1. ## Simple Linear Regression

In Simple Linear Regression model

i have the hat matrix
$
h_{ij}=\dfrac{1}{n}+\dfrac{(x_i-\bar{x})(x_j-\bar{x})}{S_{xx}}
$

$
h_{ii}=\dfrac{1}{n}+\dfrac{(x_i-\bar{x})^2}{S_{xx}}
$

what does the behavior of quantities as $x_i$moves farther from $\bar{X}$?