The correlation coefficient is an important concept. What is a
correlation coefficient? Below is a definition of a correlation
Correlation Coefficient Definition:
A correlation coefficient is a quantitative measure of the
association between two variables.
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
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.