I am currently in a college algebra class wherein I am required to do a rather lengthy project regarding least squares.
One particular exercise posits the following (keep in mind that in this project we have a set of 20 unique coordinates),

I am unclear as to how to calculate this or what the n value is (how do I plug in a value of N is greater than or equal to 2?
Any help would be greatly appreciated
Each of the things under "Show that" can be proven by using the definition of the mean. Note that $\overline x=\frac {x_1+x_2+\dots x_n}n$. Plug that into your first equation. There are $n$ of the $\overline x$ so everything adds out.