Page 153 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—9% lglacaèk% ifjHkk"kk] izdkj ,oa vFkZ'kkfL=k;ksa dh iz;qDr fof/;k¡

Σ(Y − Y ) 2 568 uksV
2
Sy = c = = 81.14
N 7
Σ(Y − Y) 2 1016
2
σ = N = 6 = 145.14
y
.
Sy 2 8114
r = 1 − = 1−
.
σ y 2 145 14
= 1 558−. = .44 = + .66
y?kq jhfr (Sort-cut Method)μU;wure oxZ jhfr esa y?kq jhfr osQ iz;ksx }kjk Hkh lglEcUèk xq.kkad dh x.kuk
2
2
dh tk ldrh gS] blesa Y , σ ,oa Sy dh vyx ls x.kuk djus dh vko';drk ugha gksrh gSA blesa osQoy
c
y
Y osQ ewY;ksa dk oxZ vkSj dj fy;k tkrk gS] mlosQ ckn fuEu lw=k osQ iz;ksx }kjk lglEcUèk xq.kkad dh x.kuk
dh tkrh gSμ
ay + Σ b xy − Σ N cy 2
r =
2
Σ y − N cy 2
Cy = y Js.kh osQ vadxf.krh; ekè; ,oa dfYir eè; fcUnq dk LrjA
y?kq jhfrμ
gy (Solution):
lglEcUèk xq.kkad dh x.kuk
U;wure oxZ jhfrμy?kq jhfr

x S y 2
1 160 25,600
2 180 22,400
3 184 33,856
4 166 27,556
5 188 35,344
6 198 39,204
7 184 33,856
1260 2,27816
Σy Σy 2

vU; ewY; dh x.kuk fiNys mnkgj.k esa dh xbZ gSμ
a = 164, b = 4 Σy = 1260
2
Σxy = 5152 Σy = 2,27,816 N = 7
fiNys mnkgj.k esa dksbZ dfYir ekè; ugha fy;k x;k gS] vr% cy = 180 gh gksxkμ
ay + Σ b xy − Σ N cy 2
r =
2
Σ y − N cy 2
(164 × 1260 ) + (4 × 5152 ) − (7 × 180 2 )
r =
(,27 ,816 − ) (7 × 180 2 )
2

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