when there is no relation between the variables
A correlation can be measured by comparing negative and positive aspects of two or more items. If there are 4 items and 4 identical positives there is a 100% correlation between the 4 items.
correlation, temporal priority, lack of spurious correlation
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Correlation is the innovation of the subjects and activities. It is a technique which tries to establish a reciprocal relationship among the various subjects of the curriculum. History provides a rich ground for correlation with different subjects as well as correlation with different places and times. Trevelyan has very aptly remarked, "History is not a subject at all but a house in which all subjects dwell."
The correlation between unemployment and divorce is the ending of a job and the ending of marriage. However, that being said unemployment versus divorce is a poor example as a divorce hurts more than being unemployed.
A correlation coefficient of zero means that two things are not correlated to each other.
A coefficient of zero means there is no correlation between two variables. A coefficient of -1 indicates strong negative correlation, while +1 suggests strong positive correlation.
Zero.
"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".
The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).
If two variables are highly correlated, the Pearson correlation will be close to -1.0 or +1.0. A correlation of zero shows no relationship.
Yes it can be a correlation coefficient.
No, it cannot be a correlation coefficient.
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.
Pearson's Product Moment Correlation Coefficient indicates how strong the relationship between variables is. A PMCC of zero or very close would mean a very weak correlation. A PMCC of around 1 means a strong correlation.
The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .