Use Equation (7.34) (page 541) to derive the formula

Chapter 7, Problem 22SE

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Use Equation (7.34) (page 545) to derive the formula

$\sigma_{\widehat{\beta}_{1}}^{2}=\frac{\sigma^{2}}{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}}$.

Equation Transcription:

${\sigma{}}_{{\widehat{\beta{}}}_{1}}^{2}=\frac{{\sigma{}}^{2}}{{\Sigma{}}_{i=1}^{n}({x}_{1}-\bar{x}{)}^{2}}$

Text Transcription:

sigma_hat{beta}_{1}^{2}=frac{sigma^{2}}{sum_{i=1}^{n}(x_{i}-bar{x})^2

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