Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Methods of Estimation
Consider the linear statistical model given by
\(E(Y1) = 3β_1 + β_2 - 2β_3,\)
\(E(Y2) = 2β_1 - β_3 - β_4,\)
\(E(Y3) = β_1 + β_2 - 2β_4\)
with uncorrelated and homoscedastic random error. Which of the following linear parametric functions are estimable?
1
\(3β_1 - β_2 + 2β_3\)
2
\( 4β_1 - 2β_3 + β_4\)
3
\(β_1 + β_2 + β_3\)
4
\(β_1 + β_3 + 2β_4\)