linear correlation coefficient, statistics homework help

linear correlation coefficient, statistics homework help

A pediatrician wants to determine the relation that may exist between a​ child’s height and head circumference. She randomly selects 8​ children, measures their height and head​ circumference, and obtains the data shown in the table.

Height_(inches)Head_Circumference_(inches)

27.75                                         17.4

25.5                                            17.1

26                                               17.2

25                                                16.9

27.75                                            17.5

26.75                                            17.3

26.25                                             17.2

26.75                                             17.4

Table of 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

Compute the linear correlation coefficient between the height and head circumference of a child.

I attached the scatter diagram.

r = __ (Round to three decimal places as needed.)

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