In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were 202020 soccer teams, and each team played a total of 383838 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games.
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\hat y=14x+0.25
y
^
=14x+0.25y, with, hat, on top, equals, 14, x, plus, 0, point, 25
(Choice B)
B
\hat y=14x-3.5
y
^
=14x−3.5y, with, hat, on top, equals, 14, x, minus, 3, point, 5
(Choice C)
C
\hat y=\dfrac23x+0.25
y
^
=
3
2
x+0.25y, with, hat, on top, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 0, point, 25
(Choice D)
D
\hat y=\dfrac23x-3.5
y
^
=
3
2
x−3.5y, with, hat, on top, equals, start fraction, 2, divided by, 3, end fraction, x, minus, 3, point, 5
Based on this equation, estimate the number of wins for a team that scores 222 goals per match.
Round your answer to the nearest tenth.
wins
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