FitDegree

is an option to LocalModelFit that specifies the degree of the local polynomial used.

Details

FitDegree, also known as polynomial order, is used to specify the degree of the polynomial used in a fit.
Possible values include:
0 a constant fit

1 a linear fit

2 a quadratic fit

n a polynomial of degree n

Specify the polynomial degree of a local fit:

Wolfram Language code: data = {...};

Wolfram Language code: trend = LocalModelFit[data, FitDegree -> 2]

Wolfram Language code: Show[ListPlot[data], Plot[trend[x], {x, 0, 2Pi}, PlotStyle -> Red]]

Compare approximation using different polynomial degrees:

Wolfram Language code: fits = Table[LocalModelFit[{...}, FitDegree -> d], {d, 0, 4}]

Wolfram Language code: Plot[Evaluate@Quiet@Comap[fits, x], {x, 0, 2Pi}, PlotLegends -> Range[0, 4]]

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