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Linear Modelinghard
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In a simple linear regression Yi=β0+β1Xi+ϵiY_i = \beta_0 + \beta_1 X_i + \epsilon_iYi​=β0​+β1​Xi​+ϵi​, suppose Var(ϵi)=σ2Xi2Var(\epsilon_i) = \sigma^2 X_i^2Var(ϵi​)=σ2Xi2​. What is the main implication for the Ordinary Least Squares (OLS) estimator β^1\hat{\beta}_1β^​1​?