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...

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Extracted text: 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. 中 number of victories (y) ERA (x,) TEAM AVG (X2) 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 Detroit Tigers 87 4.38 0.260 86 4.29 0.260 Seattle Mariners 85 3.87 0.258 Tampa Bay Rays Chicago White Sox Toronto Blue Jays 84 4.33 0.263 79 4.14 0.258 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 Using MINITAB PROGRAM and a = 0.05 to answer the following questions а. - Develop a correlation matrix. Indicate, interpret, and conduct the hypothesis testing of the coefficient of correlation between y and x,, y and x2, x,and x2. - Do you see any problems with multicollinearity? Explain. b. - Develop the best estimated regression equation. - Did the estimated regression equation provide a good fit to the data? Explain and given reasons to support your answer with assumption of residual and R. - Indicate the best estimated regression equation and use it to predict the number of victories for a team if the earned-run-average is 4.75 and the batting average is 0.275?