Calicut University 2009 B.A Economics ch%2C %E2%80%93 V %3A Quantitative Methods for Economic Analysis - Question Paper

I. select the accurate ans. Write only alphabet. (5×1=5 Marks)

1) Number of persons residing in a household is
a) Discrete variable
b) Continuous variable
c) Both discrete and continuous variable
d) None of them

2) y = a + bx is called
a) Linear function b) Quadratic 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) one c) two d) 3

5) The determinant of matrix
2 six 10
4 six 2
1 three 5
A is
a) 0 b) one c) two d) 3

II. State actual or false : (5×1=5 Marks)

6) If TR = 100 + Q ; MR is equal to one (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) S(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.

15) In binomial distribution mean is _______________

IV. describe any 4 of the subsequent : (4×1=4 Marks)

16) Range

17) Continuous variable

18) Determinant of a matrix

19) Kurtosis

20) Exclusive events

V. ans any 7 of the subsequent in not exceeding half a page every.
(7×3=21 Marks)

21) provide an example for bivariate and multivariate functions.

22) List out the various kinds of matrices.

23) obtain the 1st order differential of y = (x2) (5x3).

24) obtain the 2nd order differential of y = 2x3 + 5x2.

25) obtain the integral of y = 10x3.

26) obtain the standard deviation of the series 0, 1, 2, 3, 4.

27) obtain the Geometric mean of the series 0, 1, 2, 3.

28) Mention the properties of correlation coefficient.

29) elaborate the 4 phases of business cycle ?

VI. ans any 6 of the subsequent not exceeding 1 page every. (6×5=30 Marks)

30) Draw a positively skewed distribution and discuss.

31) Briefly discuss the Quartiles.

32) compute Median for the subsequent data :
Weekly Wage (Rs.) : 100 – 120 120 – 140 140 – 160 160 – 180
Number of Workers: two three five 1

33) Exemplify coefficient of variation.

34) obtain out the determinant for the subsequent matrix.
7 eight 9
4 five 6
1 two 3

35) compute correlation coefficient for the subsequent data.
Y one two three four 5
X six seven eight nine 10

36) obtain the 2nd order derivative of the subsequent :
Y = (5x2 + x) ÷ (2x + 3x2)

37) discuss Time Reversal Test.

38) If five unbiased coins are tossed simultaneously, obtain out the probability of
obtaining four heads.

39) define the properties of normal distribution.

VII.Answer any 3 of the subsequent not exceeding 3 pages every :
(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 obtain the values of y and i. If y = level of income and
i = rate of interest, discuss your outcomes.

42) If Demand = P2
100 (where P = Price), obtain out price elasticity of demand when
P = five and P = 6.

43) The marks scored by Bindhu and Sindhu are provided beneath :
Bindhu : 50 60 70 80 90
Sindhu : 70 70 70 70 70
Who is better performer ?

44) discuss the relationship among byx, bxy and 'r' with suitable examples.

45) compute regression coefficients ranging from avg. Productivity and Marginal
Productivity of Labour.
No. of Labourers: one two three four five 6
Total Production : 100 220 360 520 700 900

Earning:   Approval pending.