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1. Refer to the baseball data for 2005 on 30 major league teams (see bottom of page). Use a Contingency Table to analyze the relationship between games won and salary. Set up a variable that divides the teams into two groups, those that had a winning season and those that did not. There are 162 games in the season, so define a winning team as having won 82 or more games. Next, divide the teams into two salary groups. Let the 15 teams with the largest salaries be in one group and the 15 teams with the smallest salaries in the other group. At the .05 level of significance is there a relationship between salary and winning?
B. Use Spearman's Rank-Order Correlation method to compute the coefficient of correlation between salary and the number of wins. Test the significance of this correlation using the t-test. At the .05 and .01 level of significance, is there a relationship between salary and winning?
C. Use linear regression analysis to compute the correlation between Wins and Salary. List the regression equation, and all associated regression output. At the .05 and .01 level of significance, is there a relationship between salary and winning?
BASEBALL TEAM TABLE OF SALARIES AND WINS (BELOW):
Team: Sal-mil Wins
Boston 123.5 95.0New York Yankees 208.3 95.0Oakland 55.4 88.0Baltimore 73.9 74.0Los Angles Angels 97.7 95.0Cleveland 41.5 93.0Chicago White Sox 75.2 99.0Toronto 45.7 80.0Minnesota 56.2 83.0Tampa Bay 29.7 67.0Texas 55.8 79.0Detroit 69.1 71.00Seattle 87.8 69.0Kansas City 36.9 56.0Atlanta 86.5 90.0Arizona 62.3 77.0Houston 76.8 89.0Cincinnati 61.9 73.0New York Mets 101.3 83.0Pittsburgh 38.1 67.0Los Angeles 83.0 71.0San diego 63.3 82.0Washington 48.6 81.0San Francisco 90.2 75.0St. Louis 92.1 100.0Florida 60.4 83.0Philadelphia 95.5 88.0Milwaukee 39.9 81.0Chicago cubs 87.0 79.0Colorado 48.2 67.0
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