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Zero Correlation
A zero correlation exists when the correlation coefficient is exactly 0. This signifies that there is no discernible linear relationship between two variables. As a result, knowing the value of one variable provides no basis for predicting the value of the other.
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Perfect Positive Correlation
Zero Correlation
A researcher investigates the relationship between the number of hours a student spends playing video games per week and their grade point average (GPA). The study yields a correlation coefficient of r = -0.65. Which statement provides the most accurate analysis of this finding?
Verbal Descriptions of Correlations
Negative Relationship
Positive Relationship
Learn After
A researcher investigates the potential link between the number of books a person owns and their average daily screen time. After collecting data from a large sample, a scatterplot reveals that the data points are spread out randomly, forming no clear line or curve. What is the most accurate conclusion the researcher can draw from this visual representation of the data?
Visual Example of No Correlation: Sleep and Shoe Size