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???
03/23/04 17:17
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#67299 - RE: Linearisation using curve fitting
Responding to: ???'s previous message
Raghunathan,

A polynomial f(x) of order n will exhibit n-1 inversions wherein df/dx = 0. In other words, it will exhibit n-1 "humps" or "valleys" wherein the curve changes direction. His data looks pretty linear, but his error is clearly a 2nd order polynomial (in the domain of x = [0,...,600]).

Nagarajan,

Try doing a 2nd order polynomial fit of ERR CT (Y) as a function of ACTUAL CT (X). I just did one manually (graphing the ERR CT and a fitted function F(X) together). By playing with the A0, A1, and A2 variables, for the function F(X) = A0 + A1*X + A2*X^2 (X = ACTUAL CT), I got it to A0 = 19, A1 = 9.6E-4, and A2 = 8.2E-10 fairly quickly. Plug it into your spreadsheet, plot the two functions together and twiddle the A values until you get it fitted as nicely as you want.

List of 32 messages in thread
TopicAuthorDate
Linearisation using curve fitting            01/01/70 00:00      
   RE: Linearisation using curve fitting            01/01/70 00:00      
   RE: Linearisation using curve fitting            01/01/70 00:00      
      RE: Linearisation using curve fitting            01/01/70 00:00      
      RE: Linearisation using curve fitting            01/01/70 00:00      
         RE: Linearisation using curve fitting            01/01/70 00:00      
   RE: Linearisation using curve fitting            01/01/70 00:00      
      RE: Linearisation using curve fitting            01/01/70 00:00      
         RE: Linearisation using curve fitting            01/01/70 00:00      
            RE: Linearisation using curve fitting            01/01/70 00:00      
               RE: Linearisation using curve fitting            01/01/70 00:00      
                  RE: Linearisation using curve fitting            01/01/70 00:00      
                     RE: Linearisation using curve fitting            01/01/70 00:00      
                        RE: Linearisation using curve fitting            01/01/70 00:00      
                           Correction: Erik, not Eric!            01/01/70 00:00      
                           Curve fitting Kai            01/01/70 00:00      
                              RE: Curve fitting Kai            01/01/70 00:00      
                                 RE: Curve fitting Kai            01/01/70 00:00      
                                 RE: Curve fitting Kai            01/01/70 00:00      
                        RE: Linearisation using curve fitting            01/01/70 00:00      
                           RE: Linearisation using curve fitting            01/01/70 00:00      
   RE: Linearisation using curve fitting            01/01/70 00:00      
      RE: Linearisation using curve fitting            01/01/70 00:00      
         RE: Linearisation using curve fitting            01/01/70 00:00      
         RE: Linearisation using curve fitting            01/01/70 00:00      
            RE: Linearisation using curve fitting            01/01/70 00:00      
               RE: Linearisation using curve fitting            01/01/70 00:00      
                  RE: Linearisation using curve fitting            01/01/70 00:00      
                     RE: Linearisation using curve fitting            01/01/70 00:00      
                        RE: Linearisation using curve fitting            01/01/70 00:00      
      RE: Linearisation using curve fitting            01/01/70 00:00      
   RE: Linearisation using curve fitting            01/01/70 00:00      

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