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Is there a relationship between total team salary and the performance of teams in the National Football League (NFL)? For the 2016–2017 season, a linear model predicting Wins (out of 16 regular season games) from the total team Salary ($M) for the 32 teams in the league is: a) What is the explanatory variable? b) What is the response variable? c) What does the slope mean in this context? d) What does the y-intercept mean in this context? Is it meaningful? e) If one team spends $10 million more than another on salary, how many more games on average would you predict them to win? f) The Dallas Cowboys spent $137 million on salaries and won 13 games. Did they do better or worse than predicted? g) What was the Dallas Cowboys’ residual? h) The residual standard deviation is 2.92 games. What does that tell you about the likely practical use of this model for predicting wins? |
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