LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

   B.Sc. DEGREE EXAMINATION – STATISTICS

BA 12

FIFTH SEMESTER – November 2008

ST 5502 – APPLIED STATISTICS

 

 

 

Date : 07-11-08                     Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A      ( 10 x 2 = 20 Marks)

Answer ALL questions.

 

1. Define an index number.  Mention its uses.
2. Discuss the concept of deflating an index number.
3. Define a Time series and give examples.
4. List down different methods of measuring trend.
5. Define total and specific fertility rates.
6. Specify Pearle’s Vital index in the measurement of population growth.
7. Define multiple correlation coefficient.
8. Write down the formula for partial correlation coefficient r_12.3.
9. What is meant by financial statistics?
10. Write a note on live stock statistics.

 

SECTION – B     (5 x 8 = 40 Marks)

Answer any FIVE questions.

 

1. What are the steps to be followed in the construction of consumer price index number?
2. The following table gives the quantities and prices of five commodities for two periods.  Compute the quantity and the price indices using Fisher’s formula.

 

Commodity	Base Year		Current Year
	Quantity	Price	Quantity	Price
A	6	5	8	6
B	8	3	10	2
C	12	2	10	4
D	2	8	2	7
E	5	9	6	9

1. What are the components of a time series? Explain them.
2. The following data gives the yearly sales of a product.  Compute the linear trend by the method of least squares.  Estimate the trend for the year 2008.

 

Year	2001	2002	2003	2004	2005
Sales(Lakhs)	26	30	38	50	56

 

1. What are the components of a Life Table.  Explain them.
2. Explain the Gross and Net Reproduction Rates.
3. Discuss the functions of Central Statistical Organisation (CSO).
4. Given the values of  r₁₂=0.8, r₁₃=0.7 and r₂₃=0.9, compute the values of R_1.23 and _2.31.

 

 

 

 

SECTION-C     (2 x 20 = 40 Marks)

Answer any TWO questions.

 

19. (a). Discuss the unit test, time reversal test, factor reversal test and the circular test associated with index numbers.

(b). Construct the wholesale price index number for the years 2007 and 2008 given the following data.

 

Commodity	Wholesale price in rupees per quintal
	2006	2007	2008
I	140	160	190
II	120	130	140
III	100	105	108
IV	75	80	90
V	250	270	300
VI	400	420	450

 

1. (a). Discuss various methods of measuring Seasonal indices in Time series.

(b). The following table gives the cost of an item for the period of five years.  Using the method of Link relatives, compute the Seasonal indices.

 

Quarter	Year
	2001	2002	2003	2004	2005
I	60	62	65	70	72
II	65	68	70	75	80
III	62	65	64	68	70
IV	69	68	62	67	78

 

21. (a). Compute the crude and standardized death Rates of the two populations X and Y regarding X as the standard population.

 

Age group	Under 10	10-20	20-40	40-60	Above 60
Population  in X	20000	12000	50000	30000	10000
Deaths in X	600	240	1250	1050	500
Population in Y	12000	30000	62000	15000	3000
Deaths in Y	372	660	1612	325	180

 

 

(b). Derive the multiple regression equation of X₁ on X₂ and X₃ in the usual notation.

 

1. Write short notes on the following

• Partial and mulitiple correlations.

(ii)  Discuss the methods of National Income estimation.

(iii) Economic census and labour statistics.

 

 

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