Page 354 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV fVIi.kh % mi;qZDr vkadM+ksa esa ,d o"kZ osQ fy, osQoy ,d gh voyksfdr ewY; fn;k x;k gS vr% ;gka vkrZo fopj.k
Kkr ugha fd;s tk ldrs gSaA
;fn lw=k % O = T + S + C + I
⇒ O – T = S + C + I (vYidkyhu mPpkopu)
⇒ O – T = C + I

;fn ;g eku fy;k tk; fd dky la[;k esa vkrZo fopj.k ugha gSaA nk;sa i{k dks pØh; mPpkopu dh eki ekuk tk
ldrk gSA
mnkgj/k (Illustration) 9: fuEu vk¡dM+ksa osQ U;wure oxZ jhfr }kjk vYidkyhu mPpkopu ;k pØh; ifjorZu Kkr
djsa %

o"kZ : 19901991 1992 1993 1994 1995 1996 1997
ewY; : 24 19 25 24 23 20 25 30
o"kZ − 1993 5
.
gy (Solution): ekuk x =
5 .
o"kZ y x x 2 xy T = a + bx y – T
(i) (ii) (iii) (iv) (v) (vi) (vii) = (ii) – (vi)

1990 24 – 7 49 – 168 21.42 2.68
1991 19 – 5 25 – 95 22.08 – 3.08
1992 25 – 3 9 – 75 22.75 2.25
1993 24 – 1 1 – 24 23.42 0.58
1994 23 1 1 23 24.08 – 1.08
1995 20 3 9 60 24.75 – 4.75
1996 25 5 25 125 25.42 – 0.42
1997 30 7 49 210 26.08 3.92

;ksx 190 0 168 56 190.00
y = a + bx
Σy 190
⇒ Σy = na + bΣx ⇒ a = = = 23.75
n 8
Σxy 56
Σxy = aΣx + bΣx 2 ⇒ b = = = 0.33
Σx 2 108
bl izdkj
y = 23.75 + 0.33x

x osQ eku – 7, – 5, – 3, – 1, 1, 3, 5, 7 j[kus ij]
izo`fÙk ewY; T mi;qZDr lkj.kh osQ LrEHk (vi) esa fn;s x;s gSaA LrEHk (ii) osQ ekuksa esa LrEHk (iv) osQ ekuksa dks ?kVkdj
LrEHk (vii) izkIr fd;k x;k gSA LrEHk (vii) osQ eku gh vHkh"V vYidkyhu mPpkopu osQ eki gSaA ;g ekurs
gq, fd Js.kh esa vkrZo fopj.k ugha gSaA ;gh eki pØh; mPpkopu osQ eki ekus tk ldrs gSaA
;fn xq.kkRed izfrn'kZ fy;k tk; rks
O = T × S × C × I

348 LOVELY PROFESSIONAL UNIVERSITY