Part I of a self-inflicted challenge: The Line of Best Fit

Here's my challenge, created by me, for me. I want to explain where the line of best fit comes from. Not just the algorithm to find it, but conceptually how it is found. My intended audience: students in Algebra II. Where the derivation comes from? Multivariable calculus. So here we go. Let's say we have…

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February, 2011