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

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-70=\dfrac{90-70}{4.5-2}(x-2)$

$y-70=\dfrac{20}{2.5}(x-2)$

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

$y-70=8x-16$

Adding 70 on both sides, we get

$y=8x-16+70$

$y=8x+54$

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