Question

the number of times a player has golfed in ones lifetime is compared to the number of strokes it takes the player to complete 18 holes. the correlation coefficient relating the two variables is -0.26. which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak negative correlation, and it is not likely causal. it is a weak negative correlation, and it is likely causal. it is a strong negative correlation, and it is not likely causal. it is a strong negative correlation, and it is likely causal.

Explanation:

• Strength of correlation: The correlation coefficient \(r = - 0.26\). The magnitude of \(r\) (\(\vert r\vert=0.26\)) is less than \(0.5\), so it is a weak correlation.
• Causation: Just because a golfer has played more times (\(x\)-variable), it doesn't necessarily mean that it is the sole cause of a change in the number of strokes (\(y\)-variable). There could be other factors like the golfer's natural ability, practice intensity (other - than - just the number of times played), course conditions etc. So, it is not likely causal.

Answer:

It is a weak negative correlation, and it is not likely causal.