

4

0.630463875945563

5

1.1250682126011

6

1.48000065156462

which.max(s_residual_i)
s_residual_i[which.max(s_residual_i)]

3: 3

3: 7.10793249153552

영향점

influence(model2)

$hat

1

0.288549503925616

2

0.238915950704617

3

0.321457169449087

4

0.146788484297724

5

0.146652505916371

6

0.213076764712581

7

0.195250136243593

8

0.198586400052284

9

0.178333591390648

10

0.166941732848571

11

0.136178129436448

12

0.238129074463412

13

0.110911601252613

14

0.181085111598219

15

0.0980295773316395

16

0.119360621751013

17

0.182756829765843

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0.139133515052432

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0.507420170752351

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0.272566034438367

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0.108949843433006

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0.313684025229151

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0.0956994082756664

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0.191999401404375

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0.203250075084746

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0.136990770860488

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0.191142951112772

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0.18435648446416

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0.169092471408825

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0.139972064857371

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0.143310446194389

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0.204034788565768

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0.249370554307032

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0.316760977023647

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0.29928391787881

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0.148603598423763

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0.170850826976274

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0.199192002046881

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0.127201705469007

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0.179669038883243

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0.109910022755335

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0.154033436537081

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0.229069096468305

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0.14601010845374

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0.116682024514985

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0.194892799508189

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0.09415851902261

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0.204252494276957

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0.202592346442938

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0.0965392040697959

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0.0922253267127638

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0.127487695931689

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0.116039978062371

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0.106939064613047

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0.0963656821620291

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0.202653946171695

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0.107479600829368

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0.104207414554694

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0.148774134801202

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0.107827930338103

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0.103491290921513

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0.204673276991

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0.110327515369565

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0.126915268627387

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0.274077455975528

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0.116665824559715

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0.356999451193955

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0.139131641644354

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0.130927658571057

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0.0951664092838356

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0.188360783892982

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0.112153858861555

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0.53802263252448

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0.29442640864548

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0.214940410515145

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0.117632435006589

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0.0999607010516776

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0.373848340929269

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0.216982277091479

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0.272211931643945

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0.417031583892121

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0.657461277293355

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0.119357628789583

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0.127938982265583

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0.0964717056295289

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0.147918648214514

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0.109762628652269

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0.285131345686824

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0.477241108564239

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0.193711550129658

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0.133552625345394

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0.338364535408339

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0.106200724250076

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0.0913843121044211

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0.179176523283369

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0.0763527275187297

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0.223188066783997

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0.0942527452258659

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0.109606522119589

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0.252083732195798

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0.114568666940467

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0.112248027374816

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0.203811220419617

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0.136142131037061

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0.175477236111684

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0.112218757806901

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0.139948406424478

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0.127929886073646

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0.126812404273007

152

0.182774662111392

$coefficients

A matrix: 152 × 27 of type dbl

	(Intercept)	팀명KT	팀명LG	팀명NC	팀명SK	팀명두산	팀명롯데	팀명삼성	팀명한화	승	⋯	삼진.9	볼넷.9	홈런.9	BABIP	LOB.	ERA	RA9.WAR	FIP	kFIP	WAR
1	-862.646548	135.8785435	41.063626	93.6776586	459.380072	-0.9827616	64.157743	108.481695	174.558297	39.125334	⋯	-24.754211	-31.890077	-241.51556	-259.73463	6.39014269	13.8765104	-1.856373e+02	641.36091	-475.64526	411.452668
2	-263.986866	-41.7296418	698.308578	160.4404418	129.183434	2.5924320	204.358592	77.995650	136.667193	-86.886663	⋯	-330.523389	-197.286863	-1562.32953	-236.39812	-5.13990757	3.6962299	3.927276e+01	5577.95966	-4548.10168	521.375388
3	11053.862820	-4356.1582706	-6086.905945	-6095.6125710	-6640.087069	-8851.9958983	-8076.850734	-4585.399626	-4221.311860	2576.100209	⋯	-1692.541755	-94.442582	-2264.38310	-2177.64809	54.24275554	44.2362931	-3.999554e+03	16117.67511	-14720.73161	4202.042314
4	-502.598729	84.3393929	757.150048	45.3257385	78.547977	-5.0782628	14.101181	120.313073	147.512678	-79.740142	⋯	-138.441740	-121.122415	-789.37195	-828.81020	1.18303752	21.1839480	2.475688e+01	2746.63897	-2216.07645	188.995744
5	-450.052763	218.8067859	97.624169	80.6811225	58.582514	21.9584059	1657.466197	56.702812	218.013491	-4.430005	⋯	357.490450	242.652547	1542.24046	648.61247	-1.65925569	-19.9485043	-1.140481e+02	-6012.98806	5043.86203	206.778248
6	2023.426022	1440.7972428	-343.571378	70.2054817	-103.393939	-83.5663557	-96.968161	-30.559193	57.506760	-313.112777	⋯	54.659079	84.663948	466.06473	-907.44591	-24.27187904	-72.9391426	1.315624e+03	-855.09337	691.79801	-261.535759
7	9884.740560	-2451.7818582	1262.225017	386.5264737	333.852827	-219.7228419	-263.836098	1161.858316	845.042071	78.337321	⋯	-1168.239877	107.056048	-1458.05953	1681.23579	-64.55837815	-54.4773820	1.766216e+03	11942.69043	-11203.07777	-2984.069748
8	4479.948553	178.0576271	46.903429	241.4342339	-53.892206	2204.2643161	-37.341281	130.443348	249.111187	78.822661	⋯	457.356882	366.899000	2508.52110	903.16935	-52.18178584	-143.7498073	1.269444e+03	-8002.09225	6504.26079	-1034.000833
9	-3535.908173	-205.4681617	649.562151	-651.0620271	-178.665646	-3834.3668918	-27.537475	-220.838893	-494.428757	226.002719	⋯	-54.034191	-250.411549	-820.85526	724.18390	51.47629936	177.9665843	-8.160430e+02	491.19316	-176.32223	-1082.112488
10	7.324447	68.4103043	76.191081	72.2852389	73.313489	68.2007401	76.252214	68.323721	70.087726	10.634392	⋯	-23.993778	-11.058311	-103.13852	-33.01432	-0.78647558	-1.3410334	-8.571630e+00	403.21044	-337.52075	1.082713
11	921.101879	68.2829912	79.145714	68.1853662	-15.454381	-27.5847210	-63.502766	683.569995	82.996042	33.259846	⋯	-14.498487	62.085654	473.87053	-122.77489	0.07233331	19.8780874	1.675206e+02	-918.96711	588.53300	-264.202410
12	-3807.255774	-183.8862407	-171.740332	106.4804768	194.462859	-1655.2084994	77.241909	-155.669810	-84.711494	70.233450	⋯	-537.821955	-587.068181	-4016.74977	-1020.53050	18.64566652	57.2247007	2.732147e+02	12125.84525	-9560.76996	429.747296
13	-5847.203268	3986.2261715	4031.051987	3504.5040961	3811.288142	3906.5676324	3876.664810	3478.673387	3748.438968	88.575853	⋯	-23.669933	22.354713	-1189.43357	-1372.97441	-7.31232175	-20.6146604	-8.099508e+02	3476.16806	-2657.09678	92.530859
14	-2120.868860	-594.0474697	-681.318386	-310.8045100	-259.347870	250.0486199	-2948.865736	-420.883058	-495.258678	-78.019071	⋯	310.093442	-67.361577	690.74436	-2012.00768	27.24018823	57.7474189	-1.069010e+03	-3582.90083	3247.34704	1743.490117
15	-297.537398	-581.4300742	-225.900371	-462.7785917	-335.652813	109.9041251	157.256648	-2945.054406	-700.539747	-205.981101	⋯	819.169278	268.750942	1996.32068	-15.91131	-21.53787361	-94.0017508	4.666101e+01	-10143.01859	8936.68002	-455.735181
16	-651.083662	-249.6795926	-189.989499	-229.2804281	-119.660434	-3.5392335	-1095.112629	-261.007346	-247.641279	-101.857997	⋯	174.584877	54.248366	541.42702	269.13220	4.87145112	2.5677217	-1.845716e+02	-2601.69300	2261.94645	217.191270
17	3503.643511	-234.4749308	-1443.757003	-63.1456680	-148.701318	-106.8215802	6.878622	-5.607388	-80.004194	-92.453541	⋯	-47.478256	216.396657	1400.55827	1321.96526	-13.35268978	-44.1444104	9.452789e+02	-2367.52073	1521.85544	-440.532243
18	1749.686074	-290.0387843	-345.033788	30.4077575	-270.893493	329.1955829	-165.837106	1525.207409	-209.839068	-5.976719	⋯	185.855468	183.261154	2069.18575	-456.45364	6.59500961	13.1986682	-7.523333e+02	-5512.35112	4244.41255	704.195736
19	2820.721009	137.5374607	-486.668484	-0.9645205	25.893453	2.6335605	110.377040	193.061951	166.016314	55.213840	⋯	-162.179603	165.445107	707.78021	-111.35774	-5.61046242	-10.6957201	-2.160731e+02	-234.00664	-245.72787	57.935624
20	-2049.236571	-174.6845560	-163.341842	-399.2096462	-8.330715	50.6150702	957.496272	21.659368	-178.727392	-162.637383	⋯	-88.703457	-180.148828	-798.08404	989.36598	12.25659383	13.7077214	-1.444085e+01	2198.73528	-1628.47863	112.432311
21	-3245.870842	402.8703963	41.796792	-520.4255622	399.048550	525.9084997	-481.450396	234.761022	3247.081289	442.745455	⋯	326.183755	-416.682568	-1986.59055	-5860.79100	-7.72651939	-47.7120938	-3.732516e+02	3660.67193	-2206.18937	503.377038
22	1538.237534	140.6463052	59.694859	54.0147900	-1272.908227	-48.7400034	30.255231	96.391143	130.245558	31.054207	⋯	75.384718	145.033299	738.46881	607.17617	-15.48097481	-50.5627942	5.913144e+02	-1983.05925	1566.57801	-357.548510
23	-5.107253	-0.7582332	-3.814803	24.2065190	0.205665	-2.0466246	2.836022	-1.124301	-1.199196	-2.115045	⋯	-5.599786	-3.890191	-30.59798	25.85302	-0.15275610	-0.2283475	9.407654e-02	95.70152	-77.32872	3.058915
24	518.255637	18.1856112	-36.728495	52.0285559	-27.525170	37.4841119	-66.046229	60.694434	426.486665	-2.851971	⋯	27.478836	49.491842	394.49443	-228.74521	-0.56684539	6.4643210	5.038581e+00	-998.31581	742.35834	-10.012841
25	3329.424175	-287.0946265	-176.878052	-48.2815370	-1180.689581	167.8105290	230.368341	-11.149033	-85.733883	-175.047859	⋯	-102.447293	233.273979	1407.69323	406.86206	-7.01776544	-26.0814364	-3.178479e+02	-2008.13481	1170.52139	787.891492
26	664.077102	-781.3556934	191.661951	53.1642805	-59.976313	130.4812021	67.050801	-26.676732	-98.737071	30.059132	⋯	68.255121	-8.069716	123.94861	-530.98910	-2.98709097	-23.1657553	-2.791274e+02	-442.20310	396.60028	-236.230754
27	-585.837817	-146.4556323	-79.316418	-1347.6261498	-78.887653	144.6772846	-43.179185	-94.733714	-160.553885	-194.771574	⋯	157.768514	50.080383	576.90657	1042.51356	0.19581193	-26.9374327	-3.267655e+02	-2494.52320	2190.80534	338.174186
28	-653.152268	-97.5267486	31.977857	-947.8587136	22.100354	25.0497334	29.398697	-29.861465	-88.264167	28.762554	⋯	-243.678912	-282.236249	-1689.20193	120.67303	-3.90401021	-25.2537579	1.443872e+02	5480.58966	-4321.30940	-129.610861
29	55.788175	-10.2435118	-40.000226	307.3457058	-24.040558	48.5029583	-23.218082	-15.128389	-23.528533	-14.400644	⋯	78.870453	55.507651	395.16955	65.49953	0.25486050	-3.8342398	-7.791548e+01	-1350.35689	1094.64179	47.785784
30	1813.825937	-181.2747876	-180.715310	562.2916846	-159.828617	-1740.4167157	-47.966774	56.252528	-84.067276	-105.811492	⋯	275.043947	372.520519	2444.54940	-1854.07175	17.55692188	96.3270587	2.138224e+02	-7420.07437	5750.84320	324.320594
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋱	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
123	800.058491	61.3916545	23.6207608	41.00125296	29.81712981	65.3548761	-47.0024461	166.25834653	-323.8854391	15.60072914	⋯	-103.1250466	65.368297	383.71508	-743.746946	7.438724353	47.3268382	-82.28789237	188.75554	-458.109297	61.918251
124	2947.647093	-29.8890440	-59.3373313	-65.60593840	-42.22429902	43.2474126	-54.6034442	32.01591793	-285.9959698	-5.63343405	⋯	-217.5310081	41.439347	-11.45375	-1194.923344	-13.041513329	-55.7575641	35.39177230	2240.14770	-2196.816522	-55.230807
125	650.691565	-22.6399143	18.6086714	-23.76414748	0.74260305	454.6891141	39.0025098	11.85809179	-1.4770582	-3.74737156	⋯	-82.9502864	-26.492330	-157.17349	1092.143893	-10.065140516	-59.1927361	-58.00724089	1191.89677	-1017.393117	32.758846
126	-2053.188940	-26.9891918	-251.4147789	-407.74781956	-271.71249785	-58.0564594	-298.0179629	80.83542990	1679.7733154	-28.99190468	⋯	48.3212549	-384.172009	-811.12880	-2368.017933	12.154418239	71.8345078	47.52448646	1091.74369	-338.771742	150.911590
127	28.398635	344.8655039	80.6970327	23.90935652	53.68405820	-21.1954960	61.0120712	13.77804180	48.7825846	-11.89304352	⋯	-87.3634556	-16.819867	-392.06075	207.986181	-3.341088992	-7.1847198	-8.75487172	1380.33275	-1146.843728	-30.903050
128	1652.394837	-18.5437160	13.5366665	-0.46772022	-28.56638697	574.9569720	63.7235976	-38.26612942	-1.1907369	10.47812523	⋯	51.1943935	40.807042	274.27546	-470.887171	-18.493387296	-46.6744071	-20.57785068	-773.06630	648.263024	6.891148
129	-1067.485413	9.5874385	-13.1565656	-47.45169478	10.81515486	-19.8221702	-7.7188675	-55.12022715	-323.9848925	-21.76113054	⋯	90.6248354	-44.227842	-179.12264	124.481459	1.784397369	-0.9224876	-15.45758875	-334.83520	451.355644	58.312300
130	-83.299810	-600.9557245	-602.0676408	-494.28585877	-572.60006215	-495.9003197	-498.7706469	-625.26454890	-629.4609064	4.08961069	⋯	234.6494568	104.859117	870.76414	287.396885	5.610168739	3.5299978	11.42519358	-3742.48893	3180.671542	-13.599112
131	-500.388376	-100.7444319	-41.0052268	-123.51248352	-38.70000863	419.2369592	-20.2592642	-112.36047244	-93.6399324	22.85031468	⋯	71.9661143	-44.915827	16.31502	250.435384	0.146531687	-23.1274124	36.53224574	-319.22156	378.598779	-87.869834
132	8.802451	0.9259852	0.1466575	-35.54295465	3.75696625	-4.4532138	-1.5148811	2.49125333	1.4369049	0.07987611	⋯	-13.3112514	-5.333722	-55.20828	-6.758667	0.021471158	0.9692705	1.42370423	206.52532	-176.727042	-3.393562
133	-574.585355	-26.4385586	30.9981925	-0.48950398	8.68690633	-68.3899730	21.3309851	206.23368450	-30.9631918	-14.10714088	⋯	-48.1543055	-35.412977	-281.78832	581.417489	4.296896360	14.9955201	-17.84923782	655.68872	-512.217089	-28.054961
134	454.500049	1012.2388149	934.6414852	1197.85750224	1175.42657852	1265.7067485	1329.2094889	1091.38205044	1182.6563588	-64.40873807	⋯	7.8453021	111.833517	891.25368	873.364218	-3.178043642	-19.8790108	-222.49138346	-1710.01624	1186.529919	642.223465
135	-150.903595	5.3216677	0.1825169	-0.07368799	4.84874635	-14.7152423	0.9646185	-42.18243278	1.1755574	-0.81296372	⋯	0.7278599	1.842843	-17.41462	56.818181	1.251827572	2.3360857	-3.94616485	-5.36159	9.265935	4.466258
136	-1021.314405	-98.7238942	-51.7666548	-56.12785266	86.26860717	-69.7897065	12.3052320	-99.70307559	-398.7149637	-12.68762511	⋯	-112.3714441	-170.273003	-1025.43441	859.036920	0.671894044	-11.2785510	166.10599705	2907.17181	-2241.137696	-30.219180
137	-92.295301	-14.4984765	-24.8568219	-278.60030620	6.25216339	-20.4906498	-27.2341800	-56.33746948	-29.0934096	-2.40359503	⋯	55.9666164	-18.999577	-124.04694	-330.979265	-2.702248413	8.6784197	4.80610349	-230.31114	253.179079	-53.842602
138	29.112456	6.2840519	-5.7148507	3.75601069	0.04182485	4.2364066	-65.8123590	0.07014357	3.3992650	-4.64612042	⋯	15.1197676	14.670682	76.52154	-53.301021	-0.003368986	1.0360532	0.07268611	-260.94394	207.224587	2.462129
139	-190.786378	-9.3587049	66.6020636	-25.18837097	-6.26675334	2.4747330	-8.4662958	-14.49620417	-12.9474269	-2.39101898	⋯	5.1460866	-25.033125	-101.37708	-144.120610	0.299818551	0.7977554	-6.17979398	203.10201	-126.714954	-5.314948
140	330.859345	-129.9659431	5.5210239	38.42625308	16.24328158	6.4256437	8.1633331	40.90311030	14.3955041	-14.14857137	⋯	-99.0579197	-16.321465	-210.89079	46.916450	-0.096039739	5.2979184	11.32560912	1198.31423	-1080.417830	9.515088
141	253.134566	880.4882114	-163.4244807	-234.81429533	-100.04673237	-150.4922696	-113.0972300	-127.79823095	-64.0017849	-91.56752375	⋯	78.9704299	137.112838	876.59884	-1425.273784	8.486629115	48.6511587	206.46151822	-2561.23913	1998.559776	-43.022044
142	-1745.948637	-41.2439140	-83.2341799	37.23970487	-432.66316954	-160.0491324	-125.5077136	-8.75004942	-80.0299850	-3.83491779	⋯	50.5009435	27.191511	183.05972	453.550421	26.675238798	86.9148870	-31.31653430	-1106.89153	813.977068	-72.669730
143	398.622344	-8.1922737	-251.4832083	18.17004758	6.92811163	3.0755669	39.7296215	-49.12701050	-0.4386896	-12.41087106	⋯	82.8326631	90.150448	463.56521	215.575350	-2.729174419	-11.6307711	8.21053100	-1612.08273	1294.803945	43.402582
144	495.109581	76.7131861	155.8523185	1616.63051301	-10.08254805	36.0587687	-91.7614033	78.99475089	14.5362941	85.33661159	⋯	59.8647807	99.175192	569.12249	-73.580625	-0.754967183	51.2928725	-349.38696081	-2112.03120	1610.780190	-224.678098
145	-112.772205	1.4492315	3.5464765	-1.57302163	5.05021181	-0.8185177	-8.1049185	3.97037910	-61.0929670	2.21886797	⋯	-11.7382865	-27.246351	-143.15998	34.480805	-0.144896684	-0.5665661	-3.77722152	391.58037	-301.389067	-1.949472
146	-88.283534	10.7048817	13.6928018	-18.11258396	8.55892699	-9.0865772	-7.5236115	101.69692060	14.7320202	5.25198506	⋯	-38.5700253	-16.820777	-123.25312	-70.166772	1.358316332	0.2309205	6.74864314	590.38499	-498.090707	-7.773714
147	-403.212718	642.6271261	77.4380182	46.53256248	-17.00959592	-0.2314690	-93.2181807	87.27347550	2.3559446	55.24649827	⋯	-103.5916356	-72.518469	-510.22809	-189.573987	1.980178299	10.1587969	-50.23659840	1758.70884	-1436.854184	-185.393703
148	-594.893674	73.1212522	-61.2223178	-13.27564523	19.76349388	-15.9823549	-51.5921980	-16.02328613	-319.4843593	3.24013286	⋯	123.4359240	-6.382326	77.13897	-165.830729	0.151546512	-8.2257977	129.99264287	-986.94052	954.761274	-21.998743
149	1023.282469	-665.0285166	-730.9607809	-749.49772609	-736.59755244	-722.8070736	-807.9038628	-758.16970626	-728.9877714	0.02174726	⋯	148.3244343	64.500200	454.34350	-1376.032904	-1.702162127	12.2428383	45.45495230	-2115.20826	1793.213430	-199.236016
150	1558.029347	-154.1881035	120.0579567	16.24256690	11.15542693	130.1763384	1270.3614170	-34.86162805	-40.3051543	5.84729410	⋯	-186.0803631	-85.084341	-508.60537	133.482101	-16.058363346	-17.4083172	-1.28801067	2502.81290	-2107.631361	-39.682898
151	-5753.348399	-283.1742933	-81.9610343	-433.54419097	46.25744706	-222.4814789	58.8772124	622.60953892	-315.4128362	-95.29155972	⋯	-64.4745392	-250.327195	-1958.69186	2183.369837	20.492713471	-19.3700573	51.38129846	4373.76074	-3069.737778	-182.814538
152	-1051.184047	1111.5842587	236.2877293	-152.92290331	27.40101114	15.2258545	-72.6077141	-71.66937291	-1.3939597	105.33035663	⋯	61.6526277	39.901618	-122.85567	-939.469987	4.589945993	-6.3958662	-372.67379036	-20.64059	88.881614	-478.220047

