Chapter 4.2, Problem 2E

Fit the data to the periodic models $F_3(t)=c_1+c_2\cos 2\pi t+c_3\sin 2\pi t$ and $F_4(t)=c_1+c_2\cos 2\pi t+c_3\sin 2\pi t+c_4\cos 4\pi t$ . Find the 2-norm errors ${\Vert e\Vert }_2$ and compare the fit of $F_3$ and $F_4$ .