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Q: In an inverse relationship when one variable the other increase?
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What is a relationship between two variables in which one variable increases as the other decreases?

This is called an "inverse" relationship.


What is it called when one variable increases the other variable shows no relationship?

No correlation.


What is moderating variable?

Moderation occurs when the relationship between two variable depends on a third variable. The third variable is referred to as the moderate variable or simply the moderator


What is a positive negative correlation?

Correlation determines relationship between two variables. For example changes in one variable influence another variable, we can say that there is a correlation between the two variables. For example, we can say that there exists a correlation between the number of hours spent on reading and preparation and the scores obtained in the examination. One can infer that higher the amount of time spent on preparation may result in better performance in examination leading to higher scores. Hence the above is a case of positive correlation. If an increase in independent variable leads to an increase in dependent variable, it is a case of positive correlation. On the other hand if an increase in independent variable leads to a reduction in dependent variable, it is a case of negative correlation. An example for negative correlation could be the relationship between the age advancement and resistance to diseases. As age advances, resistance to disease reduces.


What are operations that undo each other called?

Inverse operations