Refer to the baseball data let the number of games won be the dependent variable and the following variables be independent: 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; 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 and interpret the value of the r-square. (c) develop a correlation matrix, which independent variables have strong/weak correlations with the dependent variable;are there any problems with the multicollinearity? (d) conduct/intreprept global best on the set of independent variables. (e) conduct a test of hypothesis on each independent variables; which if any, should be deleted? (f) Return the analysis until only significant net regression coefficients remain in the analysis. Identify the variables.