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

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.