LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

TA 07

   B.A. DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – November 2008

EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS

 

 

 

Date : 06-11-08                     Dept. No.                                       Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A

Answer any FIVE questions in about 75 words each.                ( 5 x 4 = 20 marks )

 

1. What is classification ?
2. Define  scatter diagram?
3. Distinguish between primary data and secondary data.
4. Define coefficient of variation .
5. Where do we use the mode ?
6. What is the principle of ordinary least squares ?.
7. Give any four time series data used in economics.

 

 

PART – B

Answer any FOUR questions in about 300 words each.             (  4 x 10  = 40 marks )

 

8. Represent the following data by a simple Pie diagram

 

State	T.N	ANDHRA	KARNATAKA	PUNJAP	U.P	KERALA
Number of projects	38	65	52	16	10	10

 

9. The daily income of 10 workers at Koyambedu market are given below

 

worker	1	2	3	4	5	6	7	8	9	10
Income in Rs.	85	70	10	75	500	8	42	250	40	36

Calculate the Harmonic mean  daily income of workers in the market.

 

10. Mean and standard deviations of the two distributions 100 and 150 items are 50 , 5 and 40 , 6

respectively . Find the mean and standard deviation of all the 250 items taken together.

 

11. What are the components of a time series trend?

 

12. Calculate the coefficient of rank correlation between the marks .

economics	85	60	73	40	90
statistics	93	75	65	50	80

 

13. Explain the difference between correlation and regression analysis.

 

14. Estimate the trend equation by OLS for the following data

             

year	2001	2002	2003	2004	2005	2006	2007
sales	180	190	192	183	194	199	192

 

 

 

PART – C

 

Answer any TWO questions in about 900 words each.             (  2 x 20  = 40 marks )

 

 

15 . Explain the importance of statistics in economic analysis and business decision making.

16. Calculate the Karl Pearson’s coefficient of skew ness

 

Class	0 – 10	10 – 20	20 – 30	30 –40	40 – 50	50 – 60	60 – 70	70 – 80
Frequency	10	40	20	0	10	40	16	14

 

 

17. Estimate the regression equations  Y_i   =   a  +  b X_i   and  X_i   =   c  +  d Y_i    where Y_i = Age of husband   and X_i = Age of wife

 

Yi	18	19	20	21	22	23	24	25	26	27
Xi	17	17	18	18	19	19	19	20	21	22

 

 

18. Calculate fisher’s ideal index number and prove that it satisfy Time reversal and Factor reversal

test.

 

(  QUANTITY )                                     ( PRICE )

Commodity	2000 -2001	2007 -2008	2000 – 2001	2007 – 2008
A	12	15	10	12
B	15	20	7	5
C	24	20	5	9
D	5	5	16	14

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