Madurai Kamraj University (MKU) 2007 B.A Economics quantitative techniques - Question Paper
. (7 pages)
. 6119/E22 I OCTOBER 2007
QUANTITATIVE TECHNIQUES
(For those who joined in July 2003 and after)
Time : Three hours Maximum : 100 marks
SECTION A (4 x 10 = 40 marks)
Answer any FOUR questions.
1. dCLpQ<5rrffiUuL@OTOTffLDnun-ffi6W6TT<;Slt.
4 4
x + = 3 iD|mniix> y h = -3. y x
Solve the following equations :
4 4
x + = 3 and y A = -3 . y x
(a) Find the equation of the straight line passes through the points (2, 2) and (4, 8). (5)
(b) Write the equation of the straight line of gradient 2/3 and which makes negative intercept of 4 units on the y -axis. (5)
3. $(3lp Q[rffiLJuil@6iT6TT ffrriTLiffisrr (yd) ajiflanff LDfbpLD _(rii) suifle&ff cu0DffiffiQffi(Lp!)su srrerr.
(b) Y =log(x4 -4x3 +2x2 +10).
Find the first order and th second order derivatives of the following functions :
x3 + 4x2 + 5
(a) r.=
(x2+l)3
(b) Y = log(x4 -4x3 +2x2 +10).
4. LJ6TetflllSlliJSlSlIT aS6Ulfl.
Explain the importance of statistics.
5. <i<5irori_ S.D.-g ffi6ror(5ii51ii|.. i51ifla|@aoi_Qai6ifl: 0-10 10-20 20-30 30-40 40-50
ansuQaisror: 25 40 35 60 . 30
Calculate S.D. from the following data :
C.I. 0-10 10-20 20-30 30-40 40-50 Frequency: 25 40 35 60 30
6. <Gy> QnffiffiuuL_6iTGrT oSlajcrrijffiGiflaSjBgj Glu0<seu ffijirffifl LDfbpib sirsk.
X: 50-60 60-70 70-80 80-90 90-100 100-110 f: 5 25 45 30 8 7
Find the geometric mean and the Harmonic mean from the following data :
X: 50-60 60-70 70-80 80-90 90-100' 100-110 f: 5 25 45 30 8 7
7. <$Lp<sffi6wn_ aS)GLnrf&ja56ifl6iSl0i5i <srrira) liliuirenjaiflafr 6L_@|D61|i Q(LpI)Uffi ffirraiffr.
X: 60 65 40 55 62 66 70 72 Y: 100 120 110 130 125 140 142 150
Find the Karl Pearsons coefficient of correlation from the data given below :
X: 60 65 40 55 62 66 70 72
Y : 100 120 110 130 125 140 142 150
8. (tSl) U06UaIT> LDHpuiTlL6L_SlJlfl.
ffiircoihffirit QiriirajflanffuSletr ip6iup uujafr6S)cn
(a) Explain seasonal variation. (5)
(b) Write any three uses of time series. (5)
SECTION B (3 x 20 = 60 marks)
Answer any THREE questions.
'4 -1 1 -3 11 11-1
9. crlir Aem. A =
Find the
"4 -1 1 -3 11 11-1
A =
10. <Lpffi6wn_ aSl6U[rr&j(6njffi@ ajir (psaiimiila) . GrDirCpffimlO Guirffiil665r Qurrpgja.
aj0i_Lb: 1990 1991 1992 1993 1994 1995 1996 1997 2_fbua5): 80 78 85 88 90 86 82 92
Fit a straight line trend to the following data by the method of least squares.
Year: 1990 1991 1992 1993 1994 1995 1996 1997 Production: 80 78 85 88 90 86 82 92
11. Lp<56wri_ 0SleLnrrEJfficrflaSl0i5gi atrird) lilujircmaiflair Gffirrili_<5Q(5(ip0!)iJ<s ffirrsfffr.
cr)i_: 80-90 90-100 100-110 110-120 120-130* (BuirasTflafT 5 18 35 45 28
GTfottBI ;
6T-65)L_: 130-140 140-150 150-160 160-170 jBuiraaflsn 15 8 5 3
CTbool wwiltSQDtS ;
From the data given below find the Karl Pearsons coefficient of skewness.
Weight: 80-90 90-100 100-110 110-120 120-130
No. of persons: 5 18 35 45 28
Weight: 130-140 140-150 150-160 160-170
No. of persons: 15 8 5 3
12. Y -r lIl| 50 erosilo) X -m LDIanu ffiirarr LjbpL X-dit ldIl] 40 T6tfl) F-65T llewu irasT.
X : 25 27 34 33 30 36 32 35 37 38 Y: 43 46 48 55 45 44 52 53 58 56
Estimate X when Y = 50 and estimate Y when X = 40 for the following data.
X : 25 27 34 33 30 36 32 35 37 38 Y: 43 46 48 55 45 44 52 53 58 56
13. LperrL. aSlcuriiiffiOT
(ri) Qpamp 6U0i_ld
(*%) 4 6U0i_jBLb ffp-ffiflo&uj rorl.
&J0LLD : 1990 1991 1992 1993 1994 1995 1996 1997
s_n)Uj<S : 50 60 55 62 70 72 75 65 Calculate
(a) three yearly and
(b) 4 yearly moving averages from the following
data.
Year: 1990 1991 1992 1993 1994 1995 1996 1997 Production : 50 60 55 62 70 72 75 65
14. <5<56rori_ 6iSl6ui7iBJffi(CT5<s0 euircroiSlujiT iDiprpiLb LSloiflasr
@f51u5llQl_6OTr<B0nSTT ffi6S5r<E<l($l.$.
2005 2006
Qurr06rr q51D0 |6TT6L| C)Sl65)60 )6rTO) | |||||||||||||||||||||||||
|
From the data given below compute Laspeyres and Fishers index numbers.
2005 2006
Commodity
Price Quantity Price Quantity
A |
20 |
40 |
25 |
42 |
B |
15 |
30 |
20 |
28 |
C |
22 |
25 |
25 |
20 |
D |
13 |
30 |
15 |
35 |
E |
12 |
35 |
10 |
40 |
(>;Si) (2,2) LDrbpib (4,8) 6T65rn) L|6rT6ifleTT euLliurraff
Qffebgjih Gi5iTG<5mli65i <? Login'Ll rnLfiS)!_sr(Lgg],
(b) & CjsiKSamlin-QiT ffirujaj 2/3 erwpLD y QeuL -4 crejrgiLh I0uiS1!t ffLDsTUirLl6ff)i_
er(Lpgj.
Attachment: |
Earning: Approval pending. |