Consider the following pairs of measurements: x -2 0 2 4 6 8 10 y 0 3

Question:

Consider the following pairs of measurements: x -2 0 2 4 6 8 10 y 0 3 2 3 8 10 11

a. Construct a scatterplot for these data.

b. Find the least squares line and plot it on your scatterplot.

c. Find s2 and s.

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 scatterplot.

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 scatterplot.

f. Compare the widths of the intervals you constructed in parts d and

e. Which is wider and why?

Step by Step Answer:

Related Book For  book-img-for-question

Statistics For Business And Economics

ISBN: 9781292413396

14th Global Edition

Authors: James McClave, P. Benson, Terry Sincich

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