Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61 2 48 40 50 58 60 53 4 77 80 71 (a) Construct a time series plot. 90 90 90 90 80 80 80 80 70 70- 70 60 50 40 30 20 70 60 60 60 50 50 50 40 40 40 30 30 30 20 10- 20 10- 20 10 10- 123 4 1 2 3 4 1 2 3 4 123 4 1 2 3 4 1 2 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 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. O The time series plot shows a trend pattern with no seasonal pattern present. O The time series plot shows a horizontal 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. (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, o otherwise; x = 1 if quarter 3, 0 otherwise. (c) Compute the quarterly forecasts for next year.
Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61 2 48 40 50 58 60 53 4 77 80 71 (a) Construct a time series plot. 90 90 90 90 80 80 80 80 70 70- 70 60 50 40 30 20 70 60 60 60 50 50 50 40 40 40 30 30 30 20 10- 20 10- 20 10 10- 123 4 1 2 3 4 1 2 3 4 123 4 1 2 3 4 1 2 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 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. O The time series plot shows a trend pattern with no seasonal pattern present. O The time series plot shows a horizontal 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. (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, o otherwise; x = 1 if quarter 3, 0 otherwise. (c) Compute the quarterly forecasts for next year.
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: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.
O The time series plot shows a trend pattern with no seasonal pattern present.
O The time series plot shows a horizontal 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.
(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 guarter 3, 0 otherwise.
(c) Compute the quarterly forecasts for next year.
quarter 1 forecast
quarter 2 forecast
quarter 3 forecast
quarter 4 forecast
Transcribed Image Text:Consider the following time series.
Quarter
Year 1
Year 2
Year 3
1
70
67
61
48
40
50
3
58
60
53
4
77
80
71
(a) Construct a time series plot.
wwww
90
90
90
90
80
80
80
80
70
70
70
70
60
60
40
30
30
20
20
10
10
10
10
2 3
4
1
3
4
1
2 3
4
1
2 3 4
1
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 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.
O The time series plot shows a horizontal 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.
(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; x3 = 1 if quarter 3, 0 otherwise.
(c) Compute the quarterly forecasts for next year.
quarter 1 forecast
quarter 2 forecast
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