Chapter 14, Problem 34DA

a.

To determine

Make the correlation matrix.

Find the independent variables those have strong or weak correlations with the dependent variable.

Explain whether there are any problems with multicollinearity.

Also explain whether it is surprising that the correlation coefficient for ERA is negative.

b.

To determine

Find the regression equation and explain the procedure of the selection of the variables to include in the equation.

Explain the correlation analysis.

Prove that the regression equation shows a significant relationship.

Give the regression equation and interpret the practical interpretation of it.

Find and interpret $R^2$.

Explain whether the number of wins affected by whether the team plays in the National or the American League.

c.

To determine

Perform a global test on the set of the independent variables and interpret.

d.

To determine

Perform a hypothesis test on individual variables.

Explain whether any of the independent variables will be deleted.

e.

To determine

Draw a histogram or a stem-and-leaf display of the residuals from the final regression equation developed in Part (b).

Explain whether it is reasonable to conclude that the normality assumption has been met.

e.

To determine

Plot the residuals against the fitted value.