Madurai Kamraj University (MKU) 2007 B.A Economics Quantitative Tecniques MKDDU - Question Paper
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. (7 pages)
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@OTOTffLD6inun-(ii)ffi6W6rT<;Sit.
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. (SiCLp Q[rffiuuil@6tT6TT ffrriTLiffiisrragj dp-sa) ajifloDff iDfbpii) paiffrLirLb suifle&ff cu0DffiffiQffi(Lp!)su strsiffr.
(b) Y= logOc4-4x3+2*2+10).
Find the first order and the second order derivatives of the following functions :
x3 + 4x2 + 5
(a) r.=
(b) Y = log(x4 -Ax3 +2x2 +10).
4. qaTetfluSlujsiSlsiT (y5<5<fluj]6u0n aSl&Jifl. Explain the importance of statistics.
5. S.D.-g ffi6ror(5li51ii|.. i51ifla|@aoi_Qai6ifl: 0-10 10-20 20-30 30-40 40-50
lansoQaiswr: 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. <$Lp<sffi6wn_ aS)GLnrr&jffi6tfl6iS)0r5gji <srrira) ilujirenjasflarr 6L_@!D6i|<5 Q(Lpi)Uffi ffirraiffr.
X: 60 65 40 55 62 66 70 72
Y: 100 120 110 130 125 140 142 150
Find the Karl Pearsons coefficient of correlation from the data given below :
X: 60 65 40 55 62 66 70 72
Y: 100 120 110 130 125 140 142 150
8. (tSi) u06uajir> LDirpuirileBueSlajifl.
('=b) snwiiwirir QgsiriirajiflsoffuSletr Qp6iup uiLiafr6S)cn r(Lpg|.
(a) Explain seasonal variation. (5)
(b) Write any three uses of time series. (5)
SECTION B (3 x 20 = 60 marks)
Answer any THREE questions.
'4 -1 1 -3 11 11-1
9. Atrem. A =
of the matrix A.
inverse
A =
Find the
"4 -1 1 -3 11 11-1
4
10. <Lpffi6wn_ aSl6U[rrj(6r5ffi@ 6uir<s (LpaDrrjuSleb . GrDirCpffimlO Cun\5<H0S)65T Qurngigjs.
6U0i_ld: 1990 1991 1992 1993 1994 1995 1996 1997 a_rbug)$: 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) iSiLnrewasflafr Ga;rnli_<5Q(5(ip0S)6!j<s arrsfffr.
cr)i_: 80-90 90-100 100-110 110-120 120-130* (BuirasTflafT 5 18 35 45 28
GTfottttl fcOftfl&SlDdi ;
6rDL_: 130-140 140-150 150-160 160-170 iBuiraoflan 15 8 5 3
6Vtoool WwDtSQDtS ;
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 -65T LDIuLj 50 CT65fl6b X -0H LDIuaOUffi ffilTSiffr LCjbpLD X -si ld<ul] 40 sretfla) Y -ott iDluewua srrem.
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. aSl&JFfiiffiOTffigj
(rl) Qpcimp 6U0I_LD
(*%) 4 6U0i_jBLb ffp-ffifloouja; ffi6ror<51.
&iLLb: 1990 1991 1992 1993 1994 1995 1996 1997
2_ji)u$l: 50 60 55 62 70 72 75 65 Calculate
(a) three yearly and
(b) 4 yearly moving averages from the following
data.
Year: 1990 1991 1992 1993 1994 1995 1996 1997 Production: 50 60 55 62 70 72 75 65
14. <5<56rori_ Sl6ui7ijffi(CT5<s0 axrcroiSliuiT iDrrjrpiLb LSloiflasr
@1u5llQl_6OTT<B0nSTT ffi6S5r<E<l($l.$.
2005 2006
|
Qurr06rr q51D0 |6TT6L| 6)5165)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) 6T65TJD L|erT6iflerT 6uy51ujrrsff Qffebgjih Gi5iTG<5mli65i ffLDOTTurnlaoL er(Lgg],
(b) & CjsiKSamlin-Qjr ffirujaj 2/3 erwpLD y QeuL -4 ersnfpiib !0uiS1st ffLDsTuirLl6ff)i_
er(Lpj.
|
Attachment: |
| Earning: Approval pending. |
