02 Jun Question Refer to the Baseball 2010 data, which report information on th
Question
Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season. Let the number of games won be the dependent 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 teams plays in the American or the National League. Add a league code variable using 0 for the National League and 1 for the American League?
a. Usa a statistical software package to determine the multiple regression equation. Discuss each of the variables. For example, are you surprised that the regression coefficient for ERA is negative? Is the numb of wins affect by whether the teams plays in the National of the American League?
b. Find the coefficient of determination for this set of independent variables.
c. Develop a correlation matrix Which independent variables have a strong or weak correlations with the dependent variable? Do you see any problems with multicollinearity?
d. Conduct a global test on the set of independent variables. Interpret.
e. Conduct a test of hypothesis on each of the independent variables. Would you consider deleting any of the variables? If 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 par (f). Is it reasonable to conclude that the normaility assumption has been met?
h. Plot the residuals against the fitted values from the final regression equation developed in part (f). Plot the r
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