Page 221 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

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

36 = 16a + 68b uksV
46 = 16 + 32b
– – –
– 10 = 36b
10
b = – = – .278
36
lehdj.k (i) esa b dk eku j[kus ij
23 = 8a + (16 × – .278) or 23 = 8a – 4.448
– 8a = – 4.448 – 23 or – 8a = 27.448 or a = 3.431
X= a + bY
X = 3.431 – .278Y
tc Y dk ewY; 2.5 gS rks X dk ewY;
X = 3.431 – .278Y × 2.5 = 3.431 – .695 = 2.736
dkyZ fi;lZu dk lglEcU/ xq.kkad
r = b × b 2
1
X dk Y ij izrhixeu lehdj.k X = 3.431 – .278Y gS vFkkZr~
b = –.278
1
Y dk X ij izrhixeu lehdj.k Y = 2.874 – .304X gS vFkkZr~
b = .304
2
r = – 278 × . 304 = − .084512 = – .2907
mgkgj.k (Illustration) 7: fuEu tkudkjh osQ vk/kj ij] izrhixeu lehdj.kksa dh x.kuk dhft,μ
ΣX = 30 ΣY = 40 ΣXY = 214
2
ΣX = 220 ΣY = 340 N = 5
2
lglEcU/ xq.kkad Hkh Kkr dhft,A
gy (Solution): bls U;wure oxZ jhfr }kjk gy fd;k tk,xkA
X= a + by
a rFkk b dk eku fuEu izdkj Kkr fd;k tk,xkμ
ΣX= Na + bΣY ...(i)
ΣXY = aΣY + bΣY 2 ...(ii)
30 = 5a + 40b
214 = 40a + 340b
lehdj.k (i) dks 8 ls xq.kk djus ij
240 = 40a + 320b
– – – ?kVkus ij

– 26 = 20b
b = – 1.3
b dk eku lehdj.k (i) esa j[kus ij
30 = 5a + 40 × – 1.3
30 = 5a – 52

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