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'
Illusory correlation refers to the perception of a relationship between two variables that does not actually exist. This can occur when rare events are paired together in a person's mind, leading to the mistaken belief that there is a causal connection between them. In reality, the correlation is just a product of coincidence or bias.
A person believes cell phones cause cancer despite scientific studies finding no correlation between them.
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.
Illusory means not real. Her winnings were illusory.
A person believes cell phones cause cancer despite scientific studies finding no correlation between them.
The adjective 'illusory' is related to the abstract noun illusion.
illusory perception
Illusory
Correlation refers to whether or not two things are causally connected. If there is zero correlation between two items or subjects, it means that they have no connection to one another.
Correlation refers to the extent to which two variables are related or move together in a consistent way. It measures the strength and direction of the relationship between the variables. A positive correlation indicates that when one variable increases, the other variable also tends to increase, while a negative correlation indicates that as one variable increases, the other variable tends to decrease.
The mirage in the desert turned out to be illusory, disappearing upon closer inspection.
Based on illusion; not real. Example: do not live in an illusory world.