I have two polynomials:
$y_1 = .00006x^2 + .0014x + 59.47$
$y_2 = .00006x^2 + .0012x + 59.463$
I need to figure out how much to shift $x$ in $y_2$ so that it has the best fit with $y_1$.
Note: these are not the same curve with one simply shifted horizontally so there is no way to fit them perfectly by shifting x, I just need a best fit.
I'm pretty sure I need to use a least squares regression, but am having trouble figuring out how exactly to put that together for this problem. All of the information I can find through Google is related to finding line of best fit for a data set or lining up two curves using software (with no explanation of the math, which is what I need).
Let me know if anything is unclear or if I need to provide more detail - I think I covered everything and expressed my question as clearly as I can, but can certainly try to improve it if needed.
Thanks!