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Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.
3
votes
1
answer
3k
views
Estimate $\beta^{2}$ in linear regression $y_{i}=\beta_{1}+\beta_{2}x_{2,i}+\beta_{3}x_{3,i}...
I have the following standard linear regression model:
$y_{i}=\beta_{1}+\beta_{2}x_{2,i}+\beta_{3}x_{3,i}+\varepsilon_{i}$ where $\varepsilon_{i}$ is normally distributed with mean 0 and variance $\sigma …
1
vote
0
answers
207
views
Approximate known non-linear function using linear regression
$f$ is a known continuous differentiable function.The obvious choice
would be to use non-linear regression to estimate the unknown parameters $\theta$. … But lets say I insist on using
linear regression which have an analytical solution. What choices do I have? I am not interested in
doing inference on the parameters $\theta$. …