Calculate the correlation coefficient between X and Y and comment on their relationship

X

1

3

4

5

7

8

Y

2

6

8

10

14

16

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Solution

X

Y

XY

X²

Y²

1

2

2

1

4

3

6

18

9

36

4

8

32

16

64

5

10

50

25

100

7

14

98

49

196

8

16

128

64

256

As the correlation coefficient between the two variables is +1, so the two variables are perfectly positive correlated.

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x

y

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