Question

answer the questions below.
(a) a car dealership conducted a survey. it showed that a younger customer tended to purchase a lower priced car. what is likely true?
there is no correlation between age and purchase price.
there is a correlation between age and purchase price. there may or may not be causation. further studies would have to be done to determine this.
there is a correlation between age and purchase price. there is probably also causation. this is because there is a decrease in the purchase price with a decrease in age.
(b) a doctors office found that a lower outside temperature did not indicate a change in the number of appointments made. what can we determine from this information?
there is no correlation between outside temperature and number of appointments made.
there is a correlation between outside temperature and number of appointments made. however, there is no causation. this is because there is likely an increase in the number of appointments made with a decrease in the temperature outside.
there is a correlation between outside temperature and number of appointments made. there may or may not be causation. further studies would have to be done to determine this.
(c) a piano instructor examined student progress. she noticed that when students spend less time playing video games, their memorization ability does not tend to change. what can she conclude?
there is no correlation between amount of time spent playing video games and memorization ability.
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.
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.

Explanation:

• (a): A younger customer (age decrease) tends to purchase a lower - priced car (price decrease). This shows a relationship (correlation). And it's reasonable to assume a causal link (younger customers may have less income, so they buy cheaper cars).
• (b): A lower outside temperature does not indicate a change in the number of appointments. So, there is no relationship (no correlation).
• (c): When students spend less time playing video games, their memorization ability does not change. So, there is no relationship (no correlation).

Answer:

• (a) There is a correlation between age and purchase price. There is probably also causation. This is because there is a decrease in the purchase price with a decrease in age.
• (b) There is no correlation between outside temperature and number of appointments made.
• (c) There is no correlation between amount of time spent playing video games and memorization ability.