Madurai Kamraj University (MKU) 2007 B.A Economics quantitative techniques - Question Paper

(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.

, . *³ + 4x¹ +5

ⁱ⁼W

(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.

9.    crlir    Aem. A =

Find the

"4 -1 1 -3 11 11-1

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

From the data given below compute Laspeyres and Fishers index numbers.

2005    2006

Commodity

Price Quantity Price Quantity

1

   (>;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.