# Loyola College B.A. Economics Nov 2008 Quantitative Tools For Economics (2) Question Paper PDF Download

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 )

1. 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

1. 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.

1. 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.

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

1. Calculate the coefficient of rank correlation between the marks .
 economics 85 60 73 40 90 statistics 93 75 65 50 80

1. Explain the difference between correlation and regression analysis.

1. 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.

1. 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

1. Estimate the regression equations  Yi   =   a  +  b Xi   and  Xi   =   c  +  d Yi    where Yi = Age of husband   and Xi = 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

1. 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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