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In: Statistics and Probability

In a simple linear regression model yi = β0 + β1xi + εi with the usual...

In a simple linear regression model yi = β0 + β1xi + εi with the usual assumptions show algebraically that the least squares estimator β̂0 = b0 of the intercept has mean β0 and variance σ2[(1/n) + x̄2 / Sxx].

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