refer to the baseball 2019 data, which report information on the 30 major league baseball teams for the 2019 season. let the number of games won be the dependent variable and the following variables be independent variables: team batting average, team earned run average (era), number of home runs, and whether the team plays in the american or the national league. a-1. Develop a correlation matrix. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.) b-1. Use a statistical software package to determine the multiple regression equation using team batting average, team earned run average (ERA), number of home runs, and whether the team plays in the American or the National League. Report the ANOVA table. (Round your answers to 4 decimal places.) b-2. To test the null hypothesis that all the regression coefficients are zero, state the decision rule at
0.05
significance level. (Round your answer to 2 decimal places.) b-3. To test the null hypothesis that all the regression coefficients are zero, Compute the value of the test statistic at
0.05
significance level. (Round your answer to 4 decimal places.) c-2. From the regression analysis list the regression coefficients and their p-values. (Round your answers to 4 decimal places.) d-4. Conduct a regression analysis of wins versus to remaining independent variables. d-5. Write out the regression equation. (Round your answers to 4 decimal places.) d-6. What is the value of
R 2
. (Round your answer to 2 decimal places.)