batters homework_ quantitative analysis
TRANSCRIPT
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7/23/2019 Batters Homework_ Quantitative Analysis
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Player TEAM 2008 salary 2009 salary
1 J Reyes* NYM 4,375,000 6,125,000 1.40
2I S!"#* SEA 17,102,149 18,000,000 1.05
3$ %a&rera* %'S 10,000,000 4,000,000 0.40
4( Pe)r#a* +$S 457,000 1,750,000 3.83
5M Y-* TE 6,174,974 13,054,526 2.116 J /e!* SEA 1,750,000 2,250,000 1.29
7R I&ae!* SEA 5,500,000 7,166,666 1.30
8 A R#s* T$R 4,835,000 6,400,000 1.32
9 S#!ere* %/E 3,166,666 4,766,666 1.51
10M Tea)a* $ 14,811,414 14,811,414 1.00
11 J %a* /A 500,000 3,500,000 7.00
12A Iara* T+ 2,400,000 3,250,000 1.35
13( 'r#-* NYM 5,250,000 7,750,000 1.48
14 % Y-* ARI 406,000 1,950,000 4.80
15 J a#l* TE 396,830 555,000 1.4016: :!a;* S( 410,000 432,400 1.05
17 ( /ee* %% 13,250,000 13,250,000 1.00
18J Mrea* MIN 8,400,000 11,600,000 1.38
19M %a&rera* (ET 11,300,000 14,383,049 1.27
20A !ale!* S( 875,000 3,125,000 3.57
21 % ar* MI/ 444,000 3,250,000 7.32
22 A"#s* %$/ 4,387,500 7,050,000 1.61
23 R +ra* MI/ 455,000 1,032,500 2.27
24 S (re* ARI 1,500,000 1,500,000 1.00
25+ R&ers* +A/ 6,300,000 8,000,000 1.27
26R ar)* PI 10,000,000 15,000,000 1.50
27+ A&re* NYY 16,000,000 5,000,000 0.31
28% ley* PI 7,785,714 11,285,714 1.45
29% +elra* NYM 18,622,809 19,243,682 1.03
30 M :e* /A( 406,000 467,000 1.15
31 J Perala* %/E 2,500,000 3,650,000 1.46
32J ra
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44 Ra#re!* /A 439,000 5,500,000 12.53
45P #el)er* MI/ 670,000 7,000,000 10.45
46P Pla
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A=era-e R+I R S+ P$S
0 0.297 68 16 56 SS
0 0.310 42 6 43 $
0 0.281 57 8 19 SS
1 0.326 83 17 20 2+
0 0.284 82 12 10 SS0 0.297 89 17 6 2+
0 0.293 110 23 2 $
0 0.291 79 15 32 $
0 0.268 90 33 38 $
0 0.283 66 13 7 SS
1 0.277 95 29 6 3+
0 0.274 48 6 8 2+
0 0.302 124 33 15 3+
1 0.248 85 22 14 $
1 0.304 130 32 9 $1 0.260 84 23 0 3+
0 0.291 90 20 8 1+
0 0.300 129 23 0 1+
0 0.292 127 37 1 1+
1 0.279 119 36 0 1+
1 0.268 91 20 23 $
0 0.286 99 21 1 3+
1 0.285 106 37 14 $
0 0.291 67 21 3 SS
0 0.296 57 9 40 2+
0 0.251 146 48 1 1+
0 0.296 100 20 22 $
0 0.292 104 33 14 2+
0 0.284 112 27 25 $
1 0.290 76 18 35 $
0 0.276 89 23 3 SS
1 0.239 71 11 0 $
0 0.271 115 38 1 1+
0 0.264 97 20 2 $
0 0.304 108 32 4 (
0 0.306 64 10 25 $
0 0.271 72 14 2 2+
1 0.276 94 26 23 $
0 0.300 69 11 11 SS
1 0.289 90 13 7 1+
1 0.306 87 20 10 $
1 0.269 83 25 11 $
0 0.292 96 34 3 $
R"#e
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1 0.301 67 33 35 SS
