What does it mean if a correlation coefficient is -1? There is a strong negative

Question

What does it mean if a correlation coefficient is -1?

There is a strong negative relationship between these two variables.

There is a strong positive relationship between these two variables.

All points lie in a straight line with a slope of 0.

There is no relationship between these two variables (i.e., not correlated).

There is a strong negative relationship between these two variables.

There is a strong positive relationship between these two variables.

All points lie in a straight line with a slope of 0.

There is no relationship between these two variables (i.e., not correlated).

Explanation / Answer

The range of the correlation coefficient is from -1 to +1. If there is a strong positive
linear relationship between the variables, the value of r will be close to +1. If there is a
strong negative linear relationship between the variables, the value of r will be close to
-1. When there is no linear relationship between the variables or only a weak relationship,
the value of r will be close to 0.

Properties

1. If r = 1 Corrlation is called Perfect Positive Corrlelation
2. If r = -1 Correlation is called Perfect Negative Correlation
3. If r = 0 Correlation is called Zero Correlation

[ANSWER]
a.  
There is a strong negative relationship between these two variables.

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