Question

What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three decimal places

Answer 1

D.
`y=-0.927x+13.634`

Explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope
`m`between them (we choose these points because the line passing through them will be the best fit for all points)

`m=(14-1)/(1-15) =(13)/(-14) =-0.9286`

Thus we have the equation

`y=-0.9286x+b`

Let us now calculate
`b` from the point
`(1,14)`

`14=-0.9286(1)+b`

`b=14.9286`

So the equation we get is

`y=-0.9286x+14.9286`

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D.
`y=-0.927x+13.634` is the closest one, so we pick it.