Linear Modelinghard
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Given a dataset of size nn, if the variance of the OLS slope estimator β^1\hat{\beta}_1 is Var(β^1)=σ2(XiXˉ)2Var(\hat{\beta}_1) = \frac{\sigma^2}{\sum (X_i - \bar{X})^2}, what is the effect of increasing the dispersion of XX values, (XiXˉ)2\sum (X_i - \bar{X})^2, while keeping σ2\sigma^2 constant?