Page 210 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV vFkkZr~ x = 4 ,oa y = 7
(c) x rFkk y dk lglEcU/ xq.kkadμ
6x + y = 31 or 6x = – y + 31
− y 31
x = + x = – .167y + 5.167
6 6

vFkkZr~ bxy ;k b = – .167
1
3x + 2y = 26 or 2y = – 3x + 26
− 3x 26
y = + or y = – 1.5x + 13
2 2
vFkkZr~ byx ;k b = – 1.5
2
r = bxy × byx or − × .167 − . 15

= – .2505 = – .5
vFkkZr~ lglEcU/ xq.kkad = – .5

izrhixeu lehdj.k dh rjg izrhixeu xq.kkad Hkh nks gksrs gSaA

13-2 izrhixeu xq.kkad dk ifjdyu (Calculation of Regression Co-efficients)

nks lEc¼ Jsf.k;ksa osQ vyx&vyx pj ewY; fn, gksus ij izrhixeu xq.kkadksa dh x.kuk dks ljy cukus osQ fy,
fuEu fof/;ksa dk iz;ksx fd;k tkrk gS] ;s fof/;k¡ izeki fopyu ,oa lglEcU/ xq.kkad Kkr djus dh jhfr;ksa
ij vk/kfjr gSaA

(1) tc okLrfod vadxf.krh; ekè; ls fopyu fy, x, gksaμtc x.kuk djrs le; fopyu okLrfod
vadxf.krh; ekè; ls fy, x, gksa rks fuEukafdr lw=kksa osQ iz;ksx }kjk izrhixeu xq.kkad dk ifjdyu fd;k tk
ldrk gSμ
X dk Y ij izrhixeu xq.kkad (bxy ;k b )
1
σ x Σ dxdy σ x L Σ dxdy O
bxy = r σ y = n. x y × σ y M N pwafd r = nx y P Q
σ
σ
.
.σσ
Σdxdy
=
.
ny 2
σ
L dy O
2
Σdxdy M 2 Σ P
= Σdy N pwafd σy = n Q
2
n ×
n
Σdxdy
=
Σdy 2
Y dk X ij izrhixeu xq.kkad (byx ;k b )
2
σy Σ dxdy σy
byx = r = ×
σ . σx . σ xx y σx
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