Consider the NFL data in Exercise 12-21.
(a) Test for significance of regression using α = 0.05. What is the P-value for this test?
(b) Conduct the t-test for each regression coefficient. Using α = 0.05, what conclusions can you draw about the variables in this model?
(c) Find the amount by which the regressor x2 (TD percentage) increases the regression sum of squares, and conduct an F-test for H0: β2 = 0 versus H1: β2 ‰  0 using α = 0.05. What is the P-value for this test? What conclusions can you draw?

Exercise 12-21

Table E12-11 presents quarterback ratings for the 2008 National Football League season (The Sports Network).

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Yds per Pet Rating Pet Pet Player Philip Team Att Comp Comp Yds Att TD TD Lng Int Int Pts Rivers SD 478 312 65.3 4,009 8.39 34 7.1 67 11 2.3 105.5 Chad 97.4 Pennington MIA 476 321 67.4 3,653 7.67 19 4.0 80 1.5 ARI 67.1 96.9 Kurt Warner 598 401 4,583 7.66 30 5.0 79 14 2.3 Drew Brees NO 635 413 65 5,069 7.98 34 5.4 84 17 2.7 96.2 555 IND 4,002 7.21 2.2 Peyton Manning 371 66.8 27 4.9 75 12 95 Rodgers Aaron GB 536 341 63.6 4,038 7.53 28 5.2 71 13 2.4 93.8 HOU 15 Matt Schaub 380 251 66.1 3,043 8.01 3.9 65 10 2.6 92.7 276 DAL 450 61.3 3.1 Tony Romo 3,448 7.66 26 5.8 75 14 91.4 тв 2,712 Jeff Garcia 376 244 64.9 7.21 12 3.2 71 6. 1.6 90.2 Matt Cassel NE 516 327 63.4 3,693 7.16 21 4.1 76 11 2.1 89.4 7.93 Matt Ryan ATL 434 265 61.1 3,440 16 3.7 70 11 2.5 87.7 Shaun Hill SF 288 181 62.8 2,046 7.10 13 4.5 48 2.8 87.5 Seneca Wallace SEA 242 141 58.3 1,532 6.33 11 4.5 90 1.2 87 Eli Manning NYG 479 289 60.3 3,238 6.76 21 4.4 48 10 2.1 86.4 Donovan MeNabb PHI 571 345 60.4 3,916 6.86 23 4.0 90 11 1.9 86.4 Cutler DEN Jay 616 384 62.3 4,526 7.35 25 4.1 93 18 2.9 86 Edwards Trent BUF 374 245 65.5 2,699 7.22 11 2.9 65 10 2.7 85.4 Jake Delhomme 15 84.7 CAR 414 246 59.4 3,288 7.94 3.6 65 12 2.9 3,245 6.41 84.3 Jason Campbell WAS 506 315 62.3 13 2.6 67 6. 1.2 Garrard JAC 6.77 15 81.7 David 535 335 62.6 3,620 2.8 41 13 2.4 522 65.7 3,472 4.2 Brett Favre NYJ 343 6.65 22 4.2 56 22 81 Flacco Joe BAL 428 257 60 2,971 6.94 14 3.3 70 12 2.8 80.3 Kerry Collins TEN 415 242 58.3 2,676 6.45 12 2.9 56 1.7 80.2 Roethlisberger PIT Ben 469 281 59.9 3,301 7.04 17 3.6 65 15 3.2 80.1 Kyle 465 272 2,972 6.39 Orton CHI 58.5 18 3.9 65 12 2.6 79.6 JaMarcus Russell OAK 2,423 6.58 77.1 368 198 53.8 13 3.5 84 2.2 Tyler Thigpen KC 420 230 54.8 2,608 6.21 18 4.3 75 12 2.9 76 2,157 12 Gus Frerotte MIN 301 178 59.1 7.17 4.0 99 15 5.0 73.7 6.34 Dan Orlovsky DET 255 143 56.1 1,616 3.1 96 3.1 72.6 440 251 2.5 Marc Bulger STL 57 2,720 6.18 11 80 13 3.0 71.4 1,905 Ryan Fitzpatrick CIN 372 221 59.4 5.12 8. 2.2 79 9. 2.4 70 Derek Anderson CLE 283 142 50.2 1,615 5.71 6. 3.2 70 2.8 66.5