Use the Given Set of Points to Construct a $\beta _ { 1 }$

Multiple Choice

Use the given set of points to construct a 95% confidence interval for $\beta _ { 1 }$
$\begin{array} { c | c c c c c c c c } x & 8 & 6 & 5 & 9 & 6 & 12 & 14 & 11 \\\hline y & 21 & 18 & 15 & 21 & 21 & 28 & 28 & 24\end{array}$

A) $0.8273 < \beta _ { 1 } < 1.8074$
B) $9.8187 < \beta _ { 1 } < 10.7988$
C) $0.8763 < \beta _ { 1 } < 1.7584$
D) $0.8028 < \beta _ { 1 } < 1.8319$