Use the Given Set of Points to
A) $\sum ( x - \bar { x } ) ^ { 2 }$

Use the given set of points to
a). Compute b₁.
b). Compute the residual standard deviation s_e.
c). Compute the sum of squares for x, $\sum ( x - \bar { x } ) ^ { 2 }$
d). Compute the standard error of b₁, s_b.
e). Find the critical value for a 95% confidence interval for $\beta_1$
f). Compute the margin of error for a 95% confidence interval for $\beta_1$
g). Construct a 95% confidence interval for $\beta _ { 1 }$
h). Test the null hypothesis $H _ { 0 } : \beta _ { 1 } = 0$ versus $H _ { 1 } : \beta _ { 1 } \neq 0$ Use the $a$ =0.05 level of significance.

$\begin{array} { c | c c c c c c c c } x & 8 & 11 & 15 & 13 & 6 & 8 & 12 & 13 \\\hline y & 23 & 27 & 37 & 33 & 17 & 20 & 29 & 36\end{array}$