Difficulty: Medium

Average Score: 68%

Which of the following relationships represents a positive correlation between two variables?

Rationale

As the amount of water a plant receives increases, represents a positive correlation between two variables.

A positive correlation between two variables exists when both variables either increase or decrease together. In this case, as the amount of water a plant receives increases, we can infer that some other variable (like the plant's growth or health) also increases.

A (As the amount of water a plant receives increases,) CORRECT

This choice presents an example of a positive correlation. As the water amount received by the plant increases, it is expected that another variable, such as plant health or growth, also increases. The increase in both variables concurrently represents a positive correlation.

B (As the number of hours a person exercises decrease) YOUR ANSWER

Without knowing the outcome, it's difficult to assess the correlation. However, common sense suggests that as the number of exercise hours decreases, some other variable (such as a person's fitness level or weight) would likely decrease as well, indicating a positive correlation. But since the option only mentions one variable decrease, it doesn't clearly represent a positive correlation.

C (As a student class attendance decreases, the stude) YOUR ANSWER

This choice is incomplete, making it impossible to assess the correlation. However, it suggests a negative correlation, as decreased class attendance is typically associated with decreased academic performance.

D (As the number of mile driven increases, the amount) YOUR ANSWER

This choice is also incomplete, and it's impossible to determine the correlation. However, it seems to imply a positive correlation as increased miles driven would typically result in increased fuel consumption or wear on the vehicle.

Conclusion

In correlation, the relationship between two variables is defined as positive when both variables increase or decrease together. The choice "As the amount of water a plant receives increases" is the correct answer because it implies that as one variable (water amount) increases, another variable (such as plant growth or health) also increases, representing a positive correlation. The other choices are either incomplete or do not clearly represent a positive correlation.

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