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 $\beta _ { 1 }$ .

Question

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In the context of simple linear regression, the sample y-intercept $b_0$ and the sample slope coefficient $b_1$ are indeed unbiased estimators of the population regression parameters $\beta_0$ and $\beta_1$, respectively. This means that on average, across many samples, $b_0$ and $b_1$ will equal $\beta_0$ and $\beta_1$.

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

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