Answer
The properties of the linear correlation coefficient are mentioned below:
1. The correlation coefficient lies between.
2. A perfect positive correlation between the dependent variable and the explanatory variable exists if the value of the correlation coefficient is exactly 1.
3. There is a perfect negative correlation between the variables if the value of the correlation coefficient is exactly .
4. There is a no linear relationship between the variables if the value of the correlation coefficient is 0.
5. There is an indication of a positive linear correlation between the variables when the value of the correlation coefficient is close to 1.
6. There is a sign of a negative linear correlation between the variables when the value of the correlation coefficient is close to .
7. The correlation coefficient is not a resistant measure.
8. The correlation coefficient is a unit-less measure of association.
Work Step by Step
Given above.