Use the Given Set of Points to
A) $b _ { 0 }$

Use the given set of points to
a). Compute $b _ { 0 }$ and $b _ { 1 }$ .
b). Compute the predicted value $\hat { y }$ for the given value of x.
c). Compute the residual standard deviation $s _ { \mathrm { e } }$
d). Compute the sum of squares for $x , \quad \sum ( x - \bar { x } ) ^ { 2 }$
e). Find the critical value for a 95% confidence or prediction interval.
f). Construct a 95% confidence interval for the mean response for the given value of x.
g). Construct a 95% prediction interval for an individual response for the given value of x.
$\begin{array} { l | l l l l l l } x & 12 & 10 & 19 & 15 & 11 & 15 \\\hline y & 31 & 28 & 46 & 39 & 31 & 37\end{array} \quad x = 16$