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

If you are still looking for this answer here it is, and if not here it is still for other people lol.  
answer =   y = -3.5x - + 57.5

Answer 2

Answer:  The correct option is

(A) $y=-3.5x+57.5.$

Step-by-step explanation:  We are given to find the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.

From the table and the scatter plot sown in the figure, we note that

the two points that are closest to the line are (5, 40) and (15, 5).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line will be

$m=\dfrac{5-40}{15-5}=-\dfrac{35}{10}=-3.5.$

Since the point (5, 40) is very close to the line, so its equation will be

$y-40=m(x-5)\\\\\Rightarrow y-40=-3.5(x-5)\\\\\Rightarrow y=-3.5x+17.5+40\\\\\Rightarrow y=-3.5x+57.5.$

Thus, the required equation for the linear model is $y=-3.5x+57.5.$

Option (A) is CORRECT.