Question

Find the equation for the line of best fit using the two points that are close to the line of best fit (2,70) and (4.5, 90)

Answer 1

Given:

Two points that are close to the line of best fit are (2,70) and (4.5, 90).

To find:

Th equation of best fit line using the given two points.

Solution:

We know that, if a line passes through the two points, then the equation of line is

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

Two points (2,70) and (4.5, 90) are close to the best fit line.

Consider the two points (2,70) and (4.5, 90). So, the equation of line is

`y-70=(90-70)/(4.5-2)(x-2)`

`y-70=(20)/(2.5)(x-2)`

`y-70=8(x-2)`

`y-70=8x-16`

Adding 70 on both sides, we get

`y=8x-16+70`

`y=8x+54`

Therefore, the equation of best fit line is
`y=8x+54`.