Page 219 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—13% lk/kj.k izrhixeu xq.kkad fof/

X = .72 × 20 + 12.08 uksV
X = 14.4 + 12.08
X = 26.48 o"kZ gksxhA

ifr (X) dh vk;q 30 o"kZ gks rks iRuh (Y) dh vk;qμ
Y = .47X + 8.03
Y = .47 × 30 + 8.03
Y = 14.10 + 8.03

Y = 22.13 o"kZ gksxhA

xq.kkad fdls dgrs gSa\

13-5 U;wure&oxZ jhfr }kjk izrhixeu lehdj.k Kkr djuk (Find the Equation of
Regression by Least-Square Method)

loksZi;qDr js[kk,¡ U;wure oxZ i¼fr }kjk [khaph tkrh gSa] izrhixeu lehdj.k bu js[kkvksa osQ gh lehdj.k gksrs
gSa] vr% i¼fr }kjk izrhixeu lehdj.k Hkh Kkr fd, tk ldrs gSaA bl i¼fr dk o.kZu lglEcU/ okys vè;k;
esa Hkh fd;k tk pqdk gSA izrhixeu lehdj.k Kkr djus dh izfØ;k fuEu izdkj gSμ
2
(i) fn, gq, ewY;ksa dh lgk;rk ls ΣX, ΣY, ΣXY, ΣY rFkk ΣX Kkr dj fy, tkrs gSaA
2
(ii) ‘a’ ,oa ‘b’ dh x.kuk fuEu izlkekU; lehdj.kksa dh lgk;rk ls dh tkrh gSμ
X dk Y ij izrhixeu
X= a + by
Σx = Na + bΣy ...(i)
Σxy = aΣy + bΣy 2 ...(ii)

Y dk X ij izrhixeu
Y= a + bx
Σy = Na + bΣx ...(i)
Σxy = aΣx + bΣx 2 ...(ii)
fuEu mnkgj.k }kjk bl izfØ;k dks Li"V fd;k x;k gSμ
mgkgj.k (Illustration) 6: f}pj lead fn, gq, gSaμ
X Y
1 6
5 1
3 0
2 0
1 1
1 2
7 1
3 5

LOVELY PROFESSIONAL UNIVERSITY 213