4. Professional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). You want to develop a regression model to predict the number of wins achieved by each NBA team, based on field goal (shots made) percentage and three-point field goal percentage for the team. The data are stored in NBA. a. State the multiple regression equation. b. Interpret the meaning of the slopes in this equation. c. Predict the mean number of wins for a team that has a field goal percentage of 45% and a three-point field goal percentage of 37%.
4. Professional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). You want to develop a regression model to predict the number of wins achieved by each NBA team, based on field goal (shots made) percentage and three-point field goal percentage for the team. The data are stored in NBA. a. State the multiple regression equation. b. Interpret the meaning of the slopes in this equation. c. Predict the mean number of wins for a team that has a field goal percentage of 45% and a three-point field goal percentage of 37%.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Transcribed Image Text:Team Name
Atlanta Hawks
Boston Celtics
Brooklyn Nets
Charlotte Bobcats
Chicago Bulls
Cleveland Cavaliers
Dallas Mavericks
Denver Nuggets
Detroit Pistons
Golden State Warriors
Houston Rockets
Indiana Pacers
Los Angeles Clippers
Los Angeles Lakers
Memphis Grizzlies
Miami Heat
Milwaukee Bucks
Minnesota Timberwolves
New Orleans Pelicans
New York Knicks
Oklahoma City Thunder
Orlando Magic
Philadelphia 76ers
Phoenix Suns
Portland Trail Blazers
Sacramento Kings
San Antonio Spurs
Toronto Raptors
Utah Jazz
Washington Wizards
Team Code Wins Field Goal % Three-Point Field Goal %
ATL
45.8
36.3
BOS
43.5
33.3
BKN
45.5
36.9
CHA
44.2
35.1
CHI
43.2
34.8
CLE
43.7
35.6
DAL
47.4
38.4
DEN
44.7
35.3
DET
44.7
32.1
GSW
46.2
38.0
HOU
47.2
35.8
IND
44.9
35.7
LAC
47.4
35.2
LAL
45.0
38.1
MEM
46.4
35.3
ΜΙΑ
50.1
36.4
MIL
43.8
35.3
MIN
44.4
34.1
NOH
45.9
37.3
NYK
44.9
37.2
ОКС
47.1
36.1
ORL
44.5
35.3
PHI
43.5
31.2
PHX
46.3
37.2
POR
45.0
37.2
SAC
44.7
33.3
SAS
48.6
39.7
TOR
44.5
37.2
UTA
44.4
34.4
WAS
45.9
38.0
38
25
44
43
48
33
49
36
29
51
54
56
57
27
50
54
15
40
34
37
59
23
19
48
54
28
62
48
25
44
Transcribed Image Text:4. Professional basketball has truly become a sport that generates interest among fans
around the world. More and more players come from outside the United States to play
in the National Basketball Association (NBA). You want to develop a regression model
to predict the number of wins achieved by each NBA team, based on field goal (shots
made) percentage and three-point field goal percentage for the team. The data are stored
in NBA.
a. State the multiple regression equation.
b. Interpret the meaning of the slopes in this equation.
c. Predict the mean number of wins for a team that has a field goal percentage of 45%
and a three-point field goal percentage of 37%.
d.
Perform a residual analysis on your results and determine whether the regression
assumptions are valid.
e.
Is there a significant relationship between number of wins and the two independent
variables (field goal percentage and three-point field goal percentage for the team)
at the 0.05 level of significance?
f.
g.
h.
Determine the p-value in (e) and interpret its meaning.
Interpret the meaning of the coefficient of multiple determination in this problem.
Determine the adjusted r².
i. At the 0.05 level of significance, determine whether each independent variable
makes a significant contribution to the regression model. Indicate the most
appropriate regression model for this set of data.
j. What conclusions can you reach concerning field goal percentage and three-point
field goal percentage in predicting the number of wins?
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