Question

answer the questions below. (a) a piano instructor examined student progress. she noticed that when students spend less time playing video games, their memorization ability tends to increase. what can she conclude? there is no correlation between amount of time spent playing video games and memorization ability. there may or may not be causation. there is a correlation between amount of time spent playing video games and memorization ability. further studies would have to be done to determine this. there is a correlation between amount of time spent playing video games and memorization ability. there is probably also causation. this is because there is an increase in memorization ability with a decrease in the amount of time spent playing video games. (b) an environmental study was conducted. it reported that houses with more inhabitants do not necessarily produce more or less trash. what can be determined? there is no correlation between number of inhabitants and amount of trash produced. there is a correlation between number of inhabitants and amount of trash produced. however, there is no causation. this is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants. there is a correlation between number of inhabitants and amount of trash produced. there may or may not be causation. further studies would have to be done to determine this. (c) 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:

(a) Since a decrease in video - game playing time is associated with an increase in memorization ability, there is a correlation. But correlation does not imply causation, so further studies are needed.
(b) Just because houses with more inhabitants do not necessarily produce more or less trash, we can't say there is no correlation. There may be a correlation, and further studies are needed to determine causation.
(c) If being older does not imply a shorter or longer stay for a swimmer, there is no clear linear relationship, so there is no correlation.

Answer:

(a) There is a correlation between amount of time spent playing video games and memorization ability. There may or may not be causation. Further studies would have to be done to determine this.
(b) There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.
(c) There is no correlation between age and length of stay.