QUESTION 1: a) What is an ANOVA test? b) In 2009, the New York Yankees won 103 baseball games during the regular season. The table on the next page lists the number of victories (W), the earned run-average (ERA), and the batting average (AVG) of each team in the American League. The ERA is one measure of the effectiveness of the pitching staff, and a lower number is better. The batting average is one measure of effectiveness of the hitters, and a higher number is better. (i) Develop a regression model that could be used to predict the number of victories based on the ERA. (ii) Develop a regression model that could be used to predict the number of victories based on the batting average. (iii) Which of the two models is better for predicting the number of victories? (iv) Develop a multiple regression model that includes both ERA and batting average. How does this compare to the previous models? TEAM W ERA AVG New York Yankees 103 4.26 0.283 Los Angeles Angels 97 4.45 0.285 Boston Red Sox 95 4.35 0.270 Minnesota Twins 87 4.50 0.274 Texas Rangers 87 4.38 0.260 Detroit Tigers 86 4.29 0.260 Seattle Mariners 85 3.87 0.258 Tampa Bay Rays 84 4.33 0.263 Chicago White Sox 79 4.14 0.258 Toronto Blue Jays 75 4.47 0.266 Oakland Athletics 75 4.26 0.262 Cleveland Indians 65 5.06 0.264 Kansas City Royals 65 4.83 0.259 Baltimore Orioles 64 5.15 0.268