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Linear Models and Multivariate practice

practice · no clock1 / 2
Q1Part B+3 / −0.75

Consider the simple linear regression model Yi=βxi+εi,i=1,…,nY_{i} = \beta{}x_{i} + \varepsilon_{i}, i = 1, \dots, n, where E(εi)=0,Cov(εi,εk)=0E(\varepsilon_{i}) = 0, Cov(\varepsilon_{i}, \varepsilon_{k}) = 0 for i ≠ k and Var(εi)=xi2σ2Var(\varepsilon_{i}) = x_{i}^{2}\sigma^{2}. The best linear unbiased estimator of β\beta is

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