1 0.276 102 34 3 1+
0 0.307 58 8 7 2+
1 0.307 38 1 22 SS
0 0.316 55 9 6 SS
1 0.258 59 7 33 $
0 0.290 69 10 14 $
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A+ R 2+ 3+ R R+I
159 688 113 204 37 19 16 68
162 686 103 213 20 7 6 42
161 661 93 186 33 1 8 57
157 653 118 213 54 2 17 83
155 645 102 183 36 2 12 82159 644 80 191 41 1 17 89
162 635 85 186 43 3 23 110
155 635 91 185 47 8 15 79
157 634 101 170 39 5 33 90
158 632 92 179 38 3 13 66
155 628 92 174 41 0 29 95
152 627 91 172 30 9 6 48
160 626 115 189 42 2 33 124
160 625 85 155 42 7 22 85
156 624 98 190 35 5 32 130154 624 71 162 31 4 23 84
155 623 93 181 41 3 20 90
163 623 97 187 47 4 23 129
160 616 85 180 36 2 37 127
162 616 103 172 32 1 36 119
157 612 76 164 45 6 20 91
155 611 86 175 32 3 21 99
151 611 92 174 39 7 37 106
152 611 91 178 44 11 21 67
155 611 107 181 51 8 9 57
162 610 105 153 26 4 48 146
156 609 100 180 39 4 20 100
159 607 113 177 41 4 33 104
161 606 116 172 40 5 27 112
155 606 93 176 38 5 18 76
154 605 104 167 42 4 23 89
155 599 70 143 33 3 11 71
159 598 96 162 32 1 38 115
153 598 66 158 42 1 20 97
154 598 96 182 48 2 32 108
155 598 84 183 38 2 10 64
159 597 70 162 35 3 14 72
152 597 113 165 46 4 26 94
150 596 88 179 25 3 11 69
161 595 66 172 35 6 13 90
157 595 106 182 48 1 20 87
157 595 78 160 34 4 25 83
154 590 96 172 41 2 34 96
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153 589 125 177 34 4 33 67
159 588 86 162 30 2 34 102
141 580 90 178 34 3 8 58
149 580 85 178 19 4 1 38
138 579 77 183 35 5 9 55
153 577 79 149 24 7 7 59
152 575 80 167 28 4 10 69
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T+ ++ S$ S+ %S $+P S/ A>
327 66 82 56 15 0.358 0.475 0.297
265 51 65 43 4 0.361 0.386 0.31
245 56 71 19 6 0.334 0.371 0.281
322 50 52 20 1 0.376 0.493 0.326
259 55 109 10 0 0.339 0.402 0.284285 27 67 6 3 0.322 0.443 0.297
304 64 110 2 4 0.358 0.479 0.293
293 44 112 32 8 0.337 0.461 0.291
318 98 130 38 5 0.374 0.502 0.268
262 24 72 7 7 0.314 0.415 0.283
302 40 111 6 2 0.327 0.481 0.277
238 70 131 8 6 0.349 0.38 0.274
334 94 118 15 5 0.39 0.534 0.302
277 62 165 14 5 0.315 0.443 0.248
331 64 126 9 1 0.371 0.53 0.304270 23 139 0 0 0.299 0.433 0.26
288 71 119 8 2 0.361 0.462 0.291
311 76 85 0 1 0.374 0.499 0.3
331 56 126 1 0 0.349 0.537 0.292
314 74 142 0 0 0.361 0.51 0.279
281 27 109 23 7 0.3 0.459 0.268
276 40 100 1 1 0.328 0.452 0.286
338 42 129 14 4 0.335 0.553 0.285
307 41 109 3 3 0.333 0.502 0.291
275 82 104 40 10 0.378 0.45 0.296
331 81 199 1 1 0.339 0.543 0.251
