Question

which relationships would most likely be causal? check all that apply. a positive correlation between time spent exercising and the number of calories burned a negative correlation between temperature and coat sales a positive correlation between time spent practicing free throws and free throw percentage a positive correlation between time spent on the phone with friends and the number of friends a negative correlation between temperature and the number of speeding tickets

Explanation:

• For "a positive correlation between time spent exercising and the number of calories burned": More exercise time generally leads to more calorie burn (causal as exercise causes calorie expenditure).
• For "a negative correlation between temperature and coat sales": Lower temperatures make people buy more coats (causal as temperature affects coat - buying behavior).
• For "a positive correlation between time spent practicing free throws and free throw percentage": More practice improves free - throw skills (causal as practice impacts performance).
• For "a positive correlation between time spent on the phone with friends and the number of friends": Just because you talk more on the phone with friends doesn't mean you have more friends. It could be that you have a few friends you talk to a lot. There's no clear causal link (it's more of an association).
• For "a negative correlation between temperature and the number of speeding tickets": There is no logical causal connection. Temperature doesn't directly cause people to speed or not speed.

Answer:

a positive correlation between time spent exercising and the number of calories burned, a negative correlation between temperature and coat sales, a positive correlation between time spent practicing free throws and free throw percentage.