Why Use the Least Squares Method for Finding Slope?

[ksaechao]

Homework Statement

why did you use the least squares method for finding m, rather than the standard slope formula?

Homework Equations

The Attempt at a Solution

I am totally confused about why you have to use the least squares method

 

[mgb_phys]

In the real world the measured values don't line on a perfect stright line - due to experimental and measurement errors.
The least squares fit gives the best 'average' fit to the data.

 

[Integral]

In addition to mgb's post, you may well have more then 2 points to fit your line to. Since you are attempting to find the line which best approximates ALL of your data you need method which uses information from all of your data points. The normal methods for determining the parameters of a line use information from only 2 points.

 

[ksaechao]

ok thanks a lot! i think i understand it now