Solve the following problem : Obtain trend values for the data in Problem 7 using 4-yearly moving averages. - Mathematics and Statistics

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Sum

Solve the following problem :

Obtain trend values for the data in Problem 7 using 4-yearly moving averages.

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Solution

Construct the following table for finding 4-yearly centred moving averages:

Year
t
Percentage of Enrolment 
yt
4–yearly moving total 4–yearly moving average 2 unit moving total 4–yearly centred moving averages trend value
1960 0        
           
1965 3        
    10 2.5    
1970 3     6 3
    14 3.5    
1975 4     7.5 3.75
    16 4    
1980 4     8.75 4.375
    19 4.75    
1985 5     10.5 5.25
    23 5.75    
1990 6     12.5 6.25
    27 6.75    
1995 8     14.75 7.375
    32 8    
2000 8        
           
2005 10       4.5
Concept: Measurement of Secular Trend
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Chapter 4: Time Series - Miscellaneous Exercise 4 [Page 69]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 4 Time Series
Miscellaneous Exercise 4 | Q 4.09 | Page 69
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