Yes, it must.
Yes.
Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.
Correlation is a statistical measure of the linear association between two variables. It is important to remember that correlation does not mean causation and also that the absence of correlation does not mean the two variables are unrelated.
If the problem relates to math, than the answer is NONE!
I can see the correlation...
In mathematics, the three types of correlation are positive correlation, negative correlation, and zero correlation. Positive correlation occurs when two variables move in the same direction, meaning that as one increases, the other also increases. Negative correlation happens when one variable increases while the other decreases. Zero correlation indicates no relationship between the two variables, meaning changes in one do not affect the other.
A correlation interval refers to the range within which the correlation coefficient, a statistical measure of the strength and direction of a relationship between two variables, is assessed. Typically, this interval ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 denotes no correlation. In practice, correlation intervals can also refer to confidence intervals around the correlation coefficient, providing a range of values that likely includes the true correlation in the population.
A positive correlation between two variables means that there is a direct correlation between the variables. As one variable increases, the other variable will also increase.
A positive correlation is where the data has an increasing pattern. As X increases, Y also increases.
When variables in a correlation change simultaneously in the same direction, this indicates a positive correlation. This means that as one variable increases, the other variable also tends to increase. Positive correlations are typically represented by a correlation coefficient that is greater than zero.
A correlation
Auto correlation is the correlation of one signal with itself. Cross correlation is the correlation of one signal with a different signal.