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Question

In 2012, the New York Yankees won 95 games and spent $198\$ 198 million on salaries for their players (USA Today). Is there a relationship between salary and team performance in Major League Baseball? For the 2012 season, a linear model fit to the number of Wins (out of 162 regular season games) from the team Salary ($M)(\$ M) for the 30 teams in the league is:

 Wins ^=76.45+0.046 Salary. \widehat{\text { Wins }}=76.45+0.046 \text { Salary. }

c) What does the slope mean in this context?

Solution

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Answered 1 year ago
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It is given a linear model to predict the number of Wins from the team Salary (in $\$M) :

Wins^=76.45+0.046Salary()\widehat{\textit{Wins}} = 76.45 + 0.046 \textit{Salary}\,\,\,(\star)

In this part of the problem, our task is to give the meaning of the slope in the model ()(\star).

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