(b) Let us consider two other estimators for the slope 3₁: (Z₁ - Z)Y where Z 3 || i=1 (Z₁ - Z)X i=1 Y for all i and 2 1 and || (Z₁ - Z)Y; i=1 Σ(Z - Z)Z i=1 Please indicate whether º

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(b) Let us consider two other estimators for the slope 3₁:
Σ (Z₁ - Z)Y₂
=1
3° =
Σ (Z₁ - Z)X₁
i=1
and 3
(Z₁ - Z)Y;
i=1
n
Σ(Z₁ - Z) Z₁
i=1
Zi. Please indicate whether and 3
where Z₁ = √X, for all i and Z=
n
i=1
are unbiased estimators for 3₁. Clearly show your derivations.
Transcribed Image Text:(b) Let us consider two other estimators for the slope 3₁: Σ (Z₁ - Z)Y₂ =1 3° = Σ (Z₁ - Z)X₁ i=1 and 3 (Z₁ - Z)Y; i=1 n Σ(Z₁ - Z) Z₁ i=1 Zi. Please indicate whether and 3 where Z₁ = √X, for all i and Z= n i=1 are unbiased estimators for 3₁. Clearly show your derivations.
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