correlation
* * * * *
Only if the relationship is linear. For example, the correlataion between y and x when y = x2 is zero. But a very strong relationship between the two variables.
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corrrelation
A measure of association. You might be thinking of the correlation coefficient in particular.
Correlation is a statistical technique that is used to measure and describe the strength and direction of the relationship between two variables.
Some people will give the answer "correlation". But that is not correct for the following reason: Consider the coordinates of a circle. There is obviously a very strong relationship between the x coordinate and the y coordinate. The correlation between the two is not just small, but 0. The correlation between two variables is a measure of the linear relationship between them. But there can be non-linear relationships which will not necessarily be reflected by any correlation.
Correlation * * * * * That is simply not true. Consider the coordinates of a circle. There is obviously a very strong relationship between the x coordinate and the y coordinate. But the correlation is not just small, but 0. The correlation between two variables is a measure of the linear relationship between them. But there can be non-linear relationships which will not necessarily be reflected by any correlation.