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A firm intends studying the relationship between the age (in years) and the annual repair cost (in thousands of rand), of the machines in their factory.  A sample of eight machines was randomly selected and the following data were collected:

 

Age of machine (in years)

x

Repair cost (in thousands of rand)

 y

3

6

8

4

7

10

1

4

4

10

11

7

10

16

2

6

 

Determine the correlation coefficient of a linear regression between x and y. What relationship exists between x and y?

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