![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](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
![Deriving Beta 1 hat & Beta 2 hat | Basics of Econometrics | Economics | Gujarati | ArthaPoint - YouTube Deriving Beta 1 hat & Beta 2 hat | Basics of Econometrics | Economics | Gujarati | ArthaPoint - YouTube](https://i.ytimg.com/vi/aZhtpIHdnhs/maxresdefault.jpg)
Deriving Beta 1 hat & Beta 2 hat | Basics of Econometrics | Economics | Gujarati | ArthaPoint - YouTube
![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](https://i.stack.imgur.com/kt97B.png)