run_hw6.m

clear
clc
run('problem_1_data.m')

%test the first data set 
Z1=[xa.^0,xa,xa.^-1];

[a, fx, r2] = least_squares(Z1,ya)

%plots the data and the line of best fit
subplot(2,2,1)
plot(xa,ya,'o');
hold on
plot(xa,fx);
Z2=[xb.^0,xb,xb.^2,xb.^3];
hold off

%tests te second data set
[a, fx, r2] = least_squares(Z2,yb)

%plots the data and the line of best fit
subplot(2,2,2)
plot(xb,yb,'o');
hold on
plot(xb,fx);

hold off

%tests the third data set
Z3=[exp(-1.5*xc),exp(-.3*xc),exp(-.05*xc)];


%plots the data and the line of best fit
[a, fx, r2] = least_squares(Z3,yc)
subplot(2,2,3)
plot(xc,yc,'o');
hold on
plot(xc,fx);
hold off