Consider the Following Pairs of Measurements $\begin{array}{|c|c|c|c|c|c|}\hline x & 5 & 8 & 3 & 4 & 9 \\\hline y & 6.2 & 3.4 & 7.5 & 8.1 & 3.2 \\\hline\end{array}$

Consider the following pairs of measurements: $\begin{array}{|c|c|c|c|c|c|}\hline x & 5 & 8 & 3 & 4 & 9 \\\hline y & 6.2 & 3.4 & 7.5 & 8.1 & 3.2 \\\hline\end{array}$

a. Construct a scattergram for the data.
b. Use the method of least squares to model the relationship between $x$ and $y$ .
c. Calculate SSE, $s ^ { 2 }$ , and $s$ .
d. What percentage of the observed $y$ -values fall within $2 s$ of the values of $\hat{y}$ predicted by the least squares model? 11.4 Assessing the Utility of the Model: Making Inferences about the Slope β1 1 Construct Confidence Interval for β1