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Linear Modelinghard
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In a simple linear regression model Yi=β0+β1Xi+ϵiY_i = \beta_0 + \beta_1 X_i + \epsilon_iYi​=β0​+β1​Xi​+ϵi​, suppose the error variance is heteroscedastic, specifically Var(ϵi)=σ2Xi2Var(\epsilon_i) = \sigma^2 X_i^2Var(ϵi​)=σ2Xi2​. If we use Ordinary Least Squares (OLS) to estimate β1\beta_1β1​, which of the following is true regarding the estimator β^1\hat{\beta}_1β^​1​?