the perception of a relationship between two variables that does not actually exist.
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Most athletes have some sort of "lucky" game behavior, like their lucky socks. They wore the socks one time when they played really well and so they associate them with doing well. However, they will disregard any of the times that they wore the socks and did not play well. This is an illusory correlation because the socks have nothing to do with actually doing well.
If the answer you are expecting is correlation, then you are wrong. Correlation refers only to linear relationship between two variables. The correlation for any even relationship over a symmetric domain will be 0. Thus, if y = x2 between the values -a < x < a (for some a), the correlation between y and x will be 0 but few would contend that there is no relationship between the two.
If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.
Evidence that there is no correlation.
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'