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Player RPG H 2B 3B HR RBI BB SO SB CS OBP SLG AVG D Jeter 6.51 202 25 5 19 70 77 117 14

Player RPG H 2B 3B HR RBI BB SO SB CS OBP SLG AVG
D Jeter 6.51 202 25 5 19 70 77 117 14 5 0.389 0.450 0.309
H Matsui 6.32 192 45 3 23 116 63 78 2 2 0.367 0.496 0.305
A Rodriguez 9.06 194 29 1 48 130 91 139 21 6 0.421 0.610 0.321
G Sheffield 6.93 170 27 0 34 123 78 76 10 2 0.379 0.512 0.291
R Cano 5.01 155 34 4 14 62 16 68 1 3 0.320 0.458 0.297
B Williams 4.14 121 19 1 12 64 53 75 1 2 0.321 0.367 0.249
J Posada 5.36 124 23 0 19 71 66 94 1 0 0.352 0.430 0.262
J Giambi 9.11 113 14 0 32 87 108 109 0 0 0.440 0.535 0.271
T Womack 2.91 82 8 1 0 15 12 49 27 5 0.276 0.280 0.249
T Martinez 5.08 73 9 0 17 49 38 54 2 0 0.328 0.439 0.241
M Bellhorn 4.07 63 20 0 8 30 52 112 3 0 0.324 0.357 0.210
R Sierra 3.27 39 12 0 4 29 9 41 0 0 0.265 0.371 0.229
J Flaherty 1.83 21 5 0 2 11 6 26 0 0 0.206 0.252 0.165
B Crosby 3.48 27 0 1 1 6 4 14 4 1 0.304 0.327 0.276
M Lawton 5.15 6 0 0 2 4 7 8 1 0 0.263 0.250 0.125
R Sanchez 3.36 12 1 0 0 2 2 3 0 1 0.326 0.302 0.279
A Phillips 2.13 6 4 0 1 4 1 13 0 0 0.171 0.325 0.150
M Cabrera 1.19 4 0 0 0 0 0 2 0 0 0.211 0.211 0.211
R Johnson 3.44 4 2 0 0 0 1 4 0 0 0.300 0.333 0.222
F Escalona 5.31 4 1 0 0 2 1 4 0 0 0.375 0.357 0.286

The labels on columns are defned as follows:
RPG predicted runs per game statistic
H hits
2B doubles
3B triples
HR home runs
RBI runs batted in
BB bases on balls (walks)
SO strikeouts
SB stolen bases
CS caught stealing
OBP on-base percentage
SLG slugging percentage
AVG batting average

Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball his predicted RPG (runs per game) statistic takes into account the entire player's offensive statistics,

and is claimed to be the best measure of a player's true offensive value. The data above show the RPG and a variety of offensive statistics for a Major League Baseball (MLB) season for 20 members of the New York Yankees.

Let the dependent variable be the RPG statistic.

Find the best estimated multiple regression equation using backward elimination procedure.

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