If two variables are correlated, is it necessary that they have a linear relationship?

Yes
nan
nan
nan

The correct answer is B. No.

Correlation is a measure of the strength of the linear relationship between two variables. It does not measure the strength of any other type of relationship, such as a nonlinear relationship.

For example, the height and weight of adults are positively correlated, but the relationship is not linear. Taller adults tend to weigh more, but there are many exceptions. For example, a professional basketball player might be very tall and very thin.

Another example is the relationship between the number of hours a student studies and their test score. This relationship is also positively correlated, but it is not linear. Students who study for a few hours will typically score higher on a test than students who do not study at all. However, there is a limit to how much studying can improve a student’s score. After a certain point, additional studying will not result in a higher score.

In conclusion, correlation does not imply causation. It is possible for two variables to be correlated even if there is no causal relationship between them.

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