Is there a relationship between total team salary and the performance of footbal
ID: 3055086 • Letter: I
Question
Is there a relationship between total team salary and the performance of football teams? For a season, a linear model predicting Wins (out of 16 regular season games) from the total team Salary (SM) is shown below. Complete parts a through h below. Wins-5.713+0.023 Salary a) What is the explanatory variable? OA. Salary, because the total salary is used to predict the number of wins O B. Salary, because the number of wins is used to predict the total salary ° C. Wins, because the number of wins is used to predict the total salary O D. Wins, because the total salary is used to predict the number of wins b) What is the response variable? ( A. Salary, because the number of wins is determined from the total salary O B. Wins, because the total salary is determined from the number of wins O C. Wins, because the number of wins is determined from the total salary O D. Salary, because the total salary is determined from the number of wins c) What does the slope mean in this context?Explanation / Answer
(a)
Here explanatroy variable or independent variable is salary.
Correct option is A.
(b)
Here response variable or dependent variable is wins.
Correct option is B.
(c)
The slope is: 0.023
It shows that for each unit increase in salary, number of wins increased by the 0.023 units.
Option B is correct.
(d)
Intercept is : 5.713
Correct option is D.
(e)
The increased number of wins is
12 * 0.023 = 0.276 wins
(f)
The predicted value of number of wins for salary = 150 million is
wins = 5.713 + 150 * 0.023 = 9.163
The team would have done slightly worse than predicted. They are expected to win 9.163 games.
(g)
Residual = observed - predicted = 9 - 9.163 = -0.163
(h)
Correct option is B.
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