# Least square

#### sytem_recon

Joined Apr 21, 2009
52
I have an equation of type: y = a1*x^b + a2 * x + e1 where e1 is error in the y experimental data corresponding to x. What type of least square method i should apply to get the values of e1, a1 and a2. What will be the normal equations of least square i should use for getting the reqquired values or what technique i use to get the value of e1 and a1 if i have y, x and a2 known.

Joined Jul 7, 2009
1,583
Your last sentence makes little sense to me. However, if I understand your prior question, you're looking at a simple multiple regression problem in two parameters. If you're learning this regression stuff, you could hardly do better than get a copy of the book by Neter and Wasserman, "Applied Linear Statistical Models".

#### sytem_recon

Joined Apr 21, 2009
52
What type of multiple regression i should use. I have no idea of normal equations for my equation. I have experimental data of x and corresponding y but the y has some error e and the equation of x,y is of type y = a1*x^b + a2*x + e, where e is the error in y. To minimize our e what will be the normal equations or what technique i use to get the minimum value of e.