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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CalLadyQED
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I know it's obvious what's going on with phi_22 from the formula, but I'm having trouble answering in a more conceptual, intuitive way. I guess I'm thinking the question is more like, why should the Corr(Y_t, Y_t-2|Y_t-1) become negative when Corr(Y_t, Y_t-1) increases? Am I making this more complicated than it is?

[NEAS: When the correlation for lag 1 increases, more of the correlation for lag 2 is explained by the correlation for lag 1.]


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