Fitting Nonlinear Data to a Linear Equation: Manual Calculation Process

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SUMMARY

The discussion focuses on the manual calculation process for fitting three sets of data points to a linear equation, despite the nonlinear nature of the data in relation to x. Participants clarify that the equation is linear in terms of the unknowns A, B, and C, allowing for straightforward calculations. The key steps involve substituting the data pairs into the equation and solving the resulting linear system. This approach is essential for achieving maximum marks in the experiment without the use of software tools.

PREREQUISITES
  • Understanding of linear equations and systems of equations
  • Familiarity with curve fitting concepts
  • Basic algebraic manipulation skills
  • Knowledge of data extrapolation techniques
NEXT STEPS
  • Study the process of solving linear systems using substitution or elimination methods
  • Learn about curve fitting techniques and their applications in data analysis
  • Explore manual methods for extrapolating data from linear equations
  • Review examples of fitting data to linear equations in scientific experiments
USEFUL FOR

Students conducting experiments in data analysis, researchers involved in curve fitting, and anyone interested in manual calculation techniques for linear equations.

Doctor_Doom
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Hey guys I'm completing an experiment and I'm required to extrapolate data by performing nonlinear curve fitting.

I have 3 sets of data: (x1, y1); (x2, y2); (x3, y3).

I'm required to fit the above mentioned sets of data to the following equation :

[PLAIN]http://img245.imageshack.us/img245/8121/37594905.png

In order to gain maximum marks manual operations would be required. Thus I would prefer if someone could provide me with an initial hint on how to start a manual calculation process.

I'm assuming that performing the calculations manually for the curve fitting would not be a huge task due to the fact that there are only 3 sets of data points.

So I'm hoping someone could provide me with the starting hint on how to perform the manual (NO SOFTWARE USED) calculations for the curve fitting of the above equation.
 
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Just plug in your data pairs for x and y, and solve the linear system of this three equations for A, B, C.

ehild
 
Additionally, the problem isn't nonlinear. The equation is linear in the unknowns A, B, C as implied in ehild's reply. It is nonlinear in x, but the x's are known.
 

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