Table E12-12 presents statistics for the National Hockey League teams from the 2008€“2009 season (The Sports Network). Fit a multiple linear regression model that relates wins to the variables GF through FG Because teams play 82 game, W = 82 ˆ’ L ˆ’ T ˆ’OTL, but such a model does not help build a better team. Estimate σ²and find the standard errors of the regression coefficients for your model.

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W L OTL PTS GF GA ADV PPGF PCTG PEN BMI AVG SHT PPGA PKPCT SHGF SHGA FG Team Anaheim 42 33 91 238 235 309 73 23.6 1418 8 17.4 385 78 79.7 6. 43 Atlanta 35 41 76 250 279 357 69 19.3 1244 12 15.3 366 88 76 13 39 116 270 190 313 Boston 53 19 10 74 23.6 1016 12 12.5 306 54 82.4 47 Buffalo 41 32 9. 91 242 229 358 75 21 1105 16 13.7 336 61 81.8 4 44 Carolina 45 30 97 236 221 374 70 18.7 786 16 9.8 301 59 80.4 8. 39 12.7 1207 20 Columbus 41 31 10 92 220 223 322 41 15 346 62 82.1 8. 41 Calgary 46 30 98 251 246 358 61 17 1281 18 15.8 349 58 83.4 6. 13 37 Chicago 46 24 12 104 260 209 363 70 19.3 1129 28 14.1 330 64 80.6 10 5 43 Colorado 32 45 5 69 190 253 318 50 15.7 1044 18 13 318 64 79.9 31 Dallas 36 35 11 83 224 251 351 54 15.4 1134 10 14 327 78.6 2 2 38 Detroit 51 21 10 112 289 240 353 90 25.5 810 14 10 327 71 78.3 6. 4. 46 Edmonton 38 35 85 228 244 354 60 17 1227 20 15.2 338 76 77.5 3 39 884 11 311 Florida 41 30 11 93 231 223 308 51 16.6 16 54 82.6 39 Los Angeles 34 37 11 79 202 226 360 69 19.2 1191 16 14.7 362 62 82.9 39 Minnesota 40 33 89 214 197 328 66 20.1 869 20 10.8 291 36 87.6 6. 39 93 242 240 374 15 370 82.4 Montreal 41 30 11 72 19.2 1223 6 65 10 10 38 106 238 207 307 New Jersey 51 27 58 18.9 1038 20 12.9 324 65 79.9 12 3 44 40 34 15.7 982 Nashville 88 207 228 318 50 12 12.1 338 59 82.5 41 NY Islanders 26 47 9. 61 198 274 320 54 16.9 1198 18 14.8 361 73 79.8 12 5 37 NY Rangers 43 30 95 200 212 346 48 13.9 1175 24 14.6 329 40 87.8 13 42 Ottawa 36 35 11 83 213 231 339 66 19.5 1084 14 13.4 346 64 81.5 8. 46 Philadelphia 44 27 11 99 260 232 316 71 22.5 1408 26 17.5 393 67 83 16 1 43 36 39 Phoenix 79 205 249 344 50 14.5 1074 18 13.3 293 68 76.8 5 36 Pittsburgh 99 258 233 360 17.2 1106 45 28 62 8. 13.6 347 60 82.7 11 46 117 251 199 360 12.8 306 San Jose 53 18 11 87 24.2 1037 16 51 83.3 12 10 46 St. Louis 41 31 10 92 227 227 351 72 20.5 1226 22 15.2 357 58 83.8 10 35 17.8 1280 26 Tampa Bay 24 40 18 66 207 269 343 61 15.9 405 89 78 8. 34 6. Toronto 34 35 13 81 244 286 330 62 18.8 1113 12 13.7 308 78 74.7 40 Vancouver 45 27 10 100 243 213 357 67 18.8 1323 28 16.5 371 69 81.4 5 47 Washington 50 24 8. 108 268 240 337 85 25.2 1021 20 12.7 387 75 80.6 45 Wins Losses during regular time OTL Total penalty minutes including bench minutes Total bench minor minutes Average penalty minutes per game PEN BMI Overtime losses Points. Two points for winning a game, one point for a tie or losing in overtime, zero points for losing in regular time. Goals for Goals against Total advantages. Power-play opportunities. Power-play goals for. Goals scored while on power play. AVG Total times short-handed. Measures opponent opportunities. PTS SHT PPGA Power-play goals against PKPCT Penalty killing percentage. Measures a team's ability to prevent GF GA ADV PPGF goals while its opponent is on a power play. Opponent opportuni- ties minus power-play goals divided by opponent's opportunities. SHGF Short-handed goals for PCTG advantages. Power-play percentage. Power-play goals divided by total SHGA Short-handed goals against Games scored first FG