Page 190 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV b dk eku leh- (1) esa j[kus ij]
90 = 10a + 70 × 1.25
90 = 100 + 87.5
10a = 90 – 87.5
10a = 2.5

.
25
a = = a = .25
10
2
2
sy o oy dh x.kuk
X Y y (y – y ) (y – y ) 2 (y – y ) (y – y ) 2
c c c
7 10 9.00 1.00 1.00 + 1 1
9 12 11.50 0.50 .2500 + 3 9
5 6 6.50 – .50 .2500 – 3 9
8 9 10.25 – 1.25 1.5625 0 0
6 8 7.75 0.25 0.0625 – 1 1
9 11 11.50 – 0.50 – 2500 2 4
7 10 9.00 + 1.00 1.0000 1 1
4 5 5.25 – 0.25 0.0625 – 4 16
8 10 10.25 – 0.25 0.0625 1 1
7 9 9.00 0.00 0.0000 0 0
N = 10 Σy = 90 Σy = 90 0 4.5000 0 42
c
Σy 90 Σ(y − y c ) 2 4.5000
2
Y = N = 10 = 9 Σy = N = 10 = 0.45
Σ(y − ) y 2 42
2
oy = = = 4.2
N 10
F 2 I 045I
.
.
r = G H 1 − sy 2J = 1 −G F . J = 420 − 0 45
420K
K
H .
.
420
oy
.
375
= = 0 89286 = r = .945
.
.
420
vr% X vkSj Y esa vR;f/d ek=kk dk /ukRed lg&lEcU/ gSA
(ii) fu'p;u xq.kkad (Coefficient Determination)
2
r = .8929
vr% Y-Js.kh esa gksus okys ifjorZuksa dk yxHkx 89% X-Js.kh osQ ifjorZuksa osQ dkj.k gS rFkk 'ks"k 11% vU;
ifjorZuksa osQ dkj.k gSA
(iii) vLi"Vhdj.k izlj.k
Σ(y − y ) 2
2
sy = c = 0.45
N
(iv) vlg&lEcU/ xq.kkad
2
u = 1 − r = 1 − 0 8929 = 01071 = .3273
.
.
184 LOVELY PROFESSIONAL UNIVERSITY