A correlation is a numerical value that describes and measures three characteristics of an X and...
A correlation is a numerical value that describes and measures three characteristics of an X and Y relationship. What are these characteristics? Describe the value of r = 0,89.
Homework Answers
A correlation coefficient is a measure of the linear relationship between two variables X and Y. It is computed as:
Here Cov(X, Y) is the covariance between the two variables and
the SD(X) and SD(Y) are the standard deviations.
Note that it only gives the measure of linear relationship and not
the measure of other relationships like quadratic or cubic. It
ranges from -1 to +1 where -1 represents perfect negative linear
relationship and +1 represents perfect positive linear
relationship. A value of 0 represents no linear relationship.
A value of 0.89 is a positive linear relationship and as it is very
near to +1, this represents a strong positive linear relationship
which means that as the value of X increases, value of Y also
increases and as value of X decreases, value of Y also
decreases.
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