Fitting a Curve of Different Types
Fitting a Curve of Different Types:
Fitting a Curve of Type Y = AX BX2
Let (xi,yi), i = 1,2.......,n be the n - sets of given values. Then the residual at x = xi is given by
Introducing quantity U such that,
By the principle of least squares, U is minimum, Then
Solving the above equation we get a and b.
Fitting a Curve of Type XY = A BX
Let the given n point be (x1,y1) , (x2,y2).........(xn,yn). Rearranging the given equation, we have
Then the residual at x = xi is
Introducing quantity u such a way that,
By the priciple of least square, we have
From the above equation we get the value of a and b.