How to use polyfit() function in Matlab?

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First of all i am new to Matlab, and not sure whether to use polyfit or something else for my problem.

I plotted a graph with the following matlab code:

 t=transpose(linspace(-1,1,50)) y=1./(1+25*t.^2) n=10 A=fliplr(vander(t)) A=A(:,1:n) x=A\y u=linspace(-1,1,1000) g=x(n)*ones(1,1000) for $i=(n-1):-1:1 g=g.*u+x(i) end plot(u,g,'-',t,y,'o') 

Now my question is: plot the figure with polynomial fit of polynomial degree 2.
How should i do this?
Thanks

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1 Answer

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So you want to fit y as a function of t, right? Use

p = polyfit(t,y,2);

fit = polyval(p,t);

plot(u,g,'-',t,y,'o',t,fit)

The first line is the built-in polynomial fit function. The number 2 is the degree which you specify and it returns the coefficients of the polynomial in p. Note degree 2 means three coefficients. The second line then evaluates the polynomial using the coefficients in p. And then the third, plots them all together.

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