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 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 $150 million.

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Total Payroll (millions of dollars) Percentage of Team Games Won 92 49 Arizona Diamondbacks Atlanta Braves 98 41 Chicago Cubs 119 60 Cincinnati Reds 117 40 Colorado Rockies 102 42 Los Angeles Dodgers 273 57 Miami Marlins 68 44 Milwaukee Brewers 105 42 New York Mets 101 56 Philadelphia Phillies 136 39 Pittsburgh Pirates 88 61 San Diego Padres 101 46 San Francisco Giants 173 52 St. Louis Cardinals 121 62 Washington Nationals 165 51