Consider the simple linear model Y, = Bo + B1x; + €j, where e;~N(0,0?); i = 1, 2, ., n. 1. Show that a) Y;~IIN(Bo + B1xi, o?) %3D ... b) (i) L = L(Bo, Pai y) = (2no?)žexp|- LVi – Bo + Bixi)*| (ii) ô?...

Consider the simple linear model Y, = Bo + B1x; + €j, where e;~N(0,0?); i = 1, 2, ., n.<br>1. Show that<br>a) Y;~IIN(Bo + B1xi, o?)<br>%3D<br>...<br>b) (i) L = L(Bo, Pai y) = (2no?)žexp|- LVi – Bo + Bixi)*|<br>(ii) ô? = (Sx - BiSy)<br>c) Cov(Bo, Bi) =<br>d) Bi is an unbiased estimator of ß1 and that Var(B1) = o =<br>%3D<br>(Show all results used as part of your answer)<br>%3D<br>Sxx<br>%3D<br>Sxx<br>

Extracted text: Consider the simple linear model Y, = Bo + B1x; + €j, where e;~N(0,0?); i = 1, 2, ., n. 1. Show that a) Y;~IIN(Bo + B1xi, o?) %3D ... b) (i) L = L(Bo, Pai y) = (2no?)žexp|- LVi – Bo + Bixi)*| (ii) ô? = (Sx - BiSy) c) Cov(Bo, Bi) = d) Bi is an unbiased estimator of ß1 and that Var(B1) = o = %3D (Show all results used as part of your answer) %3D Sxx %3D Sxx

Jun 02, 2022

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Consider the simple linear model Y, = Bo + B1x; + €j, where e;~N(0,0?); i = 1, 2, ., n. 1. Show that a) Y;~IIN(Bo + B1xi, o?) %3D ... b) (i) L = L(Bo, Pai y) = (2no?)žexp|- LVi – Bo + Bixi)*| (ii) ô?...

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