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

question 68

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:
$$\hat { y }$$ = - 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

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