How to solve vector equation y = mx +c

I have 5 linear equations.

3.2790m + n = 661

1.9704m + n = 401

0.9757m + n = 201

0.4835m + n = 101

0.2425m + n = 51

I know to solve by hand, I only need two of these equations. But if I solve using different set of two equations, i get close values for m and n but still different. So i need to use all 5 equations to calibrate and get the best values for m and n. I dont have sys math tool box. So is to possible to write this as a vector m*[3.2790 1.9704 0.9757 0.4835 0.2425] + n*[1 1 1 1 1] = [661 401 201 101 51] and solve this vector equation in matlab and get the best solution for m and n. How can I do that? Thank you.

Answer 1

[Paul]

% A*[m;n] = b
A = [3.2790 1;
     1.9704 1;
     0.9757 1;
     0.4835 1;
     0.2425 1];
b = [661 401 201 101 51].';

See @doc:mldivide for details (mldivide)

z = A\b;
m = z(1)

m = 200.7464

n = z(2)

n = 3.9183