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             Correlation Coefficient

The correlation coefficient is an important concept.  What is a
correlation coefficient?  Below is a definition of a correlation
coefficient.

Correlation Coefficient Definition:

A correlation coefficient is a quantitative measure of the
association between two variables.

Values:

 A correlation coefficient can range from -1 to 1.    A -1
would be a perfect negative correlation, and a 1 would be a
perfect positive correlation.  A 0 would reflect no association
at all between two variables.

Negative Correlation and Positive Correlation:

  A negative correlation reflects that higher numbers for one
variable are associated with lower numbers for the other
variable.   A
positive correlation reflects that higher numbers
for one variable are associated with higher numbers for the
other variable.

Statistical Significance:

  It is important to keep in mind that we do not conclude that
all correlation coefficients greater than 0 or less than 0 are real
associations. We have to conduct a statistical analysis to find
out how likely it would be that the finding is due to chance.   
Generally, a correlation coefficient is considered to be
statistically significant, and thus reflecting a real association,
if the chance probability is less than .05.