$sigma

1

17906.6540203489

2

17887.0601846758

3

15099.3420379582

4

17884.5571388776

5

17822.4649458087

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17757.0504364998

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17089.6514954561

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17736.0113562899

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17448.8030553143

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17913.0263070371

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17891.0251168066

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17834.5062502297

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17595.4886291727

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17569.9777727493

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17863.1844440497

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17821.1735453317

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17743.5082530422

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17886.34845863

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17883.452531189

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17341.4725437389

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17809.0353269

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17913.180879443

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17899.7175935982

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17848.0348390382

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17872.6517124482

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17864.4706518502

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17880.2804221379

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17910.5658815121

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17789.4066680959

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17679.8583093586

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17888.2005815948

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17853.4850582687

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17846.2894282791

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17714.9591554208

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17832.8426708156

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17891.6238505073

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17910.2736086341

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17743.6817734505

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17737.5417361024

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17819.6051008803

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17901.1355680632

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17888.5338507998

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17871.9973315458

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17571.3057179599

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17871.9939663496

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17898.5650443321

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17895.2706943831

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17760.3652928931

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17902.8551449212

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17912.4458814363

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17443.4071468659

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17911.5121633411

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17909.4535711728

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17898.9307823286

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17895.1683135231

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17911.1312650175

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17908.91911097

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17902.7536675233

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17897.4586739578

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17896.1197102124

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17901.7976951057

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17912.4004686388

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17883.842938291

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17911.6355902414

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17911.7756707718

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17912.5565907025

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17889.313642061

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17887.5262937237

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17912.7828451586

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17886.8216582173

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17909.5807399501

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17908.7367797183

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17889.0996272972

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17889.2996596558

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17903.1867859328

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17910.8966066372

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17905.2008041889

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17888.7043755283

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17893.5764010179

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17886.4938191404

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17909.2494255818

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17898.5038033612

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17910.6280153022

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17909.4895145249

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17901.2696556038

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17905.5935984022

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17850.6376622156

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17898.9117303876

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17861.3539123082

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17896.2028221481

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17899.2146312232

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17912.8497381086

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17902.9887822884

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17906.9448750251

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17904.7775820277

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17802.967772778

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17906.7788234717

100

17906.767137999

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17850.0362535534

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17912.3072531358

103

17912.0990500603

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17906.1358124593

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17894.6999752668

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17893.4817301111

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17865.4226418284

108

17912.7093566519

109

17881.8827689457

110

17901.5862263582

111

17857.9327335691

112

17908.5470324343

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17912.3191153936

114

17911.8259410868

115

17846.1682275826

116

17905.3368336792

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17912.7290819046

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17909.1127791272

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17912.9451193654

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17911.1084831968

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17909.9328802168

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17639.1199593362

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17898.214712596

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17907.0711389648

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17907.6783817333

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17651.3093160309

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17907.004245889

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17903.7072106875

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17905.4560963428

130

17903.6119803269

131

17906.5581433564

132

17913.1498733298

133

17909.3822358245

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17861.8380025929

135

17913.0796036415

136

17904.3046024842

137

17911.0956449543

138

17913.0471672001

139

17912.9294780508

140

17912.1486258189

141

17839.1627925875

142

17901.8111018555

143

17910.5550386603

144

17839.6341915178

145

17912.9004952299

146

17912.5657496594

147

17889.6167746063

148

17903.5117904321

149

17893.5963691855

150

17870.045464531

151

17808.6704614345

152

17858.7205376198

$wt.res

1

4547.73361929478

2

9397.4956124771

3

88407.6711652987

4

10415.1793361701

5

18522.9256009572

6

23313.0405587345

7

-53633.6431981562

8

25054.2100275169

9

-40904.5086717425

10

-799.146684744017

11

9221.67274438812

12

-16302.0655866545

13

-46881.4343494547

14

-33846.4516071879

15

-36906.7010476849

16

-13978.3454008374

17

-18255.0597233793

18

25414.3073452722

19

-9945.46036856484

20

8064.6799524558

21

42639.2996046658

22

-20276.3184173676

23

234.224150505587

24

7357.87911121067

25

-15280.1251273588

26

-11973.1315225775

27

-12798.6077996739

28

-11228.9775756711

29

3107.3296999475

30

-21054.4225487541

31

-28982.6974900659

32

-9602.6777193418

33

-15091.8982278063

34

-16386.6685980649

35

-28417.8626189481

36

-17468.1236414896

37

8731.81000730885

38

-3196.42797826252

39

-23719.3110868329

40

-23033.7342547911

41

18975.670766942

42

-6713.49904733997

43

8547.07430452008

44

-12703.0615448604

45

35811.0119779114

46

11754.8954527146

47

-7449.44639858739

48

-7775.2546182645

49

21765.2935705962

50

6380.54360101737

51

1687.59714471744

52

41325.2172142929

53

2449.55133163459

54

3810.57103782268

55

-7209.47096256423

56

8249.09789961371

57

-2859.24208038813

58

4010.2632020473

59

-5980.19457857839

60

7725.88899536566

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-8184.66094050342

62

-6384.7664256213

63

1792.44195344574

64

10182.8655808431

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-2353.21654871309

66

2389.9660740833

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1609.38702108936

68

9618.73802871453

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10037.0899770632

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-1284.72916948543

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10286.3975617693

72

-3579.77860759976

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4205.9466588359

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9789.75341152634

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-9503.4592825784

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-6298.517490206

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3027.98340490792

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-5315.31839654673

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-9835.8805413945

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-8721.64694365529

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-9276.67543600023

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3936.5806561698

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6477.61038049491

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-3135.48129870082

85

3784.1408383193

86

6923.57546356336

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-5236.06791766551

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-15694.7470707597

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-5413.88266921189

90

-3269.46092920229

91

13437.0067415927

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8160.33809109713

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-7476.14704221492

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985.477312657082

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-5958.69443571983

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-4496.3057438234

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4669.5304649602

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12931.537714453

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5011.20849955929

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4991.26848768361

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-15908.5349393203

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-1837.11940185569

103

2085.54721345792

104

-4735.64554385052

105

6552.75454524543

106

-8401.56291250545

107

13551.8842289014

108

-1199.5059075753

109

-11146.1885015905

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-6845.38275752683

111

14714.1888609504

112

-4387.25662692648

113

1791.07370174321

114

2373.45855718614

115

-10560.5979475899

116

-5208.23178464624

117

1349.09136928341

118

-3848.8382870097

119

-999.555060676321

120

2900.12612628948

121

3533.68449497894

122

33179.9379422187

123

-7697.12899838064

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-4511.81942857878

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4576.76709509668

126

31978.3299983404

127

4982.7865373311

128

6066.32680879122

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-5578.26442580293

130

6002.63914600385

131

5052.96184403839

132

-436.284201967167

133

3879.49802713941

134

-13468.6820619341

135

-686.614938444772

136

-5499.17802088991

137

-2719.00790416754

138

-771.813168564855

139

1031.90031335901

140

-2015.76917962377

141

17207.3547671985

142

-6392.74556117009

143

-3185.18489318517

144

16398.4227199604

145

-1099.69163591266

146

1575.75625382002

147

9640.81254734795

148

-6116.23519659539

149

8651.90204570458

150

12922.1254459594

151

20107.0744214936

152

14052.8622818209

influence.measures(model2)

Influence measures of
     lm(formula = 연봉.2018. ~ ., data = dt) :

