maverik
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I am trying to use the 'Regression Wizard' in SigmaPlot to obtain a best-fit curve to a data set of ~15 data points that map out a spiral. None of the equation categories given in the regression wizard seem to work (i.e. polynomial, exponential, logarithm, hyperbola etc. etc.) and I am unsure how to set a user defined equation to the data set.
It's a logarithmic spiral so I'm assuming the eqn in polar co-ords should be;
r(theta)=a*exp(b*theta)
parametrically it should be;
x=r*cos(theta)=a*cos(theta)*exp(b*theta)
y=r*sin(theta)=a*sin(theta)*exp(b*theta)
and in cartesian co-ords;
x^2+y^2=exp((theta)*cot(a))
Any advice on SigmaPlot or plotting spirals in general will be greatly appreciated!
It's a logarithmic spiral so I'm assuming the eqn in polar co-ords should be;
r(theta)=a*exp(b*theta)
parametrically it should be;
x=r*cos(theta)=a*cos(theta)*exp(b*theta)
y=r*sin(theta)=a*sin(theta)*exp(b*theta)
and in cartesian co-ords;
x^2+y^2=exp((theta)*cot(a))
Any advice on SigmaPlot or plotting spirals in general will be greatly appreciated!