287 73 109 22 11 0.371 0.471 0.296
325 64 104 14 2 0.38 0.535 0.292
303 92 96 25 3 0.376 0.5 0.284
278 46 153 35 11 0.34 0.459 0.29
286 48 126 3 1 0.331 0.473 0.276
215 39 111 0 1 0.294 0.359 0.239
310 72 124 1 1 0.353 0.518 0.271
262 23 106 2 1 0.3 0.438 0.264
330 53 89 4 0 0.36 0.552 0.304
255 59 88 25 2 0.363 0.426 0.306
245 26 65 2 4 0.305 0.41 0.271
297 65 93 23 3 0.356 0.497 0.276
243 52 85 11 5 0.363 0.408 0.3
258 45 85 7 4 0.338 0.434 0.289
292 99 113 10 7 0.406 0.491 0.306
277 40 124 11 10 0.318 0.466 0.269
319 44 104 3 2 0.344 0.541 0.292
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318 92 122 35 12 0.4 0.54 0.301
298 84 134 3 2 0.372 0.507 0.276
242 35 43 7 1 0.35 0.417 0.307
208 73 58 22 13 0.387 0.359 0.307
255 23 57 6 5 0.345 0.44 0.316
208 25 142 33 11 0.296 0.36 0.258
233 35 105 14 5 0.336 0.405 0.29
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SMMARY $TPT
Regression Statistics
Ml#le R 0.66167
R S?are 0.43781
A)se) R S?are 0.37392
Sa)ar) Errr 2.08947
$&ser=a#s 50
AN$>A
df SS
Re-ress# 5 149.5969
Res#)al 44 192.0996
Tal 49 341.6965
Coecients Standard Error
Ier
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MS F Signicance F
29.9194 6.8530 0.0001
4.3659
t Stat P-value Lower 95% !!er 95%
0.4474 0.6568 @8.2945 13.0279
4.6111 0.0000 1.6652 4.2510
0.1257 0.9006 @33.5456 38.0080
@2.0661 0.0447 @0.1022 @0.0013
2.5687 0.0137 0.0302 0.2499
@0.3806 0.7053 @0.0607 0.0414
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Lower 95"#% !!er 95"#%
@8.2945 13.0279
1.6652 4.2510
@33.5456 38.0080
@0.1022 @0.0013
0.0302 0.2499
@0.0607 0.0414
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Player TEAM 2008 salary 2009 salary
1 J Reyes* NYM 4,375,000 6,125,000 1.40
2I S!"#* SEA 17,102,149 18,000,000 1.05
3$ %a&rera* %'S 10,000,000 4,000,000 0.40
4( Pe)r#a* +$S 457,000 1,750,000 3.83
5M Y-* TE 6,174,974 13,054,526 2.116 J /e!* SEA 1,750,000 2,250,000 1.29
7R I&ae!* SEA 5,500,000 7,166,666 1.30
8 A R#s* T$R 4,835,000 6,400,000 1.32
9 S#!ere* %/E 3,166,666 4,766,666 1.51
10M Tea)a* $ 14,811,414 14,811,414 1.00
11 J %a* /A 500,000 3,500,000 7.00
12A Iara* T+ 2,400,000 3,250,000 1.35
13( 'r#-* NYM 5,250,000 7,750,000 1.48
14 % Y-* ARI 406,000 1,950,000 4.80
15 J a#l* TE 396,830 555,000 1.4016: :!a;* S( 410,000 432,400 1.05
17 ( /ee* %% 13,250,000 13,250,000 1.00
18J Mrea* MIN 8,400,000 11,600,000 1.38
19M %a&rera* (ET 11,300,000 14,383,049 1.27
20A !ale!* S( 875,000 3,125,000 3.57
21 % ar* MI/ 444,000 3,250,000 7.32
22 A"#s* %$/ 4,387,500 7,050,000 1.61
