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

Answer:

D. $y=-0.927x+13.634$

Step-by-step 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)

$m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286$

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.