A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below.  Height          Head Circumference  27                        17.5 25                        17 26.5                     17.2 25.5                      17 27.75                    17.4 26.25                   17.4  26                         17.1 27.25                    17.4   data table 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.  r = _

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. 


Height          Head Circumference 

27                        17.5

25                        17

26.5                     17.2

25.5                      17

27.75                    17.4

26.25                   17.4 

26                         17.1

27.25                    17.4

 

data table

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. 
r = ____

(round to three decimal places as needed)

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