Answer:
Now I am not completely sure but...maybe is it that:
A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:
y = a x 2 + b x + c where a ≠ 0 .
Cause I think it might be the best way to find this equation manually is by using the least squares method. That is, we need to find the values of a , b , and c such that the squared vertical distance between each point ( x i , y i ) and the quadratic curve y = a x 2 + b x + c is minimal.
The matrix equation for the quadratic curve is given by:
[ ∑ x i 4 ∑ x i 3 ∑ x i 2 ∑ x i 3 ∑ x i 2 ∑ x i ∑ x i 2 ∑ x i n ] [ a b c ] = [ ∑ x i 2 y i ∑ x i y i ∑ y i ]
