Multiple regression with multiple variations

I have the example data as show in bellow,

x1 = [288 298 308 318 328 338 283 293 303 313 323 333 283 293 303 313 323 333];

x2 = [17.42 17.4217.42 17.42 17.42 17.42 17.95 17.95 17.95 17.95 17.95 17.95 17.13 17.13 17.13 17.13 17.13 17.13];

x3 = [1.2111 1.2111 1.2111 1.2111 1.2111 1.2111 1.2684 1.2684 1.2684 1.2684 1.2684 1.2684 0.6207 0.6207 0.6207 0.6207 0.6207 0.6207];

y = [6.785 6.777 6.770 6.762 6.754 6.746 6.793 6.785 6.777 6.768 6.760 6.751 6.786 6.777 6.769 6.760 6.752 6.743];

and, I have the equation for predicting as show in the following,

y = a + bx2 + cx3 + (d + e*x2 + f*x3) / x1) ....(1)

where, a, b, c, d, e, and f are the constant.

How to write the code in matlab for optimizing the constants of Eq. (1)?

[Matt J]

Samir Albadri'c omment move here

Greeting All

If I have the data and I want to get the equation for the Multiple regression with MATLAB code is that possiable?

Thanks

Samir

Answer 1

[Matt J]

e=ones(size(x1));

abcdef = y/[e;x2;x3;1./x1;x2./x1;x3./x1] 

abcdef =

    6.3301    0.0113   -0.0117   88.7676   -0.8784    3.9478