The following table gives the total payroll (in millions of dollars) on the opening day of the 2011 season and the percentage of games won during the 2011 season by each of the National 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 $100 million.

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Total Payroll (millions of dollars) Percentage of Games Won Teami Arizona Diamondbacks Atlanta Braves Chicago Cubs Cincinnati Reds Colorado Rockies Houston Astros Los Angeles Dodgers Miami Marlins Milwaukee Brewers New York Mets Philadelphia Phillies Pittsburgh Pirates San Diego Padres San Francisco Giants St. Louis Cardinals Washington Nationals 53.60 87.00 125.50 76.20 88.00 70.70 103.80 56.90 85.50 120.10 173.00 46.00 45.90 118.20 105.40 63.70 58.0 54.9 43.8 48.8 45.1 34.6 50.9 44.4 59.3 47.5 63.0 44.4 43.8 53.1 55.6 49.7