Hi guys, I'm a bit rusty on optimization, but i remember enough to be able to setup some problems that I am facing in my research, and would like to know how to go about solving such problems in general. The equations below may have more variables and be in slightly different forms at times, but ultimately we have measured variables (such as pressure and volume, and ground truth of weight) and need conversion parameters (such as a and b). Please be detailed on a few different methods if possible and the reasons for them. Also, if there is a way that I can see the "significance" of the parameters (statistically) and/or the affect they have on reducing error, that would be stellar! Thanks!(adsbygoogle = window.adsbygoogle || []).push({});

minimize:

[itex]^{m}_{j=1} \sum(^{n}_{i=1} \sum((a + b*[pressure]_{ij})*[volume]_{ij}) - [weight]_{j})^{2})[/itex]

and

minimize

[itex]^{m}_{j=1} \sum(^{n}_{i=1} \sum(a*[pressure]_{ij} + b*[volume]_{ij}) - [weight]_{j})^{2})[/itex]

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# Optimization to find parameters?

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