       dfb.1_ dfb.팀명KT dfb.팀명LG dfb.팀명NC dfb.팀명SK dfb.팀명두산
1   -0.022926   0.020606   6.16e-03   1.28e-02   7.03e-02    -1.43e-04
2   -0.007024  -0.006335   1.05e-01   2.19e-02   1.98e-02     3.77e-04
3    0.348392  -0.783439  -1.08e+00  -9.87e-01  -1.20e+00    -1.52e+00
4   -0.013374   0.012806   1.14e-01   6.20e-03   1.20e-02    -7.38e-04
5   -0.012017   0.033339   1.47e-02   1.11e-02   9.00e-03     3.20e-03
6    0.054229   0.220339  -5.19e-02   9.67e-03  -1.59e-02    -1.22e-02
7    0.275261  -0.389590   1.98e-01   5.53e-02   5.35e-02    -3.34e-02
8    0.120207   0.027262   7.10e-03   3.33e-02  -8.32e-03     3.23e-01
9   -0.096438  -0.031977   9.99e-02  -9.13e-02  -2.80e-02    -5.71e-01
10   0.000195   0.010371   1.14e-02   9.87e-03   1.12e-02     9.90e-03
11   0.024501   0.010364   1.19e-02   9.32e-03  -2.37e-03    -4.01e-03
12  -0.101593  -0.027999  -2.59e-02   1.46e-02   2.99e-02    -2.41e-01
13  -0.160404   0.623989   6.24e-01   4.94e-01   6.02e-01     5.86e-01
14  -0.057362  -0.091681  -1.04e-01  -4.32e-02  -4.04e-02     3.70e-02
15  -0.008059  -0.089864  -3.45e-02  -6.44e-02  -5.23e-02     1.63e-02
16  -0.017346  -0.037956  -2.86e-02  -3.14e-02  -1.83e-02    -5.15e-04
17   0.093561  -0.035729  -2.17e-01  -8.67e-03  -2.29e-02    -1.56e-02
18   0.046928  -0.044389  -5.22e-02   4.19e-03  -4.18e-02     4.82e-02
19   0.075050   0.020881  -7.30e-02  -1.32e-04   3.96e-03     3.83e-04
20  -0.054532  -0.026525  -2.45e-02  -5.46e-02  -1.28e-03     7.36e-03
21  -0.089075   0.063087   6.47e-03  -7.34e-02   6.30e-02     7.89e-02
22   0.041105   0.021446   9.00e-03   7.42e-03  -1.96e-01    -7.12e-03
23  -0.000136  -0.000115  -5.72e-04   3.31e-03   3.14e-05    -2.97e-04
24   0.013779   0.002759  -5.51e-03   7.11e-03  -4.21e-03     5.44e-03
25   0.088775  -0.043681  -2.66e-02  -6.62e-03  -1.81e-01     2.44e-02
26   0.017682  -0.118719   2.88e-02   7.28e-03  -9.19e-03     1.90e-02
27  -0.015606  -0.022263  -1.19e-02  -1.85e-01  -1.21e-02     2.11e-02
28  -0.017384  -0.014812   4.80e-03  -1.30e-01   3.38e-03     3.64e-03
29   0.001482  -0.001553  -6.00e-03   4.20e-02  -3.68e-03     7.04e-03
30   0.048523  -0.027672  -2.73e-02   7.73e-02  -2.46e-02    -2.54e-01
31  -0.320376  -0.301160   2.30e-02  -9.09e-02   1.80e-02    -6.99e-02
32   0.025715  -0.001859   7.76e-03  -2.21e-02  -8.62e-03    -2.40e-03
33  -0.005311  -0.029511  -1.31e-02  -2.06e-02  -7.24e-03    -1.66e-02
34   0.017863  -0.015759  -2.46e-02  -1.30e-03  -2.08e-02     1.08e-02
35  -0.000764   0.036363   2.76e-02  -1.49e-02   2.89e-02    -5.32e-03
36   0.054772  -0.003522  -1.59e-01   2.99e-02   4.77e-03    -2.78e-02
37  -0.032835  -0.110457  -1.18e-01  -9.56e-02  -1.15e-01    -1.11e-01
38  -0.010694  -0.001456   1.14e-02   1.21e-02   7.48e-03    -1.55e-03
39  -0.087145   0.017071  -2.66e-01  -4.67e-02   9.14e-04    -9.59e-03
40   0.009530  -0.037652  -5.66e-02  -3.74e-01  -2.15e-02    -1.85e-02
41   0.031349  -0.051650  -4.86e-02   1.75e-02  -3.12e-02     5.04e-03
42  -0.048213   0.076360   9.98e-02   7.49e-02   9.05e-02     7.37e-02
43  -0.042520   0.041313   1.01e-01   9.71e-03   9.81e-03    -1.35e-02
44   0.041997  -0.004640  -6.71e-03   7.16e-03  -1.01e-02     9.07e-03
45   0.406510  -0.075242   3.12e-01   2.88e-02  -8.42e-02     6.44e-02
46  -0.053910  -0.045951  -6.84e-03  -1.38e-02   1.30e-01    -1.91e-02
47   0.035042   0.006549   1.01e-02   8.44e-04   9.81e-03    -9.24e-02
48   0.067646   0.004315  -1.41e-02  -1.83e-02  -1.03e-01     2.79e-03
49   0.063957   0.036333  -3.73e-02   9.19e-02  -8.64e-02     3.40e-01
50  -0.024285  -0.004843   3.15e-03   9.25e-03   4.00e-03    -3.20e-03
51   0.000504  -0.000238   1.38e-03   2.19e-02   3.43e-03    -1.35e-03
52   0.091024  -0.045568  -9.54e-02  -2.23e-02  -6.31e-02     7.70e-02
53  -0.008857  -0.003444  -3.76e-03  -6.47e-03  -8.38e-04     2.64e-02
54  -0.006932  -0.009428  -5.65e-03  -8.12e-03   4.02e-02    -3.03e-04
55   0.009093   0.116284   8.59e-02   1.03e-01   8.79e-02     9.68e-02
56   0.011220   0.009699  -5.75e-03  -1.53e-02   1.20e-02     4.68e-03
57  -0.007994   0.003786  -2.92e-02   6.01e-05   7.71e-04     6.09e-04
58   0.000285   0.042380  -1.74e-03   6.31e-03  -2.56e-03    -2.79e-03
59   0.008408  -0.008265   3.70e-03   2.47e-03   3.37e-03     8.11e-03
60  -0.012635  -0.024707  -1.04e-02  -2.21e-02  -7.99e-03    -4.50e-03
61  -0.049517   0.099350   9.94e-02   8.68e-02   1.00e-01     8.18e-02
62   0.062103  -0.015566   1.13e-03   3.37e-03  -1.77e-02     4.44e-03
63   0.007787   0.017072   7.49e-04   2.05e-03  -5.22e-04     3.13e-03
64  -0.033691   0.057774  -1.84e-02  -1.92e-02  -1.16e-02     4.75e-03
65   0.016013   0.010197   9.60e-04   8.60e-03  -3.94e-05     2.84e-03
66  -0.014620  -0.003171   2.41e-02  -3.09e-03   3.91e-03    -3.71e-03
67  -0.005305   0.010897  -1.58e-03  -4.76e-03  -1.22e-03     7.78e-04
68   0.006706  -0.003586   1.23e-02   2.13e-03   9.50e-02     7.16e-03
69  -0.031523  -0.007001  -4.26e-03  -9.53e-03   1.07e-01    -1.76e-02
70  -0.006162  -0.002657  -1.08e-03  -4.23e-03  -2.00e-03    -1.10e-03
71  -0.017653  -0.013326   9.48e-02  -1.63e-02   8.81e-03    -5.82e-03
72   0.002912  -0.005460  -6.89e-04  -1.08e-02   2.76e-03    -3.23e-03
73   0.005191   0.038692   1.94e-03   9.56e-03   3.51e-03    -8.05e-04
74  -0.034814  -0.006259  -1.47e-03  -5.88e-03   1.04e-01    -4.74e-03
75  -0.031325   0.140722   1.27e-01   1.20e-01   1.34e-01     9.45e-02
76  -0.027124   0.073127   6.93e-02   6.38e-02   6.64e-02     6.92e-02
77   0.015650  -0.000885   2.27e-02  -1.35e-03  -4.93e-03     7.22e-04
78  -0.032079  -0.022932  -5.90e-03  -2.78e-03  -5.16e-02     3.05e-03
79  -0.060957  -0.013845  -1.18e-02  -1.84e-02  -3.66e-03    -2.93e-02
80   0.014737  -0.021016  -1.36e-02  -1.97e-02  -8.66e-02     8.34e-04
81  -0.270983  -0.009102   2.70e-02  -3.43e-02  -6.60e-02    -2.80e-02
82   0.008466  -0.002720  -7.95e-04  -6.50e-04   9.73e-04    -4.53e-04
83  -0.057206  -0.010555  -1.49e-02  -9.26e-03   1.42e-02     1.13e-03
84  -0.000782   0.007458  -3.08e-02   4.02e-03   2.01e-05     1.06e-04
85   0.004650  -0.044358  -4.65e-02  -3.69e-02  -4.16e-02    -5.17e-02
86  -0.027375  -0.003043   5.31e-02  -1.31e-02  -3.75e-03    -7.43e-03
87  -0.017976  -0.011762  -1.80e-02  -2.61e-02  -2.31e-02    -6.09e-03
88  -0.064968   0.023977   1.19e-02   4.65e-02   2.23e-02     6.05e-03
89  -0.226454  -0.035068  -5.30e-02  -3.14e-02   5.01e-02    -1.18e-03
90   0.014097   0.018150   1.29e-02   1.49e-02   4.15e-03     1.86e-02
91   0.097817  -0.002872  -5.46e-02  -2.45e-02   1.06e-01    -1.69e-02
92  -0.015414  -0.011112  -9.45e-03   1.01e-01  -3.89e-03    -1.68e-02
93  -0.036223   0.003334   4.62e-04  -7.78e-03   5.42e-03     4.03e-03
94   0.001385  -0.000112  -3.03e-03  -5.23e-03   2.65e-04     1.19e-02
95  -0.096377   0.071904   5.91e-02   4.50e-02   6.43e-02     6.23e-02
96   0.018624  -0.041578   8.20e-03   1.51e-03   6.93e-03     3.37e-02
97   0.017663   0.069924   2.19e-02   1.24e-02   1.59e-02     5.61e-02
98  -0.185955   0.027450   1.93e-01   2.65e-01   1.72e-01     2.21e-01
99  -0.001512  -0.012467  -8.47e-03  -1.33e-02  -7.15e-03     6.45e-02
100 -0.003515  -0.008462  -6.01e-03   5.86e-02  -5.24e-03     1.45e-03
101 -0.094192   0.002876   7.96e-04   1.17e-02   2.99e-03     1.15e-02
102 -0.010149   0.001962  -4.41e-03  -4.61e-03  -2.12e-02     1.04e-05
103  0.003916  -0.000934   2.79e-03   2.45e-02   2.10e-03     1.64e-03
104 -0.004561  -0.004325   3.05e-03   7.18e-03  -1.05e-03    -3.73e-02
105 -0.092550   0.017766   2.63e-02   4.18e-02   2.93e-02     9.59e-02
106  0.000833   0.011672   8.92e-03  -2.68e-03   2.01e-02     8.67e-03
107 -0.039583  -0.008677  -1.19e-02   1.47e-01   1.38e-04    -1.41e-02
108  0.020107  -0.004696  -9.37e-04  -1.29e-04  -1.13e-03     3.56e-03
109  0.060305   0.024186   2.36e-02   3.52e-02   1.60e-02     1.38e-02
110 -0.015632  -0.015663  -1.37e-02  -1.65e-02  -1.03e-02    -5.27e-04
111 -0.030442  -0.017239  -2.97e-02  -1.64e-02   1.23e-01     2.61e-03
112  0.000623  -0.002578  -4.92e-03  -1.68e-03  -2.36e-03     5.25e-04
113  0.022930   0.004442  -1.76e-03   2.04e-03  -1.95e-03     4.60e-03
114 -0.004953   0.000527   1.76e-03   2.74e-04   2.34e-02     1.20e-03
115  0.221130   0.175119   1.19e-01   2.31e-01   1.76e-01     1.50e-01
116  0.066855   0.017948   1.14e-02   2.77e-02  -4.25e-02     2.20e-03
117  0.003916  -0.000784  -8.51e-04  -1.71e-03  -1.16e-03     2.25e-03
118  0.013705  -0.012557  -6.20e-02  -1.26e-02  -1.66e-02     6.75e-04
119  0.000476  -0.008820   4.81e-05   1.69e-03   5.50e-04     9.28e-04
120 -0.001290   0.026339  -9.73e-05  -5.32e-03  -1.33e-03    -2.74e-03
121  0.010176   0.044036   1.65e-02   1.67e-02   1.34e-02    -1.07e-03
122  0.213848  -0.001271   4.01e-03   6.29e-02  -2.17e-02     5.31e-03
123  0.021273   0.009314   3.54e-03   5.60e-03   4.56e-03     9.49e-03
124  0.078336  -0.004533  -8.90e-03  -8.96e-03  -6.46e-03     6.28e-03
125  0.017292  -0.003433   2.79e-03  -3.25e-03   1.14e-04     6.60e-02
126 -0.055356  -0.004152  -3.82e-02  -5.65e-02  -4.22e-02    -8.55e-03
127  0.000755   0.052298   1.21e-02   3.27e-03   8.21e-03    -3.08e-03
128  0.043922  -0.002813   2.03e-03  -6.39e-05  -4.37e-03     8.35e-02
129 -0.028372   0.001454  -1.97e-03  -6.48e-03   1.65e-03    -2.88e-03
130 -0.002214  -0.091151  -9.03e-02  -6.75e-02  -8.76e-02    -7.20e-02
131 -0.013299  -0.015278  -6.15e-03  -1.69e-02  -5.92e-03     6.09e-02
132  0.000234   0.000140   2.20e-05  -4.85e-03   5.74e-04    -6.46e-04
133 -0.015268  -0.004009   4.65e-03  -6.69e-05   1.33e-03    -9.93e-03
134  0.012109   0.153892   1.40e-01   1.64e-01   1.80e-01     1.84e-01
135 -0.004009   0.000807   2.74e-05  -1.01e-05   7.41e-04    -2.14e-03
136 -0.027147  -0.014974  -7.76e-03  -7.67e-03   1.32e-02    -1.01e-02
137 -0.002452  -0.002198  -3.73e-03  -3.80e-02   9.56e-04    -2.97e-03
138  0.000773   0.000953  -8.57e-04   5.13e-04   6.39e-06     6.15e-04
139 -0.005069  -0.001419   9.98e-03  -3.44e-03  -9.58e-04     3.59e-04
140  0.008790  -0.019703   8.28e-04   5.25e-03   2.48e-03     9.33e-04
141  0.006753   0.134032  -2.46e-02  -3.22e-02  -1.54e-02    -2.19e-02
142 -0.046414  -0.006256  -1.25e-02   5.09e-03  -6.62e-02    -2.32e-02
143  0.010592  -0.001242  -3.77e-02   2.48e-03   1.06e-03     4.46e-04
144  0.013208   0.011677   2.35e-02   2.22e-01  -1.55e-03     5.26e-03
145 -0.002996   0.000220   5.32e-04  -2.15e-04   7.72e-04    -1.19e-04
146 -0.002345   0.001623   2.05e-03  -2.47e-03   1.31e-03    -1.32e-03
147 -0.010726   0.097548   1.16e-02   6.36e-03  -2.60e-03    -3.36e-05
148 -0.015813   0.011091  -9.18e-03  -1.81e-03   3.02e-03    -2.32e-03
149  0.027215  -0.100926  -1.10e-01  -1.02e-01  -1.13e-01    -1.05e-01
150  0.041492  -0.023431   1.80e-02   2.22e-03   1.71e-03     1.89e-02
151 -0.153745  -0.043180  -1.24e-02  -5.95e-02   7.11e-03    -3.25e-02
152 -0.028012   0.169025   3.55e-02  -2.09e-02   4.20e-03     2.22e-03
    dfb.팀명롯데 dfb.팀명삼성 dfb.팀명한화    dfb.승    dfb.패    dfb.세
1       0.009233     1.62e-02     2.67e-02  3.74e-02 -3.40e-02 -6.95e-03
2       0.029441     1.16e-02     2.10e-02 -8.32e-02  9.49e-02 -6.82e-02
3      -1.378418    -8.11e-01    -7.67e-01  2.92e+00 -1.39e+00  6.34e-01
4       0.002032     1.80e-02     2.26e-02 -7.64e-02 -5.17e-02 -2.77e-02
5       0.239648     8.49e-03     3.36e-02 -4.26e-03 -8.09e-02  1.06e-02
6      -0.014072    -4.59e-03     8.88e-03 -3.02e-01  2.56e-01 -2.51e-01
7      -0.039783     1.81e-01     1.36e-01  7.85e-02 -6.48e-01  1.49e-03
8      -0.005425     1.96e-02     3.85e-02  7.61e-02  2.02e-01 -1.12e-01
9      -0.004067    -3.38e-02    -7.77e-02  2.22e-01 -1.89e-01  2.99e-01
10      0.010969     1.02e-02     1.07e-02  1.02e-02  3.84e-03  2.12e-03
11     -0.009146     1.02e-01     1.27e-02  3.18e-02  9.35e-03  5.30e-03
12      0.011161    -2.33e-02    -1.30e-02  6.75e-02  2.41e-01 -1.74e-01
13      0.575851     5.35e-01     5.93e-01  8.75e-02 -1.95e-01  1.92e-01
14     -0.431867    -6.38e-02    -7.72e-02 -7.60e-02  1.05e-01 -2.12e-02
15      0.023064    -4.47e-01    -1.09e-01 -2.01e-01  1.83e-01  2.90e-02
16     -0.157978    -3.90e-02    -3.80e-02 -9.77e-02  4.50e-02  3.30e-02
17      0.000995    -8.40e-04    -1.23e-02 -8.89e-02  2.34e-01 -1.67e-01
18     -0.024085     2.29e-01    -3.24e-02 -5.77e-03  1.65e-02  9.22e-02
19      0.015902     2.88e-02     2.55e-02  5.29e-02 -8.23e-02  5.67e-02
20      0.137969     3.23e-03    -2.74e-02 -1.56e-01 -3.07e-02  4.02e-01
21     -0.071542     3.61e-02     5.14e-01  4.37e-01  6.33e-03  8.90e-01
22      0.004378     1.44e-02     2.01e-02  2.99e-02  5.81e-02 -9.62e-02
23      0.000408    -1.68e-04    -1.84e-04 -2.02e-03  1.75e-03  1.38e-03
24     -0.009508     9.05e-03     6.54e-02 -2.73e-03 -1.85e-02  7.45e-03
25      0.033261    -1.67e-03    -1.32e-02 -1.68e-01  4.92e-02 -5.50e-02
26      0.009667    -3.98e-03    -1.52e-02  2.88e-02 -2.32e-02  9.69e-02
27     -0.006228    -1.42e-02    -2.47e-02 -1.87e-01 -1.78e-01  8.53e-02
28      0.004237    -4.46e-03    -1.35e-02  2.76e-02  1.04e-01  4.26e-03
29     -0.003341    -2.25e-03    -3.60e-03 -1.38e-02 -1.68e-02  6.51e-03
30     -0.006948     8.44e-03    -1.30e-02 -1.02e-01  8.92e-02 -2.77e-01
31     -0.021949    -7.73e-02    -4.32e-02 -1.13e-01 -8.46e-02 -2.02e-01
32     -0.119558     4.32e-03     1.82e-03 -2.32e-02 -5.36e-02  1.82e-02
33     -0.194309    -1.17e-02    -1.14e-02  1.12e-01  8.08e-02 -2.21e-02
34      0.002183    -1.57e-02    -1.57e-01 -1.02e-01 -1.80e-02 -2.88e-02
35      0.016789     1.27e-02    -2.05e-01 -2.91e-02 -1.50e-01  8.72e-02
36     -0.006467     2.71e-02     1.90e-02 -3.77e-04  2.39e-02 -2.04e-01
37     -0.115662    -1.18e-01    -1.26e-01  1.25e-01  1.04e-01 -1.47e-02
38      0.004817    -2.38e-02     2.46e-03  6.15e-03 -2.18e-02 -2.58e-02
39     -0.048013     2.80e-03    -1.06e-02 -4.35e-01 -3.90e-01  9.55e-02
40      0.048268    -1.07e-01    -2.33e-02 -5.59e-03  1.30e-01 -5.41e-01
41     -0.008150    -3.36e-03     1.32e-01 -2.31e-01  7.66e-02 -9.49e-02
42      0.085163     6.92e-02     7.81e-02  3.60e-02  5.21e-02 -2.12e-02
43     -0.025771     5.69e-02     2.87e-02 -2.64e-02 -1.05e-01  2.80e-02
44      0.000546    -9.34e-03    -1.22e-01  2.09e-02  6.34e-02  7.47e-02
45      0.022151     6.01e-03    -3.41e-02 -2.57e-03  3.70e-01 -2.15e-02
46     -0.014733    -3.75e-02    -4.87e-02 -1.11e-01  1.70e-01 -1.38e-02
47      0.013744     2.36e-03     1.22e-02  2.71e-02  4.17e-02  5.03e-02
48      0.000401    -3.77e-03     5.14e-03  5.99e-02 -1.51e-02  1.20e-01
49     -0.087051     1.26e-01     1.07e-02 -2.98e-01 -2.14e-01 -3.41e-01
50     -0.003382     6.93e-02    -9.47e-04  2.92e-03  1.38e-02 -3.90e-02
51      0.003364    -2.96e-03     1.21e-03 -2.93e-03  3.25e-03 -1.10e-02
52      0.579514    -1.06e-01    -8.18e-02 -2.45e-01  1.34e-01  9.64e-02
53     -0.001511    -3.04e-03    -2.62e-03  2.34e-02  1.86e-02 -2.81e-03
54      0.005150    -1.34e-02    -5.87e-03  1.58e-03  3.02e-02  2.58e-03
55      0.078032     1.10e-01     1.12e-01  5.31e-02  6.71e-03 -4.08e-03
56      0.000498    -9.47e-03     8.79e-02  1.67e-02 -5.05e-03 -1.57e-02
57      0.000483     1.14e-03     2.59e-03 -6.30e-03 -1.51e-02 -1.51e-03
58     -0.004085     5.52e-03     2.21e-03 -4.20e-02 -1.44e-02 -4.82e-02
59     -0.073295    -3.17e-03    -8.87e-03 -7.08e-02  2.14e-02  6.31e-02
60     -0.013516     5.89e-02    -1.31e-02 -7.04e-02  1.75e-02 -8.33e-02
61      0.087411     1.01e-01     9.90e-02  4.65e-02  3.28e-02  2.08e-02
62     -0.003964     1.77e-02    -5.97e-02 -2.56e-02  1.30e-02 -1.91e-02
63     -0.000713     3.94e-03     1.82e-03  1.17e-02 -3.94e-03  1.66e-03
64      0.004667    -4.21e-02    -4.56e-02 -2.09e-02  1.23e-01  5.95e-02
65     -0.004333    -1.00e-02     9.33e-03 -2.29e-04 -3.14e-02 -7.66e-03
66      0.000359    -3.52e-03    -2.41e-03 -6.35e-03 -2.20e-03 -6.59e-03
67     -0.000325    -3.82e-03    -3.16e-03 -4.63e-03 -8.07e-04  2.86e-03
68      0.006226    -3.01e-04    -7.57e-04  1.06e-01  4.16e-02 -2.54e-02
69     -0.012955    -6.58e-03    -5.23e-03 -7.31e-02 -4.64e-03 -4.94e-02
70     -0.001750    -1.34e-02    -2.88e-03  2.67e-03  3.42e-03 -3.81e-05
71     -0.004961    -1.98e-02    -1.19e-02 -4.21e-03 -4.47e-03 -1.11e-02
72     -0.047260    -2.41e-03    -7.89e-04  1.25e-02 -1.19e-02  5.41e-02
73      0.004467    -1.65e-03     5.46e-04  5.44e-03  4.34e-03  2.24e-03
74      0.013173    -2.86e-02    -1.08e-02 -1.77e-02 -1.11e-02  8.58e-03
75      0.114156     1.09e-01     1.32e-01  2.73e-02 -5.05e-03 -1.69e-02
76      0.060837     7.64e-02     7.30e-02 -9.19e-03 -1.32e-02 -1.31e-02
77     -0.004286     1.49e-03    -6.49e-05 -7.28e-03 -1.37e-02 -5.02e-03
78      0.008765    -1.91e-02    -1.20e-02 -3.63e-04  2.83e-02 -3.71e-02
79     -0.008887    -1.10e-01    -1.84e-02 -1.32e-02  5.80e-02 -4.22e-02
80      0.004413    -2.87e-02    -1.15e-02 -4.73e-02  2.72e-02 -3.14e-03
81     -0.002156    -4.51e-02    -3.12e-02  1.13e-02  4.85e-02  2.28e-03
82      0.047693     1.02e-03     9.42e-04  6.25e-03 -5.54e-03 -5.61e-03
83     -0.013003     4.82e-02    -2.34e-02  3.33e-02  1.32e-02  6.53e-03
84      0.001901     7.53e-03     6.90e-03 -7.71e-03 -4.46e-05 -4.82e-03
85     -0.043143    -4.23e-02    -4.63e-02 -1.63e-02  2.79e-03 -2.04e-03
86     -0.007360    -1.39e-02    -7.40e-03 -1.84e-02 -2.72e-02 -8.95e-03
87     -0.018623    -8.55e-03    -6.41e-02 -1.77e-02  2.19e-05 -1.25e-03
88      0.021526     8.60e-03    -1.23e-01  7.54e-02  7.76e-02 -2.51e-02
89     -0.004000    -1.04e-02    -1.78e-02 -1.45e-02  5.29e-02 -3.14e-02
90     -0.031702     1.15e-02     1.53e-02 -8.39e-03 -1.21e-02  1.97e-03
91     -0.008281    -3.32e-02    -6.09e-03 -1.42e-01 -8.98e-02 -4.16e-02
92     -0.005100    -1.22e-02    -1.38e-02 -7.01e-03  3.96e-02 -3.73e-02
93      0.001431    -6.91e-02     3.15e-04 -1.32e-03  2.13e-02 -1.15e-03
94     -0.002998    -6.58e-03    -1.05e-03  1.61e-03  2.31e-03  2.45e-03
95      0.049060     6.94e-02     6.55e-02 -2.90e-03 -9.48e-03 -1.37e-02
96      0.018122    -1.37e-02     8.04e-03 -2.34e-02  1.38e-02 -3.14e-03
97      0.015846     1.19e-02     1.51e-02  1.63e-02 -1.67e-02  1.27e-02
98      0.080352     2.07e-01     1.22e-01 -1.34e-03 -2.32e-02 -7.77e-02
99     -0.002660    -1.87e-02    -1.30e-02 -1.12e-02 -5.21e-03  6.02e-03
100    -0.002320    -1.13e-02    -1.01e-02  4.49e-04  4.94e-03 -8.42e-03
101     0.011926    -2.15e-02    -1.52e-01  2.65e-02  5.47e-02  1.86e-02
102    -0.003266    -5.93e-03    -2.01e-03 -1.74e-03  4.52e-04 -7.53e-04
103     0.002428    -1.04e-03     5.27e-04  1.09e-03  6.25e-03 -3.36e-03
104     0.004321     4.83e-03    -2.82e-03 -7.34e-03 -7.88e-03 -9.84e-03
105     0.053140     1.64e-02    -1.17e-03  1.87e-02  5.65e-02  2.03e-02
106     0.010466    -6.98e-02     1.53e-02 -1.12e-02  2.83e-02 -1.49e-02
107    -0.025461    -4.29e-03    -3.65e-03 -3.79e-02 -3.90e-02 -8.79e-02
108    -0.003759    -5.15e-03     9.97e-04 -1.76e-03 -2.78e-04 -2.98e-03
109     0.024666     2.67e-02    -6.90e-02  7.56e-03  1.40e-02  2.43e-02
110    -0.007036    -7.47e-02    -1.70e-02 -2.68e-02  8.18e-03 -6.17e-03
111    -0.009083    -1.44e-02    -2.53e-02 -3.17e-03  1.29e-01  5.68e-02
112    -0.003488    -4.01e-02    -3.84e-03  8.64e-03  1.18e-02  3.94e-03
113     0.000678     1.66e-02     5.27e-03 -4.67e-03 -1.22e-02 -3.44e-03
114    -0.000362     8.16e-04    -4.67e-04  1.60e-03 -7.00e-03  3.50e-03
115     0.149409     2.00e-01     1.32e-01  6.41e-02 -3.00e-02  5.12e-02
116     0.009193     2.25e-02     2.24e-02 -2.10e-03 -8.00e-03 -6.13e-03
117     0.016857    -1.70e-03    -2.93e-04 -6.44e-03 -1.28e-03 -4.69e-03
118    -0.018649    -1.25e-02    -1.41e-02 -1.25e-02 -4.29e-03 -3.71e-03
119     0.000970    -8.59e-04     3.48e-04 -1.02e-04  3.10e-03 -1.43e-03
120    -0.000153    -6.37e-03    -1.51e-03 -7.30e-03 -7.40e-03 -8.15e-04
121     0.014385     1.31e-02     1.46e-02  1.02e-02  3.30e-03  2.13e-04
122     0.036620     2.59e-02     2.96e-01 -1.52e-01  9.86e-02 -5.19e-02
123    -0.006767     2.48e-02    -4.96e-02  1.49e-02 -3.55e-02  1.88e-02
124    -0.007858     4.77e-03    -4.38e-02 -5.39e-03  2.28e-02 -4.61e-03
125     0.005612     1.77e-03    -2.26e-04 -3.58e-03 -2.01e-02  1.10e-02
126    -0.043507     1.22e-02     2.61e-01 -2.81e-02 -3.04e-02  6.39e-02
127     0.008780     2.05e-03     7.47e-03 -1.14e-02 -2.84e-02  5.52e-03
128     0.009172    -5.70e-03    -1.82e-04  1.00e-02 -2.51e-04  2.25e-02
129    -0.001111    -8.22e-03    -4.96e-02 -2.08e-02 -2.19e-02 -9.12e-03
130    -0.071789    -9.32e-02    -9.64e-02  3.91e-03  7.10e-02 -1.98e-02
131    -0.002915    -1.67e-02    -1.43e-02  2.19e-02  4.77e-02 -4.06e-03
132    -0.000218     3.71e-04     2.20e-04  7.64e-05  2.45e-04 -6.54e-06
133     0.003069     3.07e-02    -4.74e-03 -1.35e-02 -5.46e-03  2.15e-03
134     0.191763     1.63e-01     1.82e-01 -6.18e-02 -1.03e-02 -1.21e-02
135     0.000139    -6.29e-03     1.80e-04 -7.77e-04 -1.51e-03 -1.60e-03
136     0.001771    -1.49e-02    -6.11e-02 -1.21e-02  2.45e-02  1.48e-02
137    -0.003918    -8.39e-03    -4.46e-03 -2.30e-03 -8.90e-03  3.65e-03
138    -0.009467     1.05e-05     5.21e-04 -4.44e-03 -2.71e-03  1.37e-03
139    -0.001218    -2.16e-03    -1.98e-03 -2.29e-03 -1.35e-03 -7.88e-04
140     0.001174     6.09e-03     2.20e-03 -1.35e-02  7.11e-03 -5.12e-03
141    -0.016337    -1.91e-02    -9.84e-03 -8.79e-02  4.34e-03 -8.88e-02
142    -0.018066    -1.30e-03    -1.23e-02 -3.67e-03  9.59e-03 -2.00e-02
143     0.005716    -7.32e-03    -6.72e-05 -1.19e-02  9.13e-03  7.56e-03
144    -0.013255     1.18e-02     2.24e-03  8.19e-02 -1.68e-01  5.64e-02
145    -0.001166     5.92e-04    -9.36e-03  2.12e-03 -4.94e-03  9.72e-04
146    -0.001082     1.52e-02     2.26e-03  5.02e-03 -3.92e-03 -4.12e-03
147    -0.013428     1.30e-02     3.61e-04  5.29e-02 -2.60e-02  1.17e-02
148    -0.007426    -2.39e-03    -4.89e-02  3.10e-03 -1.16e-02  1.30e-02
149    -0.116348    -1.13e-01    -1.12e-01  2.08e-05 -5.14e-02  1.30e-02
150     0.183189    -5.21e-03    -6.19e-03  5.61e-03  6.98e-02  2.15e-02
151     0.008519     9.33e-02    -4.86e-02 -9.17e-02  1.21e-01 -8.30e-02
152    -0.010477    -1.07e-02    -2.14e-04  1.01e-01 -1.35e-01  1.56e-01
     dfb.홀드  dfb.블론  dfb.경기  dfb.선발  dfb.이닝 dfb.삼진.9 dfb.볼넷.9
1   -9.66e-03  1.79e-03  0.009598 -1.37e-04 -7.32e-03  -0.005081  -0.006808
2   -5.77e-02  2.93e-02 -0.010553 -7.22e-02  2.09e-02  -0.067910  -0.042165
3    3.77e-01 -3.23e-01 -0.297602  7.16e-02 -1.62e-01  -0.411959  -0.023911
4    8.58e-04  4.74e-02 -0.035435 -3.20e-02  6.12e-02  -0.028449  -0.025890
5    2.01e-02 -3.71e-03 -0.107680 -9.99e-02  1.41e-01   0.073717   0.052048
6   -9.86e-02  1.04e-01  0.007422 -5.48e-02 -4.68e-02   0.011313   0.018227
7    3.69e-02  1.38e-01  0.120403  2.38e-01 -7.10e-02  -0.251230   0.023948
8   -7.32e-02  7.74e-03 -0.107786 -1.14e-01 -5.99e-03   0.094770   0.079082
9    2.19e-01 -4.35e-02 -0.543359 -5.21e-01  6.09e-01  -0.011381  -0.054863
10   7.14e-05 -2.59e-03  0.000688  8.79e-06 -4.52e-03  -0.004923  -0.002360
11   2.12e-02  1.01e-02 -0.065370 -4.38e-02  4.70e-02  -0.002978   0.013266
12  -1.85e-01 -9.35e-03  0.287263  1.58e-01 -3.51e-01  -0.110828  -0.125839
13   1.40e-01 -1.46e-02 -0.030526  2.26e-02  9.47e-02  -0.005014   0.004926
14  -8.81e-02  3.27e-02  0.253789  1.68e-01 -2.41e-01   0.064769  -0.014635
15  -4.16e-02  1.95e-02 -0.202360 -2.40e-01  2.37e-01   0.171346   0.058475
16   6.31e-03 -3.09e-02 -0.021347 -6.37e-02  6.21e-02   0.035919   0.011610
17  -1.00e-01  1.11e-02  0.022768 -1.02e-01 -6.80e-02  -0.009791   0.046420
18   4.12e-02  1.86e-03  0.041607  1.44e-01 -5.73e-02   0.038495   0.039484
19   6.23e-02 -1.17e-02 -0.112841 -1.15e-01  1.20e-01  -0.033323   0.035361
20   3.08e-02 -9.96e-02 -0.002912  1.67e-02  3.27e-02  -0.018229  -0.038510
21  -1.89e-01 -1.48e-01  0.032255  2.71e-02 -1.67e-01   0.069127  -0.091856
22  -4.17e-02  4.79e-02  0.015577 -4.16e-02 -5.54e-02   0.015557   0.031133
23   5.77e-03 -3.22e-03 -0.001842 -1.78e-03  1.57e-03  -0.001149  -0.000830
24   9.63e-03  8.12e-04  0.030584  6.37e-02 -3.81e-02   0.005642   0.010570
25  -4.37e-02  6.26e-02 -0.020133 -9.96e-02  6.13e-02  -0.021095   0.049965
26   1.73e-01  7.24e-02 -0.260953 -9.95e-02  1.65e-01   0.014035  -0.001726
27  -4.26e-02  6.34e-02  0.068478  1.45e-01 -5.32e-03   0.032457   0.010717
28   1.35e-02  1.39e-02 -0.018712  2.08e-02 -6.13e-02  -0.050086  -0.060343
29   3.31e-03  7.41e-03  0.013753  3.41e-02 -9.60e-03   0.016184   0.011848
30  -2.11e-01  2.97e-01  0.141736  2.10e-01 -2.29e-01   0.056822   0.080053
31   1.37e-01 -1.15e-01 -0.068435 -9.08e-02  1.82e-01  -0.039865  -0.200992
32   3.15e-02  2.45e-02 -0.109416 -1.33e-01  1.35e-01   0.008524   0.009079
33  -1.47e-01 -8.81e-02  0.089221  1.22e-02 -9.82e-02   0.015740  -0.004726
34  -5.48e-03  9.06e-02 -0.003453  7.46e-03 -1.14e-02   0.073861   0.032797
35   6.90e-02 -8.37e-02 -0.005870 -3.04e-02  8.51e-02  -0.042296   0.010335
36  -1.56e-01  7.06e-02  0.052950  2.66e-02 -6.53e-02  -0.053227   0.027242
37  -1.16e-02  4.51e-02 -0.011026 -1.79e-02 -5.12e-02   0.026641  -0.023300
38  -4.42e-02  2.94e-02  0.027316  2.45e-02 -2.30e-02  -0.029630  -0.028461
39   4.13e-01  1.14e-01 -0.142143  1.63e-01  1.25e-01  -0.102267  -0.190471
40   1.54e-02 -1.53e-01  0.060626 -4.53e-02 -4.26e-02   0.123916   0.057948
41  -7.73e-02  9.11e-02  0.103787  9.91e-02 -4.76e-02  -0.004998   0.057323
42  -5.26e-02  2.98e-02 -0.045823 -6.37e-02  3.06e-02  -0.013569  -0.042520
43   2.31e-01 -2.47e-02  0.117610  1.99e-01 -1.47e-01  -0.093306  -0.066656
44   1.07e-01 -3.46e-02 -0.068669  2.46e-02 -2.74e-02   0.022081   0.007298
45  -1.28e-01  6.99e-02 -0.196641 -2.82e-01  9.05e-02   0.137899   0.269054
46  -2.76e-02 -4.57e-02 -0.010158 -1.66e-02  3.33e-02  -0.066277  -0.071676
47   2.01e-02 -8.44e-02 -0.036235 -4.27e-02  2.72e-02  -0.030520   0.020730
48   9.19e-02 -1.82e-01 -0.021247  8.59e-03 -2.15e-03   0.075907   0.088361
49  -5.90e-02  7.27e-01  0.197581  3.17e-01 -2.08e-01   0.141735   0.140256
50  -1.84e-02  2.95e-02  0.047437  2.83e-02 -3.78e-02  -0.052406  -0.041920
51  -1.64e-02 -2.98e-03  0.008583 -4.79e-03  2.74e-04  -0.006300  -0.004259
52   4.97e-01 -4.43e-02 -0.353728 -2.03e-01  2.51e-01   0.256381   0.148256
53  -5.74e-03 -3.68e-02  0.021868 -2.30e-03 -1.36e-02   0.001350  -0.003489
54  -1.95e-02 -4.51e-02  0.017613 -1.39e-02 -2.38e-03  -0.002413  -0.007962
55   3.25e-02  3.19e-02  0.044948  1.01e-01 -1.15e-01   0.032136   0.035848
56  -2.29e-02 -7.85e-02  0.083882  3.88e-02 -6.15e-02  -0.019065  -0.020740
57   5.73e-03  7.49e-03  0.005525  5.10e-03 -3.56e-03   0.008450   0.003133
58  -6.80e-03  6.13e-02  0.020902  1.61e-02 -8.65e-03  -0.007686  -0.004613
