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Math Help - writing equation of line....hyperbola?

  1. #1
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    writing equation of line....hyperbola?

    I have these points of a line:
    (100, 6.5) (110, 5.9) (120, 5.4) (130, 5.0) (140, 4.6) (150, 4.3) (160, 4.1)
    together, they form a curved line, so the slope is inconsistant
    I need the equation of this line....i think it is a hyperbola, so it may possibly have something to do with the equation y=1/x...thanks
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  2. #2
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    This is more like a parabola. At least, that's what I get. The coordinates match very close. R^2 is .999689. That's very good.

    y=0.0003571429x^{2}-0.132857x+16.207143
    Last edited by galactus; November 24th 2008 at 05:38 AM.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by cortnee View Post
    I have these points of a line:
    (100, 6.5) (110, 5.9) (120, 5.4) (130, 5.0) (140, 4.6) (150, 4.3) (160, 4.1)
    together, they form a curved line, so the slope is inconsistant
    I need the equation of this line....i think it is a hyperbola, so it may possibly have something to do with the equation y=1/x...thanks
    To the naked eye the trend of these points does have a bit of a curve to it. However I don't think there are nearly enough points to make a solid judgment about the kind of curve. We could potentially fit any number of curves to this data: a circle, ellipse, parabola, or hyperbola. But there are an infinite number of other curves that this data could fit also. (With some effort I imagine you could even fit a sine curve to it.)

    Not to mention, if you do decide to fit the data to a hyperbola you will have to make a decision on how you want your asymptotes. I would imagine you would have the capability to pick just about any pair of slant asymptotes you like.

    -Dan
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