Page 170 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

vFkZ'kkL=k esa lkaf[;dh; fof/;k¡

uksV Σdd y 35 35
x
r = = = = +.6149 = 0.61
Nσσ y 10 × . × 1732 3 286 56 91352
.
.
x
Js.kh X rFkk Js.kh Y esa eè; Lrj dk /ukRed lglEcU/ gSA
oSdfYid lw=k %
Σdd
r = x y
Σ 2 x Σd . d 2 y
35 35 35
= = = = .6149 = 0.61
.
30 × 108 3240 56 92
ΣX 610 ΣY 640
X = = = 61 Y = = = 64
N 10 N 10
Σdd y
x
r =
Σ x 2 Σd × d 2 y
,
3535
=
3 490 × 4 390
,
,
43 535 3 535
,
,
= = = 0.903
,
59 08 × 66 25 3 914 05
.
.
.
mnkgj.k (Illustration) 4: fuEu vkadM+ksa ls X, Y, σσ rFkk r ifjdfyr dhft,μ
x,
y
x : 58 50 53 60 63 55 60 59 61 51
y : 115 110 121 120 124 112 118 115 118 117
gy (Solution):
X d = X – 57 d x 2 Y d = Y – 117 d y 2 d d
x y
y
x
58 1 1 115 – 2 4 – 2
50 – 7 49 110 – 7 49 49
53 – 4 16 121 4 16 – 16
60 3 9 120 3 9 9
63 6 36 124 7 49 42
55 – 2 4 112 – 5 25 10
60 3 9 118 1 1 3
59 2 4 115 – 2 4 – 4
61 4 16 118 1 1 4
51 – 6 36 117 0 0 0

570 0 180 1,170 0 158 95

,
ΣX 570 ΣY 1170
X = = = 57 Y = = = 117
N 10 N 10

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