Perfect Negative Correlation

Distinction Between Negative and No Correlation

Example of Negative Correlation: Sleep and GPA

Visual Example of Negative Correlation: Tiredness and Sleep

A researcher studying public health observes that in several cities, as the number of public parks and green spaces increases, the average reported stress level of the residents tends to decrease. Which of the following best describes this observed relationship?

A psychologist observes that as the number of hours a person spends exercising per week increases, their reported levels of stress tend to decrease. Which of the following best describes the relationship between weekly exercise hours and stress levels found in this observation?

Example of Negative Correlation: Stressful Life Events and Happiness

Example of Negative Correlation: Tiredness and Sleep

Example of Negative Correlation: Television and Exam Grades

Example of a Negative Relationship: The Last Name Effect

Which of the following best describes how a negative relationship appears on a scatterplot?

In a study on health psychology, a researcher finds a negative relationship between the number of hours of sleep participants get and their reported levels of daytime fatigue. This means that, according to the study, participants who slept more tended to report lower levels of fatigue.

A health psychology study identifies a negative relationship between 'daily physical exercise' and 'resting heart rate' (measured in beats per minute). Based on this relationship, arrange the following participants in order from the lowest predicted resting heart rate (at the top/position 1) to the highest predicted resting heart rate (at the bottom/position 4).

In a health psychology study, a researcher finds a negative relationship between 'Daily Exercise Duration' ($X$) and 'Resting Heart Rate' ($Y$). Match each specific observation with the aspect of negative correlation it characterizes.

Example of a Negative Correlation: Stress and Immune System

Match each type of correlation with the description that defines the relationship between its variables, as discussed in the context of psychological research.

In a study on psychological well-being, a researcher identifies a negative relationship between 'Level of Optimism' ($X$) and 'Reported Symptoms of Depression' ($Y$). Which of the following statements best interprets this result?

A researcher evaluates a study that mislabels the relationship between 'Study Time' ($X$) and 'Test Anxiety' ($Y$) as a 'negative relationship.' The study reported that students who study more ($X$) also tend to have more anxiety ($Y$). The researcher correctly critiques this as a positive relationship, noting that a negative relationship requires that higher scores on one variable be associated with _____ scores on the other.

A researcher finds a negative relationship between stressful life events ($X$) and happiness ($Y$). According to this relationship, if a participant's score on stressful life events decreases, their predicted happiness score is expected to decrease as well.

An analyst notices that the data points on a scatterplot representing tiredness and hours of sleep generally trend downward from the upper left to the lower right of the graph. This visual pattern indicates that there is a _____ relationship between the two variables.

Evaluate the following scatterplot patterns and arrange them in order from the pattern that shows the strongest evidence of a negative relationship to the one that shows the weakest/no evidence of a negative relationship.

In the context of analyzing quantitative variables, briefly define what constitutes a 'negative relationship' (or negative correlation) between two variables, and describe how this relationship is visually represented on a scatterplot.

Based on the visual pattern in the scatterplot, diagnose the specific type of relationship present between stress levels and immune system functioning. Explain what this visual pattern means regarding how the scores of the two variables are associated in this study.

A researcher wants to illustrate a negative relationship between 'hours spent watching television per week' and 'midterm exam grades' for an introductory psychology class. If they construct a scatterplot for these two variables to reflect this specific relationship, predict the general visual trend the data points will form and state how the scores on these two variables will be associated.

Distinction Between Negative Correlation and No Correlation

Which of the following best describes a negative relationship (or negative correlation) between two quantitative variables in a psychological study?

If a psychological study reveals a negative relationship between daily stress levels (variable $X$) and sleep quality (variable $Y$), it means that individuals who report lower levels of daily stress will generally tend to report lower sleep quality.

A team of psychology researchers is analyzing data from different studies. Match each empirical finding with the correct description of its relationship type and expected scatterplot trend.

A developmental psychologist establishes a strong negative relationship between a child's daily screen time in hours ($X$) and their performance on a standardized reading comprehension assessment ($Y$).

Analyze the data for the following four children. Arrange them in order from the 'lowest expected reading comprehension score' (as Step 1 / top) to the 'highest expected reading comprehension score' (as Step 4 / bottom).

A clinical psychologist is evaluating two separate empirical studies to determine which factor has a stronger negative correlation with depressive symptoms. Study 1 reveals a negative relationship between physical exercise and depressive symptoms with a correlation coefficient of $-0.58$. Study 2 reveals a negative relationship between social support and depressive symptoms with a correlation coefficient of $-0.34$. Based on these findings, the psychologist evaluates the strength of both associations and concludes that Study ____ represents the stronger negative relationship.

In a scatterplot, a negative relationship between two quantitative variables is illustrated by data points that generally trend downward from the upper left to the lower right.

A health psychology researcher finds a negative relationship between the average number of hours of physical exercise per week ($X$) and resting heart rate ($Y$) in beats per minute. Which of the following statements best explains how these variables co-vary and how this relationship is represented visually?

A cognitive psychologist conducts a correlational study and establishes a negative relationship between the number of hours of daily social media use ($X$) and a participant's score on a standardized mindfulness scale ($Y$). Participant A, who uses social media for 1 hour per day, has a mindfulness score of 75. If Participant B uses social media for 6 hours per day, the psychologist would predict that Participant B's mindfulness score is ____ than 75 (enter a single word, such as 'lower' or 'higher', to indicate the direction).

A cognitive psychologist is studying the relationship between test anxiety and exam performance in undergraduate students, establishing a strong negative relationship between these two variables. Assume that test anxiety is plotted on the horizontal $X$-axis and exam performance is plotted on the vertical $Y$-axis.

Analyze how different student profiles would be positioned on the resulting scatterplot. Match each student profile with the region of the scatterplot where their data point is most likely to be located.

A research team finds a negative relationship between undergraduate students' weekly academic stress levels ($X$) and their self-reported sleep quality ($Y$), with a correlation coefficient of $r = -0.48$.

Evaluate the following interpretations of this finding. Arrange them in order from the least scientifically valid interpretation (Step 1 / top) to the most scientifically valid and rigorous interpretation (Step 4 / bottom).