Ononot — In a linear regression model through the origin yi = \\beta

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Real-World Applicationshard

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In a linear regression model through the origin $y_i = \\beta x_i + \\epsilon_i$ ( $i = 1, \\dots, n$ ), the error terms have zero mean and non-constant variances $\\text{Var}(\\epsilon_i) = \\sigma^2 x_i^2$ . What is the Weighted Least Squares (WLS) estimator $\\hat{\\beta}_{WLS}$ ?