13. Below are a randomly selected set of teams from Major League Baseball\'s Ame

Question

13. Below are a randomly selected set of teams from Major League Baseball's American League. The team's batting average is linearly associated with the number of games won eam Batting Average Games won Toronto Baltimore Boston Tampa Bay Cleveland Detroit Chicago Kansas City Minnesota Anaheim Texas Seattle Oakland 0.266 0.273 0.28 0.261 0.272 0.264 0.271 0.263 0.266 0.272 0.289 0.276 0.257 79 92 63 89 65 80 72 70 85 in a season. oames w --1 22.8901 1 + 746.03 174(x), where x is the team batting average; r- 0.674. 76 74 a. [3] What is the residual value for the team batting average of 0.271? b. [3] What fraction of the variation in games won can be explained by the batting average and the linear equation model?

Explanation / Answer

a) as residual =actual -predicted value =80-(-122.89011+746.03174*0.271)=0.715508

b)

as fraction of variation explained =R2 =(0.674)2 =0.454276

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