Consider the following pairs of measurements.

For these data, SSxx = 38.900, SSyy = 33.600, SSxy = 32.8, and yn = -.414 + .843x.

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.

Transcribed Image Text:

x y 46 052 32 35-14 320 62 1 4 1 1