Perform a similar analysis comparing the high- and lowelevation groups. i. Fit a Fourier series to each watershed and find the estimated AR(m) order of the residuals. ii. Plot the averaged watershed...

Perform a similar analysis comparing the high- and lowelevation groups.

i. Fit a Fourier series to each watershed and find the estimated AR(m) order of the residuals.

ii. Plot the averaged watershed value for the high-elevation groups and discuss how this plot compares to the other watersheds. Is there any sense in which the shapes of the three groups form a natural progression from low to high elevations?

iii. Form a plot similar to Figure 19.4 using Frenchman Creek.

iv. Form a table as in the chapter, but comparing the low to the high elevations.

a. Perform the analysis without filtering the data.

b. Perform the analysis filtering the data [parts (iii) and (iv) will be different].

Observe that the patterns are the same in both tables (filtered and unfiltered), although the R2 values are consistently higher for the unfiltered analysis. Explain why this pattern occurs.

Figure 19.4