Page 202 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV fd Lora=k bdkb;ksa esa ifjorZu gksus ij vkfJr bdkb;ksa esa D;k ifjorZu visf{kr gSA ;fn b dk ewY; /ukRed
gks] rks js[kk dk <yku ck;sa ls nk;sa mQij dh vksj gksxk] ijUrq b osQ ½.kkRed gksus ij js[kk uhps dh vksj <yku
okyh gksxhA
layXu izn£'kr fcUnqjs[kk fp=k esa y = a + bx(y = 2 + 2x) lehdj.k Y
10
ls cuh oØ esa ‘a’ ,oa ‘b’ dh fLFkfr dks Li"V fd;k x;k gS %
y = 2 + 2x 8 x
x y y =2+2
0 2 6
1 4 b =2(<ky)
2 6 4
3 8
vUr% [k.M
4 10 2
a=2
Lo&ewY;kadu (Self Assessment) 0 X
1 2 3 4
mnkgj.k (Illustration) 1: fuEu vkadM+ksa ls vkxjk esa 70 #i;s ewY; osQ laxr fnYyh esa egÙke lEHkkfor ewY;
Kkr dhft, %
vkxjk fnYyh
(Agra) (Delhi)
ekè; ewY; [Average Price (Rs.)] 65 67
izeki fopyu (Standard Deviation) 2.5 3.5

nksuksa LFkku osQ ewY;ksa esa lglEcU/ xq.kkad + .8
gy (Solution):
eku yks x = vkxjk osQ ewY;] y = fnYyh osQ ewY;
Kkr gS % x = 65, y = 67, σ = 2.5, σ = 3.5, r = + .8
y
x
y dk x ij izrhixeu lehdj.k (y on x)
σ
y − y = r y x ( − x)
σ x

3.5
−
eku j[kus ij] y − 67 = .8 (70 65 )
2.5
;k y – 67 = .8 × 1.4 × 5
;k y – 67 = 5.6 ;k y = 5.6 + 67 = 72.6
∴ fnYyh esa ewY; = 72.6 #i;s gS tcfd vkxjk esa ewY; 70 #i;s gksA
mnkgj.k (Illustration) 2: fuEufyf[kr eku fn, gq, gSa (Given the following values :

xsgwa mit vkSlr izeki fopyu
(Yield of wheat) (Mean) (Standard deviation)
{ks=k (fdxzk izfr bdkbZ) [Area (kg per unit)] 10 8
o"kkZ (lseh- esa) [Rain (in cm.)] 8 2

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