TS Module 11: simulated and actual time series HW


TS Module 11: simulated and actual time series HW

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NEAS
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TS Module 11: simulated and actual time series HW

 

(The attached PDF file has better formatting)

 

Homework assignment: Partial autocorrelations

 

[Partial autocorrelations are covered in Module 10, along with sample autocorrelations.]

 


           A stationary ARMA process has ñ2 = 0.20.

           ñ1 ranges from 0.2 to 0.7 in units of 0.1.


 

 


 

A.     Graph the partial autocorrelation of lag 2 (ö22) as a function of ñ1.

B.     Explain why the partial autocorrelation is positive for low ñ1 and negative for high ñ1.


 

 

 


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moo5003
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My guess - Since autocorrelation lag 2 is constant, as autocorrelation lag 1 increases we would expect autocorrelation lag 2 to increase since more and more of it should rely on autocorrelation lag 1.  However, since autocorrelation lag 2 is constant, it must be that the autocorrelation of lag 2 removing the effect of intervening variable must be decreasing to make up the difference for the larger effect of autocorrelation lag 1.

I'm unsure if I explained my thought process very well, but that is the general idea I think they are trying to get.

Let me know if you guys come up with a more tangible answer.


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