1. Consider the bivariate time series records containing monthly U.S. production (prodn) as mea- sured by the Federal Reserve Board Product on Index and the monthly unemployment series (unemp) from astsa pacakge. (1) Compute the spectrum and the log spectrum for each series, and identify statistically significant peaks. (2) Explain what might be generating the peaks. (3) Compute the coherence, and explain what is meant when a high coherence is observed at a particular frequency.

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1. Consider the bivariate time series records containing monthly U.S. production (prodn) as mea-
sured by the Federal Reserve Board Product on Index and the monthly unemployment series (unemp)
from astsa pacakge.
(1) Compute the spectrum and the log spectrum for each series, and identify statistically significant
peaks.
(2) Explain what might be generating the peaks.
(3) Compute the coherence, and explain what is meant when a high coherence is observed at a
particular frequency.
Transcribed Image Text:1. Consider the bivariate time series records containing monthly U.S. production (prodn) as mea- sured by the Federal Reserve Board Product on Index and the monthly unemployment series (unemp) from astsa pacakge. (1) Compute the spectrum and the log spectrum for each series, and identify statistically significant peaks. (2) Explain what might be generating the peaks. (3) Compute the coherence, and explain what is meant when a high coherence is observed at a particular frequency.
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