An author of a book discusses how statistics can be used to judge both a basebal

Question

An author of a book discusses how statistics can be used to judge both a baseballplayer's potential and a team's ability to win games. One aspect of this analysis is that ateam's on-base percentage is the best predictor of winning percentage. The on-base percentage is the proportion of time a player reaches a base. For example, an on-base percentage of 0.3 would mean the player safely reaches bases 3 times out of 10, on average. For a certain baseball season, winning percentage, y, and on-base percentage, x, are linearly related by the least-squares regression equation y=2.962.96x- 0.48750.4875.

(d) A certain team had an on-base percentage of 0.324 and a winning percentage of 0.544.What is the residual for that team? How would you interpret this residual?

The residual for the team is ???

(Round to four decimal places as needed.)

Explanation / Answer

from above regression equation: predicted  winning percentage Yhat =2.96*0.324-0.4875=0.47154

hence residual for the team is =actual value -predicted value =0.544-0.47154=0.0725

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