A statistical program is recommended. Consider the following time series. Quarter Year 1 Year 2 Year 3 1 72 69 63 2 48 40 50 3 57 59 52 78 81 72 (a) Construct a time series plot. 90 80 90 80- 90 90- 80- 80 70 70 70 70 60 50 40 60 50- 60 60 50 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 1 Year 2 Year 3 Year 2 Year 3 Year 1 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, but there is also a seasonal pattern in the data. O The time series plot shows a horizontal pattern with no seasonal pattem present. O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. O 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: 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
A statistical program is recommended. Consider the following time series. Quarter Year 1 Year 2 Year 3 1 72 69 63 2 48 40 50 3 57 59 52 78 81 72 (a) Construct a time series plot. 90 80 90 80- 90 90- 80- 80 70 70 70 70 60 50 40 60 50- 60 60 50 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 1 Year 2 Year 3 Year 2 Year 3 Year 1 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, but there is also a seasonal pattern in the data. O The time series plot shows a horizontal pattern with no seasonal pattem present. O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. O 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: 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A statistical program
recommended.
Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
72
69
63
2
48
40
50
3
57
59
52
4
78
81
72
(a) Construct a time series plot.
90
90
90
90
80
80
80
80
70
70
70
70
60
60
60
60
50
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, 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.
O 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:
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
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