Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(°​C) is measured and their head circumference​ (cm) is measured. If it is found that r=​0, does that indicate that there is no association between these two​ variables? Choose the correct answer below.     A. ​No, because r does not measure the strength of the​ relationship, only its direction.   B. ​No, because if r=​0, the variables are in a perfect linear relationship.   C. ​Yes, because if r=​0, the variables are completely unrelated.   D. ​No, because while there is no linear​ correlation, there may be a relationship that is not linear.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(°​C) is measured and their head circumference​ (cm) is measured. If it is found that r=​0,
does that indicate that there is no association between these two​ variables?
Choose the correct answer below.
 
 
A.
​No, because r does not measure the strength of the​ relationship, only its direction.
 
B.
​No, because if
r=​0,
the variables are in a perfect linear relationship.
 
C.
​Yes, because if
r=​0,
the variables are completely unrelated.
 
D.
​No, because while there is no linear​ correlation, there may be a relationship that is not linear.
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