correlation coefficient statistics homework help

For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y.

The data set:

xy

23

62

16

79

95

Critical values table:

Critical Values for Correlation Coefficient

n

3    0.997

4    0.950

5    0.878

6    0.811

7    0.754

8    0.707

9    0.666

10  0.632

11  0.602

12  0.576

13  0.553

14  0.532

15  0.514

16  0.497

17  0.482

18  0.468

19  0.456

20  0.444

21  0.433

22  0.423

23  0.413

24  0.404

25  0.396

26  0.388

27  0.381

28  0.374

29  0.367

30  0.361

I’ve attached the scatter diagram of the data.

Compute the correlation coefficient.

The correlation coefficient is r = __ (Round to three decimal places as needed.)