Getting Power Function given points.

[krnhseya]

Homework Statement

I have 4 points (x and y values) and I was wondering how I can make an equation out of it.
It looks like a decaying function.

Homework Equations

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The Attempt at a Solution

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I absolutely have no idea how to approach this...Sorry.

 

[quantumdude]

That's quite an open-ended problem you've got there. You could fit polynomials of degrees 1, 2, 3, or 4 to your data set. And who says it has to be a polynomial? Why not an exponential? My advice would be to pick some functional form, and then try to make a best fit.

 

[HallsofIvy]

Since you refer to a "power function" and "decaying function" I would guess that you are looking for a function of the for y= ab^x. Two values of (x,y) will give two equations to solve for a and b.