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The National Basketball Association (NBA)would Like to Develop a Multiple y^\hat { y }

Question 38

Multiple Choice

The National Basketball Association (NBA) would like to develop a multiple regression model that would predict the number of wins for a team during the season. The following independent variables were considered for the model: field goal percentage (X1) , free throw percentage (X2) , turnovers per game (X3) , rebounds per game (X4) , and steals per game (X5) . The following regression model was chosen using a data set of team statistics:
y^\hat { y } = - 276.8949 + 6.0284x1 - 6.8230x3 + 3.348x4
The first team from the data set had the following values:
Wins = 56
Field goal percentage = 48.6%
Free throw percentage = 77.0%
Turnovers per game = 14.6
Rebounds per game = 38.8
Steals per game = 8.2
The residual for this team is _.


A) 9.6
B) - 3.1
C) 7.0
D) - 5.2

Correct Answer:

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