Consider the following time series. Quarter Year 1 Year 2 Year 3 71 68 62 49 41 51 2.

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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
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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