The goal of this exercise is to construct a new statistic for NBA players, based on aspects of basketball that are not d

[answerhappygod]

The goal of this exercise is to construct a new statistic for
NBA players, based on aspects of basketball that are not directly
related to scoring, but which are important for winning games.
Dataset 7.11 contains data on three NBA seasons, 2015-16 to
2017-18. For each team, in each season, several performance
variables are recorded, along with the team’s average points scored
per game minus its average points allowed per game (the variable
DIFF). The performance variables are ORB, offensive rebounds, DRB,
defensive rebounds, STL, steals, BLK, blocks, and TOV, turnovers;
each of these is measured on a per-game basis for the team.
A. Find the linear function of ORB, DRB, STL, BLK, and TOV that
has maximum correlation with DIFF. Note that, because each NBA team
plays the same number of games, this linear function also maximizes
the correlation if all variables are season totals (per game
statistics were used for convenience).
B. Does the linear function make sense as a measure of performance
for an NBA player? For instance, do the coefficients have the
correct sign (positive or negative) and are the relative magnitudes
of the coefficients appropriate?

The Goal Of This Exercise Is To Construct A New Statistic For Nba Players Based On Aspects Of Basketball That Are Not D 1 (20.47 KiB) Viewed 60 times

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BLK 1 Team Year 2 Atlanta Hawks 2016 3 Boston Celtics" 2016 4 Brooklyn Nets 2016 5 Charlotte Hornet: : 2016 6 Chicago Bulls 2016 7 Cleveland Cavalie 2016 8 Dallas Mavericks 2016 9 Denver Nuggets 2016 10 Detroit Pistons 2016 11 Golden State War 2016 12 Houston Rocket: 2016 13 Indiana Pacers ' 2016 14 Los Angeles Clipi 2016 15 Los Angeles Lake 2016 16 Memphis Grizzlie: 2016 17 Miami Heat" " 2016 18 Milwaukee Bucks 2016 19 Minnesota Timbe 2016 20 New Orleans Peli 2016 21 New York Knicks 2016 22 Oklahoma City TP 2016 23 Orlando Magic 2016 24 Philadelphia 76er: 2016 25 Phoenix Suns 2016 26 Portland Trail Bla 2016 27 Sacramento King 2016 28 San Antonio Spur 2016 29 Toronto Raptors 2016 30 Utah Jazz 2016 31 Washington Wizal 2016 32 Atlanta Hawks 2017 33 Boston Celtics' 2017 ORB DRB STL 8.3 33.8 11.6 33.3 10.5 31.9 9 35 11.1 35.2 10.6 33.9 9.2 33.9 11.5 33.1 12.5 33.9 10 36.2 11.3 31.7 10.3 33.9 8.8 33.3 10.7 32.3 11.2 30.5 9.8 34.3 10.5 31.2 10 31.5 9.5 33.1 10.4 34 13.1 35.6 10.3 33 9.5 31.8 11.5 33.3 11.6 33.9 10.6 33.7 9.4 34.5 10.2 33.2 10.7 32.5 9.1 32.8 10.3 34.1 9.1 32.9 9.1 9.2 7.6 7.3 6 6.7 6.8 7.4 7 8.4 10 9 8.6 7.2 8.8 6.7 8.2 8 7.7 5.7 7.4 8.2 8.3 7.7 6.9 8.9 8.3 7.8 7.7 8.6 8.2 7.5 5.9 4.2 4 5.3 5.7 3.9 3.7 4.8 3.7 6.1 5.2 4.8 5.6 4.1 4.3 6.5 5.8 4.6 4.2 5.7 5.9 5.1 6 3.8 4.6 4.5 5.9 5.5 5.2 3.9 4.8 4.1 TOV 15 13.7 14.8 12.6 13.9 13.6 12.8 14.7 13.5 15.2 15.9 14.9 13 13.7 13.3 14.1 15.2 15 13.4 13.4 15.9 14.1 16.4 17.2 14.6 16.2 13.1 13.1 14.9 14.5 15.8 13.3 DIFF 3.6 3.2 -7.4 2.7 -1.5 6 -0.3 -3.1 0.6 10.8 0.1 1.7 4.3 -9.6 -2.2 1.6 -4.2 -3.6 -3.8 -2.7 7.3 -1.6 -10.2 -6.6 0.8 -2.5 10.6 N 4.5 1.8 -0.5 -0.8 2.6
