MATLAB find coefficients for a specific equation?

I was given the equation:

Ft=A0+(A1*t)+(A2*cos(t*w0))+(B1*sin(t*w0));
w0=(2*pi/365);

I am given a vector of 900 points for t,Ft coordinates and need to find the coefficients to give me the best fit for the given equation.

How would I do that?

[Image Analyst]

Please attach your t and Ft data in a .mat file. You might try using fitnlm() in the stats toolbox.

[John D'Errico]

What do you have?

Stats toolbox? REGRESS will be sufficient, since w0 is known.

Curve fitting toolbox? FIT will suffice.

No toolbox? Backslash, or lsqr, Lots of options.

So depending on what you have there are lots of solutions. But before we can offer the best advise, we need to know what you have.

[Michelle Babak]

I downloaded curve fitting toolbox and tried to use it:

t=Time1-22232; 
w0=(2*pi/365); 
X=fittype('A0+(A1*Time)+(A2*cos(Time*w0))+(B1*sin(Time*w0))','coeff',{'A0','A1','B1','B2'});
fit(t,Thick,X)

Time, Thick are the coordinates I am given

It still didnt work.

[Walter Roberson]

 X = fittype(@(A0,A1,A2,B1,Time) A0+(A1*Time)+(A2*cos(Time*w0))+(B1*sin(Time*w0)), 'Independent', 'Time');

[Michelle Babak]

And then how do you use the fit() function with that?

[Walter Roberson]

fit_results = fit(t(:), Thick(:), X)

You might want to add a 'Startpoint' option with an initial guess