Question

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

Answer 1

Answer:

$y=-3.5x+57.5$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

take the two points closest to the line in the graph

(5,40) and (15,5)

find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-40}{15-5}$

$m=-3.5$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-3.5\\point\ (5,40)$

substitute and solve for b

$40=-3.5(5)+b\\b=57.5$

substitute

$y=-3.5x+57.5$