Applied Calculus Class Project: EXCEL Workbook for Logistic and Exponential RegressionYou can find an EXCEL file here that can be used to generate the logistic model for the United States population size (from the Census 1790-1940). I used Solver to obtain the logistic model. I showed how to use Solver to obtain an exponential model in a previous posting. In that posting, I used Solver to find values of two constants,a and b, for f(x)=aebx so that the sum (or average) of square differences is minimized. For the logistic model, you need to find constants a, b, and c for g(x)=c/(1+ae-bx) so that the average (or sum) of the square differences between the raw data and g(x) is minimized. At some point in the future, I'll post a detailed tutorial on how to do this. In the class project, we used an exponential model based on data from 1790-1860. If you want to see an EXCEL file that additionally considers an exponential model based on data from 1790-1940, click here. Posted: Friday - December 08, 2006 at 06:13 AM |
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Total entries in this category: Published On: May 23, 2008 09:10 AM |