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It depends on whether you have any prior idea - possibly on theoretical basis - about the nature of the equation. It could be linear, quadratic, cubic, quartic, etc; or it could be exponential, or logarithmic. or some mixture. If not the task is harder.

If you have no clue as to what the shape should be you need to do a scatter plot to get a better idea.

Once you know what kind of function you are looking for, you can then use the set of values to generate a set of simultaneous equations to find the coefficients for the equation. You may need to solve these equations using numerical methods or iteration.

However, it is useful to note that, provided a reasonable functional relationship exists, you need a polynomial of degree at most n-1 for any set consisting on n values.

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13y ago

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