Consider the following time series. Quarter Year 1 Year 2 Year 3 1 72 69 63 2 49 41 51 3 57 59 52 4 77 80 71 (a) Construct a time series plot. 90 T 90 90 90 T 80- 70- 60 80 80 80 70- 70 70 60 60 60 50 50 50 50 40 30 20 40 30 40 40 30 30 20 20 20 10 10 10 10 12 3 4 12 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 12 3 4 1 2 3 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 trend pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data. O The time series plot shows a horizontal pattern with no seasonal pattern present. O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. (b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: x, - 1 if quarter 1,0 otherwise; x, - 1 if quarter 2, 0 otherwise; x, - 1 if quarter 3, O otherwise. (c) Compute the quarterly forecasts for next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
Consider the following time series. Quarter Year 1 Year 2 Year 3 1 72 69 63 2 49 41 51 3 57 59 52 4 77 80 71 (a) Construct a time series plot. 90 T 90 90 90 T 80- 70- 60 80 80 80 70- 70 70 60 60 60 50 50 50 50 40 30 20 40 30 40 40 30 30 20 20 20 10 10 10 10 12 3 4 12 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 12 3 4 1 2 3 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 trend pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data. O The time series plot shows a horizontal pattern with no seasonal pattern present. O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. (b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: x, - 1 if quarter 1,0 otherwise; x, - 1 if quarter 2, 0 otherwise; x, - 1 if quarter 3, O otherwise. (c) Compute the quarterly forecasts for next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Consider the following time series.
Quarter
Year 1
Year 2
Year 3
72
69
63
2
49
41
51
57
59
52
77
80
71
(a) Construct a time series plot.
90
90 T
90 T
90
80
80-
70-
60-
50
80
80-
70
70
70-
60
60
60
50
50
50-
40
40
40-
40
30
30
30
30
20
20
20
-
20
10
10
10-
10
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 4
1 2 3 4 1 2 3 4 1 2 3 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 trend pattern with no seasonal pattern present.
O The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.
O The time series plot shows a horizontal pattern with no seasonal pattern present.
O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.
(b) Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data:
x, = 1 if quarter 1, 0 otherwise; x, = 1 if quarter 2, 0 otherwise; x, = 1 if quarter 3, 0 otherwise.
(c) Compute the quarterly forecasts for next year.
quarter 1 forecast
quarter 2 forecast
quarter 3 forecast
quarter 4 forecast
Time Series Value
hme Series Value
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