Page 214 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV Y dk X ij izrhixeu lehdj.k
Y – Y = byx (X – X )
byx dh x.kuk fuEu lw=k }kjk dh tk,xhμ
Σdxdy
Σ−
N.Σ ( dx )( dy )
byx =
N.Σ 2 ( dx ) 2
Σdx −
12 × 1726 − ( 116)(4)
byx =
12 × 2672 − ( − 116) 2
20712 + 464
=
32064 − 13456

21176
= = 1.138
18608
Y – Y = byx (X – X )
Y – 140.33 = 1.138(X – 52.33)
Y – 140.33 = 1.138 X – 59.55
Y = 1.138X – 59.55 + 140.33
Y = 1.138X + 80.78
tc vk;q (X) 50 gS rks jDrpki
Y = 1.138 × 50 + 80.78
= 56.90 + 80.78 = 137.68

13-3 izrhixeu js[kkvksa dh jpuk (Forming of Regression Lines)

izrhixeu js[kkvksa dh jpuk izrhixeu lehdj.kksa dh lgk;rk ls dh tkrh gSA izrhixeu js[kkvksa dh jpuk dh
fof/ fuEu izdkj gSμ
(i) X dh Y ij izrhixeu js[kkμX dh Y ij izrhixeu js[kk dh jpuk osQ fy, X osQ Y ij izrhixeu
lehdj.k dk iz;ksx fd;k tkrk gS] bl lehdj.k dh lgk;rk ls Y osQ fn, gq, lHkh ewY;ksa osQ fy, X
osQ loksZÙke lEHkkfor ewY; Kkr dj fy, tkrs gSaA Y osQ okLrfod ewY;ksa ,oa muls lEcfU/r X osQ
loksZÙke lEHkkfor ewY;ksa dks js[kkfp=k ij izkafdr fd;k tkrk gS] izkIr fcUnqvksa dks feykus ls izkIr js[kk
X dh Y ij izrhixeu js[kk dgykrh gSA fiNys mnkgj.k esa X dh Y ij izrhixeu js[kk dh jpuk osQ
fy, X osQ loksZÙke ewY; fuEu izdkj Kkr fd, tk,saxsμ
X dk Y ij izrhixeu lehdj.k X = .706 Y – 46.74

Y osQ okLrfod ;k iznÙk ewY; X osQ laxf.kr ewY;
147 .706 × 147 – 46.74 = 57.04
125 .706 × 125 – 46.74 = 41.51
160 .706 × 160 – 46.74 = 66.22
118 .706 × 118 – 46.74 = 36.57
149 .706 × 149 – 46.74 = 58.45
128 .706 × 128 – 46.74 = 43.63
150 .706 × 150 – 46.74 = 59.16
145 .706 × 145 – 46.74 = 55.63

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