LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  M.A. DEGREE EXAMINATION – ECONOMICS

AN 20

FIRST SEMESTER – NOV 2006

         EC 1809 – MATHS & STATISTICS FOR ECONOMISTS

 

 

Date & Time : 02-11-2006/1.00-4.00           Dept. No.                                                       Max. : 100 Marks

 

 

Part  – A

 

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

1. Define ‘Hypothesis’.
2. Mention the types of discontinuities.
3. What is meant by partial correlation?
4. What are the components of time series?
5. Compute if
6. Find the maxima / minima of
7. Find if

Part – B

 

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

8. Solve by using Crmer’s rule
9. Show that
10. Find the relative maximum, minimum and point of inflexion from the following function .
11. A sample of 900 members has a mean of 3.4 cms and standard deviation of 2.61 cms. can the sample be regarded as one drawn from a population with mean 3.25 cms? (level of significance 5%)
12. Measure seasonal variation by the method of simple averages.

Year          Q₁        Q₂        Q₃        Q₄

1990          65        58        56        61

1991          68        63        60        69

1992          70        67        68        66

1993          67        62        60        64

1994          70        60        60        70

13. Show that elasticity of substitution form a CES production function is where
14. Estimate the regression of Y on X for the following data:

X:              1          2          3          4          5          6

Y:              9          8          10        12        11        13

 

 

Part – C

 

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

15. Discuss the role of mathematics and statistics in applied economics.
16. (a) Show that average cost and marginal cost intersect at the lowest point of the average cost function.

(b) For a linear average revenue function, the slope of the corresponding marginal revenue function is twice that of the average revenue function.

17. Find the partial regression coefficient of X₃ on X₁ and X₂

X₁: 3          5          6          8          12        14

X₂: 16        10        7          4          3          2

X₃: 90        72        54        42        30        12

18. A farmer applied three types of fertilizers on 4 separate plots. Determine whether there is any significant difference in yield.

Plots \ Fertilizer	Nitrogen	Potash	Phosphate
1	6	7	8
2	4	6	5
3	8	6	10
4	6	9	9

 

 

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