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Correlation

Question
CBSEENST11024530

Calculate height and weight of the students of a class.

Height (in inches)

57

59

62

63

64

65

55

58

57

Weight in (Pounds)

113

117

126

126

130

129

111

116

112

Solution

X

dx (x-60)

d2x

y

dy(y–120)

d2y

dxdy

37

–3

9

113

–7

49

21

59

–1

1

117

–3

9

3

62

+ 2

4

126

+ 6

36

12

63

+ 3

9

126

+ 6

36

18

64

+ 4

16

130

+ 10

100

40

65

+ 5

25

129

+ 9

81

45

55

–5

25

111

–9

16

6

58

–2

4

116

–4

16

8

57

–3

9

112

–8

64

24

 

ΣdX = 0

Σd2X = 100

dy = 0 d2y = 472

ΣdXd = 216