Best Cubic Polynomial fitting

I have a data set (a versus b, see the attached file and the attached figure). fig1.png I want to find the coefficients p and q of the cubic polynomial b=p*a+q*a^3 that fits the data. Please help.

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Torsten
Torsten 2019-1-22

0 个投票

mat = [a a.^3];
rhs = b;
sol = mat\rhs;
p = sol(1)
q = sol(2)
fun=@(x) p*x + q*x.^3;
bb = fun(a);
plot(a,b,a,bb)

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2019-1-22

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