Consider the following pairs of measurements, saved in the LM9_95 file.
x | 4 | 6 | 0 | 5 | 2 | 3 | 2 | 6 | 2 | 1 |
y | 3 | 5 | -1 | 4 | 3 | 2 | 0 | 4 | 1 | 1 |
For these data, SSxx = 38.900, SSyy = 33.600, SSxy = 32.8, and
a. Construct a scatterplot of the data.
b. Plot the least squares line on your scatterplot.
c. Use a 95% confidence interval to estimate the mean value of y when xp = 6. Plot the upper and lower bounds of the interval on your scatterplot.
d. Repeat part c for xp = 3.2 and xp = 0.
e. Compare the widths of the three confidence intervals you constructed in parts c and d , and explain why they differ.
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