Interpreting Correlations: TEAS Practice Question with Answer & Explanation
An original TEAS 7-style math practice question, written for nursing-school applicants — with a full breakdown of every answer choice.
Question
In a study of various physical and behavioral variables, a researcher identifies a negative correlation between two factors. Which of the following scenarios best illustrates a negative correlation?
- A.As a person's age increases, the amount of time they spend sleeping increases.
- B.As the speed of a vehicle increases, the remaining distance to its destination decreases.Correct
- C.As the amount of rainfall increases, the height of the water in a reservoir increases.
- D.As the number of study hours increases, a student's test score remains constant.
Correct answer: B. A negative correlation means that as one variable increases, the other decreases. The speed and distance example perfectly illustrates this inverse relationship.
Understanding Negative Correlation
On the TEAS Math section, you are expected to interpret the relationships between two variables. A negative correlation (also known as an inverse relationship) occurs when two variables move in opposite directions. As one variable goes up, the other goes down—and vice versa.
Why Choice B is Correct
In the scenario "As the speed of a vehicle increases, the remaining distance to its destination decreases," we see two variables:
- Speed (Increasing)
- Distance to destination (Decreasing)
Because these variables are moving in opposite directions (up and down), this is a classic example of a negative correlation. The faster you drive, the less distance you have left to cover.
Analysis of the Incorrect Options
- Choice A: "As a person's age increases, the amount of time they spend sleeping increases." This describes a positive correlation because both variables are moving in the same direction (increase/increase). (Note: While biologically infant sleep patterns differ, mathematically, this describes a positive trend).
- Choice C: "As the amount of rainfall increases, the height of the water in a reservoir increases." This is a positive correlation. When one variable goes up, the other follows.
- Choice D: "As the number of study hours increases, a student's test score remains constant." This describes zero correlation or no relationship, as the change in one variable has no effect on the other.
TEAS Concept: Correlation Types
When preparing for the TEAS, remember these three primary types of relationships:
- Positive Correlation: Variables move in the same direction (both up or both down).
- Negative Correlation: Variables move in opposite directions (one up, one down).
- Zero Correlation: There is no visible trend or relationship between the variables.
Nursing Application
In healthcare, understanding correlations is vital. For example, there is often a negative correlation between physical exercise and resting heart rate (as exercise frequency increases, resting heart rate typically decreases). Conversely, there is often a positive correlation between high sodium intake and blood pressure levels.
Memory Tip
Think of a negative correlation like a seesaw. When one side goes up, the other side must go down. Think of a positive correlation like an elevator; both variables travel up to the top floor or down to the lobby together.
Quick study tip: When you see the word 'negative' in correlation questions, look for the words 'increase' and 'decrease' paired together in the same sentence.
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