Consider the following pairs of measurements saved in the LM9_94 file.
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
y | 3 | 5 | 4 | 6 | 7 | 7 | 10 |
a. Construct a scatterplot of these data.
b. Find the least squares line, and plot it on your scatterplot.
c. Find s2.
d. Find a 90% confidence interval for the mean value of y when x = 4. Plot the upper and lower bounds of the confidence interval on your scatterplot.
e. Find a 90% prediction interval for a new value of y when x = 4. Plot the upper and lower bounds of the prediction interval on your scatterplot.
f. Compare the widths of the intervals you constructed in parts d and e. Which is wider and why?
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