Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball his predicted RPG (runs/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 following data show the RPG and a variety of offensive statistics for the 2005 Major League Baseball (MLB) season for 20 members of the New York Yankees (USA Today website, March 3, 2006). The labels on columns are defined 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; and AVG, batting average.

Let the dependent variable be the RPG statistic.
a. Develop the best one-variable estimated regression equation.
b. Use the methods in this section to develop the best estimated multiple regression equation for estimating a player€™s RPG.

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RPG H 2B 3B HR RBI BB SO SB CS OBP SLG AVG 6.51 202 25 5 19 70 77 117 14 5 0.389 0.45 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 48 130 9 1392 6 0.42 0.61 0.321 G Sheffield 6.93 170 27 0 34 123 78 76 10 2 0379 0.512 0.291 5.01 155 34 4 14 62 16 68 130.32 0.458 0.297 B Williams 4.14 121 19 I 12 64 53 75 2 0.321 0.367 0.249 J Posada 5.36 124 23 0 19 71 66 94 0 0.352 0.43 0.262 J Giambi 9.11 113 14 0 32 87 108 109 0 0 044 0.535 0.271 T Womack 2.91 8281 0 15 12 49 27 5 0.276 0.28 0.249 T Martinez 5.08 73 9 0 7 49 38 54 2 0 0328 0439 0.241 M Bellhorn 4.07 63 20 0 8 30 52 112 3 0 0.324 0.357 0.21 3.27 39 12 0 4 29 9 4 0 00.265 0.371 0.229 J Flaherty 183 21 5 0 2 6 26 0 0 0.206 0.252 0.165 B Crosby 348 27 0 6 14 4 1 0.304 0.327 0.276 R Sanchez 336 12 1 0 02 2 3 0 1 0.326 0.302 0.279 A Phillips 213 6 4 0 13 0 0 0.171 0.325 0.15 M Cabrera 1.19 00 00 020 0 0.211 0.211 0.211 R Johnson 344 4 2 0 0 04 0 00.3 0.333 0.222 F Escalona 531 4 10 02 4 0 0 0.375 0.357 0.286