Negative relationship
Encyclopedia
In statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....

, a relationship between two variables is negative if the slope
Slope
In mathematics, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline....

 in a corresponding graph is negative, or—what is in some contexts equivalent—if the correlation
Correlation
In statistics, dependence refers to any statistical relationship between two random variables or two sets of data. Correlation refers to any of a broad class of statistical relationships involving dependence....

between them is negative. Negative correlation is also variously called anti-correlation or indirect correlation.

Example:

"They observed a negative relationship between illness and vaccination."

As incident of vaccination is increasing, incidence of illness is decreasing, and vice versa.

Compare to a positive relationship:
Observed a positive relationship between illness and missed work.

As incidence of illness increased, sick days taken also increased.
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