Final answer:
The correct answer is C. The coefficient of correlation is not dependent on both the change of scale and the change of origin, meaning it remains unchanged when the scale or origin of the data is altered.
Step-by-step explanation:
The coefficient of correlation is a statistical measure used to evaluate the strength and direction of the relationship between two variables. The true statement about the coefficient of correlation is:
C. The coefficient of correlation is not dependent on both the change of scale and change of origin
This means that no matter how you transform the data by changing its scale (multiplying or dividing by a constant) or its origin (adding or subtracting a constant), the correlation coefficient, represented by r, will remain the same. The value of r ranges from -1 to +1.
A positive correlation indicates that the variables move in the same direction whereas a negative correlation means that they move in opposite directions. An r value close to 0 implies a weak relationship between the variables. It's important to note that correlation does not imply causation.
Therefore answer is C. The coefficient of correlation is not dependent on both the change of scale and change of origin.