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Introduction Meaning and Scope

Quick practice

Question 1 of 5

In the Gauss-Markov model $\left(\mathrm{Y}, \mathrm{A} \theta, \sigma^{2}\right)$ with $\mathrm{A}=\left(\begin{array}{lll} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{array}\right)$ what is a necessary and sufficient condition for estimability of $\mathrm{l}_{2} \mathrm{\theta}_{2}+\mathrm{l}_{2} \mathrm{\theta}_{2}+\mathrm{l}_{3} \theta_{3} ?$

A

$\mathrm{l}_{1}+2 \mathrm{l}_{2}=\mathrm{l}_{3}$

B

$\mathrm{l}_{2}-\mathrm{l}_{3}=\mathrm{l}_{1}$

C

$\mathrm{l}_{1}+\mathrm{l}_{2}=\mathrm{l}_{3}$

D

$\mathrm{l}_{1}-\mathrm{l}_{2}=\mathrm{l}_{3}$