The following data are Apple’s quarterly sales for North America (in thousands o
ID: 3296849 • Letter: T
Question
The following data are Apple’s quarterly sales for North America (in thousands of dollars):
Quarter
Sales
2012-4
256.99
2013-1
288.33
2013-2
277.55
2013-3
213.99
2013-4
226.54
2014-1
212.15
2014-2
214.53
2014-3
224.33
2014-4
229.44
2015-1
228.99
The autoregressive model for these data is given by Yt = 1.22 +.876Yt-4 + 1.33Yt-8.
What are the estimated sales for 2015-4? (Note that this model has TWO lag periods that must be taken into account.)
a. 503.508
b. 193.681
c. 138.232
d. 482.340
e. 159.877
Quarter
Sales
2012-4
256.99
2013-1
288.33
2013-2
277.55
2013-3
213.99
2013-4
226.54
2014-1
212.15
2014-2
214.53
2014-3
224.33
2014-4
229.44
2015-1
228.99
Explanation / Answer
Yt = 1.22 +.876Yt-4 + 1.33Yt-8
Y2015-4 = 1.22 +.876Y2014-4 + 1.33Y2013-4
= 1.22 +.876*229.44 + 1.33*226.54
=503.5076
option A) is correct
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