Consider the following time series. Quarter Year 1 Year 2 Year 3 71 68 62 49 41 51 2.
MATLAB: An Introduction with Applications
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
Transcribed Image Text:A statistical program is recommended.
Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
71
68
62
2
49
41
51
3
58
60
53
4
77
80
71
(a) Construct a time series plot.
90
80
90
90-
90
70
80
80
80
60
70
70
70-
60
50
50
50
40 -
40-
20
10
20
20
20-
10
10
10
1 2
4
1
4
1
2 3
4
1
3
4
1.
4
1
3
4
4
1
4
1
3
4
3
4
1
4
1
4
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year 1
Year 2
Year 3
Year/Quarter
Year/Quarter
Year/Quarter
Year/Quarter
What type of pattern exists in the data?
o The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.
The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.
The time series plot shows a horizontal pattern with no seasonal pattern present.
The time series plot shows a trend pattern with no seasonal pattern present.
(b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data:
X1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise.
(c) Compute the quarterly forecasts for next year.
quarter 1 forecast
Enter an exact number.
quarter 2 forecast
quarter 3 forecast
quarter 4 forecast
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