Show that the OLS estimate (hat{beta}_{1}) is unbiased for the model (Y_{i}=beta_{0}+beta_{1} X_{i}+) (epsilon_{mathrm{i}})

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Show that the OLS estimate \(\hat{\beta}_{1}\) is unbiased for the model \(Y_{i}=\beta_{0}+\beta_{1} X_{i}+\) \(\epsilon_{\mathrm{i}}\)

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