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Estimate the model that predicts wins from (grand mean centered) runs scored and (grand mean centered) runs allowed

Statistics Sep 28, 2020

Estimate the model that predicts wins from (grand mean centered) runs scored and (grand mean centered) runs allowed. {Note: Grand mean centering was used to aid in the interpretation of the intercept.}

(a) What is the predicted model?
(b) Do the coefficients have the expected signs?
(c) What is the interpretation of the intercept? Does this make sense?
(d) What is the predicted number of wins for the Orioles? The Twins?
(e) How many wins would we expect from a team that scores 10 runs more than the average, but allows 20 runs more than the average?

See attached Word file for a cleaner version of the question. The data is included below in SPSS format, as well as in Excel. The output is attached with the solution. Note that I have included additional variables that may be interesting in their own right. Feel free to explore.

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