# Calicut University 2009 B.A Economics ch, – V : Quantitative Methods for Economic Analysis - Question Paper

Tuesday, 07 May 2013 09:45Web

**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

**I**State actual or false : (5×1=5 Marks)

**I.****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.

**I**Fill in the blanks : (5×1=5 Marks)

**I****I.****1**If byx = 0.8 and bxy = 0.8, correlation coefficient is _______________

**1)****1**The formula for rank correlation coefficient is _______________

**2)****1**The formula for Laspeyre's index number is _______________

**3)****1**Fisher's index is called an _______________ index.

**4)****1**In binomial distribution mean is _______________

**5)****I**describe any 4 of the subsequent : (4×1=4 Marks)

**V.****1**Range

**6)****1**Continuous variable

**7)****1**Determinant of a matrix

**8)****1**Kurtosis

**9)****20)**Exclusive events

**V.**ans any 7 of the subsequent in not exceeding half a page every.

(7×3=21 Marks)

**2**provide an example for bivariate and multivariate functions.

**1)****2**List out the various kinds of matrices.

**2)****2**obtain the 1st order differential of y = (x

**3)****2)**(5x3).

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

**4)****2**obtain the integral of y = 10x3.

**5)****2**obtain the standard deviation of the series 0, 1, 2, 3, 4.

**6)****2**obtain the Geometric mean of the series 0, 1, 2, 3.

**7)****2**Mention the properties of correlation coefficient.

**8)****2**elaborate the 4 phases of business cycle ?

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

**I.****30)**Draw a positively skewed distribution and discuss.

**3**Briefly discuss the Quartiles.

**1)****3**compute Median for the subsequent data :

**2)**Weekly Wage (Rs.) : 100 – 120 120 – 140 140 – 160 160 – 180

Number of Workers: two three five 1

**3**Exemplify coefficient of variation.

**3)****3**obtain out the determinant for the subsequent matrix.

**4)**7 eight 9

4 five 6

1 two 3

**3**compute correlation coefficient for the subsequent data.

**5)**Y one two three four 5

X six seven eight nine 10

**3**obtain the 2nd order derivative of the subsequent :

**6)**Y = (5x2 +

**x)**÷ (2x + 3x2)

**3**discuss Time Reversal Test.

**7)****3**If five unbiased coins are tossed simultaneously, obtain out the probability of

**8)**obtaining four heads.

**3**define the properties of normal distribution.

**9)**VII.Answer any 3 of the subsequent not exceeding 3 pages every :

(3×10=30 Marks)

**40)**Exemplify continuous, discrete endogenous and exogenous variables.

**4**If 0.3y + 100i – 252 = 0 and

**1)**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.

**4**If Demand = P2

**2)**100 (where P = Price), obtain out price elasticity of demand when

P = five and P = 6.

**4**The marks scored by Bindhu and Sindhu are provided beneath :

**3)**Bindhu : 50 60 70 80 90

Sindhu : 70 70 70 70 70

Who is better performer ?

**4**discuss the relationship among byx, bxy and 'r' with suitable examples.

**4)****4**compute regression coefficients ranging from avg. Productivity and Marginal

**5)**Productivity of Labour.

No. of Labourers: one two three four five 6

Total Production : 100 220 360 520 700 900

Earning: Approval pending. |