35.1 34.8 34.1 34.4 30.7 34.6 34.6 35 33.5 33 34 32.1 32 33 34 Brooklyn Nets 35 Charlotte Hornet: 36 Chicago Bulls' 37 Cleveland Cavalie 38 Dallas Mavericks 39 Denver Nuggets 40 Detroit Pistons 41 Golden State War 42 Houston Rocket: 43 Indiana Pacers' 44 Los Angeles Clip 45 Los Angeles Lake 46 Memphis Grizzlie: 47 Miami Heat 48 Milwaukee Bucks 49 Minnesota Timbe 50 New Orleans Peli 51 New York Knicks 52 Oklahoma City TH 53 Orlando Magic 54 Philadelphia 76er: 55 Phoenix Suns 56 Portland Trail Bla 57 Sacramento King 58 San Antonio Spur 59 Toronto Raptors 60 Utah Jazz" 61 Washington Wizal 62 Atlanta Hawks 63 Boston Celtics 64 Brooklyn Nets 65 Charlotte Hornet: 66 Chicago Bulls 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2017 2018 2018 2018 2018 2018 8.8 12.2 9.3 7.9 11.8 11.1 9.4 10.9 9 9 11.4 10.8 10.6 8.8 11.4 8.6 12 12.2 9.8 9.8 11.9 10.1 8.7 10 10.6 9.4 10.3 9.1 9.4 9.7 10.1 9.6 31.6 31 35.1 33.2 34.4 33.3 33 33.1 33.5 32.3 33.9 32.6 33.8 32.6 32.8 35.1 34.8 35.4 35 7.2 7 7.8 6.6 7.5 6.9 7 9.6 8.2 8.2 7.5 8.2 8 7.2 8.1 8 7.8 7.1 7.9 7.1 8.4 8.2 7 7.6 8 8.3 6.7 8.5 7.8 7.4 6.2 6.8 7.6 4.7 4.8 4.8 4 3.7 3.9 3.8 6.8 4.3 5 4.2 3.9 4.2 5.7 5.3 4.5 5.5 5.5 5 4.8 5.1 4.9 5 4 5.9 4.9 5 4.1 4.2 4.5 4.8 4.5 3.5 16.5 11.5 13.6 13.7 11.9 15 11.9 14.8 15.1 13.8 13 15.2 12.9 13.4 14 14 12.9 13.9 15 13.3 16.7 15.4 13.7 14.6 13.4 12.7 13.6 14.2 15.6 14 15.2 12.7 14 -6.7 0.2 0.5 3.1 -2.9 0.5 -1.2 11.6 5.7 -0.2 4.3 -6.9 0.5 1.1 -0.2 -1.1 -2.1 -3.7 0.8 -6.5 -5.7 -5.6 -0.6 -3.9 7.2 4.3 3.9 1.8 -5.4 3.6 -3.7 0.2 -7.1 te o Woo 00 000 11
3.8 3.8 4.9 3.9 7.5 4.8 4.1 67 Cleveland Cavalie 68 Dallas Mavericks 69 Denver Nuggets 70 Detroit Pistons 71 Golden State War 72 Houston Rocket: 73 Indiana Pacers' 74 Los Angeles Clip 75 Los Angeles Lake 76 Memphis Grizzlie: 77 Miami Heat" 78 Milwaukee Bucks 79 Minnesota Timbe 80 New Orleans Peli 81 New York Knicks 82 Oklahoma City TH 83 Orlando Magic 84 Philadelphia 76er: 85 Phoenix Suns 86 Portland Trail Bla 87 Sacramento King 88 San Antonio Spur 89 Toronto Raptors 30 Utah Jazz 31 Washington Wizal 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 2018 8.5 8.1 11 10.1 8.4 9 9.6 10.1 10.7 9.5 9.3 8.4 10.3 8.7 10.5 12.5 8.8 10.9 10.3 10.2 9.5 10.4 9.8 9 10 33.7 33.1 33.5 33.6 35.1 34.5 32.7 33.7 35.7 31 34.2 31.5 31.6 35.7 33.6 32.6 32.8 36.5 33.9 35.3 31.4 33.9 34.2 34.2 33.1 7.1 7 7 7.6 7.7 8 8.5 8.8 7.7 7.7 7.5 7.6 8.8 8.4 8 6.7 9.1 7.6 8.3 6.9 7 7.8 7.7 7.6 8.6 7.9 4.5 4.7 4.8 5.3 5.4 4.2 5.9 5.1 5 4.9 5.1 4.5 5.2 4.1 5.6 6.1 5.1 4.3 13.7 12.3 15 13.5 15.5 13.8 13.3 14.7 15.8 15 14.4 13.8 12.5 14.9 14.7 14 14.5 16.5 15.7 13.5 13.7 13.1 13.4 14.7 14.6 1 -3.1 1.5 -0.1 6 8.5 1.4 0 -1.5 -6.2 0.5 -0.3 2.2 1.3 -3.5 3.5 -4.8 4.5 -9.4 2.6 - 7 2.9 7.8 4.3 0.6