Page 228 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV Σxy 92
byx = = = 0.568
( Σx) 2 162
x dk y ij izrhixeu xq.kkad
Σxy 92
bxy = = = 0.414
Σy 2 222
(ii) lg&lEcUèk xq.kkad dh x.kuk

r = bxy × byx
= .568 × .414 = .4849

(iii) lehdj.kksa dh x.kuk
Σx 350 Σy 310
x = = = 35 y = = = 31
N 10 N 10
x dk y ij lehdj.k y dk x ij lehdj.k
x – x = bxy (y – y ) y – y = byx (x – x )
x – 35 = 0.414 (y – 3) y – 31 = 0.568 (x – 35)
x – 35 = 0.414y – 12.834 y – 31 = 0.568x – 19.88
x = 0.414y + 12.834 + 35 y = 0.568x – 19.88 + 31
x = 0.414y + 22.166 y = 0.568x + 11.12
2
2
izrhixeu xq.kkadksa dks Kkr djus osQ fy, N Σ x o Σ y osQ eku Kkr djuk vko';d gSA
Σx .50
N = = = 10
x 5
Σy F
yI
Σx F
xI
Σ 2 −G J 2 Σ 2 −G J 2
2
ox = N H K σ y = N H K
2
N
N
Σx F 50I 2 Σy F 60I 2
2
2
−G J
−G J
4= 10 H 10K 9= 10 H 10K
2
Σx 2 Σ 2 Σy y − 360
4= – 25 9 = − 6 () 2 =
10 10 10
2
Σx − 250
2
4= 90 = Σy – 360
10
40 + 250 = Σx 2 90 + 360 = Σy 2
2
2
Σx = 290 Σy = 450
x dk y ij x dk y ij
Σ Σxy × x × Σ − N y Σ Σxy × x × Σ − N y
bxy = bxy =
Σ 2 − N ( Σy × y) 2 Σ 2 − N ( Σx × x) 2
350 × − p 50 × 60 350 × 10 − 50 × 60
= =
450 × 10 − ( 60) 2 290 × 10 − ( 50) 2
3 500 − 3 000 3 500 − 3 000
,
,
,
,
= =
4 500 − 3 600 2 900 − 2 500
,
,
,
,
222 LOVELY PROFESSIONAL UNIVERSITY