Question

Compute and interpret the (i) covariance, and (ii) correlation coefficient for the

following data:

xi 6 11 15 21 27

yi 6 9 6 17 12​

Answer 1

Step-by-step explanation:

Five observations taken for two variables follow.

xi 6 11 15 21 27 yi 6 9 6 17 12

x

i

y

i

6

6

11

9

15

6

21

17

27

12

a. Develop a scatter diagram for these data.

b. What does the scatter diagram indicate about a relationship between x and y?

c. Compute and interpret the sample covariance.

d. Compute and interpret the sample correlation coefficient.

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