Difficulty: Medium

Average Score: 57%

Which of the following statements is true about the dependent variable in the relationship?

Diagram for question

Rationale

Height is the dependent variable because the height of the child depends on the length of time that has passed since birth.

In a relationship where one variable is influenced by another, the dependent variable is the outcome that changes in response to variations in the independent variable. In this case, a child's height is affected by the time elapsed since birth, making height the dependent variable.

A (Height is the dependent variable because the height of the child depends on the length of the mother's pregnancy.) YOUR ANSWER

This statement incorrectly attributes the influence on height to the length of the mother's pregnancy, which is an independent variable. While prenatal factors can impact growth, height specifically changes over time after birth, making pregnancy length an irrelevant factor in this context.

B (Height is the dependent variable because the height of the child depends on the length of time that has passed since birth.) CORRECT

This is accurate because as time progresses post-birth, the child grows taller. Therefore, height directly correlates to the time since birth, establishing height as the dependent variable influenced by the independent variable—time.

C (Time is the dependent variable because time depends on the number of months that have passed since birth.) YOUR ANSWER

This assertion is incorrect as time is the independent variable in this scenario; it is a constant measure that does not change based on other variables. The passage of time is what allows for the measurement of changes in height, not the other way around.

D (Time is the dependent variable because the height measurements of the child are taken every 3 months.) YOUR ANSWER

This statement misidentifies time as the dependent variable. Instead, time serves as the independent variable allowing for the measurement of height, which changes as time progresses. The frequency of measurements does not alter the nature of time as an independent factor.

Conclusion

In analyzing the relationship between height and time post-birth, height is correctly identified as the dependent variable, as it is the outcome influenced by the passage of time. Understanding this distinction is crucial in research and data analysis, where identifying dependent and independent variables underpins the interpretation of results.

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