# Least Squares Parabola

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Last edited:

#### Dragan

##### Super Moderator
Hi all

I have been trying to find the values of the coefficients for the least squares parabola:

y = a + bx + cx^2

I have taken partial derivatives wrt a, b, c and now have three equations, but I don't know what to do next...any suggestions? Have you solved this before?

thank you very much!!

I can help with LaTeX in exchange for help thank you very much

Your system of normal equations should look like the following:

$$\Sigma y=an+b\Sigma x+c\Sigma x^{2}$$

$$\Sigma xy=a\Sigma x+b\Sigma x^{2}+c\Sigma x^{3}$$

$$\Sigma x^{2}y=a\Sigma x^{2}+b\Sigma x^{3}+c\Sigma x^{4}$$