Construct a Confidence Interval About the Slope of the Least $95 \%$

Multiple Choice

Construct a Confidence Interval about the Slope of the Least -squares Regression Model
-Construct a $95 \%$ confidence interval about the slope of the true least-squares regression line, for the data below, given that $\hat { y } = - 2.5 x$ .
$\begin{array}{c|c|c|c|c|}\mathrm{x} & -1 & -2 & -3 & -4 \\\hline \mathrm{y} & 2 & 6 & 7 & 10\end{array}$

A) $( - 4.165 , - 0.835 )$
B) $( - 6.226,1.226 )$
C) $( - 3.630 , - 1.370 )$
D) $( - 3.731 , - 1.269 )$