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NDA Math Statistics
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© examsnet.com
Question : 66
Total: 100
If the covariance between x and y is 30, variance of x is 25 and variance of y is 144, then what is the correlation coefficient?
[NDA II 2016]
0.4
0.5
0.6
0.7
Validate
Solution:
c
o
v
(
x
,
y
)
=
30
var
(
x
)
=
25
;
var
(
y
)
=
144
⇒
r
(
x
,
y
)
=
c
o
v
(
x
,
y
)
√
v
a
r
(
x
)
⋅
v
a
r
(
y
)
⇒
r
(
x
,
y
)
=
30
√
25
×
144
=
30
5
×
12
=
0.5
© examsnet.com
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