Consider the following pairs of measurements:
a. Construct a scattergram for these data
b. Find the least squares line, and plot it on your scattergram.
c. Find s2
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 your constructed in parts d and e. Which is wider and why?