Question

○ c. there is no correlation.
do you think that change in the first quantity causes change in the second quantity?
○ a. notice that it is likely that change in the second quantity causes change in the first quantity this is also true in the reverse therefore, change in the first quantity causes change in the second quantity
○ b. while change in the second quantity might affect change in the first quantity, it is unlikely that this is true in the reverse therefore, change in the first quantity does not cause change in the second quantity
○ c. notice that it is unlikely that change in the second quantity causes change in the first quantity. this is not true in the reverse therefore, change in the first quantity causes change in the second quantity
○ d. there is no correlation between the quantities, so change in the first quantity cannot possibly cause change in the second quantity

Explanation:

To determine the correct answer, we analyze each option:

• Option A: Suggests a two - way causal relationship. But if we consider a scenario where the second quantity affects the first, but the reverse is not true (like in some cases of dependent and independent variables, e.g., temperature (first) and ice - cream sales (second) – temperature affects sales, but sales don't affect temperature in the same causal way), this option is incorrect.
• Option B: States that while the second quantity might affect the first, the reverse is unlikely. So change in the first quantity does not cause change in the second. This is a valid reasoning for cases where the causal relationship is one - way from the second to the first.
• Option C: Says it's unlikely the second causes the first, but the reverse is true. This is the opposite of what we would expect in a one - way causal relationship and is incorrect.
• Option D: Claims no correlation, but the question is about causation given some relationship (implied by the first part about correlation maybe). If there was no correlation, the question about causation would be moot, but the options A - C imply some relationship, so D is incorrect.

Answer:

B. While change in the second quantity might affect change in the first quantity, it is unlikely that this is true in the reverse. Therefore, change in the first quantity does not cause change in the second quantity