a. Construct a scatter diagram for the data. b. Find the least square line and p

a. Construct a scatter diagram for the data.
b. Find the least square line and plot it on your scattergram.
c. Find s2 and s (by long hand show your work software output will not be graded).
d. Find a 90% confidence interval for the mean value of y when x = 3. Plot the upper and lower bounds of the confidence interval on your scattergram.
e. Find a 90% prediction interval for a new value of y when x = 3. Plot the upper and lower bounds of the prediction interval on your scattergram.
f. Compare the widths of the intervals you constructed in part d and e. Which is wider and why? (4%)