59   8.41e-02  1.97e-02 -0.103351 -3.40e-02  5.97e-02  -0.035385  -0.031510
60  -8.99e-02  2.52e-02  0.041265 -3.12e-02  1.39e-02  -0.008965  -0.021885
61   2.50e-02 -2.92e-02  0.003804  1.63e-02 -3.88e-02  -0.019082  -0.029108
62  -4.58e-02  3.48e-02  0.002519 -1.89e-02  1.90e-02   0.000959   0.036888
63   5.47e-03  3.71e-03 -0.000116  8.42e-03 -9.13e-03  -0.002480  -0.000124
64   6.16e-03 -6.79e-02 -0.035000 -3.89e-02  6.33e-02  -0.009154  -0.009819
65   8.10e-03  2.46e-02  0.019323  4.34e-02 -3.82e-02   0.002930   0.005469
66  -1.03e-02 -3.20e-03  0.004149 -5.50e-03  4.31e-03  -0.013093  -0.018374
67   3.16e-03 -5.88e-03 -0.007017 -1.00e-02  1.11e-02   0.005513  -0.001993
68  -2.48e-02  1.71e-02 -0.042042 -6.91e-02  2.68e-02  -0.007141  -0.016303
69  -2.30e-02  3.91e-02  0.031698  1.91e-02 -1.62e-02  -0.059816  -0.062974
70  -1.60e-03 -3.14e-03 -0.005661 -1.10e-02  8.63e-03   0.006587  -0.001315
71  -1.69e-02 -1.34e-02 -0.017849 -2.01e-02  1.09e-02  -0.028835  -0.056742
72   1.22e-02 -7.10e-02 -0.001757 -3.03e-04  5.50e-03  -0.008665  -0.007570
73   8.36e-03  3.43e-03 -0.003108  1.00e-02 -1.47e-02   0.002142  -0.005476
74  -1.79e-02 -3.85e-02 -0.013535 -3.54e-02  4.07e-02   0.019205  -0.007330
75  -4.48e-02  1.86e-02  0.015450 -4.22e-03  1.23e-02  -0.014073   0.009666
76  -2.16e-02  2.55e-02  0.007829  9.38e-04  1.16e-02   0.027056   0.025013
77  -6.37e-03 -5.68e-03  0.022142  2.27e-02 -1.93e-02   0.012019   0.015502
78  -9.30e-02 -1.05e-02  0.049238  8.62e-03 -2.56e-02  -0.003977  -0.025520
79  -4.65e-02 -2.07e-02 -0.002103 -6.88e-02  3.95e-02   0.038175  -0.002860
80  -3.18e-02 -6.43e-02 -0.025146 -4.23e-02  2.70e-02   0.030566   0.009400
81  -7.19e-03  5.23e-03  0.022995 -3.35e-02  2.62e-02  -0.139240  -0.276841
82  -6.22e-03 -1.96e-02  0.023647  1.38e-02 -2.21e-02  -0.010817  -0.008264
83   5.55e-03 -1.80e-02 -0.044180 -6.98e-03  7.65e-03   0.010362  -0.026853
84  -3.22e-03  3.06e-05  0.023076  1.39e-02 -8.96e-03  -0.000153   0.019998
85   5.41e-03 -5.05e-03  0.018981  2.49e-02 -2.35e-02  -0.026428  -0.011396
86  -1.90e-02 -1.79e-02  0.046838  3.17e-02 -2.47e-02   0.030123   0.002058
87  -4.50e-03  7.65e-03  0.019541  5.59e-03  3.76e-04   0.032452   0.006681
88  -3.56e-02  3.66e-02  0.088734  9.21e-02 -1.15e-01  -0.013929  -0.003900
89  -4.19e-02  2.04e-02  0.097695  2.38e-02 -6.67e-02  -0.246648  -0.396926
90   4.58e-04  1.41e-02  0.014924  8.89e-03 -1.94e-03   0.005247   0.018853
91  -1.05e-01 -8.38e-02  0.091995 -2.99e-03  5.71e-02   0.205877   0.259949
92  -2.62e-02  1.96e-02  0.017156  1.86e-02 -3.97e-02   0.000911  -0.016548
93  -9.26e-03 -1.99e-02  0.008673 -9.19e-03  1.41e-02   0.006770   0.004751
94   1.40e-03 -4.23e-03 -0.006160 -1.86e-03  1.74e-03   0.003098   0.000106
95  -1.59e-02  3.65e-03  0.043861  2.20e-02 -8.80e-03   0.052130   0.008500
96  -2.24e-02 -5.23e-03  0.003364 -1.35e-02  1.43e-02   0.029937   0.010266
97   2.20e-02 -1.91e-03 -0.048991 -7.93e-03  9.24e-03   0.036665   0.008060
98  -5.49e-02  3.65e-02  0.150140  8.94e-02 -3.98e-02  -0.303162  -0.066898
99  -1.36e-02 -9.13e-03  0.000675 -1.25e-03  5.41e-03   0.033600  -0.002790
100 -2.49e-03  1.41e-02 -0.015332 -1.81e-03 -5.62e-03   0.029543  -0.003519
101 -3.53e-03  1.50e-02  0.007638  3.10e-03  7.29e-05   0.062496  -0.001671
102 -6.70e-04  9.37e-04  0.001909  4.22e-04  3.84e-03   0.022137   0.011416
103 -3.20e-03  8.15e-04 -0.010480 -1.05e-02  6.34e-03  -0.007811  -0.005311
104 -1.39e-02  4.28e-03  0.012048  2.12e-03  2.75e-03   0.031307   0.003941
105  1.83e-02 -1.75e-03 -0.015624 -2.99e-02  4.63e-03  -0.134318  -0.039130
106 -2.86e-02 -3.25e-02  0.035304  2.07e-04  1.09e-03  -0.091686  -0.017097
107 -1.09e-01  6.79e-03  0.132423  8.80e-02 -7.17e-02  -0.011204  -0.011244
108 -2.36e-03 -2.53e-03  0.004659  5.49e-03 -4.77e-03  -0.020711  -0.002773
109  2.76e-02  8.17e-03 -0.014388 -1.00e-03  1.44e-02  -0.059640   0.023848
110 -1.78e-02 -1.34e-02 -0.008230 -3.51e-02  4.15e-02   0.040312   0.011591
111  3.89e-02 -4.00e-02  0.028576  2.28e-02 -6.27e-02   0.035775   0.018661
112  4.15e-03 -5.26e-03 -0.000459  4.26e-03 -5.77e-03   0.010383   0.000509
113 -4.07e-03  1.93e-03  0.011001  1.40e-02 -1.16e-02   0.016756   0.019715
114  6.81e-03  1.50e-03 -0.000366  7.51e-03 -2.63e-03  -0.006827  -0.008167
115  4.22e-02  6.16e-03 -0.088110 -3.75e-03  2.74e-02  -0.019274  -0.015402
116 -2.19e-03  3.12e-03  0.013341  1.49e-02 -7.57e-05  -0.056387   0.025337
117 -4.31e-03  1.45e-03  0.002666 -1.58e-03  3.83e-03   0.002087   0.004565
118 -4.80e-03 -2.45e-03  0.008580  1.09e-02 -1.75e-03   0.056141   0.026774
119 -4.01e-03  5.15e-04  0.004448  2.48e-03 -2.95e-03   0.002893   0.001260
120 -4.67e-06 -1.52e-03 -0.012184 -1.55e-02  1.66e-02   0.010990   0.002676
121  5.24e-03  1.81e-04 -0.000803 -4.13e-04 -7.11e-03  -0.040595  -0.009851
122 -1.21e-02  1.21e-01 -0.056951 -6.66e-03 -3.17e-04  -0.036671   0.126021
123  1.08e-02 -1.86e-02  0.043437  5.83e-02 -3.71e-02  -0.021175   0.013962
124 -1.89e-03 -6.01e-03 -0.017510 -1.50e-02  6.71e-03  -0.044645   0.008847
125 -7.27e-03 -8.63e-03  0.006376  6.43e-03  1.28e-03  -0.017024  -0.005655
126  3.35e-01 -6.55e-02 -0.007428  9.21e-02 -8.29e-02   0.010061  -0.083203
127  2.08e-03 -3.96e-03 -0.010007 -1.73e-02  2.99e-02  -0.017930  -0.003591
128  7.22e-03 -7.37e-03 -0.020041 -4.14e-03  5.94e-04   0.010509   0.008713
129 -3.71e-03  1.50e-02 -0.005512 -1.96e-02  2.33e-02   0.018601  -0.009443
130 -3.18e-02  4.07e-03  0.017494  1.21e-02 -3.22e-02   0.048167   0.022390
131 -2.52e-02 -2.49e-02 -0.008474 -2.54e-02 -1.83e-04   0.014770  -0.009589
132 -4.45e-04 -1.15e-03  0.001884  8.75e-04 -6.83e-04  -0.002731  -0.001138
133 -3.19e-03  4.25e-04 -0.015513 -2.85e-02  3.42e-02  -0.009882  -0.007559
134  4.42e-02 -1.28e-01  0.067397  9.58e-02 -9.50e-02   0.001614   0.023935
135 -1.85e-03 -6.89e-04  0.001370 -2.16e-03  2.59e-03   0.000149   0.000393
136 -6.21e-02 -8.59e-02  0.072079  4.53e-02 -6.94e-02  -0.023066  -0.036356
137 -5.02e-03 -9.65e-03  0.004825 -2.43e-03  9.37e-03   0.011484  -0.004055
138  1.70e-03  8.70e-04  0.001552  3.65e-03 -3.72e-04   0.003102   0.003131
139  8.95e-04  3.81e-03 -0.004829 -5.28e-03  6.32e-03   0.001056  -0.005342
140 -9.86e-04  4.95e-03  0.005978  6.38e-03 -5.01e-03  -0.020324  -0.003483
141 -1.12e-01 -4.30e-02  0.130677  2.77e-02 -3.88e-02   0.016269   0.029383
142 -1.06e-02  6.80e-03  0.019666  1.09e-02  3.44e-03   0.010368   0.005807
143 -3.33e-03 -2.69e-02  0.005123  3.66e-03 -5.96e-03   0.016997   0.019242
144 -2.55e-02 -2.39e-02  0.076604  1.13e-01  1.09e-03   0.012333   0.021252
145  2.19e-03  2.34e-03 -0.001565 -1.85e-04  1.37e-03  -0.002408  -0.005815
146 -7.71e-03 -2.82e-03  0.007663  1.54e-03 -3.47e-03  -0.007913  -0.003590
147  1.65e-02  2.85e-02  0.024618  5.62e-02 -2.57e-02  -0.021281  -0.015497
148  3.23e-02 -2.18e-02  0.024349  4.91e-02 -5.35e-02   0.025338  -0.001363
149 -7.48e-03 -1.78e-02  0.051852  7.65e-02 -3.81e-02   0.030464   0.013780
150 -8.48e-04 -4.06e-02 -0.050651 -5.50e-02  2.17e-02  -0.038269  -0.018202
151 -1.85e-01 -9.76e-02  0.093755 -1.11e-01  7.82e-02  -0.013305  -0.053736
152  1.05e-01 -6.95e-02 -0.083537  3.85e-03  1.18e-01   0.012687   0.008541
    dfb.홈런.9  dfb.BABI  dfb.LOB.   dfb.ERA  dfb.RA9.   dfb.FIP  dfb.kFIP
1    -0.008195 -0.008859  2.45e-02  1.22e-02 -6.41e-02  6.91e-03 -0.006395
2    -0.053074 -0.008072 -1.98e-02  3.25e-03  1.36e-02  6.02e-02 -0.061214
3    -0.091125 -0.088087  2.47e-01  4.60e-02 -1.64e+00  2.06e-01 -0.234710
4    -0.026819 -0.028305  4.55e-03  1.86e-02  8.56e-03  2.96e-02 -0.029831
5     0.052581  0.022228 -6.40e-03 -1.76e-02 -3.96e-02 -6.51e-02  0.068133
6     0.015949 -0.031213 -9.40e-02 -6.45e-02  4.58e-01 -9.30e-03  0.009379
7    -0.051843  0.060087 -2.60e-01 -5.01e-02  6.39e-01  1.35e-01 -0.157821
8     0.085942  0.031103 -2.02e-01 -1.27e-01  4.43e-01 -8.71e-02  0.088288
9    -0.028585  0.025349  2.03e-01  1.60e-01 -2.89e-01  5.43e-03 -0.002433
10   -0.003499 -0.001126 -3.02e-03 -1.18e-03 -2.96e-03  4.35e-03 -0.004536
11    0.016094 -0.004191  2.78e-04  1.75e-02  5.79e-02 -9.92e-03  0.007919
12   -0.136854 -0.034950  7.19e-02  5.04e-02  9.47e-02  1.31e-01 -0.129060
13   -0.041662 -0.048339 -2.90e-02 -1.87e-02 -2.89e-01  3.87e-02 -0.036874
14    0.023854 -0.069841  1.06e-01  5.15e-02 -3.76e-01 -3.93e-02  0.044431
15    0.069040 -0.000553 -8.43e-02 -8.40e-02  1.64e-02 -1.11e-01  0.122452
16    0.018417  0.009202  1.88e-02  2.26e-03 -6.39e-02 -2.81e-02  0.030485
17    0.047754  0.045307 -5.15e-02 -3.89e-02  3.28e-01 -2.56e-02  0.020559
18    0.070861 -0.015712  2.56e-02  1.17e-02 -2.62e-01 -6.00e-02  0.057589
19    0.024045 -0.003803 -2.16e-02 -9.39e-03 -7.47e-02 -2.53e-03 -0.003307
20   -0.027117  0.033790  4.71e-02  1.20e-02 -4.99e-03  2.37e-02 -0.021923
21   -0.069609 -0.206421 -3.06e-02 -4.32e-02 -1.33e-01  4.07e-02 -0.030628
22    0.025196  0.020824 -5.98e-02 -4.46e-02  2.05e-01 -2.15e-02  0.021177
23   -0.001038  0.000881 -5.86e-04 -2.00e-04  3.25e-05  1.03e-03 -0.001039
24    0.013392 -0.007805 -2.18e-03  5.67e-03  1.74e-03 -1.08e-02  0.009985
25    0.047925  0.013923 -2.70e-02 -2.30e-02 -1.10e-01 -2.17e-02  0.015789
26    0.004214 -0.018146 -1.15e-02 -2.04e-02 -9.66e-02 -4.78e-03  0.005342
27    0.019623  0.035643  7.54e-04 -2.37e-02 -1.13e-01 -2.70e-02  0.029524
28   -0.057405  0.004122 -1.50e-02 -2.22e-02  4.99e-02  5.92e-02 -0.058184
29    0.013407  0.002234  9.79e-04 -3.36e-03 -2.69e-02 -1.46e-02  0.014714
30    0.083499 -0.063657  6.79e-02  8.50e-02  7.43e-02 -8.05e-02  0.077827
31   -0.169198  0.036573  2.29e-01  7.97e-02  6.13e-02  1.28e-01 -0.114583
32    0.017413 -0.030119  9.42e-05  1.37e-02 -3.48e-02 -1.41e-02  0.013355
33    0.017307 -0.033766  5.37e-02  5.46e-02  3.69e-02 -1.94e-02  0.019991
34    0.046604  0.002701 -3.28e-02 -2.38e-02  2.58e-03 -6.08e-02  0.064541
35   -0.016571 -0.037163  2.62e-02  3.84e-02 -8.40e-02  2.88e-02 -0.032760
36    0.020120 -0.004970  5.42e-02  4.45e-02  1.46e-01  8.12e-03 -0.016185
37   -0.014818  0.014042  2.90e-02 -1.23e-02 -3.25e-03 -5.78e-04  0.004536
38   -0.028895  0.025919 -9.43e-03 -7.50e-03  1.05e-03  2.90e-02 -0.028735
39   -0.168083 -0.109439 -5.10e-03 -9.09e-03  1.62e-02  1.57e-01 -0.150961
40    0.074138 -0.022424 -1.96e-02 -4.43e-02 -4.61e-03 -9.30e-02  0.098283
41    0.054075  0.035258  5.62e-02  3.85e-02 -2.32e-02 -3.73e-02  0.031923
42   -0.041341 -0.003756 -1.14e-02 -5.36e-03  3.82e-02  3.24e-02 -0.029540
43   -0.067545 -0.007169  5.92e-02  6.29e-02  1.29e-02  7.82e-02 -0.080563
44    0.010332 -0.026086 -6.03e-02 -2.31e-02  5.37e-02 -1.51e-02  0.016216
45    0.272687  0.026733 -3.02e-01 -1.24e-01  2.48e-01 -2.30e-01  0.216591
46   -0.079967  0.031350  8.77e-03  7.03e-03  1.62e-01  7.77e-02 -0.077365
47    0.003007 -0.024733 -2.51e-03  1.09e-02  1.43e-02  9.77e-03 -0.013523
48    0.096850 -0.008649 -1.76e-02  4.52e-03  4.31e-03 -9.53e-02  0.094308
49    0.181536  0.096778  1.00e-02  2.16e-02  2.02e-01 -1.81e-01  0.179748
50   -0.040328  0.039396  1.63e-02  8.03e-03  4.46e-03  4.54e-02 -0.046396
51   -0.007793 -0.003103 -8.50e-03 -2.54e-03  3.01e-03  7.50e-03 -0.007523
52    0.162265  0.072317 -1.85e-01 -1.73e-01 -1.97e-01 -2.01e-01  0.209312
53   -0.000513  0.011437  6.61e-03  3.55e-03  6.87e-03 -8.76e-04  0.001247
54   -0.009254 -0.000266 -4.68e-03 -1.97e-03 -8.51e-03  7.29e-03 -0.006837
55    0.035948 -0.028661 -1.22e-02 -2.44e-05  4.97e-02 -3.45e-02  0.034300
56   -0.028240 -0.037786 -5.50e-02 -3.63e-02  3.30e-02  3.09e-02 -0.030670
57    0.004116  0.004527  7.59e-03 -1.20e-03 -1.34e-02 -6.01e-03  0.006553
58   -0.008036 -0.008476 -8.57e-03 -2.12e-04  2.12e-02  7.64e-03 -0.007577
59   -0.035442 -0.006612 -2.59e-02 -2.16e-02  2.83e-03  3.96e-02 -0.040216
60   -0.009787 -0.008575  1.70e-02  1.94e-02  5.41e-02  1.18e-02 -0.011818
61   -0.024436  0.016022  2.33e-02  1.13e-02  3.87e-02  2.18e-02 -0.020437
62    0.043312 -0.058454  2.20e-03  6.69e-02 -1.66e-03 -3.16e-02  0.027871
63    0.001182 -0.000863 -5.81e-03 -4.19e-03 -3.86e-03  7.97e-04 -0.001176
64   -0.013067 -0.008362  4.96e-02  2.21e-02 -1.31e-01  1.20e-02 -0.012046
65    0.006593 -0.002841 -1.69e-02 -8.61e-03  2.89e-02 -5.01e-03  0.004748
66   -0.018363  0.003528  5.99e-03  2.49e-03  1.72e-03  1.71e-02 -0.016741
67    0.000824  0.000871  3.49e-03  9.60e-04 -7.09e-03 -2.43e-03  0.002913
68   -0.011639 -0.013898 -1.35e-02 -1.19e-03 -5.01e-02  1.21e-02 -0.012106
69   -0.068406 -0.057166  3.08e-02  3.15e-02  3.53e-02  7.05e-02 -0.070999
70    0.001922 -0.000791  6.22e-03  4.55e-03 -8.89e-04 -4.02e-03  0.004581
71   -0.052635 -0.022812 -8.84e-03 -1.44e-02  1.32e-02  4.98e-02 -0.048653
72   -0.004239 -0.008131  7.32e-03  1.37e-02 -1.25e-02  5.71e-03 -0.006150
73   -0.007207 -0.005987 -1.89e-02  3.23e-03  1.35e-02  2.53e-03 -0.001835
74   -0.012863  0.037634 -2.10e-05 -2.22e-02 -2.98e-02  4.59e-04  0.002070
75   -0.020085 -0.029503 -1.88e-03  1.56e-03  4.32e-03  1.79e-02 -0.018615
76    0.030267  0.011537  4.10e-02  2.35e-02 -7.45e-03 -3.09e-02  0.030881
77    0.017850  0.001338 -6.11e-03 -2.08e-03  1.49e-02 -1.65e-02  0.016075
78   -0.019590  0.006957  1.95e-02  6.44e-03 -5.67e-02  1.45e-02 -0.012871
79    0.001784 -0.015045  6.98e-02  5.90e-02  4.15e-02 -2.05e-02  0.023911
80    0.016374 -0.012485 -1.91e-02 -1.77e-02  4.06e-02 -1.97e-02  0.020788
81   -0.274927  0.038145  4.28e-02 -2.97e-02 -3.34e-02  2.34e-01 -0.220290
82   -0.006930  0.005191 -1.48e-02 -5.20e-03  6.12e-03  8.25e-03 -0.008450
83   -0.022155  0.085924  5.52e-02 -5.82e-02 -1.87e-02  1.95e-02 -0.019198
84    0.014162  0.012817  1.46e-02  1.53e-03 -5.76e-03 -9.84e-03  0.008758
85   -0.017608  0.012676  6.61e-03 -6.66e-03  1.73e-02  2.09e-02 -0.021750
86    0.007955 -0.002338  2.06e-02  8.14e-03  3.57e-03 -1.82e-02  0.020771
87    0.022839 -0.036877  3.62e-02  2.06e-02 -2.57e-02 -2.92e-02  0.031734
88   -0.026690  0.073737  2.18e-02 -1.79e-02 -2.51e-02  2.01e-02 -0.018676
89   -0.368460 -0.060182 -4.87e-02  3.47e-02  3.70e-02  3.40e-01 -0.327442
90    0.009178  0.062995 -7.19e-02 -6.68e-02  3.03e-02 -7.92e-03  0.008524
91    0.247478  0.008360  5.24e-02  3.12e-02  3.68e-03 -2.49e-01  0.244706
92   -0.014570  0.000972  9.12e-03  3.81e-03  4.83e-02  6.17e-03 -0.004387
93    0.000811  0.009006  3.74e-02  3.57e-03 -2.05e-02 -4.62e-04  0.000716
94   -0.001371 -0.037818  9.64e-03  1.21e-02 -9.64e-03  8.00e-04 -0.000822
95    0.028477 -0.006173  1.25e-01  6.63e-02 -4.32e-02 -4.06e-02  0.043878
96    0.003349  0.009490 -1.08e-01 -7.44e-02  3.30e-02 -8.21e-03  0.010555
97    0.022992  0.065041 -6.46e-02 -4.43e-02  4.36e-02 -1.81e-02  0.017803
98   -0.135687 -0.288883  7.39e-01  1.31e+00 -2.65e-02  1.45e-01 -0.173537
99    0.007514 -0.010105 -2.57e-02 -1.69e-02 -1.05e-02 -1.65e-02  0.019122
100   0.006311 -0.001418 -1.12e-02 -5.78e-03  1.26e-02 -1.58e-02  0.018170
101  -0.000427  0.104513  7.45e-03 -3.74e-02 -2.54e-02 -2.75e-02  0.034639
102   0.012366 -0.006844  1.08e-02  1.25e-03 -5.39e-03 -1.63e-02  0.017341
103  -0.006466 -0.002854 -7.37e-03 -6.38e-03  3.69e-03  8.36e-03 -0.008668
104   0.016484  0.108019 -5.59e-02 -5.54e-02  4.15e-02 -2.14e-02  0.023191
105  -0.082489  0.368910  1.71e-02 -2.05e-01 -2.45e-02  9.78e-02 -0.099325
106  -0.045067  0.041848 -6.55e-03 -7.24e-02 -1.60e-02  7.35e-02 -0.079041
107  -0.005848 -0.033056  8.59e-02  5.24e-02  1.71e-02  1.08e-02 -0.011923
108  -0.001331 -0.001247 -1.95e-03  2.67e-03  2.71e-04  1.04e-02 -0.012708
109  -0.009339  0.017893 -6.65e-02 -3.23e-02 -6.17e-03  2.96e-02 -0.035398
110   0.021120  0.008499  1.44e-02  6.61e-03 -1.24e-02 -2.99e-02  0.031776
111   0.026187  0.013704  4.32e-02  9.88e-03  2.02e-02 -3.20e-02  0.033948
112   0.002521 -0.015709 -1.14e-03  5.33e-03 -3.54e-03 -5.47e-03  0.006001
113   0.018116 -0.022591 -2.05e-02 -1.19e-03  7.72e-03 -1.78e-02  0.017598
114  -0.007839  0.006822 -1.31e-04 -5.35e-03 -3.85e-03  8.30e-03 -0.008242
115  -0.004630  0.125871 -2.59e-01 -3.10e-01 -4.02e-03 -1.19e-02  0.009023
116  -0.004452 -0.004518 -4.13e-02 -1.01e-02  1.00e-02  2.61e-02 -0.033037
117   0.003784 -0.004204 -3.03e-03 -2.79e-03 -7.84e-03 -2.76e-03  0.002583
118   0.040355 -0.035537  9.06e-03  2.31e-02 -3.52e-03 -4.81e-02  0.049212
119   0.000530 -0.003497 -3.81e-03  2.50e-03  7.46e-04 -1.68e-03  0.001848
120   0.002735 -0.005598 -6.55e-03 -7.01e-03  9.61e-03 -6.09e-03  0.007013
121  -0.023122  0.007595 -1.70e-02 -7.57e-04  1.26e-02  3.00e-02 -0.031903
122   0.079074 -0.010742 -1.57e-01 -6.47e-02  1.47e-01 -4.32e-02  0.032740
123   0.013027 -0.025380  2.86e-02  4.15e-02 -2.84e-02  2.04e-03 -0.006162
124  -0.000389 -0.040757 -5.01e-02 -4.89e-02  1.22e-02  2.41e-02 -0.029534
125  -0.005333  0.037250 -3.87e-02 -5.19e-02 -2.00e-02  1.28e-02 -0.013678
126  -0.027923 -0.081939  4.74e-02  6.39e-02  1.66e-02  1.19e-02 -0.004621
127  -0.013304  0.007094 -1.28e-02 -6.30e-03 -3.02e-03  1.49e-02 -0.015418
128   0.009309 -0.016064 -7.10e-02 -4.09e-02 -7.11e-03 -8.34e-03  0.008717
129  -0.006079  0.004246  6.85e-03 -8.09e-04 -5.34e-03 -3.61e-03  0.006069
130   0.029553  0.009804  2.15e-02  3.10e-03  3.95e-03 -4.04e-02  0.042770
131   0.000554  0.008542  5.63e-04 -2.03e-02  1.26e-02 -3.44e-03  0.005090
132  -0.001873 -0.000230  8.24e-05  8.50e-04  4.91e-04  2.23e-03 -0.002375
133  -0.009561  0.019829  1.65e-02  1.32e-02 -6.16e-03  7.07e-03 -0.006885
134   0.030319  0.029864 -1.22e-02 -1.75e-02 -7.70e-02 -1.85e-02  0.015992
135  -0.000591  0.001937  4.81e-03  2.05e-03 -1.36e-03 -5.78e-05  0.000125
136  -0.034801  0.029305  2.58e-03 -9.89e-03  5.74e-02  3.13e-02 -0.030135
137  -0.004208 -0.011287 -1.04e-02  7.61e-03  1.66e-03 -2.48e-03  0.003403
138   0.002596 -0.001817 -1.29e-05  9.08e-04  2.51e-05 -2.81e-03  0.002785
139  -0.003439 -0.004914  1.15e-03  6.99e-04 -2.13e-03  2.19e-03 -0.001703
140  -0.007154  0.001600 -3.69e-04  4.65e-03  3.91e-03  1.29e-02 -0.014521
141   0.029859 -0.048799  3.27e-02  4.28e-02  7.16e-02 -2.77e-02  0.026971
142   0.006214  0.015474  1.02e-01  7.63e-02 -1.08e-02 -1.19e-02  0.010947
143   0.015727  0.007351 -1.05e-02 -1.02e-02  2.83e-03 -1.74e-02  0.017404
144   0.019385 -0.002519 -2.91e-03  4.52e-02 -1.21e-01 -2.29e-02  0.021738
145  -0.004856  0.001176 -5.56e-04 -4.97e-04 -1.30e-03  4.22e-03 -0.004051
146  -0.004181 -0.002393  5.21e-03  2.02e-04  2.33e-03  6.36e-03 -0.006694
147  -0.017330 -0.006472  7.61e-03  8.92e-03 -1.74e-02  1.90e-02 -0.019336
148   0.002618 -0.005657  5.82e-04 -7.22e-03  4.49e-02 -1.06e-02  0.012839
149   0.015429 -0.046969 -6.54e-03  1.07e-02  1.57e-02 -2.28e-02  0.024127
150  -0.017294  0.004562 -6.18e-02 -1.53e-02 -4.46e-04  2.70e-02 -0.028394
151  -0.066831  0.074882  7.91e-02 -1.71e-02  1.78e-02  4.74e-02 -0.041498
152  -0.004180 -0.032130  1.77e-02 -5.62e-03 -1.29e-01 -2.23e-04  0.001198
      dfb.WAR    dffit   cov.r   cook.d    hat inf
1    1.21e-01  0.19175 1.71187 1.37e-03 0.2885   *
2    1.54e-01  0.33741 1.50837 4.24e-03 0.2389    
3    1.47e+00  4.89234 0.00018 6.35e-01 0.3215   *
4    5.57e-02  0.26150 1.33537 2.55e-03 0.1468    
5    6.11e-02  0.46640 1.10654 8.04e-03 0.1467    
6   -7.76e-02  0.77013 0.98385 2.18e-02 0.2131    
7   -9.20e-01 -1.72321 0.12155 1.01e-01 0.1953   *
8   -3.07e-01  0.78549 0.90615 2.26e-02 0.1986    
9   -3.27e-01 -1.20483 0.36600 5.14e-02 0.1783    
10   3.18e-04 -0.02188 1.49033 1.79e-05 0.1669    
11  -7.78e-02  0.22019 1.34497 1.81e-03 0.1362    
12   1.27e-01 -0.58547 1.28544 1.27e-02 0.2381    
13   2.81e-02 -1.01228 0.24724 3.59e-02 0.1109   *
14   5.22e-01 -0.99957 0.57712 3.60e-02 0.1811    
15  -1.37e-01 -0.72916 0.48449 1.91e-02 0.0980    
16   6.41e-02 -0.30699 1.21288 3.50e-03 0.1194    
17  -1.30e-01 -0.53584 1.15092 1.06e-02 0.1828    
18   2.09e-01  0.62061 0.86304 1.41e-02 0.1391    
19   1.71e-02 -0.27639 1.38040 2.84e-03 0.1702    
20   3.31e-02  0.65214 2.30532 1.58e-02 0.5074   *
21   1.53e-01  1.76468 0.29627 1.09e-01 0.2726   *
22  -1.06e-01 -0.42175 1.01745 6.56e-03 0.1089    
23   9.00e-04  0.01067 1.80983 4.25e-06 0.3137   *
24  -2.95e-03  0.14062 1.31891 7.37e-04 0.0957    
25   2.33e-01 -0.46427 1.26271 7.99e-03 0.1920    
26  -6.96e-02 -0.37906 1.37949 5.34e-03 0.2033    
27   9.97e-02 -0.46539 1.41512 8.04e-03 0.2423    
28  -3.82e-02 -0.26934 1.30327 2.70e-03 0.1370    
29   1.41e-02  0.08778 1.49281 2.88e-04 0.1745    
30   9.61e-02 -0.63972 1.05604 1.51e-02 0.1911    
31  -2.04e-01 -0.86296 0.75022 2.71e-02 0.1844    
32   1.60e-02 -0.26567 1.38638 2.63e-03 0.1691    
33  -5.51e-03 -0.36773 1.20605 5.02e-03 0.1400    
34   8.58e-02 -0.31259 1.12135 3.62e-03 0.0949    
35   3.21e-02 -0.48557 0.73863 8.61e-03 0.0779    
36  -8.03e-02 -0.43285 1.13742 6.93e-03 0.1433    
37  -6.22e-03  0.27696 1.46227 2.86e-03 0.2040    
38   8.24e-03 -0.10493 1.56596 4.11e-04 0.2137    
39   5.81e-03 -0.88931 0.99031 2.90e-02 0.2494    
40   9.20e-02 -1.06971 1.06784 4.19e-02 0.3168    
41   1.01e-01  0.44511 1.07813 7.32e-03 0.1317    
42  -4.68e-02 -0.17758 1.42375 1.18e-03 0.1587    
43   4.36e-02  0.41318 1.72840 6.36e-03 0.3328   *
44  -7.84e-02 -0.27589 1.24281 2.83e-03 0.1174    
45  -1.92e-01  0.91825 0.51472 3.03e-02 0.1475    
46  -2.33e-01  0.43015 1.45149 6.88e-03 0.2443    
47  -3.48e-02 -0.18624 1.39180 1.29e-03 0.1460    
48  -4.45e-02 -0.28062 1.54959 2.93e-03 0.2406    
49   5.67e-02  0.95678 1.11608 3.36e-02 0.2993    
50   1.22e-02  0.13566 1.35863 6.86e-04 0.1138    
51   2.60e-03  0.04266 1.45568 6.79e-05 0.1486    
52   1.50e-01  1.18103 0.35669 4.94e-02 0.1709    
53  -9.43e-03  0.07622 1.54329 2.17e-04 0.1992    
54   1.08e-02  0.08694 1.40724 2.82e-04 0.1272    
55  -1.18e-04 -0.20812 1.45047 1.61e-03 0.1797    
56   4.58e-03  0.21008 1.38411 1.64e-03 0.1500    
57   2.90e-02 -0.05946 1.38690 1.32e-04 0.1099    
58   1.02e-02  0.10389 1.44953 4.03e-04 0.1540    
59  -1.32e-02 -0.20738 1.56132 1.60e-03 0.2291    
60  -1.39e-02  0.19315 1.38713 1.39e-03 0.1460    
61  -2.49e-02 -0.17686 1.33566 1.17e-03 0.1167    
62   1.00e-02 -0.19557 1.49073 1.43e-03 0.1949    
63   2.30e-03  0.03390 1.36800 4.29e-05 0.0942    
64   1.46e-02  0.32338 1.42871 3.89e-03 0.2043    
65  -2.57e-03 -0.07416 1.55045 2.05e-04 0.2026    
66  -2.45e-03  0.04589 1.36903 7.86e-05 0.0965    
67   2.67e-03  0.03006 1.36573 3.37e-05 0.0922    
68   1.96e-03  0.22003 1.32471 1.80e-03 0.1275    
69   3.68e-03  0.21624 1.30052 1.74e-03 0.1160    
70  -3.34e-03 -0.02626 1.38918 2.57e-05 0.1069    
71  -2.63e-02  0.19756 1.26950 1.45e-03 0.0964    
72  -4.14e-03 -0.11285 1.54099 4.75e-04 0.2027    
73  -5.45e-03  0.08627 1.37317 2.78e-04 0.1075    
74   7.73e-03  0.19721 1.28945 1.45e-03 0.1042    
75  -2.67e-02 -0.24072 1.35778 2.16e-03 0.1488    
76   3.21e-03 -0.12949 1.35090 6.25e-04 0.1078    
77  -6.66e-03  0.06066 1.37599 1.37e-04 0.1035    
78   7.64e-02 -0.16886 1.52464 1.06e-03 0.2047    
79  -3.77e-02 -0.20528 1.29678 1.57e-03 0.1103    
80  -1.33e-02 -0.19888 1.34099 1.47e-03 0.1269    
81  -3.10e-03 -0.37404 1.57872 5.21e-03 0.2741    
82   6.32e-03  0.08499 1.38960 2.70e-04 0.1167    
83  -5.20e-02  0.33630 1.84811 4.22e-03 0.3570   *
84   1.61e-02 -0.07585 1.43180 2.15e-04 0.1391    
85  -5.46e-03  0.08797 1.41342 2.89e-04 0.1309    
86   8.92e-03  0.13186 1.32432 6.48e-04 0.0952    
87   3.50e-02 -0.15637 1.49576 9.12e-04 0.1884    
88   4.05e-02 -0.33164 1.15824 4.08e-03 0.1122    
89   2.86e-02 -0.48024 2.57544 8.60e-03 0.5380   *
90  -1.43e-02 -0.14039 1.74252 7.36e-04 0.2944   *
91   9.17e-03  0.44427 1.35303 7.33e-03 0.2149    
92  -1.92e-02  0.17724 1.33744 1.17e-03 0.1176    
93  -5.36e-05 -0.14672 1.32315 8.02e-04 0.1000    
94   5.52e-03  0.05372 1.98175 1.08e-04 0.3738   *
95   4.01e-02 -0.19800 1.53830 1.46e-03 0.2170    
96  -2.68e-02 -0.18000 1.67491 1.21e-03 0.2722   *
97  -6.83e-02  0.28890 2.07736 3.11e-03 0.4170   *
98  -3.41e-02  1.71942 2.59845 1.09e-01 0.6575   *
99   9.36e-04  0.10979 1.38350 4.50e-04 0.1194    
100 -5.86e-03  0.11433 1.39706 4.88e-04 0.1279    
101 -1.04e-02 -0.30637 1.13607 3.48e-03 0.0965    
102  9.43e-04 -0.04629 1.45391 8.00e-05 0.1479    
103 -5.46e-03  0.04333 1.39072 7.01e-05 0.1098    
104 -4.81e-02 -0.19755 1.70102 1.46e-03 0.2851   *
105  3.15e-02  0.48391 2.24725 8.72e-03 0.4772   *
106  3.87e-03 -0.25630 1.45167 2.45e-03 0.1937    
107  1.98e-03  0.31994 1.24111 3.80e-03 0.1336    
108 -3.35e-03 -0.05887 1.87467 1.29e-04 0.3384   *
109 -1.48e-02 -0.22727 1.26447 1.92e-03 0.1062    
110 -6.19e-03 -0.12722 1.32007 6.04e-04 0.0914    
111 -2.37e-05  0.31884 1.19031 3.77e-03 0.1168    
112 -2.74e-03 -0.06882 1.31493 1.77e-04 0.0685    
113  3.79e-03  0.05156 1.50933 9.93e-05 0.1792    
114 -3.13e-03  0.03964 1.33931 5.87e-05 0.0764    
115 -1.56e-01 -1.24656 2.70378 5.76e-02 0.6248   *
116 -2.63e-02 -0.17690 1.56161 1.17e-03 0.2232    
117  6.55e-03  0.03089 1.42236 3.56e-05 0.1279    
118 -3.57e-03 -0.11290 1.50335 4.76e-04 0.1838    
119  7.01e-04 -0.02123 1.40047 1.68e-05 0.1137    
120 -1.12e-02  0.05488 1.36283 1.12e-04 0.0943    
121 -2.60e-03  0.08555 1.42907 2.73e-04 0.1393    
122 -5.18e-02  0.61541 0.59293 1.37e-02 0.0889    
123  1.82e-02 -0.15990 1.33345 9.53e-04 0.1096    
124 -1.63e-02 -0.16914 1.63045 1.07e-03 0.2521    
125  9.64e-03  0.11422 1.43013 4.87e-04 0.1458    
126  4.50e-02  0.69256 0.63334 1.74e-02 0.1146    
127 -9.09e-03  0.09636 1.35112 3.46e-04 0.0976    
128  2.03e-03  0.13834 1.38279 7.14e-04 0.1270    
129  1.72e-02 -0.10621 1.34114 4.21e-04 0.0952    
130 -4.00e-03  0.15535 1.42604 9.00e-04 0.1538    
131 -2.59e-02  0.11950 1.40656 5.33e-04 0.1344    
132 -9.98e-04 -0.00987 1.42036 3.64e-06 0.1256    
133 -8.25e-03  0.08175 1.38323 2.49e-04 0.1122    
134  1.89e-01 -0.42756 1.33607 6.79e-03 0.2038    
135  1.31e-03 -0.01430 1.39558 7.64e-06 0.1102    
136 -8.89e-03 -0.19427 1.57968 1.41e-03 0.2345    
137 -1.58e-02 -0.08764 1.55990 2.87e-04 0.2087    
138  7.24e-04 -0.01661 1.40471 1.03e-05 0.1161    
139 -1.56e-03  0.02150 1.39498 1.73e-05 0.1103    
140  2.80e-03 -0.04642 1.42178 8.05e-05 0.1291    
141 -1.27e-02  0.33455 1.10103 4.14e-03 0.0979    
142 -2.14e-02 -0.19360 1.48533 1.40e-03 0.1919    
143  1.28e-02 -0.07596 1.42653 2.15e-04 0.1361    
144 -6.64e-02  0.46701 1.20635 8.08e-03 0.1755    
145 -5.73e-04 -0.01992 1.36032 1.48e-05 0.0877    
146 -2.29e-03  0.03411 1.40438 4.34e-05 0.1172    
147 -5.46e-02  0.20335 1.30312 1.54e-03 0.1122    
148 -6.47e-03 -0.14193 1.38749 7.51e-04 0.1305    
149 -5.87e-02  0.21032 1.36139 1.65e-03 0.1399    
150 -1.17e-02  0.29658 1.25046 3.27e-03 0.1279    
151 -5.41e-02  0.46046 1.03712 7.82e-03 0.1268    
152 -1.41e-01  0.41165 1.28947 6.29e-03 0.1828    

