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![statistics - How to derive $SE(\hat{\beta_0}+\hat{\beta_1}x_0)=\hat{\sigma}\bigg[\frac{1}{n}+\frac{(x_0-\bar{x})^2}{(n-1)s^2_x}\bigg]^\frac{1}{2}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/5seSk.png "statistics - How to derive $SE(\hat{\beta_0}+\hat{\beta_1}x_0)=\hat{\sigma}\bigg[\frac{1}{n}+\frac{(x_0-\bar{x})^2}{(n-1)s^2_x}\bigg]^\frac{1}{2}$ - Mathematics Stack Exchange")
statistics - How to derive $SE(\hat{\beta_0}+\hat{\beta_1}x_0)=\hat{\sigma}\bigg[\frac{1}{n}+\frac{(x_0-\bar{x})^2}{(n-1)s^2_x}\bigg]^\frac{1}{2}$ - Mathematics Stack Exchange
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![Statistics] OLS: Variance of Beta-hat 1 Proof : r/MathHelp](https://upload.wikimedia.org/math/6/2/9/629aa57cee8c65bce301b48f10c7cec8.png "Statistics] OLS: Variance of Beta-hat 1 Proof : r/MathHelp")
Statistics] OLS: Variance of Beta-hat 1 Proof : r/MathHelp
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