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. The data are stored in NBA.xlsx . TEAM Wins Field Goal % Three-Point Field Goal % Points Per Game Rebound Freedraw Turnover Houston Rockets 65 46 36.2 112.4 43.5 19.6 13.8 Toronto Raptors 59 47.2 35.8 111.7 44 17.3 13.4 Golden State Warriors 58 50.3 39.1 113.5 43.5 16.6 15.4 Boston Celtics 55 45 37.7 104 44.5 16 14 Philadelphia 76ers 52 47.2 36.9 109.8 47.4 17.1 16.5 Cleveland Cavaliers 50 47.6 37.2 110.9 42.1 18.1 13.7 Portland Trail Blazers 49 45.2 36.6 105.6 45.5 16.7 13.5 Indiana Pacers 48 47.2 36.9 105.6 42.3 14.9 13.3 New Orleans Pelicans 48 48.3 36.2 111.7 44.3 16.1 14.9 Oklahoma City Thunder 48 45.3 35.4 107.9 45.1 17.3 14 Utah Jazz 48 46.2 36.6 104.1 43.3 16.8 14.7 Minnesota Timberwolves 47 47.6 35.7 109.5 42 19.4 12.5 San Antonio Spurs 47 45.7 35.2 102.7 44.2 16.1 13.1 Denver Nuggets 46 47 37.1 110 44.5 17.1 15 Miami Heat 44 45.5 36 103.4 43.5 14.7 14.4 Milwaukee Bucks 44 47.8 35.5 106.5 39.8 18.3 13.8 Washington Wizards 43 46.7 37.5 106.6 43.1 16.8 14.6 LA Clippers 42 47.1 35.4 109 43.9 19 14.7 Detroit Pistons 39 45 37.3 103.8 43.7 14.7 13.4 Charlotte Hornets 36 45 36.9 108.2 45.5 20.2 12.7 Los Angeles Lakers 35 46.1 34.5 108.1 46.4 16.6 15.8 New York Knicks 29 46.4 35.2 104.5 44 14.9 14.7 Brooklyn Nets 28 44.1 35.6 106.6 44.4 17.4 15.2 Chicago Bulls 27 43.5 35.5 102.9 44.7 14.6 14 Sacramento Kings 27 45 37.5 98.8 40.9 12.3 13.7 Orlando Magic 25 45.2 35.1 103.4 41.6 15.5 14.5 Atlanta Hawks 24 44.6 36 103.4 41.9 15.8 15.5 Dallas Mavericks 24 44.4 36 102.3 41.3 14.2 12.3 Memphis Grizzlies 22 44.4 35.2 99.3 40.5 16.6 15 Phoenix Suns 21 44.2 33.4 103.9 44.1 17.7 15.7 4) Perform a residual analysis on your results and determine whether the regression assumptions are valid. 5) Using t-test, show if the field goal percent or the three point field goal percent are significant at the 0.05 level of significance using the following hypothesis? (Use the p-values to explain without using t-table) 1〖Ho: β〗_1=0,Ha:β_1≠0 2 b. 〖Ho: β〗_2=0,Ha:β_2≠0 7) Interpret the meaning of the coefficient of multiple determination (r2) in this problem.

