In fitting the data with linera and nonlinera isotherms what is the exact difference which makes linear regression more favorable,most of the papers use linear form of the isotherm.
First plot the data (scatter diagram)and see the nature of the data. Accordingly fitting should be done. Please check the paper "Ind. Eng. Chem. Process Des. Dev. 1984, 23, 711-716 71 1
Correlation and Prediction of Adsorption Isotherm Data for Pure and Mixed Gases@"
Dear Dr Dilip C. Nath
Thank you very much for your concern. As you mentioned I had plotted the data, it best correlates with the nonlinear form of the models but when the same data is plotted in linearized form it is not fitted properly. I am confused about that the R2 correlation coefficient values are very different in the non-linear and linear form of the same model. Is this common?
regards
There are so many types of non-linear form. Try step by step fitting polynomial curve --e.g. Linear, quadratic, cubic and so on. Apply test then proceed for higher degree. One such method is Orthogonal Polynomial fitting.
I agree with Dilip , you can use a scatter plot to display the relationship between the variables under study. If the relationship was not linear may be you can transform it to linear by doing the suitable transformations on the data set.
See this link please:
http://blog.minitab.com/blog/adventures-in-statistics/what-is-the-difference-between-linear-and-nonlinear-equations-in-regression-analysis
Yes, you can transform the data to make it linear but it is better to it again.
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