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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 the model is estimated using weighted least squares (WLS) where weights wi=1Xi2w_i = \frac{1}{X_i^2}wi​=Xi2​1​. If the original OLS estimator β^1\hat{\beta}_1β^​1​ is biased due to heteroscedasticity, what is the primary purpose of this transformation?