- DIFFITS

dffits(model2) 

1

0.191754716610837

2

0.337414013623338

3

4.89233536041712

4

0.261503705037886

5

0.466402253204886

6

0.770129517221356

7

-1.72321256668107

8

0.785493867892692

9

-1.2048322532797

10

-0.0218808716371401

11

0.220193232637743

12

-0.585472306567651

13

-1.01227742433387

14

-0.999572774572334

15

-0.729155714064973

16

-0.306993598797199

17

-0.535836713837508

18

0.620610134343268

19

-0.276388313448388

20

0.652143260513409

21

1.76468170046624

22

-0.421754632686441

23

0.0106704087127871

24

0.140620384233359

25

-0.464274424652215

26

-0.379063603674648

27

-0.465389310763881

28

-0.269337052725852

29

0.087782380539877

30

-0.639718986233202

31

-0.862956381761444

32

-0.265665487699172

33

-0.367729939280443

34

-0.312585931001285

35

-0.485566114097739

36

-0.432853697818921

37

0.276957125268381

38

-0.104933297990323

39

-0.889314389604665

40

-1.06970517189083

41

0.445113252023164

42

-0.177581717266609

43

0.413175970869027

44

-0.275890809281245

45

0.918250135494413

46

0.430152116691178

47

-0.186244784447579

48

-0.28061753490423

49

0.95678033471325

50

0.135656311662547

51

0.0426576319981019

52

1.18102665082177

53

0.0762187529529201

54

0.0869441377827298

55

-0.20812479717099

56

0.210077456593376

57

-0.059458321956522

58

0.103886187072986

59

-0.207378283361126

60

0.193150495838043

61

-0.176858821306599

62

-0.195565640798869

63

0.0338975972452186

64

0.323383280365095

65

-0.0741579586370653

66

0.0458876312546664

67

0.0300572994815203

68

0.220032581657125

69

0.216236362558261

70

-0.0262624731607537

71

0.197559815839516

72

-0.112849965978098

73

0.0862667980373561

74

0.197208267172885

75

-0.24071728948435

76

-0.129486653975584

77

0.0606643506201116

78

-0.168863227292501

79

-0.205279753813113

80

-0.198884937716289

81

-0.374036098808293

82

0.084994057677105

83

0.336295088440241

84

-0.0758524495008991

85

0.0879718766613751

86

0.131862019380578

87

-0.156368319898217

88

-0.331642351290645

89

-0.480243821181788

90

-0.140388573992965

91

0.444267530051117

92

0.177239806559926

93

-0.146722606234352

94

0.0537217486906417

95

-0.198000421545661

96

-0.180004343938124

97

0.288897464411681

98

1.71942477718016

99

0.109786898694059

100

0.11432687119659

101

-0.3063721645149

102

-0.0462930993038709

103

0.0433306268503036

104

-0.197548411517612

105

0.483912648221853

106

-0.256302327047624

107

0.319941379375536

108

-0.0588728085833438

109

-0.227267262569933

110

-0.127221881596438

111

0.318835761417345

112

-0.0688204218869977

113

0.05156469137091

114

0.0396413027451092

115

-1.246559855429

116

-0.176899825705435

117

0.0308873845642086

118

-0.112901316211509

119

-0.0212297502073414

120

0.0548825648498684

121

0.0855547427504924

122

0.615406232920332

123

-0.159902509654916

124

-0.169140099439959

125

0.114222208260943

126

0.692559192177706

127

0.0963572299918076

128

0.138336095805935

129

-0.106212715144595

130

0.155350612354178

131

0.119496269069625

132

-0.00987022409843957

133

0.0817509188215599

134

-0.427559880304876

135

-0.0143031300279799

136

-0.194270075150927

137

-0.0876446606855829

138

-0.0166101387584495

139

0.0214985587661076

140

-0.0464243030921727

141

0.334545762535563

142

-0.193602855785598

143

-0.0759590599178912

144

0.467007521252357

145

-0.0199234220043436

146

0.0341101331555166

147

0.203347747094969

148

-0.141934705845887

149

0.210316541314676

150

0.296580708661676

151

0.460458716289068

152

0.411652370285228

2*sqrt(26+1/(152-26-1))

10.1996078355984

nrow(dt)

152

which(abs(dffits(model2)) > 2*sqrt(26+1/(152-26-1)))

• 오잉 없다.

