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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