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— Specifically, the normal equations derived from minimizing the sum of squared residuals: [ \sum (Y_i - \hat\beta_1 - \hat\beta_2 X_i)^2 ] Taking partial derivatives with respect to (\hat\beta_1) and (\hat\beta_2) and setting them to zero.
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: Using "out-of-sample" data and residual analysis to ensure the model actually works for future predictions. Resource Links Econometric Models And Economic Forecasts - CLaME