Curve fitting: seversl curves to one
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I have quite a special demand: I have a curve for number of housholds for the years of 1960-2020 and want to create a relationship of several economic and demographic curves/datapoints. I want to have the combination of those datasets (demographic ones) to fit to the number of households. Is there a sort of fitting tool integrated, combining the different datasets?
Rajani Mishra on 16 Apr 2020
What I understand from your question and following comments is that you have dataset of Household, Population, GDP, Taxes, Mean Income and you want to find the values of a,b,c and d for the equation you have provided.
In that case you can make a combined data set having each data set as a column and use function nlinfit, you can read more about the function here.
refer to the similar question I came across:
Tom Lane on 23 Apr 2020
If you want
nhh = a * (n1^b) * (n2^c) * (n3^d)
consider taking logs
log(nhh) = log(a) + b*log(n1) + c*log(n2) + d*log(n3)
You can use any least squares feature in MATLAB, Statistics and Machine Learning Toolbox, or Optimization Toolbox. Pass in the log values as data. You'd get back estimates of log(a), b, c, and d.
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