Questions: If we find that there is a linear correlation between the concentration of carbon dioxide in our atmosphere and the global temperature, does that indicate that changes in the concentration of carbon dioxide cause changes in the global temperature? Choose the correct answer below. A. Yes. The presence of a linear correlation between two variables implies that one of the variables is the cause of the other variable. B. No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable.

The answer is the second one (or B): No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable.

Explanation:

• Option A: Yes. The presence of a linear correlation between two variables implies that one of the variables is the cause of the other variable.

  • This option is incorrect because correlation does not imply causation. Just because two variables are correlated does not mean that one causes the other. There could be other underlying factors or variables that influence both.

• Option B: No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable.

  • This option is correct. A linear correlation indicates a relationship between two variables, but it does not establish a cause-and-effect relationship. Other methods, such as controlled experiments or longitudinal studies, are needed to determine causation.

Summary: The correct answer is B. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable. Correlation alone cannot establish causation.