Modelling Logistics, Polynomials using data.

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To model logistic or polynomial functions using data, first, gather your dataset, as shown with Côte d'Ivoire's population over the years. Next, determine the type of function that best fits your data by plotting it and visually assessing the trend. For logistic functions, use the formula P(t) = L / (1 + e^(-k(t-t0))), where L is the maximum population, k is the growth rate, and t0 is the inflection point. For polynomial functions, employ regression analysis to find the best-fitting polynomial equation. Finally, use software tools or graphing calculators to compute the coefficients and validate the model against your data.
acer567
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Okay, I'm doing my yr 11 Mathematics assignemnt and I need help.

How do you find a Logistic or Polynomial function/equation using data? (in steps please!)
I could just give some example data as... an example, but I think I'll just throw 1 small section of my assignment, use the data or don't:

Côte d'Ivoire (TB infected)
Year 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006
Population 5,899 6,592 7,338 8,199 9,081 10,160 11,446 12,826 14,444 16,689 20,293

I don't have any function or equation to work with, just this data!

I really need help with this, please get back to me ASAP I need sleep!

Cheers,
acer567
 
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