i want to reduce SSE that is generated in curve fitting toolbox, how to do this

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I have points x,y,z and by curve fitting i have an equation, f(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2 + p30*x^3 + p21*x^2*y
+ p12*x*y^2 + p03*y^3 + p40*x^4 + p31*x^3*y + p22*x^2*y^2
+ p13*x*y^3 + p04*y^4 + p50*x^5 + p41*x^4*y + p32*x^3*y^2
+ p23*x^2*y^3 + p14*x*y^4 + p05*y^5.
For which the SSE is 3.925, my question is how to reduce this SSE?
all th 'p' terms with numbers are coefiicients having their own values , p00 = -0.08745
p10 = -0.01899
p01 = 0.02133
p20 = -8.545e-05
p11 = 9.849e-05
p02 = 0.0001887
p30 = 1.202e-06
p21 = -4.43e-07
p12 = -1.591e-06
p03 = -2.649e-06
p40 = -4.606e-09
p31 = -1.148e-09
p22 = 7.249e-09
p13 = 7.196e-09
p04 = 1.477e-
p50 = 6.537e-12
p41 = 4.849e-12
p32 = -1.26e-11
p23 = -8.424e-12
p14 = -1.338e-11
p05 = -2.795e-11
please help, very urgent
  1 Commento
Bjorn Gustavsson
Bjorn Gustavsson il 5 Lug 2019
If that function is your model-function and those are the best fitting coefficients then that SSE is what you get. The question is if you should reduce the SSE. You could take a look at Akaike information criterion, AIC, or Bayesian information criterion, BIC, and then simlpy increase the number of model-terms until you find a minimum of either AIC or BIC. The next question is if a 2-D polynomial is the best fitting-function for your data? Perhaps you can find a better model-function?

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