Chapter 14, Problem 77PS

a.

To determine

Find the multiple regression equation.

b.

To determine

Interpret the slopes of the regression equation.

c.

To determine

Predict the mean number of wins for a team that has an ERA of $4.50$ and $4.6$ runs scored per game.

d.

To determine

Perform a residual analysis on the given model and determine whether regression assumptions are valid or not.

e.

To determine

Determine whether there is a significant relationship between the number of wins and two independent variables at $5\%$ significance level.

f.

To determine

Determine the $p\text{-value}$ in part (e) and interpret it.

g.

To determine

Interpret the meaning of the coefficient of multiple determination.

h.

To determine

Determine the adjusted $r^2$ .

i.

To determine

Determine whether each independent variable makes a significant contribution to the regression model and indicate the most appropriate regression model.

j.

To determine

Determine the $p\text{-value}$ in part (i) and interpret it.

k.

To determine

Determine $95\%$ confidence interval estimate of the population slope between the wins and the ERA.

l

To determine

Compute and interpret the coefficients of partial determination.

m.

To determine

Explain which is more important in predicting wins-pitching, measured as ERA or offense, measured by runs scored per game.