Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Statistics & Exploratory Data Analysis Methods of Estimation
Consider the complex linear model given below, with uncorrelated and homoscedastic random error:
E(Y1) = 3β1 + 2β2 − β3 + β4, E(Y2) = β1 − 2β3 + β4 + β5, E(Y3) = 2β2 - β3 + β4 - β5, E(Y4) = -β1 + β2 + 2β3 − 3β4 + 2β5.
Which of the following linear parametric functions are estimable?
1
β2 = 0.5(E(Y1) - 3β1 + β3 - β4)
2
β1 = E(Y2) + 2β3 - β4 + β5
3
β5 = E(Y4) + β1 - β2 - 2β3 + 3β4
4
β3 = 1/3(E(Y1) - 3β1 - 2β2 + β4)
5
Question Not Attempted