Use stepwise regression to build a model for the NBA Combine data in Table B.23. Perform a residual analysis on the final model. Compare this model to the all possible regressions model from Problem 10.38.

Data From Problem 10.38

Table B. 23 contains data from the NBA Combine. Use all possible regressions to build a model for these data. Perform a residual analysis on the final model and comment on model adequacy.

Time Run Player Per Ben Bentil -1755 11.16 3.1 3.3 PJ Dozier -4.82 10.84 2.98 Michael -2.08 11 3.19 Gbinije Diamond -1.15 12.02 3.22 Stone Tyler Lydon 0 11.68 Georges 0.12 11.64 2.81 3.17 Niang Kadeem 2.61 11.24 2.98 Allen Semi 4.57 10.58 3.07 Ojeleye Jake 4.76 11.35 2.82 3.24 Layman Davon Reed 4.78 11.37 3.21 3.34 Damian 5.32 11.35 3.12 3.2 Jones Dwayne 5.84 11.7 3.22 3.22 Bacon Nigel Hayes 6.44 11.81 2.94 3.27 Kyle Wiltjer 6.78 11.35 3.04 3.48 Isaiah Hicks 6.88 12.31 3.31 3.36 Jamel Artis 6.96 11.62 3.08 3.44 Jawun Evans 7.23 11.34 3.26 3.21 Denzel 7.32 10.51 3.22 3.46 Valentine Stephen 7.32 12.08 3.16. Zimmerman Terrance 7.43 11.16 3.22 3.32 Ferguson Ron Baker 7.51 10.77 2.96 3.45 Isaiah 7.59 11.65 3.21 Whitehead Dorian 7.68 11.01 3.04 3.34 3.27 Finney- Smith Kobi 7.73 11.15 2.98 3.18 Simmons Wesley 7.83 11.25 3.23 3.36 Iwundu Sindarius 8.22 11.48 3.03 3.36 Thornwell Patrick 8.6 11.01 2.97 3.3 McCaw Tony 9.51 11.79 2.99 3.44 Bradley Malachi 9.65 10.56 3.25 3.33 Richardson Taurean 9.88 10.96 2.8 3.24 Prince Dillon 9.89 11.14 3.24 3.21 Brooks Thomas 9.89 11.42 3.12 3.37 Bryant Tyler Dorsey 10.05 10.55 2.98 3.16 Devin 10.54 12.85 3.61 3.23 Robinson Kay Felder 11.41 11.52 2.9 3.15 Pascal 11.52 11.25 3.09 3.41 Siakam Damyean 11.64 11.18 3.03 3.13 Dotson Josh Hart 12.25 11.15 3.02 3.18 Chinanu 12.3 11.65 3 3.5 Onuaku Marquese 12.38 11.93 3.05 3.26 Chriss Tyler Ulis 13.05 10.8 2.88 Jarrod 14.06 11.52 3.03 Uthoff Thon Maker 14.08 11.15 3.09 3.33 Kyle Kuzma 14.22 10.72 2.98 3.25 Malcolm 14.9 10.77 2.64 3.31 Brogdon Derrick 15.89 10.84 2.92 3.08 White Ivan Rabb 16.64 12.68 3.23 3.35 Donovan 16.74 11.53 3.07 3.01 Mitchell Cheick 16.89 11.24 3.3 3.26 Diallo Brice 1728 11.88 2.94 3.2 Johnson Jarrett Allen 1756 11.82 3 3.21 Jordan Bell 18 10.63 2.83 3.21 John Collins 18.33 11.66 3.27 3.27 Joel 19.75 10.26 2.86 3.17 Bolomboy Justin Patton 19.88 11.8 3.31 3.46 Ike 21.58 12.52 3.48 3.44 Anigbogu Monte 27.14 11 3.2 3.19 Morris Demetrius 30.87 10.81 2.87 3.25 Lane Agility Shuttle Three Standing Quarter Vertical Sprint Vertical (Seconds) (Seconds) (Seconds) (Inches) (Inches) Position 3.15 3.12 3.46 3.49 3.15 3.16 22 1 h F R RRZ cu PF SG SG C PF PF PG SF-SG # SF SG-SF C SG-SF PF PF PF SG-SF PG SG-SF SG-SF SG PG-SG SF 30.5 38.5 PG 31.5 36 SG-SF 27 30.5 SG-SF 30 38 PG-SG 24.5 27.5 C 0 33 38 SG-SF 34 36 SF 31 37.5 SG-SF 25.5 33 PF-C 30.5 36 SG 35.5 41.5 SF 35.5 30.5 44 36.5 PG PF 31.5 38 27.5 35.5 27.5 33.5 C 32.5 38.5 PF 32.5 38 29 34.5 PF 32 27 34 30.5 36.5 PF SF-SG 35.5 SG 31 36.5 PG 28.5 36.5 32.5 PF 40.5 31 35 33.5 38 31.5 35.5 31.5 33 38 37.5 PF PF 37.5 26 40.5 PF 30.5 C 3 3 E E E E E E QEEE SG-SF SG-SF PG SG 29.5 32.5 28 33.5 PG 375 43.5 PG Jackson