- Cook’s Distance

cooks.distance(model2)

1

0.00137182674046634

2

0.0042382096609979

3

0.634931324769507

4

0.00254501497811776

5

0.00803961194545786

6

0.0217594274439348

7

0.100907253957441

8

0.0225826957303291

9

0.0514236288297546

10

1.78749745812785e-05

11

0.00180574596978199

12

0.0126856628278567

13

0.0358812148187878

14

0.0359923140550369

15

0.0190968290280876

16

0.00349908645979213

17

0.0106100101941948

18

0.0141089593042995

19

0.00284355082392002

20

0.0158258491672502

21

0.108963985128979

22

0.00656415432623994

23

4.25094807954496e-06

24

0.000737169210218834

25

0.00798929761548201

26

0.00534048165220335

27

0.00804250576322852

28

0.00269847952419076

29

0.000287615039740159

30

0.01506883494593

31

0.0270840444965382

32

0.00262773677779308

33

0.00501513072230009

34

0.00362087045501922

35

0.00860905182039586

36

0.00693268853088638

37

0.00285695152970965

38

0.000410969275736363

39

0.0289718606500854

40

0.0418883564545206

41

0.00732007394863249

42

0.00117580671117435

43

0.00635620470583292

44

0.00282877833266007

45

0.0302906324253581

46

0.00687651533244473

47

0.00129295359130817

48

0.00293416426490539

49

0.0335974671252982

50

0.0006862824200229

51

6.79331163710391e-05

52

0.0493810477220956

53

0.00021685350748066

54

0.000282113292521071

55

0.00161465633583651

56

0.00164440483596627

57

0.000131962215648585

58

0.000402747294678546

59

0.0016037788841031

60

0.00139044130309376

61

0.0011655998252313

62

0.00142612196633079

63

4.2896679866974e-05

64

0.00389166176260077

65

0.000205288344036934

66

7.86043953144936e-05

67

3.37282133759689e-05

68

0.00180276706052307

69

0.00174074955767207

70

2.57499051672226e-05

71

0.00145292048740253

72

0.000475282662343774

73

0.000277712566869316

74

0.00144812305657954

75

0.00215764263699819

76

0.00062530078124179

77

0.000137366245605136

78

0.00106366980529164

79

0.00156901927663369

80

0.00147358896278508

81

0.00520781729623918

82

0.000269593964500882

83

0.00421553572845086

84

0.000214752939473668

85

0.000288823413310092

86

0.000648313974114493

87

0.0009121226803552

88

0.00407779800555876

89

0.00859716165908423

90

0.000735567782565387

91

0.00732649347431043

92

0.00117063792459619

93

0.000802491213029919

94

0.000107747677123021

95

0.00146204782006016

96

0.00120889124868621

97

0.00311317539940665

98

0.109025840013283

99

0.000449691047677181

100

0.000487651177549744

101

0.00347980640760541

102

8.00043947901423e-05

103

7.00908257908494e-05

104

0.0014558918027866

105

0.00872491206585824

106

0.00244722035194475

107

0.00380141850033025

108

0.000129398826203132

109

0.00192166870385557

110

0.000603510634258893

111

0.0037720260925445

112

0.000176739504723392

113

9.92628521414667e-05

114

5.86615894584444e-05

115

0.0575830291451427

116

0.00116734188727408

117

3.56175509678829e-05

118

0.000475690437768454

119

1.68268191794619e-05

120

0.000112432533207763

121

0.000273183437080047

122

0.0137105815830953

123

0.00095303369621459

124

0.00106738365903445

125

0.000486808267060091

126

0.0173878512213525

127

0.000346411862337967

128

0.000713732103978286

129

0.000420825518081061

130

0.000900089139625101

131

0.000532734956643064

132

3.63727564156477e-06

133

0.000249416261310955

134

0.00678616562299903

135

7.63802286263089e-06

136

0.00140768343713588

137

0.00028673024300913

138

1.03006286026223e-05

139

1.72556051195854e-05

140

8.04571089191523e-05

141

0.0041441767778712

142

0.00139764130641493

143

0.000215355278141691

144

0.00807602971634881

145

1.48196505687254e-05

146

4.34370870624436e-05

147

0.00153978141633243

148

0.000751332068741169

149

0.00164786035045262

150

0.00326825083430986

151

0.00782388864748508

152

0.00628840047856568

qf(0.5,26,152-19-1)

0.979429146533322

which(cooks.distance(model2) >qf(0.5,26,132))

없네? 왜 없을까낭..

- Covratio

covratio(model2)

1

1.71186731450988

2

1.50836537376628

3

0.00017988330925462

4

1.33536647238889

5

1.1065435392859

6

0.983846272486381

7

0.121553402421285

8

0.90614963894981

9

0.366002421023644

10

1.49033379423982

11

1.34497082749312

12

1.28544164892354

13

0.247237105633754

14

0.577122539365025

15

0.484493599392309

16

1.21287611006314

17

1.15091634614759

18

0.863041543876647

19

1.38040471341328

20

2.30532437945197

21

0.296267378670927

22

1.01745237237097

23

1.80982751749533

24

1.3189117725255

25

1.26271423389352

26

1.37948962802568

27

1.41511561961242

28

1.30326590932949

29

1.49281218311284

30

1.05604428171686

31

0.750219983551635

32

1.38637787312595

33

1.20604793216974

34

1.12135282591332

35

0.738628703527732

36

1.1374246382552

37

1.4622707465942

38

1.56595550601158

39

0.990310192336547

40

1.06784314502333

41

1.0781332023755

42

1.42374857095495

43

1.72839704053936

44

1.24280658263068

45

0.514719268336933

46

1.45148924084037

47

1.3917967653191

48

1.54958697897291

49

1.11607937218169

50

1.35862660955829

51

1.455684329483

52

0.356692006124781

53

1.54329202235797

54

1.40723657211145

55

1.45046938778717

56

1.38410775492674

57

1.38689594799922

58

1.44953242242669

59

1.56131516904464

60

1.38712642526316

61

1.33566372939892

62

1.49073347513489

63

1.36800396431952

64

1.42871414746568

65

1.55044983161622

66

1.36902763339381

67

1.36573330756073

68

1.32471348866426

69

1.30052187797791

70

1.38918181839399

71

1.2695029715472

72

1.54099303662624

73

1.37316971058412

74

1.28945292562349

75

1.35778303115989

76

1.35090488577226

77

1.37599237010286

78

1.52463502627899

79

1.29677500502217

80

1.34098741188176

81

1.5787243631209

82

1.38959628652113

83

1.84810599223318

84

1.43179917036847

85

1.41342295544522

86

1.32432092669281

87

1.49576344083971

88

1.15824076678625

89

2.57544338948355

90

1.74251693229226

91

1.3530335356513

92

1.33743775551805

93

1.32314702654193

94

1.98174707382672

95

1.53830492796462

96

1.67490730654056

97

2.07736163327809

98

2.59845452314754

99

1.38349839637404

100

1.39706322191708

101

1.13606888644309

102

1.45390642718125

103

1.39071808252615

104

1.70102163751946

105

2.24725426154198

106

1.45166557056523

107

1.24111097050838

108

1.87467157348063

109

1.26447437351906

110

1.32006845036362

111

1.19030866830834

112

1.31492522136981

113

1.50932678236763

114

1.3393102511382

115

2.7037830293458

116

1.5616141933496

117

1.42236445064446

118

1.50334630630728

119

1.40046753437969

120

1.36282764385412

121

1.42907011135531

122

0.592928511093588

123

1.3334522181419

124

1.63045227216834

125

1.43012607820595

126

0.633335710077272

127

1.35111958757462

128

1.38278775862522

129

1.34114375980363

130

1.4260421113195

131

1.40655686422353

132

1.42035936177401

133

1.38323492095286

134

1.33607467251158

135

1.39557799457007

136

1.57968094037375

137

1.55989686909028

138

1.40471027745439

139

1.3949785229522

140

1.42177806710445

141

1.10102659740562

142

1.48532649416361

143

1.42653030938472

144

1.20634979429304

145

1.36031629519095

146

1.40437563200231

147

1.30312159099016

148

1.38749411551396

149

1.36139064002586

150

1.25045764403398

151

1.03711807312553

152

1.28947074287796

which(abs(covratio(model2)-1) > 3*(26+1)/152)

1

1

3

3

7

7

9

9

13

13

20

20

21

21

23

23

38

38

43

43

48

48

52

52

53

53

59

59

65

65

72

72

81

81

83

83

89

89

90

90

94

94

95

95

96

96

97

97

98

98

104

104

105

105

108

108

115

115

116

116

124

124

136

136

137

137

summary(influence.measures(model2))

Potentially influential observations of
     lm(formula = 연봉.2018. ~ ., data = dt) :

    dfb.1_ dfb.팀명KT dfb.팀명LG dfb.팀명NC dfb.팀명SK dfb.팀명두산
1   -0.02   0.02       0.01       0.01       0.07       0.00       
3    0.35  -0.78      -1.08_*    -0.99      -1.20_*    -1.52_*     
7    0.28  -0.39       0.20       0.06       0.05      -0.03       
13  -0.16   0.62       0.62       0.49       0.60       0.59       
20  -0.05  -0.03      -0.02      -0.05       0.00       0.01       
21  -0.09   0.06       0.01      -0.07       0.06       0.08       
23   0.00   0.00       0.00       0.00       0.00       0.00       
43  -0.04   0.04       0.10       0.01       0.01      -0.01       
83  -0.06  -0.01      -0.01      -0.01       0.01       0.00       
89  -0.23  -0.04      -0.05      -0.03       0.05       0.00       
90   0.01   0.02       0.01       0.01       0.00       0.02       
94   0.00   0.00       0.00      -0.01       0.00       0.01       
96   0.02  -0.04       0.01       0.00       0.01       0.03       
97   0.02   0.07       0.02       0.01       0.02       0.06       
98  -0.19   0.03       0.19       0.27       0.17       0.22       
104  0.00   0.00       0.00       0.01       0.00      -0.04       
105 -0.09   0.02       0.03       0.04       0.03       0.10       
108  0.02   0.00       0.00       0.00       0.00       0.00       
115  0.22   0.18       0.12       0.23       0.18       0.15       
    dfb.팀명롯데 dfb.팀명삼성 dfb.팀명한화 dfb.승  dfb.패  dfb.세 dfb.홀드
1    0.01         0.02         0.03         0.04   -0.03   -0.01  -0.01   
3   -1.38_*      -0.81        -0.77         2.92_* -1.39_*  0.63   0.38   
7   -0.04         0.18         0.14         0.08   -0.65    0.00   0.04   
13   0.58         0.54         0.59         0.09   -0.20    0.19   0.14   
20   0.14         0.00        -0.03        -0.16   -0.03    0.40   0.03   
21  -0.07         0.04         0.51         0.44    0.01    0.89  -0.19   
23   0.00         0.00         0.00         0.00    0.00    0.00   0.01   
43  -0.03         0.06         0.03        -0.03   -0.11    0.03   0.23   
83  -0.01         0.05        -0.02         0.03    0.01    0.01   0.01   
89   0.00        -0.01        -0.02        -0.01    0.05   -0.03  -0.04   
90  -0.03         0.01         0.02        -0.01   -0.01    0.00   0.00   
94   0.00        -0.01         0.00         0.00    0.00    0.00   0.00   
96   0.02        -0.01         0.01        -0.02    0.01    0.00  -0.02   
97   0.02         0.01         0.02         0.02   -0.02    0.01   0.02   
98   0.08         0.21         0.12         0.00   -0.02   -0.08  -0.05   
104  0.00         0.00         0.00        -0.01   -0.01   -0.01  -0.01   
105  0.05         0.02         0.00         0.02    0.06    0.02   0.02   
108  0.00        -0.01         0.00         0.00    0.00    0.00   0.00   
115  0.15         0.20         0.13         0.06   -0.03    0.05   0.04   
    dfb.블론 dfb.경기 dfb.선발 dfb.이닝 dfb.삼진.9 dfb.볼넷.9 dfb.홈런.9
1    0.00     0.01     0.00    -0.01    -0.01      -0.01      -0.01     
3   -0.32    -0.30     0.07    -0.16    -0.41      -0.02      -0.09     
7    0.14     0.12     0.24    -0.07    -0.25       0.02      -0.05     
13  -0.01    -0.03     0.02     0.09    -0.01       0.00      -0.04     
20  -0.10     0.00     0.02     0.03    -0.02      -0.04      -0.03     
21  -0.15     0.03     0.03    -0.17     0.07      -0.09      -0.07     
23   0.00     0.00     0.00     0.00     0.00       0.00       0.00     
43  -0.02     0.12     0.20    -0.15    -0.09      -0.07      -0.07     
83  -0.02    -0.04    -0.01     0.01     0.01      -0.03      -0.02     
89   0.02     0.10     0.02    -0.07    -0.25      -0.40      -0.37     
90   0.01     0.01     0.01     0.00     0.01       0.02       0.01     
94   0.00    -0.01     0.00     0.00     0.00       0.00       0.00     
96  -0.01     0.00    -0.01     0.01     0.03       0.01       0.00     
97   0.00    -0.05    -0.01     0.01     0.04       0.01       0.02     
98   0.04     0.15     0.09    -0.04    -0.30      -0.07      -0.14     
104  0.00     0.01     0.00     0.00     0.03       0.00       0.02     
105  0.00    -0.02    -0.03     0.00    -0.13      -0.04      -0.08     
108  0.00     0.00     0.01     0.00    -0.02       0.00       0.00     
115  0.01    -0.09     0.00     0.03    -0.02      -0.02       0.00     
    dfb.BABI dfb.LOB. dfb.ERA dfb.RA9. dfb.FIP dfb.kFIP dfb.WAR dffit   cov.r  
1   -0.01     0.02     0.01   -0.06     0.01   -0.01     0.12    0.19    1.71_*
3   -0.09     0.25     0.05   -1.64_*   0.21   -0.23     1.47_*  4.89_*  0.00_*
7    0.06    -0.26    -0.05    0.64     0.13   -0.16    -0.92   -1.72_*  0.12_*
13  -0.05    -0.03    -0.02   -0.29     0.04   -0.04     0.03   -1.01    0.25_*
20   0.03     0.05     0.01    0.00     0.02   -0.02     0.03    0.65    2.31_*
21  -0.21    -0.03    -0.04   -0.13     0.04   -0.03     0.15    1.76_*  0.30_*
23   0.00     0.00     0.00    0.00     0.00    0.00     0.00    0.01    1.81_*
43  -0.01     0.06     0.06    0.01     0.08   -0.08     0.04    0.41    1.73_*
83   0.09     0.06    -0.06   -0.02     0.02   -0.02    -0.05    0.34    1.85_*
89  -0.06    -0.05     0.03    0.04     0.34   -0.33     0.03   -0.48    2.58_*
90   0.06    -0.07    -0.07    0.03    -0.01    0.01    -0.01   -0.14    1.74_*
94  -0.04     0.01     0.01   -0.01     0.00    0.00     0.01    0.05    1.98_*
96   0.01    -0.11    -0.07    0.03    -0.01    0.01    -0.03   -0.18    1.67_*
97   0.07    -0.06    -0.04    0.04    -0.02    0.02    -0.07    0.29    2.08_*
98  -0.29     0.74     1.31_* -0.03     0.15   -0.17    -0.03    1.72_*  2.60_*
104  0.11    -0.06    -0.06    0.04    -0.02    0.02    -0.05   -0.20    1.70_*
105  0.37     0.02    -0.21   -0.02     0.10   -0.10     0.03    0.48    2.25_*
108  0.00     0.00     0.00    0.00     0.01   -0.01     0.00   -0.06    1.87_*
115  0.13    -0.26    -0.31    0.00    -0.01    0.01    -0.16   -1.25    2.70_*
    cook.d hat    
1    0.00   0.29  
3    0.63   0.32  
7    0.10   0.20  
13   0.04   0.11  
20   0.02   0.51  
21   0.11   0.27  
23   0.00   0.31  
43   0.01   0.33  
83   0.00   0.36  
89   0.01   0.54_*
90   0.00   0.29  
94   0.00   0.37  
96   0.00   0.27  
97   0.00   0.42  
98   0.11   0.66_*
104  0.00   0.29  
105  0.01   0.48  
108  0.00   0.34  
115  0.06   0.62_*

plot(model2)

## Shapiro-Wilk Test
## H0 : normal distribution vs. H1 : not H0
shapiro.test(resid(model2))

    Shapiro-Wilk normality test

data:  resid(model2)
W = 0.91167, p-value = 5.435e-08

library(lmtest)

Loading required package: zoo


Attaching package: ‘zoo’


The following objects are masked from ‘package:base’:

    as.Date, as.Date.numeric

### 등분산성
## H0 : 등분산 vs. H1 : 이분산 (Heteroscedasticity)
bptest(model2)

    studentized Breusch-Pagan test

data:  model2
BP = 55.489, df = 26, p-value = 0.0006566

변수선택

단계적 전진선택법

m0 = lm(연봉.2018. ~ 1, data = dt)
# 절편먼저 시작

add1(m0,
 scope = 연봉.2018. ~팀명+승+패+세+홀드+블론+경기+선발+이닝+삼진.9+볼넷.9+홈런.9+BABIP+LOB.+ERA+RA9.WAR+FIP+kFIP+WAR,
 test = "F") 

A anova: 20 × 6

	Df	Sum of Sq	RSS	AIC	F value	Pr(>F)
	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>
<none>	NA	NA	144556672039	3144.305	NA	NA
팀명	8	5733352294	138823319745	3154.153	0.7382310	6.575975e-01
승	1	73377399129	71179272910	3038.617	154.6322324	7.609123e-25
패	1	31909645038	112647027001	3108.394	42.4906621	1.018082e-09
세	1	6446108286	138110563754	3139.371	7.0010303	9.014876e-03
홀드	1	43499239	144513172801	3146.259	0.0451508	8.320155e-01
블론	1	1381513110	143175158930	3144.845	1.4473668	2.308464e-01
경기	1	6371372218	138185299822	3139.453	6.9161180	9.432762e-03
선발	1	45409453011	99147219028	3088.991	68.7000404	5.980872e-14
이닝	1	62759336897	81797335142	3059.752	115.0881079	2.775097e-20
삼진.9	1	1556722941	142999949098	3144.659	1.6329267	2.032728e-01
볼넷.9	1	15661166715	128895505324	3128.875	18.2254222	3.465485e-05
홈런.9	1	1957529447	142599142593	3144.232	2.0591247	1.533788e-01
BABIP	1	1513931514	143042740525	3144.704	1.5875656	2.096310e-01
LOB.	1	2283144014	142273528025	3143.885	2.4071351	1.228906e-01
ERA	1	6733177111	137823494928	3139.055	7.3280435	7.576445e-03
RA9.WAR	1	79230247396	65326424643	3025.575	181.9254180	1.175507e-27
FIP	1	11402805814	133153866226	3133.815	12.8454466	4.568071e-04
kFIP	1	12591370602	131965301437	3132.452	14.3121379	2.232236e-04
WAR	1	90535063043	54021608997	2996.693	251.3856901	7.125176e-34

m1 <- update(m0, ~ . +WAR)
summary(m1)

Call:
lm(formula = 연봉.2018. ~ WAR, data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-66769  -5833  -2046   4111 118952 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)     6600       1725   3.827  0.00019 ***
WAR            18519       1168  15.855  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 18980 on 150 degrees of freedom
Multiple R-squared:  0.6263,    Adjusted R-squared:  0.6238 
F-statistic: 251.4 on 1 and 150 DF,  p-value: < 2.2e-16

add1(m1,
 scope = 연봉.2018. ~팀명+승+패+세+홀드+블론+경기+선발+이닝+삼진.9+볼넷.9+홈런.9+BABIP+LOB.+ERA+RA9.WAR+FIP+kFIP+WAR,
 test = "F") 

A anova: 19 × 6

	Df	Sum of Sq	RSS	AIC	F value	Pr(>F)
	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>	<dbl>
<none>	NA	NA	54021608997	2996.693	NA	NA
팀명	8	3.656082e+09	50365526927	3002.041	1.288490e+00	0.254059759
승	1	1.730511e+09	52291097975	2993.744	4.930976e+00	0.027888729
패	1	1.519639e+08	53869645095	2998.265	4.203225e-01	0.517774062
세	1	3.042965e+09	50978643633	2989.880	8.893957e+00	0.003343546
홀드	1	2.526560e+07	53996343398	2998.622	6.971906e-02	0.792111117
블론	1	3.000543e+09	51021066097	2990.007	8.762672e+00	0.003578319
경기	1	4.286190e+08	53592990020	2997.482	1.191653e+00	0.276758468
선발	1	5.471985e+08	53474410450	2997.145	1.524703e+00	0.218852899
이닝	1	1.213852e+02	54021608875	2998.693	3.347992e-07	0.999539103
삼진.9	1	3.956421e+07	53982044788	2998.582	1.092042e-01	0.741516150
볼넷.9	1	5.085840e+07	53970750594	2998.550	1.404076e-01	0.708408949
홈런.9	1	3.176050e+08	53704004008	2997.797	8.811846e-01	0.349396618
BABIP	1	1.955840e+08	53826025006	2998.142	5.414112e-01	0.463005189
LOB.	1	1.973942e+07	54001869580	2998.637	5.446428e-02	0.815789881
ERA	1	1.219540e+07	54009413594	2998.659	3.364441e-02	0.854714605
RA9.WAR	1	1.888461e+08	53832762923	2998.161	5.226941e-01	0.470828073
FIP	1	1.426032e+08	53879005831	2998.291	3.943627e-01	0.530976356
kFIP	1	1.357816e+08	53885827432	2998.310	3.754504e-01	0.540982315

• 너무 귀찮고… 복잡한데..

