One of the most frequently used summary statistics for the performance of a baseball hitter is the so-called batting average.

One of the most frequently used summary statistics for the performance of a baseball hitter is the so-called batting average. In essence, it calculates the percentage of hits in the number of opportunities to hit (appearances “at the plate”). The management of a professional team has hired you to predict next season’s performance of a certain hitter who is up for a contract renegotiation after a particularly great year. To analyze the situation, you search the literature and find a study which analyzed players who had
at least 50 at bats in 1998 and 1997. There were 379 such players.
(a) The reported regression line in the study is

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