August 2022
Intermediate to advanced
1024 pages
26h 27m
English
book
Basic Principles and Calculations in Chemical Engineering, 9th Edition
by James B. Riggs, David M. Himmelblau
Content preview from Basic Principles and Calculations in Chemical Engineering, 9th Edition
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Appendix MFitting 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
(M.1)
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:
(M.2)
The classical way to get the best estimates of the coefficients is by least squares, that is, by minimizing the sum of the squares of ...
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