Maths for Engineers - 3

Fitting A Curve Of Different Types

Fitting a Curve:

Fitting a curve of Type:

Let the given n points be (x1,y1), (x2,y2),.......(xn,yn). Then the residual for x = xi is

             

By the principle of least squares, we have

  

Fitting a curve of Type:

Let the given n points be (x1,y1), (x2,y2),.......(xn,yn). Then the residual for x = xi is

            

 

By the principle of least squares, we have

Fitting a curve of Type:

By the principle of least squares, we have