Hi all,
This is my first post on this forum. My area of studies is electronics, and I came across a situation where I have some (6) measured values y, a model, and need to find some (2) values β for a best fit of the model to the measured values. The model can be described as follows:
y = β X
so:
y is a 6dimensional vector, with known, measured values
X a 2x6 matrix with fixed values
β a. 2dimensional vector, for which I want to find the best fitting values.
(see attached image)
My statistics skills are very rusty, but to me it looks like a very simple linear regression problem, only in higher dimensions.
What method should I use to solve this? Are there any online calculators for this?
I have done some investigations myself, and I think it is a multivariate regression problem, but then I get stuck in a bewildering number of different methods. I may, and probably will, be wrong on this however.
For the curious, the area of interest is of signal strengths of mixing products in a JFET mixer.
Thanks, ciao,
Koen
This is my first post on this forum. My area of studies is electronics, and I came across a situation where I have some (6) measured values y, a model, and need to find some (2) values β for a best fit of the model to the measured values. The model can be described as follows:
y = β X
so:
y is a 6dimensional vector, with known, measured values
X a 2x6 matrix with fixed values
β a. 2dimensional vector, for which I want to find the best fitting values.
(see attached image)
My statistics skills are very rusty, but to me it looks like a very simple linear regression problem, only in higher dimensions.
What method should I use to solve this? Are there any online calculators for this?
I have done some investigations myself, and I think it is a multivariate regression problem, but then I get stuck in a bewildering number of different methods. I may, and probably will, be wrong on this however.
For the curious, the area of interest is of signal strengths of mixing products in a JFET mixer.
Thanks, ciao,
Koen
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