“Refer to the baseball 2008 data which report information on 30 major league baseball teams for the 2008 season. Let the number of games won be the dependant variable and the following variables be independent variables: team batting average, number of stolen bases, number of errors committed, team ERA, number of home runs, and whether the team’s home field is natural grass or artificial turf.A. Write out the regression equation. Discuss each of the variables. For example, are you surprised that the regression coefficient for ERA is negative? How many wins does playing on natural grass for a home field add to or subtract from the total wins for the season?B. Determine the value of R². Interpret.C. Develop a correlation matrix. Which independent variables have strong or weak correlations with the independent variables. Interpret.D. Conduct a global test on the set of independent variables.E. Conduct a test of hypothesis on each of the independent variables. Would you consider deleting any of the variables? Is so which ones?F. Rerun the analysis until only significant net regression coefficients remain in the analysis. Identify these variables. G. Develop a histogram of the residuals from the final regression equation developed in part (f). Is it reasonable to conclude that the normality assumption has been met. H. Plot the residuals against the fitted values from final regression equation developed in part (f)against the fitted values of Y. Plot the residuals on the vertical axis and the fitted values on the horizontal axis.
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