Question

Calculate coefficient of correlation between age group and rate of mortality from the following data?

Answer 1

Explanation:

Age of husband

(X) Deviation

x=X-X Square of deviation

x2 Age of wife

(Y) Deviation

y=Y-Y Square of deviation

y2 xy

20

23

27

31

35

38

40

42 −12

−9

−5

−1

3

6

8

10 144

81

25

1

9

36

64

100 18

20

24

30

32

34

36

38 −11

−9

−5

1

3

5

7

9 121

81

25

1

9

25

49

81 132

81

25

−1

9

30

56

90

ΣX = 256 ∑

x2=460 ∑

Y=232 ∑y2=392 ∑

xy=422

X=

ΣX

N

=

256

8

=32Y=

ΣY

N

=

232

8

=29r=

Σxy

√

Σx2×Σy2

or, r=

422

√

460×392

or, r=

422

√

180320

or, r=

422

424.64

=⇒r=+0.994

Thus, the coefficient of correlation between husband's age and wife's age is +0.994.

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