Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

Suppose that there were a positive correlation between the variables u and v If v is 24 when u is 10 which of these is most likely to be the value of v when u i class=

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Answer:

The correct answer is 48, given by option c.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.

If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

24 - 10

x - 20

Applying cross multiplication:

[tex]10x = 24*20[/tex]

Simplifying both sides by 10:

[tex]x = 24*2 = 48[/tex]

The correct answer is 48, given by option c.