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.

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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                            17.1

27.25                      17.4

 

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

 

e) Convert the data to centimeters (1 inch = 2.54 cm) and recompute the linear correlation coefficient. What i effect did the conversion have on the linear correlation coefficient?

Convert the first four data values to centimeters. 

______       ______
______       ______
______       ______
______       ______

(Type integers  or decimals. Do not round. List the terms in the same order as they appear in the original list). 

Expert Solution
Step 1

Solution

Given that

Height                 Head Circumference

27                           17.5

25                           17

26.5                        17.2

25.5                        17

27.75                       17.4

26                            17.1

27.25                      17.4

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