Question

Identify the equation that represents the line of best fit on this scatter plot. 30 POINTS

Answer 1

$y=\frac{5}{7} x+2$

How?

The way you find it is easy. +2 means go up 2y. 5 is y too, so you do 2+5=7. Now go 7 positive x. The answer is this.

Hope this helped:)

Answer 2

Answer:

C. $y=\frac{5}{7}x+2$.

Step-by-step explanation:

We have been given a scatter plot. We are asked to find the equation of line of best fit.

First of all, we will find slope of line of best fit using points $(0,2)$ and $(7,7)$.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{7-2}{7-0}$

$m=\frac{5}{7}$

We can see that y-intercept of line of best fit is 2.

We will write our equation in slope intercept form $y=mx+b$, where,

m = Slope,

b = The y-intercept.

Upon substituting $m=\frac{5}{7}$ and $b=2$ in slope-intercept form, we will get:

$y=\frac{5}{7}x+2$

Therefore, the equation of line of best fit for given scatter plot is $y=\frac{5}{7}x+2$ and option C is the correct choice.