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Math Help - Logistic function

  1. #1
    Junior Member
    Joined
    Aug 2009
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    25

    Post Logistic function

    We all know that with an exponential function, we can use it to approximate population. With a logistic function, it simply adds on a carrying capacity to the population (Where the population cannot grow anymore at a certain level):
    L
    ---------
    1 + Ce^(-kt)

    where, L is the carrying capacity
    t - time in years
    and k/C are constants

    I have a question asking me to compare the predicted population using the logistic function and compare it to the governments population prediction method.

    All I could think of is to graph it to show the scatterplot discrepancies and to use percentage error to show how accurate/inaccurate the logistic function would fit into the real population the government has predicted.
    (Of course, I have assumptions to be made on the function)

    Now, I think the question given is really a high-order maths question.. so I thought if algebra can come into this?

    Anyone have any idea to make the answer to this question a higher-order maths level? If its using algebra, please teach me. Cheers!

    Any help would be very much appreciated~
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
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    1,240

    Talking

    What is "the government's population prediction method"?
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  3. #3
    Junior Member
    Joined
    Aug 2009
    Posts
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    Smile

    Good question!
    They use extrapolation involving geometric rates of increase or.. usually they use simple ratios.. / patterns assuming that there're no wars

    or.. 2nd degree / 3rd degree parabolas.. !

    Can you please help me out ? Please~ Haha
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