Question

Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x​

Answer 1

`y = 10x`

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 = (y_2 - y_1)/(x_2 - x_1)`

`m = (20 - 80)/(2- 8)`

`m = (-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`