The data set below shows private housing units started per thousand of populatio
ID: 3297147 • Letter: T
Question
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 smothered series and comment on your results. Please show your work.
Compute a simple centered 5-point moving average series (applicable years 3 thru 22)
Comment on your results. Choose the correct answer below.
A. The housing starts appear to exhib oscillartory or cliclical pattersn not relate to seasonal behavio. These clyclical patterns are smoothered with the 5-point moving average.
B. 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.
C. The housing starts appear to exhibit seasonal patterns. The seasonal patters are eliminated with the 5-point moving average, the trend component is eliminated so as to smooth the data.
Year 1 2 3 4 5 6 7 8 9 10 11 12 Starts 9.0 6.1 7.1 7.7 8.9 8.7 7.7 5.5 6.0 7.8 7.5 7.5 Year 13 14 15 16 17 18 19 20 21 22 23 24 Starts 9.2 11.8 9.5 7.0 5.0 7.0 9.9 9.0 7.1 5.6 5.0 4.2Explanation / Answer
We will find the 5 period moving average for all of the 22 periods.
Based on these the correct option would be,
A. The housing starts appear to exhib oscillartory or cliclical pattersn not relate to seasonal behavio. These clyclical patterns are smoothered with the 5-point moving average.
Year Starts Moving Average 1 9 N/A 2 6.1 N/A 3 7.1 7.76 4 7.7 7.7 5 8.9 8.02 6 8.7 7.7 7 7.7 7.36 8 5.5 7.14 9 6 6.9 10 7.8 6.86 11 7.5 7.6 12 7.5 8.76 13 9.2 9.1 14 11.8 9 15 9.5 8.5 16 7 8.06 17 5 7.68 18 7 7.58 19 9.9 7.6 20 9 7.72 21 7.1 7.32 22 5.6 6.18 23 5 N/A 24 4.2 N/ARelated Questions
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