Which correlation is most likely a causation?

the positive correlation between the sales of jeans and the sales of slacks in a department store

the positive correlation between the number of aisles and the number of products in the supermarket

the positive correlation between the number of swimmers and the number of sunbathers at the beach

the positive correlation between the number of hours spent practicing archery and the number of bull's-eyes the archer can hit

It is usually noted that correlation does not imply causation, but there are some correlations which are causation as well.

A correlation is when there is a relationship between two variables while causation is when the outcome of one variable affects the outcome of the other variable.

From the first option, though there may be a positive relationship between sales of jeans and sales of slacks, but the purchase of jeans does not mean that you have to purchase a slack, thus, there is no causation.

For the second option, though there may be positive relationship between the number of aisles and the number of products in a supermarket, but a supermarket can have many aisles with few products, i.e. many aisles does not automatically imply many products, thus, there is no causation.

For the third option, though there may be a positive relationship between the number of swimmers and the number of sunbathers at a beach, but all swimmers in a beach are not sunbathers and all sunbathers are not swimmers. Thus, a swimmer does not imply a sunbather and a sunbather does not imply a swimmer. Thus, there is no causation.

For the last option, it is generally known that the more you practice an activity, the better you get in that activity. Thus, there exist a relationship between the number of hours spent practicing archery and the number of bull's-eyes an archer can hit and there also exist causation because the number of bull's-eye an archer can hit is directly dependent on the number of hours the archer spent practicing.

Therefore, the correlation that is most likely a causation is the positive correlation between the number of hours spent practicing archery and the number of bull's-eyes the archer can hit.

Here are the answers to the ones that i could see.