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Topic: Which interpolation?
Replies: 4   Last Post: Dec 10, 2012 12:22 PM

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Cristiano

Posts: 47
Registered: 12/7/12
Re: Which interpolation?
Posted: Dec 8, 2012 6:57 AM
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On 07/12/2012 21:48, Dave Dodson wrote:
> The data presented suggest that the function has a horizontal asymptote at y = 1.

You're right.

> If you expect that this is the case, you should try a model that has such an asymptote. E.g., y(x) = 1 + a/x + b/x^2 + ... or y(x) = A*exp(-a*x) + B*exp(-b*x) + ....

I use a function similar to the former:
y(x)= a + b / sqrt(x) + (c + (d + e / x) / x) / x
but the question is: should I use that function (which doesn't pass over
the calculated points and the point-to-point error is much bigger than
the confidence interval 2.5e-6 used in the simulation) or should I use a
spline?

I'm asking that because I calculated the points using a narrow
confidence interval, so the risk to miss the true y value should be
small (obviously I don't know anything about the true y value).

Cristiano




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