Question

Use MATLAB to fit the to the following data, find the values of a, b, and c using least square method. Use fprintf command to write the values of a, b, c (no plot is needed, just the value of coefficients).Upload your MATLAB code and values of a, b, and c the box bellow.

x = [-0.6 -0.4 -0.2 0 0.2 0.4 0.6]

y = [0.956 -0.013 -1.01 -2.001 -2.99 -3.98 -4.97]

Answer 1

Matlab Code:

x = [-0.6 -0.4 -0.2 0 0.2 0.4 0.6];
y = [0.956 -0.013 -1.01 -2.001 -2.99 -3.98 -4.97];
z=x.^2; w=sin(x); t=exp(x); % define transformed variables in x
A=[z.' w.' t.']; % build system matrix
b=A\y.' % solve the system

Output:

b =

1.0128
-2.9877
-1.9995

which are the required coeffcients a,b,c.

a = 1.0128 , b = -2.9877 and c = -1.9995