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Math Help - Best-fit using points

  1. #1
    Newbie
    Joined
    Nov 2009
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    1

    Best-fit using points

    Say there is the equation y=x squared for all x values 0 to 100 inclusive. A curve is made up of connecting the points, and so if there is an infinite amount of points in x from 0 to 100, the curve would be perfect.

    However, say you can only have 8 points. One at x=0, the other at x=100. How do you select the other points such that it is as close to the original curve as possible? Thanks!
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
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    1,240

    Talking

    Since you are given the formula, pick any x-value you like, plug it into the formula, and find the corresponding y-value.
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