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# resolving equation expressing dataset in matrix

## resolving equation expressing dataset in matrix

(OP)
Using the following setup i can interpolate values related to a two-column matrix:
X:=data(0) y:=data(1)
S:=cspline(X,Y)
fit(x):=interp(S,X,Y,x)
fit("value") = "returned value"

Is there any vay that i can get mathcad to return an equation expressing the dataset in my matrix ?

### RE: resolving equation expressing dataset in matrix

Mathcad can fit a function by regression- exponential, log, sin, power, ln, via genfit(), expfit(), logfit(), etc - see the user's guide for examples.

Bung
Life is non-linear...

### RE: resolving equation expressing dataset in matrix

(OP)

The eksamples work but they don't give me an equation that I can use in another software to calculate y-values from a given x-value...?

Is there a way to get Mathcad to return the exact equation instead of general formulas and functions ?

(I want to get an equation that I can use in an HMI-system to calculate condensationtemp for gas at a meassured preassure)

### RE: resolving equation expressing dataset in matrix

I'm confused by what you're asking.  Splines, by definition, are NOT closed-form equations.  If you're resorting to splines, the implication is that there is no general equation.

Moreover, if you have "data", the implication is that the data is non-exact, due to measurement noise, etc., which means that splines are not the correct approach, since the purpose of the spline is to ensure that the generated curve tries to go through each data point, thus incorporating your process noise into the interpolation.

It's your data and process, so ONLY YOU can know what equation best fits the data.  There are a number of functions that will tell the best fit to a particular equation that you provide, e.g., linfit and regress.  These are described in the Mathcad help section on Curve fitting.

TTFN

### RE: resolving equation expressing dataset in matrix

The regression functions do give you the parameters of an equation that is a 'best fit' to the data points you supply.  Mathcad may not write the equation down explicitly, but knowing the parameters that Mathcad calculates and the general form of the function used (see the manual), you can do it for yourself.

Of course, if your data does not conform to the type of curve you are trying to fit it to, you will get funny numbers - GIGO. Eg trying to fit data from an exponential function using logfit() is not productive.  If you don't know what your data is, you can't expect any software to tell you.  Mathcad will only do what you tell it to, and if you want it to fit an inappropriate function to your data it will do just that.

Bung
Life is non-linear...

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