Correlation Co-efficient is _______ of the units of measurements(a) Independent(b) Dependent(c) Both(d) none of these

The correlation coefficient is an important measure in statistics that reflects the degree to which two variables move in relation to each other. It is crucial to understand how the correlation coefficient behaves with respect to the units of measurement of the variables involved.

1. Nature of the Correlation Coefficient

   The correlation coefficient is a standardized value, typically ranging from -1 to 1. A value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation at all.

2. Units of Measurement

   The key feature of the correlation coefficient is that it is unitless; that is, it does not depend on the units in which the variables are measured. This characteristic allows for comparison of correlations across different types of data and measurement scales.

3. Conclusion

   Since the correlation coefficient does not change with the measurement units, it is independent of the units of measurements.

Final Answer

The correct option is (a) Independent.