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. The data are stored in NBA.xlsx . TEAM Wins Field Goal % Three-Point Field Goal % Points Per Game Rebound Freedraw Turnover Houston Rockets 65 46 36.2 112.4 43.5 19.6 13.8 Toronto Raptors 59 47.2 35.8 111.7 44 17.3 13.4 Golden State Warriors 58 50.3 39.1 113.5 43.5 16.6 15.4 Boston Celtics 55 45 37.7 104 44.5 16 14 Philadelphia 76ers 52 47.2 36.9 109.8 47.4 17.1 16.5 Cleveland Cavaliers 50 47.6 37.2 110.9 42.1 18.1 13.7 Portland Trail Blazers 49 45.2 36.6 105.6 45.5 16.7 13.5 Indiana Pacers 48 47.2 36.9 105.6 42.3 14.9 13.3 New Orleans Pelicans 48 48.3 36.2 111.7 44.3 16.1 14.9 Oklahoma City Thunder 48 45.3 35.4 107.9 45.1 17.3 14 Utah Jazz 48 46.2 36.6 104.1 43.3 16.8 14.7 Minnesota Timberwolves 47 47.6 35.7 109.5 42 19.4 12.5 San Antonio Spurs 47 45.7 35.2 102.7 44.2 16.1 13.1 Denver Nuggets 46 47 37.1 110 44.5 17.1 15 Miami Heat 44 45.5 36 103.4 43.5 14.7 14.4 Milwaukee Bucks 44 47.8 35.5 106.5 39.8 18.3 13.8 Washington Wizards 43 46.7 37.5 106.6 43.1 16.8 14.6 LA Clippers 42 47.1 35.4 109 43.9 19 14.7 Detroit Pistons 39 45 37.3 103.8 43.7 14.7 13.4 Charlotte Hornets 36 45 36.9 108.2 45.5 20.2 12.7 Los Angeles Lakers 35 46.1 34.5 108.1 46.4 16.6 15.8 New York Knicks 29 46.4 35.2 104.5 44 14.9 14.7 Brooklyn Nets 28 44.1 35.6 106.6 44.4 17.4 15.2 Chicago Bulls 27 43.5 35.5 102.9 44.7 14.6 14 Sacramento Kings 27 45 37.5 98.8 40.9 12.3 13.7 Orlando Magic 25 45.2 35.1 103.4 41.6 15.5 14.5 Atlanta Hawks 24 44.6 36 103.4 41.9 15.8 15.5 Dallas Mavericks 24 44.4 36 102.3 41.3 14.2 12.3 Memphis Grizzlies 22 44.4 35.2 99.3 40.5 16.6 15 Phoenix Suns 21 44.2 33.4 103.9 44.1 17.7 15.7 4) Perform a residual analysis on your results and determine whether the regression assumptions are valid. 5) Using t-test, show if the field goal percent or the three point field goal percent are significant at the 0.05 level of significance using the following hypothesis? (Use the p-values to explain without using t-table) 1〖Ho: β〗_1=0,Ha:β_1≠0 2 b. 〖Ho: β〗_2=0,Ha:β_2≠0 7) Interpret the meaning of the coefficient of multiple determination (r2) in this problem.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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TEAM	Wins	Field Goal %	Three-Point Field Goal %	Points Per Game	Rebound	Freedraw	Turnover
Houston Rockets	65	46	36.2	112.4	43.5	19.6	13.8
Toronto Raptors	59	47.2	35.8	111.7	44	17.3	13.4
Golden State Warriors	58	50.3	39.1	113.5	43.5	16.6	15.4
Boston Celtics	55	45	37.7	104	44.5	16	14
Philadelphia 76ers	52	47.2	36.9	109.8	47.4	17.1	16.5
Cleveland Cavaliers	50	47.6	37.2	110.9	42.1	18.1	13.7
Portland Trail Blazers	49	45.2	36.6	105.6	45.5	16.7	13.5
Indiana Pacers	48	47.2	36.9	105.6	42.3	14.9	13.3
New Orleans Pelicans	48	48.3	36.2	111.7	44.3	16.1	14.9
Oklahoma City Thunder	48	45.3	35.4	107.9	45.1	17.3	14
Utah Jazz	48	46.2	36.6	104.1	43.3	16.8	14.7
Minnesota Timberwolves	47	47.6	35.7	109.5	42	19.4	12.5
San Antonio Spurs	47	45.7	35.2	102.7	44.2	16.1	13.1
Denver Nuggets	46	47	37.1	110	44.5	17.1	15
Miami Heat	44	45.5	36	103.4	43.5	14.7	14.4
Milwaukee Bucks	44	47.8	35.5	106.5	39.8	18.3	13.8
Washington Wizards	43	46.7	37.5	106.6	43.1	16.8	14.6
LA Clippers	42	47.1	35.4	109	43.9	19	14.7
Detroit Pistons	39	45	37.3	103.8	43.7	14.7	13.4
Charlotte Hornets	36	45	36.9	108.2	45.5	20.2	12.7
Los Angeles Lakers	35	46.1	34.5	108.1	46.4	16.6	15.8
New York Knicks	29	46.4	35.2	104.5	44	14.9	14.7
Brooklyn Nets	28	44.1	35.6	106.6	44.4	17.4	15.2
Chicago Bulls	27	43.5	35.5	102.9	44.7	14.6	14
Sacramento Kings	27	45	37.5	98.8	40.9	12.3	13.7
Orlando Magic	25	45.2	35.1	103.4	41.6	15.5	14.5
Atlanta Hawks	24	44.6	36	103.4	41.9	15.8	15.5
Dallas Mavericks	24	44.4	36	102.3	41.3	14.2	12.3
Memphis Grizzlies	22	44.4	35.2	99.3	40.5	16.6	15
Phoenix Suns	21	44.2	33.4	103.9	44.1	17.7	15.7

4) Perform a residual analysis on your results and determine whether the regression assumptions are valid.

5) Using t-test, show if the field goal percent or the three point field goal percent are significant at the 0.05 level of significance using the following hypothesis? (Use the p-values to explain without using t-table)

1〖Ho: β〗_1=0,Ha:β_1≠0

2 b. 〖Ho: β〗_2=0,Ha:β_2≠0

7) Interpret the meaning of the coefficient of multiple determination (r²) in this problem.

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