Refer to the Baseball 2010 data, which reports information on the 2010 Major League Baseball season. Let the games won be the dependent variable and total team payroll, in millions of dollars, be the independent variable. Determine the regression equation and answer the following questions.

a. Draw a scatter diagram. From the diagram, does there seem to be a direct relationship between the two variables?

b. How many wins would you estimate with a payroll of $100.0 million?

c. How many additional wins will an additional $5 million in payroll bring?

d. At the .05 significance level, can we conclude that the slope of the regression line is positive? Conduct the appropriate test of hypothesis.

e. What percentage of the variation in wins is accounted for by payroll?

f. Determine the correlation between wins and team batting average and between wins and team ERA. Which is stronger? Conduct an appropriate test of hypothesis for each set of variables.