Exercise 7.6 - MLE for simple linear regression

Answers

For (7.99), we plug the $D = 1$ assumption into (7.98) so:

w_{1}^{MLE} = \frac{\sum_{n = 1}^{N} (y_{n} - ȳ) (x_{n} - \bar{x})}{\sum_{n = 1}^{N} {(x_{n} - \bar{x})}^{2}} .

Recall that $\bar{x} = \frac{1}{N} \sum_{n = 1}^{N} x_{n}$ and that for $ȳ$ , so (7.99) is proven.

For (7.100), use (7.97) directly.

solour_lfq

2021-03-24 13:42