# What is the term used for saying if something increases/decreases it has no effect on another thing

What is the mathematical term used for saying if something increases/decreases it has no effect on another thing?

I was thinking along the lines of "X is not linear with Y" however it seems to give the sense that if X increase, Y will increase (though not linearly). This is not the idea I want to convey.

I want the reader to know that an increase/decrease in X does not necessarily mean an increase/decrease in Y.

Well, if you've read the above paragraph you know what I want, but I need the whole idea of that paragraph packed in a single phrase. (I'd have thought a mathematical term would be useful in this sense (since those words are cool), but that's not compulsory of course).

To be sure, I'm not asking for a mathematical term. I'm asking for a catchy term.

• brilliant! btw how do i use it in a sentence.. X is orthogonal to Y.. X is orthogonal of Y..? Jun 19, 2011 at 20:22
• X is orthogonal to Y, or X and Y are orthogonal. Jun 19, 2011 at 22:14

"Is not dependent on" and "is independent of" are both common usage in statistics.

I'd also suggest "X and Y are not correlated." This is also a commonly used term in stats.

Alternatively, you could use "X and Y are uncorrelated" (as was suggested by Alain), which means the same thing, but might sound a bit more sophisticated.

• +1, that's the best word. Or better: X and Y are uncorrelated (just being nit-picky). Jun 17, 2011 at 20:53
• If there isn't much of any association between X and Y, and you're not explaining the statistics, you might just say they're unrelated. "Cell phone minutes used and bananas consumed are unrelated." Jun 17, 2011 at 21:40
• @aedia for me, unrelated is the best answer. Good one. Jun 17, 2011 at 21:55
• Uncorrelated is not only the correct mathematical term, it should also be understood by non-mathematicians. Jun 17, 2011 at 22:22
• @aedia, @Joe Blow: I agree with you, but evidently OP wants something "catchy" (by which I think he means he would like to sound technical and jargony, while still being understandable). For that, I have to admit that uncorrelated best fits the bill. Independent (which I also think is a fine choice) is perhaps somewhere in between. Jun 17, 2011 at 22:35

I believe it's actually independent. X is an independent variable if it does not depend on Y.

I would use depend, as in:

Y does not depend on X.

• I was thinking the other way around: X is independent of Y. I think these are both correct. Jun 17, 2011 at 20:35
• `Y does not depend on X` has zero catchyness.. Jun 17, 2011 at 20:40
• @Pacerier But accurate and clear, right? Jun 17, 2011 at 20:41

There are many ways of expressing the relationship between two variables, including those in other answers. Another is with "proportional". Some examples of its use:

• X is directly proportional to Y (i.e. as X increases or decreases, Y does so as well)
• X is inversely proportional to Y (i.e. as X increases, Y decreases, or vice versa)
• X is not proportional to Y (i.e. X and Y are unrelated)

This is probably the most precise way to describe two variables' relationship. There are many other types of proportionality.

Another expression is "direct variation", e.g.:

• X is in direct variation with Y
• X and Y vary directly (i.e. the value of Y depends on the value of X)
• X is in not in direct variation with Y
• X and Y do not vary directly (i.e. the value of Y does not depend on the value of X)