Least Squares Slope

Parabolic Least Squares Estimate

Least Squares Parabola
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
Last edited:


TS Contributor
Those \( x_i, y_i, n \) are the observed data which is known. So you have a system of 3 linear equations with 3 unknowns \( a, b, c \), and you can solve it.