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(Pages : 4)

Reg. No. : ..................................... Name : ..........................................

Final Year B.A. Degree Examination, March 2009 (Part – III) (Group – III) : ECONOMICS Paper – V : Quantitative Methods for Economic Analysis (New Scheme – 2005 Admn. Onwards) Time : 3 Hours

Max. Marks : 100

Instruction : Answers may be written either in English or in Malayalam. (5×1=5 Marks)

I. Choose the correct answer. Write only alphabet. 1) Number of persons living in a household is a) Discrete variable b) Continuous variable

examquestionpapers.com c) Both discrete and continuous variable

d) None of them 2) y = a + bx is called a) Linear function

c) Logarithmic function

d) Exponential function

3) In y = a + bx, b is called a) Dependent variable

b) Slope

c) Independent variable

d) Intercept

4) Logarithm of 100 is a) 0

b) 1

c) 2

d) 3

⎡1 3 5 ⎤ 5) The determinant of matrix A = ⎢ 4 6 2 ⎥ is ⎢ ⎥ ⎢⎣ 2 6 10 ⎥⎦

a) 0

b) 1

c) 2

d) 3

P.T.O.

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II. State true or false :

(5×1=5 Marks)

6) If TR = 100 + Q ; MR is equal to 1 (one). 7) If TC = 100Q + 2Q3, AC is equal to 100 + 6Q. 8) Mean is always less than or equal to medium. 9) Arithmetic mean is always greater than or equal to Geometric mean. 10)

∑ (X − X ) 2

is always equal to zero.

III. Fill in the blanks :

(5×1=5 Marks)

11) If byx = 0.8 and bxy = 0.8, correlation coefficient is _______________ 12) The formula for rank correlation coefficient is _______________ 13) The formula for Laspeyre’s index number is _______________ 14) Fisher’s index is called an _______________ index.

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15) In binomial distribution mean is _______________ IV. Define any four of the following :

(4×1=4 Marks)

16) Range 17) Continuous variable 18) Determinant of a matrix 19) Kurtosis 20) Exclusive events V. Answer any seven of the following in not exceeding half a page each. (7×3=21 Marks) 21) Give an example for bivariate and multivariate functions. 22) List out the different types of matrices. 23) Find the first order differential of y = (x2) (5x3). 24) Find the second order differential of y = 2x3 + 5x2. 25) Find the integral of y = 10x3.

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26) Find the standard deviation of the series 0, 1, 2, 3, 4. 27) Find the Geometric mean of the series 0, 1, 2, 3. 28) Mention the properties of correlation coefficient. 29) What are the four phases of business cycle ? VI. Answer any six of the following not exceeding one page each.

(6×5=30 Marks)

30) Draw a positively skewed distribution and explain. 31) Briefly explain the Quartiles. 32) Calculate Median for the following data : Weekly Wage (Rs.) :

100 – 120

120 – 140

140 – 160

160 – 180

Number of Workers :

2

3

5

1

33) Exemplify coefficient of variation.

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34) Find out the determinant for the following matrix. ⎡1 2 ⎢ 4 5 ⎢ ⎢⎣7 8

3⎤ ⎥ 6 ⎥ 9⎥⎦

35) Calculate correlation coefficient for the following data. Y

1

2

3

4

5

X

6

7

8

9

10

36) Find the second order derivative of the following : Y = (5x2 + x) ÷ (2x + 3x2) 37) Explain Time Reversal Test. 38) If 5 unbiased coins are tossed simultaneously, find out the probability of obtaining 4 heads. 39) Describe the properties of normal distribution.

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VII. Answer any three of the following not exceeding three pages each : (3×10=30 Marks) 40) Exemplify continuous, discrete endogenous and exogenous variables. 41) If 0.3y + 100i – 252 = 0 and 0.25y – 200i – 176 = 0 find the values of y and i. If y = level of income and i = rate of interest, explain your results. 42) If Demand =

100 P2

(where P = Price), find out price elasticity of demand when

P = 5 and P = 6. 43) The marks scored by Bindhu and Sindhu are given below : Bindhu : 50

60

70

80

90

Sindhu : 70

70

70

70

70

Who is better performer ?

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44) Explain the relationship among byx, bxy and ‘r’ with suitable examples.

45) Calculate regression coefficients between Average Productivity and Marginal Productivity of Labour. No. of Labourers :

1

Total Production : 100

2

3

4

5

6

220

360

520

700

900

––––––––––––––––

Paper – V Quantitative Methods for Economic Analysis (New Scheme – 2005 Admn. Onwards)

*1252* Final Year B.A. Degree Examination, March 2009 (Part – III) (Group – III) : ECONOMICS Paper – V : Quantitative Methods for Economic A...