23 R +ra* MI/ 455,000 1,032,500 2.27
24 S (re* ARI 1,500,000 1,500,000 1.00
25+ R&ers* +A/ 6,300,000 8,000,000 1.27
26R ar)* PI 10,000,000 15,000,000 1.50
27+ A&re* NYY 16,000,000 5,000,000 0.31
28% ley* PI 7,785,714 11,285,714 1.45
29% +elra* NYM 18,622,809 19,243,682 1.03
30 M :e* /A( 406,000 467,000 1.15
31 J Perala* %/E 2,500,000 3,650,000 1.46
32J ra
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44 Ra#re!* /A 439,000 5,500,000 12.53
45P #el)er* MI/ 670,000 7,000,000 10.45
46P Pla
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R+I R P$S A+ R
0 68 16 SS 159 688 113
0 42 6 $ 162 686 103
0 57 8 SS 161 661 93
1 83 17 2+ 157 653 118
0 82 12 SS 155 645 1020 89 17 2+ 159 644 80
0 110 23 $ 162 635 85
0 79 15 $ 155 635 91
0 90 33 $ 157 634 101
0 66 13 SS 158 632 92
1 95 29 3+ 155 628 92
0 48 6 2+ 152 627 91
0 124 33 3+ 160 626 115
1 85 22 $ 160 625 85
1 130 32 $ 156 624 981 84 23 3+ 154 624 71
0 90 20 1+ 155 623 93
0 129 23 1+ 163 623 97
0 127 37 1+ 160 616 85
1 119 36 1+ 162 616 103
1 91 20 $ 157 612 76
0 99 21 3+ 155 611 86
1 106 37 $ 151 611 92
0 67 21 SS 152 611 91
0 57 9 2+ 155 611 107
0 146 48 1+ 162 610 105
0 100 20 $ 156 609 100
0 104 33 2+ 159 607 113
0 112 27 $ 161 606 116
1 76 18 $ 155 606 93
0 89 23 SS 154 605 104
1 71 11 $ 155 599 70
0 115 38 1+ 159 598 96
0 97 20 $ 153 598 66
0 108 32 ( 154 598 96
0 64 10 $ 155 598 84
0 72 14 2+ 159 597 70
1 94 26 $ 152 597 113
0 69 11 SS 150 596 88
1 90 13 1+ 161 595 66
1 87 20 $ 157 595 106
1 83 25 $ 157 595 78
0 96 34 $ 154 590 96
R"#e
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1 67 33 SS 153 589 125
1 102 34 1+ 159 588 86
0 58 8 2+ 141 580 90
1 38 1 SS 149 580 85
0 55 9 SS 138 579 77
1 59 7 $ 153 577 79
0 69 10 $ 152 575 80
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2+ 3+ R R+I T+ ++ S$
204 37 19 16 68 327 66 82
213 20 7 6 42 265 51 65
186 33 1 8 57 245 56 71
213 54 2 17 83 322 50 52
183 36 2 12 82 259 55 109191 41 1 17 89 285 27 67
186 43 3 23 110 304 64 110
185 47 8 15 79 293 44 112
170 39 5 33 90 318 98 130
179 38 3 13 66 262 24 72
174 41 0 29 95 302 40 111
172 30 9 6 48 238 70 131
189 42 2 33 124 334 94 118
155 42 7 22 85 277 62 165
190 35 5 32 130 331 64 126162 31 4 23 84 270 23 139
181 41 3 20 90 288 71 119
187 47 4 23 129 311 76 85
180 36 2 37 127 331 56 126
172 32 1 36 119 314 74 142
164 45 6 20 91 281 27 109
175 32 3 21 99 276 40 100
174 39 7 37 106 338 42 129
178 44 11 21 67 307 41 109
181 51 8 9 57 275 82 104
153 26 4 48 146 331 81 199
180 39 4 20 100 287 73 109
177 41 4 33 104 325 64 104
