Question

Asked Nov 16, 2019

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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 |

1) Estimate the following multiple regression model (copy and paste the results from either Minitab or Excel).

2) Interpret the meanings of the coefficients of the regression model.

3) 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 35%.

1) Estimate the following multiple regression model (copy and paste the results from either Minitab or Excel).

2) Interpret the meanings of the coefficients of the regression model.

3) 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 35%.

Step 1

a)

The multiple regression model is obtained as follows:

Step-by-step procedure to find multiple regression equation using MINITAB software:

Step 2

- Choose
**Stat > Regression > Regression**. - In
**Response**, enter the column of**Wins**. - In
**Predictors**, enter the columns of**Field Goal% and Three-Point Field Goal%**. - Click
**OK**.

Output using MINITAB software is shown below:

Step 3

From the MINITAB output, the multiple r...

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