# I need an equation for some data points.

My data points are (97.57,6.14), (90.54,7.03), (81.99,8.55), (71.47,10.52), (56.5,14.97) and (31.88,24.62). I'm trying to find the nonlinear equation that describes these points, but I'm having trouble. Can anyone come up with it.

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wolframalpha.com/input/… – Amzoti Jul 14 '13 at 3:49
There's no such thing as "the" equation fitting the data. Lagrange interpolation will give you "a" function fitting the data; cubic splines will give you another; there are other methods; which one's the best depends on a lot of facts that you haven't told us (and might not know). – Gerry Myerson Jul 14 '13 at 3:53
When trying to fit a mathematical model to data (by adjustment of parameters), the choice of mathematical model (your "nonlinear equation") is usually motivated by an understanding of the source of the data (which you have not shared). For example, your second coordinates appear to increase with decreasing first coordinates. Real world applications entail some apriori explanatory framework (theory) which allows us to assess the meaning of such a correlation and then choose a compatible numeric formulation. – hardmath Jul 14 '13 at 4:09