Variety of offensive statistics | Mathematics homework help

Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball hispredicted 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 followingdata show the RPG and a variety of offensive statistics for the 2005 Major LeagueBaseball (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 pergame 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-basepercentage; SLG, slugging percentage; and AVG, batting average.Player RPG H 2B 3B HR RBI BB SO SB CS OBP SLG AVGD Jeter 6.51 202 25 5 19 70 77 117 14 5 0.389 0.45 0.309H Matsui 6.32 192 45 3 23 116 63 78 2 2 0.367 0.496 0.305A Rodriguez 9.06 194 29 1 48 130 91 139 21 6 0.421 0.61 0.321G Sheffield 6.93 170 27 0 34 123 78 76 10 2 0.379 0.512 0.291R Cano 5.01 155 34 4 14 62 16 68 1 3 0.32 0.458 0.297B Williams 4.14 121 19 1 12 64 53 75 1 2 0.321 0.367 0.249J Posada 5.36 124 23 0 19 71 66 94 1 0 0.352 0.43 0.262J Giambi 9.11 113 14 0 32 87 108 109 0 0 0.44 0.535 0.271T Womack 2.91 82 8 1 0 15 12 49 27 5 0.276 0.28 0.249T Martinez 5.08 73 9 0 17 49 38 54 2 0 0.328 0.439 0.241M Bellhorn 4.07 63 20 0 8 30 52 112 3 0 0.324 0.357 0.21R Sierra 3.27 39 12 0 4 29 9 41 0 0 0.265 0.371 0.229J Flaherty 1.83 21 5 0 2 11 6 26 0 0 0.206 0.252 0.165B Crosby 3.48 27 0 1 1 6 4 14 4 1 0.304 0.327 0.276M Lawton 5.15 6 0 0 2 4 7 8 1 0 0.263 0.25 0.125R Sanchez 3.36 12 1 0 0 2 2 3 0 1 0.326 0.302 0.279A Phillips 2.13 6 4 0 1 4 1 13 0 0 0.171 0.325 0.15M Cabrera 1.19 4 0 0 0 0 0 2 0 0 0.211 0.211 0.211R Johnson 3.44 4 2 0 0 0 1 4 0 0 0.3 0.333 0.222F Escalona 5.31 4 1 0 0 2 1 4 0 0 0.375 0.357 0.286Let 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 equationfor estimating a player’s RPG.

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