Question

data was collected at a pool. it showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. what is likely true?
there is no correlation between age and length of stay.
there is a correlation between age and length of stay. there may or may not be causation. further studies would have to be done to determine this.
there is a correlation between age and length of stay. however, there is no causation. this is because there is likely an increase in the length of stay with a decrease in age.

Explanation:

Step1: Understand correlation and causation

Correlation means a relationship between two variables. Causation means one variable causes the other.

Step2: Analyze the options

• Option 1: "There is no correlation between age and length of stay" is wrong as the data shows some relationship (even if not causal).
• Option 2: "There is a correlation between age and length of stay. There may or may not be causation" is correct. Correlation can exist without causation.
• Option 3: "There is a correlation between age and length of stay with a decrease in age" is incorrect as the data doesn't support this specific direction (increase or decrease) in a simple causal - like way.

Answer:

There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.