Question

The table shows the number of games a chess player won in professional competitions, based on the number of games played. Games Played (x) 10 15 20 25 30 Games Won (y) 4 10 16 21 25 The line of best fit for the situation is . If the chess player plays 40 games in the next competition, the expected number of games won would be approximately .

Answer 1

Answer:

He would be expected to win roughly 35 games with a line of best fit as y = x - 5

Step-by-step explanation:

In order to find this, you can use just about any ordered pair to create an equation. There are other methods, but in this case, we'll create a line between (15,10) and (30, 25). First find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (25 - 10)/(30 - 15)

m = 15/15

m = 1

Now that we have the slope of 1, we can use it along with either points and point-slope form to get the equation.

y - y1 = m(x - x1)

y - 25 = 1(x - 30)

y - 25 = x - 30

y = x - 5