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 Head Circumference. (inches) (inches) 27.5 25.75 26.5 25.25 27.5 26.75 17.3 16.9 17.3 16.9 17.5 17.4 26 27 25 D 17.1 17.3 Click here to see the Table of Critical Values for Correlation Coefficient (d) Determine if a linear relation exists between height and head circumference (Note that the linear correlation coefficient between the height and head circumference of a child is r=0.888) Find the critical value The critical value is (Round to three decimal places as needed.) Does a linear relation exist between height and head circumference? OA. Yes, there appears to be a positive linear association because ris positive and is greater than the critical value. OB. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. OC. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value OD. No, there is no linear association since r is positive and is less than the critical value

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The rest of the critical values for correlation coefficient for 29 is 0.367 and for 30 is 0.361

plug 29 and 30 to the picture I sent for the rest of the table

iti
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
Print
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
Done
X
Transcribed Image Text:iti 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 Print 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 Done X
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 Head Circumference
(inches) (inches)
27.5
25.75
26.5
25.25
27.5
26.75
26
27.25
17.3
16.9
17.3
16.9
17.5
17.4
17.1
17.3
Click here to see the Table of Critical Values for Correlation Coefficient.
(d) Determine if a linear relation exists between height and head circumference. (Note that the
linear correlation coefficient between the height and head circumference of a child is r=0.888)
Find the critical value
The critical value is
(Round to three decimal places as needed.)
Does a linear relation exist between height and head circumference?
QA. Yes, there appears to be a positive linear association because ris positive and is
greater than the critical value.
OB. Yes, there appears to be a positive linear association because r is positive and is less
than the critical value.
OC. Yes, there appears to be a negative linear association because ris negative and is less
than the negative of the critical value.
OD. No, there is no linear association since r is positive and is less than the critical value
Transcribed Image Text: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 Head Circumference (inches) (inches) 27.5 25.75 26.5 25.25 27.5 26.75 26 27.25 17.3 16.9 17.3 16.9 17.5 17.4 17.1 17.3 Click here to see the Table of Critical Values for Correlation Coefficient. (d) Determine if a linear relation exists between height and head circumference. (Note that the linear correlation coefficient between the height and head circumference of a child is r=0.888) Find the critical value The critical value is (Round to three decimal places as needed.) Does a linear relation exist between height and head circumference? QA. Yes, there appears to be a positive linear association because ris positive and is greater than the critical value. OB. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. OC. Yes, there appears to be a negative linear association because ris negative and is less than the negative of the critical value. OD. No, there is no linear association since r is positive and is less than the critical value
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 15 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman