Problem

Consider the following pairs of measurements saved in the LM9_94 file. x1234567y35467710a...

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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