Veer Narmad South Gujarat University 2011 M.Com Commerce S-2587 Advanced Statistics : 3 ( Sem1 ) . - Question Paper
[Total Marks : 70
M. Com. (Sem. I) Examination
March/April - 2011
Advanced Statistics : Paper-Ill
S-2587
Time : Hours] :
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Fillup strictly the details of signs on your answer book.
Name of the Examination :
M. COM. (SEM. 1)
Name of the Subject:
ADVANCED STATISTICS - 3
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Student's Signature
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-Subject Code No. |
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-Section No. (1,2,.....) |
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1950 |
1951 |
1952 |
1953 |
1954 |
1955 |
1956 |
1957 |
1958 |
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100 |
101 |
112 |
128 |
130 |
131 |
139 |
128 |
149 |
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Instructions : (1) As per the instruction no. 1 of page no. 1.
(2) Figures to the right indicate full marks of the question.
(3) Usual notations are used in the question paper.
1 Answer in short : 14
(i) What is Econometrix? Explain.
(ii) What is indifference curves?
(iii) State any two assumptions for input-output analysis.
(iv) What is compensated demand function?
(v) What is cross-section data? Explain.
(vi) How will you fit the equation y = abx? State in short.
(vii) State the advantages of ratio to trend method.
2 (a) Show that the elasticity of substitution is 1 for the 8
production function q = Ax
.* p
2
(b) State and prove Eulers theorem. 6
(a) Explain input-output analysis and also explain 7 Leontifs open model.
(b) The utility function for a day is U=48L+Ly-L2, then 7 obtain supply function for consumer.
Answer the following questions : (any two) 14
(i) Explain the constant elasticity substitution function.
Also state its characteristics.
(ii) Explain production function and COBB-Duglass function.
(iii) The utility function of two products x and y is U = (x+2)2/3 (y+l)1/3 and budget function is 2x+y=7 then find the value of x and y so that U is maximum.
What is time series? Describe its components. 14
(a) How will you find trend by fitting linear equation using 7 method of least squares.
(b) From the following data find trend values by fitting 7 straight line equation :
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Year: |
1950 |
1951 |
1952 |
1953 |
1954 |
1955 |
1956 |
1957 |
1958 |
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Index no. |
100 |
101 |
112 |
128 |
130 |
131 |
139 |
128 |
149 |
5 (a) The sales of a company in lakhs of rupees for the 9
year 1994-2000 are given below :
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Year: |
1994 |
1995 |
1996 |
1997 |
1998 |
1999 |
2000 |
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Sales: (in lakhs) |
32 |
47 |
65 |
92 |
190 |
132 |
275 |
Estimate sales figures for the year 2003 using an equation of the form y = abx, where x = years and y = sales
(b) Write a short note on Ratio to trend method. 5
5 (a) Fit a parabolic curve of second degree to the data 9
given below and estimate the value for the year 2002 :
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Year: |
1996 |
1997 |
1998 |
1999 |
2000 |
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Sales: (in 000' Rs.) |
10 |
12 |
13 |
10 |
8 |
(b) Write a note on Moving average method. 5
S-2587] 4 [ 100 ]
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Attachment: |
| Earning: Approval pending. |
