The following table gives the 2015 total payroll (in millions of dollars) and the percentage of games won during the 2015 season by each of the American League baseball teams.

a. Find the least squares regression line with total payroll as the independent variable and percentage of games won as the dependent variable.
b. Is the equation of the regression line obtained in part a the population regression line? Why or why not? Do the values of the y-intercept and the slope of the regression line give A and B or a and b?
c. Give a brief interpretation of the values of the y-intercept and the slope obtained in part a.
d. Predict the percentage of games won by a team with a total payroll of $150 million.

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Total Payroll (millions of dollars) Percentage of Team Games Won 50 Baltimore Orioles 110 Boston Red Sox 187 48 Chicago White Sox 115 47 50 Cleveland Indians 86 Detroit Tigers 174 46 Houston Astros 71 53 Kansas City Royals 114 59 Los Angeles Angels 151 53 Minnesota Twins 109 51 New York Yankees 219 54 Oakland Athletics 86 42 Seattle Mariners 120 47 Tampa Bay Rays 76 49 Texas Rangers 142 54 Toronto Blue Jays 123 57