Twenty different statistics students are randomly selected. for each of them, their body temperature (degrees°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 twovariables?
choose the correct answer below.
a. yes, because if r =0, the variables are completely unrelated.
b. no, because while there is no linear correlation, there may be a relationship that is not linear.
c. no, because if r=0,the variables are in a perfect linear relationship.
d. no, because r does not measure the strength of the relationship, only its direction.

the answer is b.

r = 0 means that there is not a linear relationship between both variables, but there are other types of relationships that can be happening here.

you for example can have a quadratic relation or something weirder.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3