31

33.

34

36.

1) 91807

64

ction 49° 3

Find the elasticity of demand for the demand fun ற

Define Skewness, What are the various measures of skewness ?

Given the regression lines 9x ~ 4y + 15 = Oand 26x. 6y- 7 = 0. What are the regression co-efficients

yonyand y ona?

Explain the method of Lorenz curve and Gini Coefficient.

193 bec]
if A- 1 6 c+a)\,show that| A |=0.
[1 € a+b

Explain rank correlation coefficient.
(6 x 5 = 30 marks)

Section D (Essay Type)

Answer any two questions.
Each one carries 12 marks.

Use Cramer’s rule, solve the equations to get the values of x, y and 2.

B3x+y+2=1;2x+2z=0;5x+y4 2-2

Define Kurtosis. How is it measured ? Find the co-efficient of kurtosis to the following data -
Class : 100-120 120-140 140-160 160-180 180-200 200-220 220-240
Frequency 1 2 6 20 11 3 2

Matrix A and B are given by A= | 0 1 B=| | ¢ then show that

(i) [A+B] ¢ A? + 2AB+ B? ; and

(1) (A+B)(A~-B)+ A? - B®.

Explain dir ect and inverse correlation, Obtain Pearson’s co-efficient of correlation between x and v
using the following data : ١

x : 12 20 15 22 18 24 20 12 15 22
y : 30 36 28 36 29 39 30 25 30 38

(2 x 12 = 24 marks)