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Which of the following is true about the correlation​ coefficient?

A. Causation proves correlation.
B. Correlation proves causation.
C. We should only find correlation between two variables if they are​ quantitative, the association is somewhat​ linear, and there are no outliers.
D. We can always calculate the correlation between two variables.

1 Answer

2 votes

Final answer:

The correlation coefficient should only be found between quantitative variables with a somewhat linear association and no outliers. Correlation does not imply causation.

Step-by-step explanation:

The correct answer is C. We should only find correlation between two variables if they are quantitative, the association is somewhat linear, and there are no outliers.

Correlation coefficients are a measure of the strength and direction of the relationship between two quantitative variables. They range from -1 to 1, with -1 indicating a strong negative correlation, 1 indicating a strong positive correlation, and 0 indicating no correlation. However, it's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one caused the other.

Additionally, it is possible to calculate the correlation between two variables as long as they are quantitative. However, to get an accurate measure of the relationship, it's important to consider the linearity of the association and the presence of outliers.

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