Statisticians have shown that the sample y-intercept $b _ { 0 }$ and sample slope coefficient $b _ { 1 }$ are unbiased estimators of the population regression parameters $\beta _ { 0 }$ and $\beta _ { 1 }$ .

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The sample y-intercept $b_0$ and sample slope $b_1$ are unbiased estimators of the population parameters $\beta_0$ and $\beta_1$ under the assumption that the linear regression model is correctly specified and the errors have zero mean.

Statisticians Have Shown That the Sample Y-Intercept b0b _ { 0 }b0​

Statisticians Have Shown That the Sample Y-Intercept $b _ { 0 }$