Unemployment The data for this exercise are the raw and seasonally adjusted civilian unemployment rate in the United States, monthly from January 1948 through March 2016.

(a) Compare the time series by graphing both in one timeplot.

(b) Subtract the seasonally adjusted series from the raw series. Describe the differences.

(c) Form a 13-term moving average of the raw series designed to remove seasonal variation from the raw unemployment rate. (See Exercise 33(c).) When and how does Mt differ from the official seasonally unemployment rate.