For i=1,2,...,n consider y_i=B_0+B_1*x_i+u_i
Assumptions SLR.1 to SLR.5 hold, x_1<>0, x_1<>x_2 and x_1+x_2<>0.
Consider two linear estimators of B_1 given by:
/ x_1*y_1+x_2*y_2 \
Bhat_1=( -------------------- )
\ x_1^2+x_2^2 /
and
/ y_1 y_2 \
B_1^*=( -------- + --------- )
\ x_1-x_2 x_2-x_1 /
NOTE: (for the second estimator B_1^*, the "*" is an asterisk not the
multiplication sign)
i) Can you please show that Bhat_1 is a biased estimator if B_1
ii) and also show that B_1^* is an unbiased estimator of B_1
Thankyou so much for your help!!
.
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