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Q165Section III (Statistics)165 of 190

Centred regressor values make the least-squares estimators uncorrelated

Suppose Yi=B0+B1(xi−2)+εiY_i=B_0+B_1(x_i-2)+\varepsilon_i, E(εi)=0E(\varepsilon_i)=0, Var⁡(εi)=σ2\operatorname{Var}(\varepsilon_i)=\sigma^2 and where xi=ix_i=i, i=1,2,3i=1,2,3. The Best Linear Unbiased estimators of B0B_0 and B1B_1:

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