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 Post subject: Need help with Q's on Linear Models
PostPosted: Sat, 11 Aug 2012 10:50:42 UTC 
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I have attempted the questions above, I just need some clarification on them. The question states that Bo is a known intercept parameter. Does it mean it could be any intercept parameter or an intercept parameter attained by the least squares method ( that I learned in my lectures.)


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 Post subject: Re: Need help with Q's on Linear Models
PostPosted: Sat, 11 Aug 2012 15:57:37 UTC 
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chrishello wrote:
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I have attempted the questions above, I just need some clarification on them. The question states that Bo is a known intercept parameter. Does it mean it could be any intercept parameter or an intercept parameter attained by the least squares method ( that I learned in my lectures.)


Obviously \epsilon_i being the symmetric 2-valued distribution \epsilon_i=\pm\sigma gives a different likelihood distribution from the Gaussian distributed \epsilon_i, so there isn't such a thing called "the maximum likelihood estimator of \beta_1" and thus question (a) is nonsense.

\beta_0 being a known constant means you can't fiddle with it to fit the data, so it isn't really a parameter in the regression.

_________________
\begin{aligned}
Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\
Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\
Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\
Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\
Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\
Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4
\end{aligned}


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 Post subject: Re: Need help with Q's on Linear Models
PostPosted: Sun, 12 Aug 2012 00:25:59 UTC 
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Even a simple clarification of the q's can be of sooo much help.

I agree that it is an extremely ambiguous question but from my lectures and thinking about the below q's looks like ill treat bo as the known intercept parameter learnt in lectures.

Thanks from OZ. :)


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