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

X

–3

–2

–1

1

2

3

Y

9

4

1

1

4

9

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Solution

X

Y

XY

X²

Y²

–3

9

–27

9

81

–2

4

–8

4

16

–1

1

–1

1

1

1

1

1

1

1

2

4

8

4

16

3

9

27

9

81

As the value of r is zero, so there is no linear correlation between X and Y

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