AIC이용

STEP

model_step = step(
 m0,
 scope = 연봉.2018. ~팀명+승+패+세+홀드+블론+경기+선발+이닝+삼진.9+볼넷.9+홈런.9+BABIP+LOB.+ERA+RA9.WAR+FIP+kFIP+WAR,
 direction = "both")
summary(model_step)

Start:  AIC=3144.3
연봉.2018. ~ 1

          Df  Sum of Sq        RSS    AIC
+ WAR      1 9.0535e+10 5.4022e+10 2996.7
+ RA9.WAR  1 7.9230e+10 6.5326e+10 3025.6
+ 승       1 7.3377e+10 7.1179e+10 3038.6
+ 이닝     1 6.2759e+10 8.1797e+10 3059.8
+ 선발     1 4.5409e+10 9.9147e+10 3089.0
+ 패       1 3.1910e+10 1.1265e+11 3108.4
+ 볼넷.9   1 1.5661e+10 1.2890e+11 3128.9
+ kFIP     1 1.2591e+10 1.3197e+11 3132.4
+ FIP      1 1.1403e+10 1.3315e+11 3133.8
+ ERA      1 6.7332e+09 1.3782e+11 3139.1
+ 세       1 6.4461e+09 1.3811e+11 3139.4
+ 경기     1 6.3714e+09 1.3819e+11 3139.4
+ LOB.     1 2.2831e+09 1.4227e+11 3143.9
+ 홈런.9   1 1.9575e+09 1.4260e+11 3144.2
<none>                  1.4456e+11 3144.3
+ 삼진.9   1 1.5567e+09 1.4300e+11 3144.7
+ BABIP    1 1.5139e+09 1.4304e+11 3144.7
+ 블론     1 1.3815e+09 1.4318e+11 3144.8
+ 홀드     1 4.3499e+07 1.4451e+11 3146.3
+ 팀명     8 5.7334e+09 1.3882e+11 3154.2

Step:  AIC=2996.69
연봉.2018. ~ WAR

          Df  Sum of Sq        RSS    AIC
+ 세       1 3.0430e+09 5.0979e+10 2989.9
+ 블론     1 3.0005e+09 5.1021e+10 2990.0
+ 승       1 1.7305e+09 5.2291e+10 2993.7
<none>                  5.4022e+10 2996.7
+ 선발     1 5.4720e+08 5.3474e+10 2997.2
+ 경기     1 4.2862e+08 5.3593e+10 2997.5
+ 홈런.9   1 3.1760e+08 5.3704e+10 2997.8
+ BABIP    1 1.9558e+08 5.3826e+10 2998.1
+ RA9.WAR  1 1.8885e+08 5.3833e+10 2998.2
+ 패       1 1.5196e+08 5.3870e+10 2998.3
+ FIP      1 1.4260e+08 5.3879e+10 2998.3
+ kFIP     1 1.3578e+08 5.3886e+10 2998.3
+ 볼넷.9   1 5.0858e+07 5.3971e+10 2998.6
+ 삼진.9   1 3.9564e+07 5.3982e+10 2998.6
+ 홀드     1 2.5266e+07 5.3996e+10 2998.6
+ LOB.     1 1.9739e+07 5.4002e+10 2998.6
+ ERA      1 1.2195e+07 5.4009e+10 2998.7
+ 이닝     1 1.2100e+02 5.4022e+10 2998.7
+ 팀명     8 3.6561e+09 5.0366e+10 3002.0
- WAR      1 9.0535e+10 1.4456e+11 3144.3

Step:  AIC=2989.88
연봉.2018. ~ WAR + 세

          Df  Sum of Sq        RSS    AIC
+ 승       1 1.8583e+09 4.9120e+10 2986.2
+ 블론     1 7.0314e+08 5.0276e+10 2989.8
<none>                  5.0979e+10 2989.9
+ kFIP     1 5.6448e+08 5.0414e+10 2990.2
+ FIP      1 4.9951e+08 5.0479e+10 2990.4
+ 홈런.9   1 4.4165e+08 5.0537e+10 2990.6
+ 삼진.9   1 2.3464e+08 5.0744e+10 2991.2
+ 패       1 1.7676e+08 5.0802e+10 2991.3
+ BABIP    1 8.9298e+07 5.0889e+10 2991.6
+ 이닝     1 2.4856e+07 5.0954e+10 2991.8
+ LOB.     1 1.8541e+07 5.0960e+10 2991.8
+ ERA      1 1.5240e+07 5.0963e+10 2991.8
+ 경기     1 1.0175e+07 5.0968e+10 2991.8
+ 선발     1 9.8418e+06 5.0969e+10 2991.8
+ 홀드     1 1.9815e+06 5.0977e+10 2991.9
+ 볼넷.9   1 1.4928e+06 5.0977e+10 2991.9
+ RA9.WAR  1 1.4282e+06 5.0977e+10 2991.9
+ 팀명     8 3.5875e+09 4.7391e+10 2994.8
- 세       1 3.0430e+09 5.4022e+10 2996.7
- WAR      1 8.7132e+10 1.3811e+11 3139.4

Step:  AIC=2986.24
연봉.2018. ~ WAR + 세 + 승

          Df  Sum of Sq        RSS    AIC
+ 패       1 1.3060e+09 4.7814e+10 2984.1
+ 이닝     1 1.2755e+09 4.7845e+10 2984.2
+ 경기     1 7.3078e+08 4.8390e+10 2986.0
<none>                  4.9120e+10 2986.2
+ 선발     1 5.6173e+08 4.8559e+10 2986.5
+ kFIP     1 4.9401e+08 4.8626e+10 2986.7
+ FIP      1 4.4265e+08 4.8678e+10 2986.9
+ RA9.WAR  1 4.1326e+08 4.8707e+10 2986.9
+ 홈런.9   1 2.9281e+08 4.8828e+10 2987.3
+ 삼진.9   1 1.4294e+08 4.8977e+10 2987.8
+ 블론     1 1.3742e+08 4.8983e+10 2987.8
+ 홀드     1 1.2820e+08 4.8992e+10 2987.8
+ ERA      1 7.3246e+07 4.9047e+10 2988.0
+ 볼넷.9   1 3.2209e+07 4.9088e+10 2988.1
+ LOB.     1 3.0027e+07 4.9090e+10 2988.1
+ BABIP    1 2.3777e+06 4.9118e+10 2988.2
- 승       1 1.8583e+09 5.0979e+10 2989.9
+ 팀명     8 3.4764e+09 4.5644e+10 2991.1
- 세       1 3.1707e+09 5.2291e+10 2993.7
- WAR      1 1.7726e+10 6.6847e+10 3031.1

Step:  AIC=2984.14
연봉.2018. ~ WAR + 세 + 승 + 패

          Df  Sum of Sq        RSS    AIC
+ RA9.WAR  1 7.0482e+08 4.7110e+10 2983.9
<none>                  4.7814e+10 2984.1
+ 경기     1 5.1652e+08 4.7298e+10 2984.5
+ kFIP     1 5.1571e+08 4.7299e+10 2984.5
+ FIP      1 4.5277e+08 4.7362e+10 2984.7
+ 홈런.9   1 3.5756e+08 4.7457e+10 2985.0
+ 이닝     1 2.7090e+08 4.7544e+10 2985.3
+ 블론     1 2.3621e+08 4.7578e+10 2985.4
+ 삼진.9   1 1.9710e+08 4.7617e+10 2985.5
+ LOB.     1 1.4784e+08 4.7667e+10 2985.7
+ ERA      1 8.5522e+07 4.7729e+10 2985.9
+ 홀드     1 8.0301e+07 4.7734e+10 2985.9
+ 선발     1 2.0412e+07 4.7794e+10 2986.1
+ BABIP    1 5.9999e+06 4.7808e+10 2986.1
+ 볼넷.9   1 3.8294e+05 4.7814e+10 2986.1
- 패       1 1.3060e+09 4.9120e+10 2986.2
+ 팀명     8 4.0489e+09 4.3766e+10 2986.7
- 승       1 2.9875e+09 5.0802e+10 2991.3
- 세       1 3.3025e+09 5.1117e+10 2992.3
- WAR      1 1.8530e+10 6.6345e+10 3031.9

Step:  AIC=2983.88
연봉.2018. ~ WAR + 세 + 승 + 패 + RA9.WAR

          Df  Sum of Sq        RSS    AIC
<none>                  4.7110e+10 2983.9
+ kFIP     1 5.5378e+08 4.6556e+10 2984.1
+ 경기     1 5.4513e+08 4.6564e+10 2984.1
- RA9.WAR  1 7.0482e+08 4.7814e+10 2984.1
+ FIP      1 4.6551e+08 4.6644e+10 2984.4
+ 홈런.9   1 3.3666e+08 4.6773e+10 2984.8
+ 삼진.9   1 3.0265e+08 4.6807e+10 2984.9
+ 블론     1 1.2925e+08 4.6980e+10 2985.5
+ 홀드     1 9.0189e+07 4.7019e+10 2985.6
+ BABIP    1 7.1631e+07 4.7038e+10 2985.7
+ 이닝     1 4.2896e+07 4.7067e+10 2985.7
+ ERA      1 1.6033e+07 4.7094e+10 2985.8
+ 선발     1 5.9070e+06 4.7104e+10 2985.9
+ LOB.     1 4.5815e+06 4.7105e+10 2985.9
+ 볼넷.9   1 6.3618e+04 4.7110e+10 2985.9
- 패       1 1.5975e+09 4.8707e+10 2986.9
+ 팀명     8 3.8403e+09 4.3269e+10 2987.0
- 승       1 3.6878e+09 5.0797e+10 2993.3
- 세       1 3.9111e+09 5.1021e+10 2994.0
- WAR      1 1.2311e+10 5.9421e+10 3017.2

Call:
lm(formula = 연봉.2018. ~ WAR + 세 + 승 + 패 + RA9.WAR, 
    data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-57203  -4481   -518   5092  98660 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   4640.9     2190.1   2.119 0.035783 *  
WAR          17999.2     2913.9   6.177 6.16e-09 ***
세            1105.3      317.5   3.482 0.000658 ***
승            2831.9      837.7   3.381 0.000928 ***
패           -1505.7      676.7  -2.225 0.027609 *  
RA9.WAR      -3428.2     2319.5  -1.478 0.141573    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 17960 on 146 degrees of freedom
Multiple R-squared:  0.6741,    Adjusted R-squared:  0.6629 
F-statistic:  60.4 on 5 and 146 DF,  p-value: < 2.2e-16

• AIC를 이용하면 최종 모형은 “연봉.2018. ~ WAR + 세 + 승 + 패 + RA9.WAR” 이다.

후진

model_back = step(model2, direction = "backward")
summary(model_back)

Start:  AIC=3000.21
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 홀드 + 블론 + 경기 + 
    선발 + 이닝 + 삼진.9 + 볼넷.9 + 홈런.9 + BABIP + 
    LOB. + ERA + RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- 삼진.9   1    8197091 3.9798e+10 2998.2
- ERA      1   10387869 3.9800e+10 2998.2
- LOB.     1   64367797 3.9854e+10 2998.5
- kFIP     1   77615678 3.9867e+10 2998.5
- FIP      1   90577046 3.9880e+10 2998.6
- 볼넷.9   1  132645645 3.9922e+10 2998.7
- BABIP    1  170471360 3.9960e+10 2998.9
- 홈런.9   1  184287409 3.9974e+10 2998.9
- 홀드     1  204952742 3.9994e+10 2999.0
- 팀명     8 4201080265 4.3991e+10 2999.5
- 블론     1  392171281 4.0182e+10 2999.7
- RA9.WAR  1  448716954 4.0238e+10 2999.9
- 이닝     1  473170227 4.0263e+10 3000.0
- 선발     1  518773402 4.0308e+10 3000.2
<none>                  3.9789e+10 3000.2
- 패       1  842395946 4.0632e+10 3001.4
- 경기     1 1300498944 4.1090e+10 3003.1
- 세       1 1918682650 4.1708e+10 3005.4
- 승       1 2741990179 4.2531e+10 3008.3
- WAR      1 9184291500 4.8974e+10 3029.8

Step:  AIC=2998.25
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 홀드 + 블론 + 경기 + 
    선발 + 이닝 + 볼넷.9 + 홈런.9 + BABIP + LOB. + ERA + 
    RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- ERA      1   10169383 3.9808e+10 2996.3
- LOB.     1   65361211 3.9863e+10 2996.5
- BABIP    1  163630304 3.9961e+10 2996.9
- 볼넷.9   1  175813214 3.9973e+10 2996.9
- 홀드     1  205908453 4.0004e+10 2997.0
- FIP      1  301484311 4.0099e+10 2997.4
- kFIP     1  324158764 4.0122e+10 2997.5
- 팀명     8 4212864623 4.4011e+10 2997.5
- 홈런.9   1  362911144 4.0161e+10 2997.6
- 블론     1  394851659 4.0193e+10 2997.8
- RA9.WAR  1  443540025 4.0241e+10 2997.9
- 이닝     1  465042521 4.0263e+10 2998.0
- 선발     1  515010811 4.0313e+10 2998.2
<none>                  3.9798e+10 2998.2
- 패       1  834201187 4.0632e+10 2999.4
- 경기     1 1293281645 4.1091e+10 3001.1
- 세       1 1911988086 4.1710e+10 3003.4
- 승       1 2773195191 4.2571e+10 3006.5
- WAR      1 9193295470 4.8991e+10 3027.8

Step:  AIC=2996.28
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 홀드 + 블론 + 경기 + 
    선발 + 이닝 + 볼넷.9 + 홈런.9 + BABIP + LOB. + RA9.WAR + 
    FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- LOB.     1   72922455 3.9881e+10 2994.6
- 볼넷.9   1  173310646 3.9981e+10 2994.9
- 홀드     1  200933380 4.0009e+10 2995.1
- BABIP    1  301616031 4.0109e+10 2995.4
- FIP      1  318111761 4.0126e+10 2995.5
- kFIP     1  341386605 4.0149e+10 2995.6
- 홈런.9   1  366390239 4.0174e+10 2995.7
- 블론     1  396568615 4.0204e+10 2995.8
- 팀명     8 4293631610 4.4101e+10 2995.8
- 이닝     1  460179563 4.0268e+10 2996.0
- RA9.WAR  1  476388061 4.0284e+10 2996.1
- 선발     1  505829968 4.0314e+10 2996.2
<none>                  3.9808e+10 2996.3
- 패       1  849127946 4.0657e+10 2997.5
- 경기     1 1293231156 4.1101e+10 2999.1
- 세       1 1902025740 4.1710e+10 3001.4
- 승       1 2768648270 4.2576e+10 3004.5
- WAR      1 9428720510 4.9237e+10 3026.6

Step:  AIC=2994.56
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 홀드 + 블론 + 경기 + 
    선발 + 이닝 + 볼넷.9 + 홈런.9 + BABIP + RA9.WAR + 
    FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- 볼넷.9   1 1.3921e+08 4.0020e+10 2993.1
- 홀드     1 1.9204e+08 4.0073e+10 2993.3
- BABIP    1 2.2929e+08 4.0110e+10 2993.4
- FIP      1 2.8027e+08 4.0161e+10 2993.6
- kFIP     1 3.0644e+08 4.0187e+10 2993.7
- 홈런.9   1 3.2088e+08 4.0202e+10 2993.8
- 블론     1 3.7442e+08 4.0255e+10 2994.0
- 팀명     8 4.2683e+09 4.4149e+10 2994.0
- 이닝     1 4.8193e+08 4.0363e+10 2994.4
- 선발     1 5.2257e+08 4.0403e+10 2994.5
<none>                  3.9881e+10 2994.6
- RA9.WAR  1 6.8061e+08 4.0561e+10 2995.1
- 패       1 8.1448e+08 4.0695e+10 2995.6
- 경기     1 1.2599e+09 4.1141e+10 2997.3
- 세       1 1.8994e+09 4.1780e+10 2999.6
- 승       1 2.8139e+09 4.2695e+10 3002.9
- WAR      1 1.0124e+10 5.0005e+10 3026.9

Step:  AIC=2993.09
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 홀드 + 블론 + 경기 + 
    선발 + 이닝 + 홈런.9 + BABIP + RA9.WAR + FIP + kFIP + 
    WAR

          Df  Sum of Sq        RSS    AIC
- 홀드     1 1.7588e+08 4.0196e+10 2991.8
- 팀명     8 4.1448e+09 4.4165e+10 2992.1
- BABIP    1 2.8736e+08 4.0307e+10 2992.2
- FIP      1 3.6095e+08 4.0381e+10 2992.5
- 블론     1 3.7329e+08 4.0393e+10 2992.5
- kFIP     1 3.7797e+08 4.0398e+10 2992.5
- 이닝     1 4.8502e+08 4.0505e+10 2992.9
<none>                  4.0020e+10 2993.1
- 홈런.9   1 5.5115e+08 4.0571e+10 2993.2
- 선발     1 5.7475e+08 4.0595e+10 2993.3
- RA9.WAR  1 6.6202e+08 4.0682e+10 2993.6
- 패       1 7.4696e+08 4.0767e+10 2993.9
- 경기     1 1.2608e+09 4.1281e+10 2995.8
- 세       1 1.8969e+09 4.1917e+10 2998.1
- 승       1 2.8263e+09 4.2846e+10 3001.5
- WAR      1 1.0042e+10 5.0062e+10 3025.1

Step:  AIC=2991.76
연봉.2018. ~ 팀명 + 승 + 패 + 세 + 블론 + 경기 + 선발 + 
    이닝 + 홈런.9 + BABIP + RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- 팀명     8 4.1114e+09 4.4307e+10 2990.6
- BABIP    1 2.6339e+08 4.0459e+10 2990.8
- FIP      1 3.3802e+08 4.0534e+10 2991.0
- kFIP     1 3.5713e+08 4.0553e+10 2991.1
- 이닝     1 3.7841e+08 4.0574e+10 2991.2
- 블론     1 4.5054e+08 4.0646e+10 2991.4
- 홈런.9   1 5.1915e+08 4.0715e+10 2991.7
<none>                  4.0196e+10 2991.8
- RA9.WAR  1 5.4548e+08 4.0741e+10 2991.8
- 선발     1 5.8729e+08 4.0783e+10 2992.0
- 패       1 5.9531e+08 4.0791e+10 2992.0
- 경기     1 1.1148e+09 4.1311e+10 2993.9
- 세       1 1.8595e+09 4.2055e+10 2996.6
- 승       1 2.7664e+09 4.2962e+10 2999.9
- WAR      1 1.0302e+10 5.0498e+10 3024.4

Step:  AIC=2990.56
연봉.2018. ~ 승 + 패 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    홈런.9 + BABIP + RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- BABIP    1 1.3853e+08 4.4446e+10 2989.0
- FIP      1 2.2335e+08 4.4531e+10 2989.3
- kFIP     1 2.3816e+08 4.4545e+10 2989.4
- 홈런.9   1 3.3332e+08 4.4641e+10 2989.7
- 패       1 3.9536e+08 4.4703e+10 2989.9
- 이닝     1 4.4717e+08 4.4754e+10 2990.1
- 블론     1 5.5604e+08 4.4863e+10 2990.5
<none>                  4.4307e+10 2990.6
- 선발     1 6.3999e+08 4.4947e+10 2990.7
- RA9.WAR  1 6.8962e+08 4.4997e+10 2990.9
- 경기     1 1.3361e+09 4.5643e+10 2993.1
- 세       1 1.9552e+09 4.6262e+10 2995.1
- 승       1 2.6788e+09 4.6986e+10 2997.5
- WAR      1 1.0270e+10 5.4577e+10 3020.2

Step:  AIC=2989.04
연봉.2018. ~ 승 + 패 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    홈런.9 + RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- 홈런.9   1 3.5998e+08 4.4806e+10 2988.3
- 패       1 4.0545e+08 4.4851e+10 2988.4
- FIP      1 4.1545e+08 4.4861e+10 2988.4
- 이닝     1 4.4992e+08 4.4896e+10 2988.6
- kFIP     1 4.7433e+08 4.4920e+10 2988.7
- 블론     1 5.6820e+08 4.5014e+10 2989.0
<none>                  4.4446e+10 2989.0
- RA9.WAR  1 6.0184e+08 4.5048e+10 2989.1
- 선발     1 6.3237e+08 4.5078e+10 2989.2
- 경기     1 1.2656e+09 4.5711e+10 2991.3
- 세       1 1.9450e+09 4.6391e+10 2993.6
- 승       1 2.6400e+09 4.7086e+10 2995.8
- WAR      1 1.0158e+10 5.4604e+10 3018.3

Step:  AIC=2988.26
연봉.2018. ~ 승 + 패 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    RA9.WAR + FIP + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- FIP      1   62772605 4.4869e+10 2986.5
- kFIP     1  124620325 4.4930e+10 2986.7
- 패       1  371798316 4.5178e+10 2987.5
- 블론     1  533889189 4.5340e+10 2988.1
- 이닝     1  561530976 4.5367e+10 2988.2
<none>                  4.4806e+10 2988.3
- RA9.WAR  1  625829790 4.5432e+10 2988.4
- 선발     1  699410722 4.5505e+10 2988.6
- 경기     1 1251823806 4.6058e+10 2990.4
- 세       1 2022180523 4.6828e+10 2993.0
- 승       1 2613754569 4.7419e+10 2994.9
- WAR      1 9971984968 5.4778e+10 3016.8

Step:  AIC=2986.47
연봉.2018. ~ 승 + 패 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    RA9.WAR + kFIP + WAR

          Df  Sum of Sq        RSS    AIC
- kFIP     1  298981675 4.5167e+10 2985.5
- 패       1  370858362 4.5239e+10 2985.7
- 블론     1  516063089 4.5385e+10 2986.2
- 이닝     1  573519854 4.5442e+10 2986.4
<none>                  4.4869e+10 2986.5
- RA9.WAR  1  605724065 4.5474e+10 2986.5
- 선발     1  697733551 4.5566e+10 2986.8
- 경기     1 1284322461 4.6153e+10 2988.8
- 세       1 2006638182 4.6875e+10 2991.1
- 승       1 2609962086 4.7478e+10 2993.1
- WAR      1 9969383557 5.4838e+10 3015.0

Step:  AIC=2985.48
연봉.2018. ~ 승 + 패 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    RA9.WAR + WAR

          Df  Sum of Sq        RSS    AIC
- 패       1  372248481 4.5540e+10 2984.7
- 블론     1  457113961 4.5625e+10 2985.0
<none>                  4.5167e+10 2985.5
- RA9.WAR  1  637686309 4.5805e+10 2985.6
- 이닝     1  670888796 4.5838e+10 2985.7
- 선발     1  759346878 4.5927e+10 2986.0
- 경기     1 1597597737 4.6765e+10 2988.8
- 세       1 2081882764 4.7249e+10 2990.3
- 승       1 2810049547 4.7978e+10 2992.7
- WAR      1 9832711516 5.5000e+10 3013.4

Step:  AIC=2984.73
연봉.2018. ~ 승 + 세 + 블론 + 경기 + 선발 + 이닝 + 
    RA9.WAR + WAR

          Df  Sum of Sq        RSS    AIC
- 블론     1  311526554 4.5851e+10 2983.8
- RA9.WAR  1  409065657 4.5949e+10 2984.1
<none>                  4.5540e+10 2984.7
- 이닝     1  608436766 4.6148e+10 2984.8
- 선발     1 1283431857 4.6823e+10 2987.0
- 세       1 1938650428 4.7478e+10 2989.1
- 경기     1 2032045528 4.7572e+10 2989.4
- 승       1 3013869783 4.8554e+10 2992.5
- WAR      1 9464923013 5.5005e+10 3011.4

Step:  AIC=2983.77
연봉.2018. ~ 승 + 세 + 경기 + 선발 + 이닝 + RA9.WAR + 
    WAR

          Df  Sum of Sq        RSS    AIC
- RA9.WAR  1  530155684 4.6381e+10 2983.5
<none>                  4.5851e+10 2983.8
- 이닝     1  609450595 4.6461e+10 2983.8
- 선발     1 1374006230 4.7225e+10 2986.3
- 경기     1 1805749334 4.7657e+10 2987.6
- 세       1 3671562216 4.9523e+10 2993.5
- 승       1 3747280614 4.9599e+10 2993.7
- WAR      1 9319958340 5.5171e+10 3009.9

