Question

Use a graphing calculator to find the line of best fit for the data on the graph. All of the points shown have integer coordinates.

Answer 1

Given:

The graph of data points.

To find:

The equation of the best fit line by using the graphing calculator.

Solution:

The general form of a best fit line is:

`y=mx+b` ...(i)

Where, m is the slope and b is the y-intercept.

Using the graphing calculator, we get

`m\approx 1.423`

`b\approx 11.698`

Substituting
`m\approx 1.423, b\approx 11.698` in (i), we get

`y=1.423x+11.698`

Therefore, the equation of the best fit line is
`y=1.423x+11.698` and its graph is shown below.