172 40 5 27 112 303 92 96
176 38 5 18 76 278 46 153
167 42 4 23 89 286 48 126
143 33 3 11 71 215 39 111
162 32 1 38 115 310 72 124
158 42 1 20 97 262 23 106
182 48 2 32 108 330 53 89
183 38 2 10 64 255 59 88
162 35 3 14 72 245 26 65
165 46 4 26 94 297 65 93
179 25 3 11 69 243 52 85
172 35 6 13 90 258 45 85
182 48 1 20 87 292 99 113
160 34 4 25 83 277 40 124
172 41 2 34 96 319 44 104
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177 34 4 33 67 318 92 122
162 30 2 34 102 298 84 134
178 34 3 8 58 242 35 43
178 19 4 1 38 208 73 58
183 35 5 9 55 255 23 57
149 24 7 7 59 208 25 142
167 28 4 10 69 233 35 105
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S+ %S $+P S/ A>
56 15 0.358 0.475 0.297
43 4 0.361 0.386 0.31
19 6 0.334 0.371 0.281
20 1 0.376 0.493 0.326
10 0 0.339 0.402 0.2846 3 0.322 0.443 0.297
2 4 0.358 0.479 0.293
32 8 0.337 0.461 0.291
38 5 0.374 0.502 0.268
7 7 0.314 0.415 0.283
6 2 0.327 0.481 0.277
8 6 0.349 0.38 0.274
15 5 0.39 0.534 0.302
14 5 0.315 0.443 0.248
9 1 0.371 0.53 0.3040 0 0.299 0.433 0.26
8 2 0.361 0.462 0.291
0 1 0.374 0.499 0.3
1 0 0.349 0.537 0.292
0 0 0.361 0.51 0.279
23 7 0.3 0.459 0.268
1 1 0.328 0.452 0.286
14 4 0.335 0.553 0.285
3 3 0.333 0.502 0.291
40 10 0.378 0.45 0.296
1 1 0.339 0.543 0.251
22 11 0.371 0.471 0.296
14 2 0.38 0.535 0.292
25 3 0.376 0.5 0.284
35 11 0.34 0.459 0.29
3 1 0.331 0.473 0.276
0 1 0.294 0.359 0.239
1 1 0.353 0.518 0.271
2 1 0.3 0.438 0.264
4 0 0.36 0.552 0.304
25 2 0.363 0.426 0.306
2 4 0.305 0.41 0.271
23 3 0.356 0.497 0.276
11 5 0.363 0.408 0.3
7 4 0.338 0.434 0.289
10 7 0.406 0.491 0.306
11 10 0.318 0.466 0.269
3 2 0.344 0.541 0.292
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35 12 0.4 0.54 0.301
3 2 0.372 0.507 0.276
7 1 0.35 0.417 0.307
22 13 0.387 0.359 0.307
6 5 0.345 0.44 0.316
33 11 0.296 0.36 0.258
14 5 0.336 0.405 0.29
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SMMARY $TPT
Regression Statistics
Ml#le R 0.6602479822
R S?are 0.435927398
A)se) R S? 0.3991400544
Sa)ar) Errr 2.046957581
$&ser=a#s 50
AN$>A
df SS MS F
Re-ress# 3 148.95485975 49.651619917 11.849928678
Res#)al 46 192.74162556 4.1900353383
Tal 49 341.69648531
Coecients Standard Error t Stat P-value
Ier
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Signicance F
7.111942E@006
Lower 95% !!er 95% Lower 95"#% !!er 95"#%
0.1079677708 5.2071272626 0.1079677708 5.2071272626
1.7005283514 4.1715838989 1.7005283514 4.1715838989
@0.0940221737 @0.0023377009 @0.0940221737 @0.0023377009
0.0308645616 0.2411454933 0.0308645616 0.2411454933