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Math Help - Quartic Regression

  1. #1
    Newbie
    Joined
    Nov 2009
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    8

    Quartic Regression

    2 16.4
    3 15.7
    4 15.3
    5 15.2
    6 15.21
    7 15.4
    8 15.8
    9 16.3
    10 16.8
    11 17.5
    12 18.18
    13 18.7
    14 19.36
    15 19.88
    16 20.4
    17 20.85
    18 21.22
    19 21.6
    20 21.65

    I was told find the line of best fit for the above data chart, now I know it is a Quartic function ax^4+bx^3+cx^2+dx+e, and I know how to get the variables a,b,c,d, and e on my calculator but I have no idea how to algerbraically could Thanks.
    Last edited by Bzaher; March 27th 2010 at 01:20 PM.
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  2. #2
    MHF Contributor
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    Can you get your calculator to find the inverse of a 5x5 matrix? That's the hardest part. You need five normal equations. Here's the first two...

    e\cdot 19 + d\cdot\sum x + c\cdot\sum x^{2} + b\cdot\sum x^{3} + a\cdot\sum x^{4} = \sum y


    e\cdot \sum x + d\cdot\sum x^{2} + c\cdot\sum x^{3} + b\cdot\sum x^{4} + a\cdot\sum x^{5} = \sum yx

    Let's see what you get.
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  3. #3
    Newbie
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    No, I don't know how to get the inverse of a 5x5 matrix and do you think you could explain how this equation gets the variables, sorry it looks a bit foreign to me.
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