Question

Use technology to find the line of best fit for the following data.

Answer 1

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of $y=mx+b$ and then find the value of b.

Solution:

The general form of best fit line is:

$y=mx+b$              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

$y=1.1x-0.7$          ...(ii)

On comparing (i) and (ii), we get

$b=-0.7$

Therefore, the value of b is equal to -0.7.