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Reg. No. : ..................................... Name : ..........................................
Final Year B.A. Degree Examination, March 2009 Part III – Group III – ECONOMICS Paper – V : Quantitative Methods for Economic Analysis (Old Scheme – Prior to 2005 Admn.) Time : 3 Hours
Max. Marks : 100
Instruction : Answers may be written either in English or in Malayalam. I. Choose the correct answer (Write the alphabet only).
(5×1=5 Marks)
1) NIFTY index is arrived at on the basis of the share price movements of a) 60 companies b) 50 companies c) 40 companies d) 30 companies
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2) Geometric mean will be normally a) less than or equal to Arithmetic mean b) greater than or equal to Arithmetic mean c) less than or equal to harmonic mean d) greater than or equal to harmonic mean square 3) For a normal distribution a) Mean – Median b) Mean > Median c) Mean > Mode d) Median > Mode
4) If Q = 80L0.4 K 0.6, Marginal Productivity of Labour is a) (0.4) 80L–0.6 K0.6(K) b) (0.4) L– 0.6 K 0.6 c) (0.4) 80L– 0.6 K0.6 d) None of them P.T.O.
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5) The average cost function of TC = 80 + 2Q2 a)
80 + 2Q Q
c) 80 + 2Q
b) 80Q + 2Q d) None of them
II. State whether True or False.
(5×1=5 Marks)
6) In the case of normal distribution, Mean, Median and Mode are all equal. 7) If at a point, Total Revenue is equal to Total Cost, that point is known as Break Even Point. 8) Laspeyre’s index is not an ideal index. 9) If every 5th household is selected for a study, that sample is known as stratified random sample. 10) In Y = a + bx, b is known as intercept.
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III. Fill in the blanks.
(5×1=5 Marks)
11) The intersection of more than and less than ogives gives _______________ 12) The intersection of the two regression lines Y on X and X on Y gives _________ 13) Geometric mean of byx and bxy gives _______________ 14) Geometric mean of Laspeyre’s and Paasche’s indices gives _______________ 15) Standard deviation for a series is _______________ than its variance. IV. Define any four of the following : 16) Skewness. 17) Correlation coefficient. 18) Index number. 19) Time series data. 20) SENSEX.
(4×1=4 Marks)
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V. Answer any seven of the following, not more than half a page each. (7×3=21 Marks) 21) Write a note on National Sample Survey. 22) Write a note on Central Statistical Organisation. 23) Explain the reasons for the rise and fall of inflation rates in India since January 2008. 24) Explain the reasons for the increase and decrease in the cash reserve ratio since January 2008. 25) Write a brief note on recent global financial crisis of the year 2008. 26) Briefly mention the drawbacks of secondary data. 27) Exemplify the law of inertia of large numbers. 28) Mention different kinds of diagrams.
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29) Mention different kinds of graphs.
30) If Y = 100 – 10X, discuss the relationship between Y and X. VI. Answer any six of the following not exceeding one page each : 31) Draw a suitable diagram for the following data. Country
India USA Indonesia
Population (in crores)
107
30
China
22
140
32) Draw a Break-Even Chart and explain it. 33) What are the essentials of a good average ? 34) For the following data, calculate mean, X Frequency
1
2
1
3
8
8
3 3
8
4 1 . 8
SriLanka 2
(6×5=30 Marks)
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35) For the following data calculate standard deviation. X
0
1
Frequency
1
3
8
2 3
8
8
3 1 . 8
36) Write a note on “Base year selection” for the construction of an index. 37) Write a note on “KURTOSIS”. 38) Write a note on “LORENZ CURVE”. 39) What are the properties of an ideal index number ? 40) If consumption = 100 + 0.8 Yd (Yd = disposable income), calculate multiplier. VII. Answer any three of the following, not exceeding three pages each. (3×10=30 Marks) 41) Discuss the relationship between standard deviation, coefficient of variation, with suitable examples.
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42) Discuss the relationship between sampling error and nonsampling error.
43) Exemplify the relationship between regression coefficients and correlation coefficients. 44) For the following data calculate Fisher’s Index Number : Commodity
2000 Price
2007 Quantity Price Quantity
X
10
20
15
15
Y
15
15
20
10
Z
20
10
25
5
45) Calculate average and marginal productivities of Labour and Capital for Q = 100 L0.2 K0.8. 46) Given the function Z = 3x2 + 2y2 – XY – 4X – 7Y + 12, determine whether the function is at a maximum, minimum, inflection point or saddle point. ——————————