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Math Help - need help modeling data

  1. #1
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    need help modeling data

    I need help on a modeling project in which i have to create an function that models a list of data given the directions are as follows

    Below is a numeric reresentation of a mending broken bone over time t, where M measures the percent mended and t is time in months. The goal of this project is to develop a symbolic representation of the funtion that describes the percent mended at time t; that is, a mathematical model of a mending bone. You may use any arithmetic combination of funtions studied in this chapter (current chapters logarithms) or previous chapters to develop your symbolic representation of the function.

    t: 0, 1, 2, 3, 4, 5, 6, 8
    M:0,30,48,60,70,78,85,95

    please get back to me on this asap also wondering what a reasonable problem domain for this data is
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  2. #2
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    Quote Originally Posted by needinhelp View Post
    I need help on a modeling project in which i have to create an function that models a list of data given the directions are as follows

    Below is a numeric reresentation of a mending broken bone over time t, where M measures the percent mended and t is time in months. The goal of this project is to develop a symbolic representation of the funtion that describes the percent mended at time t; that is, a mathematical model of a mending bone. You may use any arithmetic combination of funtions studied in this chapter (current chapters logarithms) or previous chapters to develop your symbolic representation of the function.

    t: 0, 1, 2, 3, 4, 5, 6, 8
    M:0,30,48,60,70,78,85,95

    please get back to me on this asap also wondering what a reasonable problem domain for this data is
    I graphed your data and it looks logarithmic, you should consider the model

    M = A\times ln(t-B)+C

    I have attached a sheet that will be helpful.
    Attached Files Attached Files
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  3. #3
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    M = 100(1 - e^{-kt})

    where M is the percentage and k is a positive constant
    Last edited by skeeter; May 27th 2009 at 06:01 AM. Reason: fix equation
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  4. #4
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    constant?

    any idea what that constant might be?
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  5. #5
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    Quote Originally Posted by needinhelp View Post
    any idea what that constant might be?
    yes ... but that's what you need to find. experiment a bit with your graphing calculator.
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  6. #6
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    calculator

    ok how would i go about inputing that equation in my calculator
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  7. #7
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    let me make a correction ...

    M = 100(1 - e^{-kt})

    where M is the percentage as a whole number and k is a positive constant.
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