The data set below shows private housing units started per thousand of population in a country over a period of 24 years. Compute a simple centered 5-point moving average series for the housing sta data. Draw a time plot of the smoothed series and comment on your results. Year 1 2 Starts 9.0 6.7 Year 13 Starts 9.8 3 4 5 6 7.7 8.0 8.5 8.9 14 15 16 17 18 11.6 9.0 6.2 5.6 7.3 O A. Starts 12+ MM Year 24 7 7.0 19 9.8 8 9 5.2 6.0 20 21 9.8 7.5 B. A Starts 12- ooooo 10 7.4 24 22 5.5 Year Q Full data set 11 12 8.0 7.8 23 24 4.9 4.5 O C. A Starts 12+ Rood Year 24 Q O D. A Starts 12- 500g to Year 24 Q Comment on your results. Choose the correct answer below. ⒸA. The housing starts appear to exhibit seasonal patterns. The seasonal patterns are eliminated with the 5-point moving average and a cyclical pattern then emerges. OB. The housing starts appear to exhibit oscillatory or cyclical patterns not related to seasonal behavior. These cyclical patterns are smoothed with the 5-point moving average. OC. The housing starts appear to exhibit a trend component. After finding the 5-point moving average, the trend component is eliminated so as to smooth the data. O D. The housing starts appear to exhibit an irregular component. The 5-point moving average does little to smooth the data due to the unpredictable nature of irregular components.
The data set below shows private housing units started per thousand of population in a country over a period of 24 years. Compute a simple centered 5-point moving average series for the housing sta data. Draw a time plot of the smoothed series and comment on your results. Year 1 2 Starts 9.0 6.7 Year 13 Starts 9.8 3 4 5 6 7.7 8.0 8.5 8.9 14 15 16 17 18 11.6 9.0 6.2 5.6 7.3 O A. Starts 12+ MM Year 24 7 7.0 19 9.8 8 9 5.2 6.0 20 21 9.8 7.5 B. A Starts 12- ooooo 10 7.4 24 22 5.5 Year Q Full data set 11 12 8.0 7.8 23 24 4.9 4.5 O C. A Starts 12+ Rood Year 24 Q O D. A Starts 12- 500g to Year 24 Q Comment on your results. Choose the correct answer below. ⒸA. The housing starts appear to exhibit seasonal patterns. The seasonal patterns are eliminated with the 5-point moving average and a cyclical pattern then emerges. OB. The housing starts appear to exhibit oscillatory or cyclical patterns not related to seasonal behavior. These cyclical patterns are smoothed with the 5-point moving average. OC. The housing starts appear to exhibit a trend component. After finding the 5-point moving average, the trend component is eliminated so as to smooth the data. O D. The housing starts appear to exhibit an irregular component. The 5-point moving average does little to smooth the data due to the unpredictable nature of irregular components.
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:The data set below shows private housing units started per thousand of population in a country over a period of 24 years. Compute a simple centered 5-point moving average series for the housing starts
data. Draw a time plot of the smoothed series and comment on your results.
3
4
7.7
8.0
Year 1 2
Starts 9.0 6.7
Year 13 14
Starts 9.8 11.6 9.0 6.2 5.6
15
16
A.
12+
4-
Starts
ศ
88
16
Year
24
LO
5
6
8.5 8.9
17 18
7.3
5
1998
7 8
9
7.0 5.2 6.0
9.8
B.
4
12+
20
21
9.8 7.5
Starts
20000
Year
24
Full data set
11 12
8.0
10
7.4 7.8
22
23
5.5 4.9
24
4.5
12+
4-
0
Starts
goog
Year
24
37
12+
4
Starts
cooca!
0
Year
24
Comment on your results. Choose the correct answer below.
A. The housing starts appear to exhibit seasonal patterns. The seasonal patterns are eliminated with the 5-point moving average and a cyclical pattern then emerges.
B. The housing starts appear to exhibit oscillatory or cyclical patterns not related to seasonal behavior. These cyclical patterns are smoothed with the 5-point moving average.
C. The housing starts appear to exhibit a trend component. After finding the 5-point moving average, the trend component is eliminated so as to smooth the data.
D. The housing starts appear to exhibit an irregular component. The 5-point moving average does little to smooth the data due to the unpredictable nature of irregular components.
Transcribed Image Text:The data set below shows private housing units started per thousand of population in a country over a period of 24 years. Compute a simple centered 5-point moving
average series for the housing starts data. Draw a time plot of the smoothed series and comment on your results.
Full data set
10
11 12
7.4 7.8 8.0
Year 1 2
Starts 9.0 6.7
Year 13
Starts 9.8
Year
Moving
Average
4
8.0
15
16
14
11.6 9.0 6.2
Year
Moving
Average
3
7.7
13 14
5
8.5
17
5.6
4
Compute a simple centered 5-point moving average series.
1
2
3
7
5
6
8.9
18
7.3
15 16 17
7
7.0
6
19
9.8
8
9
5.2
6.0
20
21
22 23 24
9.8 7.5 5.5 4.9 4.5
8 9 10 11 12
7.98 7.96 8.02 7.52 7.12 6.9
6.68 6.88
88 7.80
18 19 20 21 22 23
9.24 8.92 8.44 7.94 7.58 7.74 8.00 7.98 7.5
(Round to two decimal places as needed.)
Draw a time plot of the smoothed series. Choose the correct graph below.
6.44
8.92
24
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