=4-30 In 2012, the total payroll for the New York Yankees was almost $200 million, while the total payroll for the Oakland Athletics (a team known for using baseball analytics or sabermetrics) was about $55 million, less than one-third of the Yankees payroll. In the following table, you will see the payrolls (in millions)

and the total number of victories for the baseball teams in the American League in the 2012 season.

Develop a regression model to predict the total number of victories based on the payroll. Use the model to predict the number of victories for a team with a payroll of $79 million. Based on the results of the computer output, discuss the relationship between payroll and victories.

Team Payroll

($millions)

Number of Victories Baltimore Orioles 81.4 93 Boston Red Sox 173.2 69 Chicago White Sox 96.9 85 Cleveland Indians 78.4 68 Detroit Tigers 132.3 88 Kansas City Royals 60.9 72 Los Angeles Angels 154.5 89 Minnesota Twins 94.1 66 New York Yankees 198.0 95 Oakland Athletics 55.4 94 Seattle Mariners 82.0 75 Tampa Bay Rays 64.2 90 Texas Rangers 120.5 93 Toronto Blue Jays 75.5 73