Consider the Following Pairs of Measurements $\begin{array}{|c|c|c|c|c|c|}\hline x & 1 & 3 & 4 & 6 & 7 \\\hline y & 3 & 6 & 8 & 12 & 13 \\\hline\end{array}$

Consider the following pairs of measurements: $\begin{array}{|c|c|c|c|c|c|}\hline x & 1 & 3 & 4 & 6 & 7 \\\hline y & 3 & 6 & 8 & 12 & 13 \\\hline\end{array}$

a. Construct a scattergram for the data.
b. What does the scattergram suggest about the relationship between $x$ and $y$ ?
c. Find the least squares estimates of $\beta _ { 0 }$ and $\beta _ { 1 }$ .
d. Plot the least squares line on your scattergram. Does the line appear to fit the data well?