Consider the Following Pairs of Observations $\begin{array}{|l|l|l|l|l|l|}\hline x & 2 & 0 & 3 & 3 & 5 \\\hline y & 1 & 3 & 4 & 6 & 7 \\\hline\end{array}$

Essay

Consider the following pairs of observations: $\begin{array}{|l|l|l|l|l|l|}\hline x & 2 & 0 & 3 & 3 & 5 \\\hline y & 1 & 3 & 4 & 6 & 7 \\\hline\end{array}$

a. Construct a scattergram for the data.
b. Find the least squares line, and plot it on your scattergram.
c. Find a $99 \%$ confidence interval for the mean value of $y$ when $x = 1$ .
d. Find a $99 \%$ prediction interval for a new value of $y$ when $x = 1$ .