Page 223 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

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

gy (Solution): uksV
vk; dks X rFkk miHkksx O;; dks Y ekuus ijμ

X Y X = 480 Y = 390 dx 2 dxdy
dx dy

200 180 – 280 – 210 78400 58800
300 270 – 180 – 120 32400 21600
400 320 – 80 – 70 6400 5600
600 480 120 90 14400 10800
900 700 420 310 176400 130200

ΣX = 2400 ΣY = 1950 308000 227000
2400
X = = 480
5
1950
Y = = 390
5
(i) miHkksx iQyu ;k y dk x ij izrhixeu lehdj.k
Σdxdy 227000
byx = = = .74
Σdx 2 308000
Y – Y = byx (X – X )
Y – 390 = .74 (X – 480)
Y = .87X – 355.20 + 390
Y = .87X + 34.80
miHkksx iQyu osQ :i esa C = .87Y + 34.80
(ii) vkSlr miHkksx O;; = 390
vkSlr vk; = 480
C 390
vkSlr miHkksx dh izo`fÙk = = = .81
Y 480
(iii) miHkksx O;; tc vk; = 450
C = .74Y + 34.80
= 333 + 34.80 = 367.80
tc 450 #- vk; gS rks miHkksx 367.80 gksxkA
izrhixeu lehdj.k esa a rFkk b dk eku fuEu lehdj.kksa dh lgk;rk ls Hkh Kkr fd;k tk ldrk gSμ
a = Y – bX ...(i)
ΣXY − N XY
b = ...(ii)
2
ΣX − N X 2
mijksDr mnkgj.k la[;k 12 dks bu lehdj.kksa osQ iz;ksx }kjk ljyrk ls gy fd;k tk ldrk gS] igys b dk ewY;
Kkr fd;k tk,xkμ
214 − 5 × 6 × 8
b =
220 − 5 × 36

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