Step:  AIC=2983.52
연봉.2018. ~ 승 + 세 + 경기 + 선발 + 이닝 + WAR

       Df  Sum of Sq        RSS    AIC
- 이닝  1 3.6450e+08 4.6746e+10 2982.7
<none>               4.6381e+10 2983.5
- 선발  1 1.0824e+09 4.7464e+10 2985.0
- 경기  1 1.4599e+09 4.7841e+10 2986.2
- 세    1 3.1641e+09 4.9546e+10 2991.6
- 승    1 3.3013e+09 4.9683e+10 2992.0
- WAR   1 1.0769e+10 5.7151e+10 3013.2

Step:  AIC=2982.71
연봉.2018. ~ 승 + 세 + 경기 + 선발 + WAR

       Df  Sum of Sq        RSS    AIC
<none>               4.6746e+10 2982.7
- 선발  1 1.6437e+09 4.8390e+10 2986.0
- 경기  1 1.8127e+09 4.8559e+10 2986.5
- 세    1 2.9722e+09 4.9718e+10 2990.1
- 승    1 4.2089e+09 5.0955e+10 2993.8
- WAR   1 1.5570e+10 6.2316e+10 3024.4

Call:
lm(formula = 연봉.2018. ~ 승 + 세 + 경기 + 선발 + WAR, 
    data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-57884  -5379  -1012   6388 100709 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   8485.8     2977.2   2.850 0.005001 ** 
승            3343.3      922.1   3.626 0.000397 ***
세            1074.1      352.5   3.047 0.002746 ** 
경기          -258.2      108.5  -2.379 0.018633 *  
선발          -695.0      306.7  -2.266 0.024938 *  
WAR          14803.3     2122.8   6.973 9.94e-11 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 17890 on 146 degrees of freedom
Multiple R-squared:  0.6766,    Adjusted R-squared:  0.6656 
F-statistic:  61.1 on 5 and 146 DF,  p-value: < 2.2e-16

forwrad

model_forward = step(
 m0,
 scope = 연봉.2018. ~팀명+승+패+세+홀드+블론+경기+선발+이닝+삼진.9+볼넷.9+홈런.9+BABIP+LOB.+ERA+RA9.WAR+FIP+kFIP+WAR,
 direction = "forward")
summary(model_forward)

Start:  AIC=3144.3
연봉.2018. ~ 1

          Df  Sum of Sq        RSS    AIC
+ WAR      1 9.0535e+10 5.4022e+10 2996.7
+ RA9.WAR  1 7.9230e+10 6.5326e+10 3025.6
+ 승       1 7.3377e+10 7.1179e+10 3038.6
+ 이닝     1 6.2759e+10 8.1797e+10 3059.8
+ 선발     1 4.5409e+10 9.9147e+10 3089.0
+ 패       1 3.1910e+10 1.1265e+11 3108.4
+ 볼넷.9   1 1.5661e+10 1.2890e+11 3128.9
+ kFIP     1 1.2591e+10 1.3197e+11 3132.4
+ FIP      1 1.1403e+10 1.3315e+11 3133.8
+ ERA      1 6.7332e+09 1.3782e+11 3139.1
+ 세       1 6.4461e+09 1.3811e+11 3139.4
+ 경기     1 6.3714e+09 1.3819e+11 3139.4
+ LOB.     1 2.2831e+09 1.4227e+11 3143.9
+ 홈런.9   1 1.9575e+09 1.4260e+11 3144.2
<none>                  1.4456e+11 3144.3
+ 삼진.9   1 1.5567e+09 1.4300e+11 3144.7
+ BABIP    1 1.5139e+09 1.4304e+11 3144.7
+ 블론     1 1.3815e+09 1.4318e+11 3144.8
+ 홀드     1 4.3499e+07 1.4451e+11 3146.3
+ 팀명     8 5.7334e+09 1.3882e+11 3154.2

Step:  AIC=2996.69
연봉.2018. ~ WAR

          Df  Sum of Sq        RSS    AIC
+ 세       1 3042965364 5.0979e+10 2989.9
+ 블론     1 3000542900 5.1021e+10 2990.0
+ 승       1 1730511022 5.2291e+10 2993.7
<none>                  5.4022e+10 2996.7
+ 선발     1  547198547 5.3474e+10 2997.2
+ 경기     1  428618977 5.3593e+10 2997.5
+ 홈런.9   1  317604988 5.3704e+10 2997.8
+ BABIP    1  195583991 5.3826e+10 2998.1
+ RA9.WAR  1  188846074 5.3833e+10 2998.2
+ 패       1  151963902 5.3870e+10 2998.3
+ FIP      1  142603166 5.3879e+10 2998.3
+ kFIP     1  135781565 5.3886e+10 2998.3
+ 볼넷.9   1   50858403 5.3971e+10 2998.6
+ 삼진.9   1   39564209 5.3982e+10 2998.6
+ 홀드     1   25265599 5.3996e+10 2998.6
+ LOB.     1   19739417 5.4002e+10 2998.6
+ ERA      1   12195403 5.4009e+10 2998.7
+ 이닝     1        121 5.4022e+10 2998.7
+ 팀명     8 3656082069 5.0366e+10 3002.0

Step:  AIC=2989.88
연봉.2018. ~ WAR + 세

          Df  Sum of Sq        RSS    AIC
+ 승       1 1858274364 4.9120e+10 2986.2
+ 블론     1  703141829 5.0276e+10 2989.8
<none>                  5.0979e+10 2989.9
+ kFIP     1  564478145 5.0414e+10 2990.2
+ FIP      1  499506487 5.0479e+10 2990.4
+ 홈런.9   1  441647752 5.0537e+10 2990.6
+ 삼진.9   1  234640991 5.0744e+10 2991.2
+ 패       1  176757884 5.0802e+10 2991.3
+ BABIP    1   89297926 5.0889e+10 2991.6
+ 이닝     1   24856278 5.0954e+10 2991.8
+ LOB.     1   18540947 5.0960e+10 2991.8
+ ERA      1   15239596 5.0963e+10 2991.8
+ 경기     1   10174902 5.0968e+10 2991.8
+ 선발     1    9841794 5.0969e+10 2991.8
+ 홀드     1    1981457 5.0977e+10 2991.9
+ 볼넷.9   1    1492812 5.0977e+10 2991.9
+ RA9.WAR  1    1428169 5.0977e+10 2991.9
+ 팀명     8 3587506089 4.7391e+10 2994.8

Step:  AIC=2986.24
연봉.2018. ~ WAR + 세 + 승

          Df  Sum of Sq        RSS    AIC
+ 패       1 1305968883 4.7814e+10 2984.1
+ 이닝     1 1275519767 4.7845e+10 2984.2
+ 경기     1  730779643 4.8390e+10 2986.0
<none>                  4.9120e+10 2986.2
+ 선발     1  561726990 4.8559e+10 2986.5
+ kFIP     1  494014668 4.8626e+10 2986.7
+ FIP      1  442650045 4.8678e+10 2986.9
+ RA9.WAR  1  413259850 4.8707e+10 2986.9
+ 홈런.9   1  292811334 4.8828e+10 2987.3
+ 삼진.9   1  142938918 4.8977e+10 2987.8
+ 블론     1  137415116 4.8983e+10 2987.8
+ 홀드     1  128201381 4.8992e+10 2987.8
+ ERA      1   73246153 4.9047e+10 2988.0
+ 볼넷.9   1   32208563 4.9088e+10 2988.1
+ LOB.     1   30027104 4.9090e+10 2988.1
+ BABIP    1    2377709 4.9118e+10 2988.2
+ 팀명     8 3476369083 4.5644e+10 2991.1

Step:  AIC=2984.14
연봉.2018. ~ WAR + 세 + 승 + 패

          Df  Sum of Sq        RSS    AIC
+ RA9.WAR  1  704822673 4.7110e+10 2983.9
<none>                  4.7814e+10 2984.1
+ 경기     1  516517842 4.7298e+10 2984.5
+ kFIP     1  515712588 4.7299e+10 2984.5
+ FIP      1  452768717 4.7362e+10 2984.7
+ 홈런.9   1  357555270 4.7457e+10 2985.0
+ 이닝     1  270900219 4.7544e+10 2985.3
+ 블론     1  236208897 4.7578e+10 2985.4
+ 삼진.9   1  197097985 4.7617e+10 2985.5
+ LOB.     1  147844653 4.7667e+10 2985.7
+ ERA      1   85521777 4.7729e+10 2985.9
+ 홀드     1   80301276 4.7734e+10 2985.9
+ 선발     1   20412125 4.7794e+10 2986.1
+ BABIP    1    5999905 4.7808e+10 2986.1
+ 볼넷.9   1     382936 4.7814e+10 2986.1
+ 팀명     8 4048889828 4.3766e+10 2986.7

Step:  AIC=2983.88
연봉.2018. ~ WAR + 세 + 승 + 패 + RA9.WAR

         Df  Sum of Sq        RSS    AIC
<none>                 4.7110e+10 2983.9
+ kFIP    1  553776772 4.6556e+10 2984.1
+ 경기    1  545131184 4.6564e+10 2984.1
+ FIP     1  465512200 4.6644e+10 2984.4
+ 홈런.9  1  336663743 4.6773e+10 2984.8
+ 삼진.9  1  302647038 4.6807e+10 2984.9
+ 블론    1  129249402 4.6980e+10 2985.5
+ 홀드    1   90189291 4.7019e+10 2985.6
+ BABIP   1   71631104 4.7038e+10 2985.7
+ 이닝    1   42895844 4.7067e+10 2985.7
+ ERA     1   16033110 4.7094e+10 2985.8
+ 선발    1    5907023 4.7104e+10 2985.9
+ LOB.    1    4581529 4.7105e+10 2985.9
+ 볼넷.9  1      63618 4.7110e+10 2985.9
+ 팀명    8 3840270065 4.3269e+10 2987.0

Call:
lm(formula = 연봉.2018. ~ WAR + 세 + 승 + 패 + RA9.WAR, 
    data = dt)

Residuals:
   Min     1Q Median     3Q    Max 
-57203  -4481   -518   5092  98660 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   4640.9     2190.1   2.119 0.035783 *  
WAR          17999.2     2913.9   6.177 6.16e-09 ***
세            1105.3      317.5   3.482 0.000658 ***
승            2831.9      837.7   3.381 0.000928 ***
패           -1505.7      676.7  -2.225 0.027609 *  
RA9.WAR      -3428.2     2319.5  -1.478 0.141573    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 17960 on 146 degrees of freedom
Multiple R-squared:  0.6741,    Adjusted R-squared:  0.6629 
F-statistic:  60.4 on 5 and 146 DF,  p-value: < 2.2e-16

regsubsets

library(leaps)

fit <- regsubsets(연봉.2018.~., data=dt, nbest=1, nvmax=30, method='exhaustive',)
summary(fit)

Subset selection object
Call: regsubsets.formula(연봉.2018. ~ ., data = dt, nbest = 1, nvmax = 30, 
    method = "exhaustive", )
26 Variables  (and intercept)
         Forced in Forced out
팀명KT       FALSE      FALSE
팀명LG       FALSE      FALSE
팀명NC       FALSE      FALSE
팀명SK       FALSE      FALSE
팀명두산     FALSE      FALSE
팀명롯데     FALSE      FALSE
팀명삼성     FALSE      FALSE
팀명한화     FALSE      FALSE
승           FALSE      FALSE
패           FALSE      FALSE
세           FALSE      FALSE
홀드         FALSE      FALSE
블론         FALSE      FALSE
경기         FALSE      FALSE
선발         FALSE      FALSE
이닝         FALSE      FALSE
삼진.9       FALSE      FALSE
볼넷.9       FALSE      FALSE
홈런.9       FALSE      FALSE
BABIP        FALSE      FALSE
LOB.         FALSE      FALSE
ERA          FALSE      FALSE
RA9.WAR      FALSE      FALSE
FIP          FALSE      FALSE
kFIP         FALSE      FALSE
WAR          FALSE      FALSE
1 subsets of each size up to 26
Selection Algorithm: exhaustive
          팀명KT 팀명LG 팀명NC 팀명SK 팀명두산 팀명롯데 팀명삼성 팀명한화 승 
1  ( 1 )  " "    " "    " "    " "    " "      " "      " "      " "      " "
2  ( 1 )  " "    " "    " "    " "    " "      " "      " "      " "      " "
3  ( 1 )  " "    " "    " "    " "    " "      " "      " "      "*"      " "
4  ( 1 )  " "    " "    " "    " "    " "      " "      " "      "*"      "*"
5  ( 1 )  " "    " "    " "    " "    " "      " "      " "      "*"      "*"
6  ( 1 )  " "    " "    " "    " "    " "      " "      " "      "*"      "*"
7  ( 1 )  " "    " "    " "    " "    " "      " "      " "      "*"      "*"
8  ( 1 )  " "    " "    "*"    " "    " "      " "      " "      "*"      "*"
9  ( 1 )  " "    " "    " "    " "    " "      " "      "*"      "*"      "*"
10  ( 1 ) " "    " "    " "    " "    " "      " "      "*"      "*"      "*"
11  ( 1 ) " "    " "    " "    " "    " "      " "      "*"      "*"      "*"
12  ( 1 ) " "    " "    " "    " "    "*"      " "      "*"      "*"      "*"
13  ( 1 ) " "    " "    " "    " "    " "      " "      "*"      "*"      "*"
14  ( 1 ) " "    " "    "*"    " "    "*"      " "      " "      "*"      "*"
15  ( 1 ) " "    " "    "*"    "*"    "*"      " "      " "      "*"      "*"
16  ( 1 ) "*"    " "    "*"    "*"    "*"      " "      " "      "*"      "*"
17  ( 1 ) "*"    " "    "*"    "*"    "*"      " "      " "      "*"      "*"
18  ( 1 ) "*"    " "    "*"    "*"    "*"      " "      " "      "*"      "*"
19  ( 1 ) "*"    " "    "*"    "*"    "*"      "*"      " "      "*"      "*"
20  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
21  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
22  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
23  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
24  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
25  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      " "      "*"      "*"
26  ( 1 ) "*"    "*"    "*"    "*"    "*"      "*"      "*"      "*"      "*"
          패  세  홀드 블론 경기 선발 이닝 삼진.9 볼넷.9 홈런.9 BABIP LOB. ERA
1  ( 1 )  " " " " " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
2  ( 1 )  " " "*" " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
3  ( 1 )  " " "*" " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
4  ( 1 )  " " "*" " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
5  ( 1 )  "*" "*" " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
6  ( 1 )  " " "*" " "  " "  "*"  "*"  " "  " "    " "    " "    " "   " "  " "
7  ( 1 )  " " "*" " "  " "  "*"  "*"  " "  " "    " "    " "    " "   " "  " "
8  ( 1 )  "*" "*" " "  " "  " "  " "  " "  " "    " "    " "    " "   " "  " "
9  ( 1 )  "*" "*" " "  "*"  "*"  " "  " "  " "    " "    " "    " "   " "  " "
10  ( 1 ) "*" "*" " "  "*"  "*"  " "  " "  "*"    " "    "*"    " "   " "  " "
11  ( 1 ) "*" "*" " "  "*"  "*"  " "  " "  "*"    " "    "*"    " "   " "  " "
12  ( 1 ) "*" "*" " "  "*"  "*"  " "  " "  "*"    " "    "*"    " "   " "  " "
13  ( 1 ) "*" "*" " "  "*"  "*"  "*"  "*"  "*"    " "    "*"    " "   " "  " "
14  ( 1 ) "*" "*" " "  "*"  "*"  "*"  "*"  " "    " "    "*"    "*"   " "  " "
15  ( 1 ) "*" "*" " "  "*"  "*"  "*"  "*"  " "    " "    "*"    "*"   " "  " "
16  ( 1 ) "*" "*" " "  "*"  "*"  "*"  "*"  "*"    " "    "*"    " "   " "  " "
17  ( 1 ) "*" "*" " "  "*"  "*"  "*"  "*"  "*"    " "    "*"    "*"   " "  " "
18  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    " "    "*"    "*"   " "  " "
19  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    " "    "*"    "*"   " "  " "
20  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    " "    "*"    "*"   " "  " "
21  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    " "    "*"    "*"   " "  " "
22  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  " "    "*"    "*"    "*"   " "  " "
23  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  " "    "*"    "*"    "*"   "*"  " "
24  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  " "    "*"    "*"    "*"   "*"  "*"
25  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    "*"    "*"    "*"   "*"  "*"
26  ( 1 ) "*" "*" "*"  "*"  "*"  "*"  "*"  "*"    "*"    "*"    "*"   "*"  "*"
          RA9.WAR FIP kFIP WAR
1  ( 1 )  " "     " " " "  "*"
2  ( 1 )  " "     " " " "  "*"
3  ( 1 )  " "     " " " "  "*"
4  ( 1 )  " "     " " " "  "*"
5  ( 1 )  " "     " " " "  "*"
6  ( 1 )  " "     " " " "  "*"
7  ( 1 )  " "     " " "*"  "*"
8  ( 1 )  "*"     " " "*"  "*"
9  ( 1 )  " "     " " "*"  "*"
10  ( 1 ) " "     " " " "  "*"
11  ( 1 ) "*"     " " " "  "*"
12  ( 1 ) "*"     " " " "  "*"
13  ( 1 ) "*"     " " " "  "*"
14  ( 1 ) "*"     " " " "  "*"
15  ( 1 ) "*"     " " " "  "*"
16  ( 1 ) "*"     " " " "  "*"
17  ( 1 ) "*"     " " " "  "*"
18  ( 1 ) "*"     " " " "  "*"
19  ( 1 ) "*"     " " " "  "*"
20  ( 1 ) "*"     " " " "  "*"
21  ( 1 ) "*"     " " "*"  "*"
22  ( 1 ) "*"     "*" "*"  "*"
23  ( 1 ) "*"     "*" "*"  "*"
24  ( 1 ) "*"     "*" "*"  "*"
25  ( 1 ) "*"     "*" "*"  "*"
26  ( 1 ) "*"     "*" "*"  "*"

with(summary(fit), round(cbind(which,rss,rsq,adjr2,cp,bic),3))

A matrix: 26 × 32 of type dbl

	(Intercept)	팀명KT	팀명LG	팀명NC	팀명SK	팀명두산	팀명롯데	팀명삼성	팀명한화	승	⋯	ERA	RA9.WAR	FIP	kFIP	WAR	rss	rsq	adjr2	cp	bic
1	1	0	0	0	0	0	0	0	0	0	⋯	0	0	0	0	1	54021608997	0.626	0.624	21.711	-139.564
2	1	0	0	0	0	0	0	0	0	0	⋯	0	0	0	0	1	50978643633	0.647	0.643	14.151	-143.353
3	1	0	0	0	0	0	0	0	1	0	⋯	0	0	0	0	1	48968810756	0.661	0.654	9.837	-144.443
4	1	0	0	0	0	0	0	0	1	1	⋯	0	0	0	0	1	47054642635	0.674	0.666	5.824	-145.480
5	1	0	0	0	0	0	0	0	1	1	⋯	0	0	0	0	1	45225361341	0.687	0.676	2.077	-146.483
6	1	0	0	0	0	0	0	0	1	1	⋯	0	0	0	0	1	44352191072	0.693	0.680	1.334	-144.422
7	1	0	0	0	0	0	0	0	1	1	⋯	0	0	0	1	1	43873959120	0.696	0.682	1.832	-141.046
8	1	0	0	1	0	0	0	0	1	1	⋯	0	1	0	1	1	43490253876	0.699	0.682	2.626	-137.358
9	1	0	0	0	0	0	0	1	1	1	⋯	0	0	0	1	1	43014193386	0.702	0.684	3.131	-134.007
10	1	0	0	0	0	0	0	1	1	1	⋯	0	0	0	0	1	42429881012	0.706	0.686	3.295	-131.062
11	1	0	0	0	0	0	0	1	1	1	⋯	0	1	0	0	1	41942014969	0.710	0.687	3.762	-127.796
12	1	0	0	0	0	1	0	1	1	1	⋯	0	1	0	0	1	41744791367	0.711	0.686	5.143	-123.488
13	1	0	0	0	0	0	0	1	1	1	⋯	0	1	0	0	1	41540927294	0.713	0.686	6.502	-119.209
14	1	0	0	1	0	1	0	0	1	1	⋯	0	1	0	0	1	41256884117	0.715	0.685	7.610	-115.228
15	1	0	0	1	1	1	0	0	1	1	⋯	0	1	0	0	1	41044826480	0.716	0.685	8.944	-110.987
16	1	1	0	1	1	1	0	0	1	1	⋯	0	1	0	0	1	40671498634	0.719	0.685	9.771	-107.352
17	1	1	0	1	1	1	0	0	1	1	⋯	0	1	0	0	1	40455404484	0.720	0.685	11.092	-103.138
18	1	1	0	1	1	1	0	0	1	1	⋯	0	1	0	0	1	40307821620	0.721	0.683	12.628	-98.669
19	1	1	0	1	1	1	1	0	1	1	⋯	0	1	0	0	1	40204649863	0.722	0.682	14.304	-94.035
20	1	1	1	1	1	1	1	0	1	1	⋯	0	1	0	0	1	40105370572	0.723	0.680	15.992	-89.387
21	1	1	1	1	1	1	1	0	1	1	⋯	0	1	0	1	1	39985916879	0.723	0.679	17.617	-84.817
22	1	1	1	1	1	1	1	0	1	1	⋯	0	1	1	1	1	39886900175	0.724	0.677	19.306	-80.170
23	1	1	1	1	1	1	1	0	1	1	⋯	0	1	1	1	1	39818646734	0.725	0.675	21.092	-75.406
24	1	1	1	1	1	1	1	0	1	1	⋯	1	1	1	1	1	39807215204	0.725	0.673	23.056	-70.426
25	1	1	1	1	1	1	1	0	1	1	⋯	1	1	1	1	1	39796108554	0.725	0.670	25.021	-65.444
26	1	1	1	1	1	1	1	1	1	1	⋯	1	1	1	1	1	39789454039	0.725	0.667	27.000	-60.446

feedback

• WAR이 설명변수의 곱으로 이루어진 변수라 WAR이 들어가면 다른 설명변수를 빼는게 좋다.

• y로 잡은 연봉과 설명변수의 상관관계보다 WAR이 상관관계가 더 높다? WAR을 y로 잡고 연봉이 WAR에 영향을 주는지 확인해 보는게 더 좋았을듯.

• 2017년 연봉과 2018년 연봉을 비교해 보는 것도 좋았을 거 같다.

• 팀명은 범주형 변수로 굳이 어울리진 않는듯! 생각해보니 팀마다 잘하는 투수도 있고 그럭저럭한 선수들도 있을테니..

• 이상치 영향점 레버리지 포인트에 해당되는 변수를 제외하고 돌려보자~