Question

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.

Answer 1

Answer:

Option B. y = 14x - 3.5

Number of wins for the team will be 24.5

Step-by-step explanation:

Since line of best fit passes through two points (0.25, 0) and (0.75, 7)

Let the equation of the line of best fit is, y - y' = m(x - x') + c

Here 'm' = Slope of the line

              = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

              = $\frac{7-0}{0.75-0.25}$

              = $\frac{7}{0.5}$

          m = 14

Equation of the line of best fit passing through a point (0.25, 0) will be

y - 0 = 14(x - 0.25)

y = 14x - 3.5 [Option B]

Now number of wins for a team that scores 2 goals per match will be,

For x = 2

y = 14x - 3.5

y = 14×2 - 3.5

  = 28 - 3.5

  = 24.5 wins

Therefore, number of wins for the team will be 24.5