Correlation is a measure of the strength of a linear relationship between two variables. In theory it ranges between -1 and +1, although in practice, random and observation error make this value smaller.
Near -1, the correlation is very strongly negative, which means that an increase in one variable is accompanied by a decrease in the other.
Near +1, the correlation is very strongly positive, which means that an increase in one variable is accompanied by an increase in the other.
Near 0, the correlation is weak and there is no linear pattern in which the two variables change.
There are two very critical points to remember:
Finally, the importance of any correlation coefficient is subjective and depends on the context. A correlation coefficient that is high for a sociological study may be considered moderate for a high school physics experiment.
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the correlation coefficient range is -1 to +1
good correlation
It will be invaluable if (when) you need to calculate sample correlation coefficient, but otherwise, it has pretty much no value.
Assume that you are correlating two variables x and y. If there is an increasing relationship between x and y, (that is , the graph of y=a+bx, slopes upward), the correlation coefficient is positive. Similarly, if there is a decreasing relationship, the correlation coefficient is negative. The correlation coefficient can assume values only between -1 and 1.
Yes.