Suppose you are doubtful about what polynomial order would best fit a time series

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Suppose you are doubtful about what polynomial order would best fit a time series. You tried 2nd, 3rd,and 4thdegree polynomials. Instead of keep doing it forever, you want to test on whether those polynomial fittings are equivalent.Test the equivalence of the 3rdand 4thdegreepolynomial fitting. Each solution provided the following information to you:Residual vector for the 3rdorder: r= [1.8,-1.5,0.7,-0.9,0.9,-1.1,-1.2,1.5]T

Residual vector for the 4thorder: r= [1.2,-1.0,1.0,-1.4,1.9,0.5,-1.1,-1.2]T