May 2012
Beginner
768 pages
23h 17m
English
Content preview from Basic Principles and Calculations in Chemical Engineering
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Appendix N. Fitting Functions to Data
Frequently, you would like to estimate the best values of the coefficients in an equation from experimental data. The equation might be a theoretical law or just a polynomial, but the procedure is the same. Let y be the dependent variable in the equation, bi be the coefficients in the equation, and xi be the independent variables in the equation so that the model is of the form
Let ∊ represent the error between the observation of y, Y, and the predicted value of y using the values of xi and the estimated values of the coefficients bi:
The classical way to get the best estimates of the coefficients is by least ...
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