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podryga [215]
3 years ago
13

Twenty different statistics students are randomly selected. For each of​ them, their body temperature (degrees°​C) is measured a

nd 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.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.
Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer: 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.

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Answer: A. 9x^2 - 16y^2 .

Step-by-step explanation:

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From all the options only option A has both terms square and they minus sign between them.

Also, 9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)

Here a= 3x and b= 4

Hence, the correct answer is A. 9x^2 - 16y^2 .

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