Question

Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10 C. y= 10x + 2 OD. y= 10x​

Answer 1

Answer:

$y = 10x$

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using $(8,80)$ and $(2,20)$

We have:

$(x_1,y_1) = (8,80)$

$(x_2,y_2) = (2,20)$

Calculate slope (m)

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

$m = \frac{20 - 80}{2- 8}$

$m = \frac{-60}{-6}$

$m = 10$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 10(x - 8) + 80$

Expand

$y = 10x - 80 + 80$

$y = 10x$