The correct answer is D. All of the mentioned.
A correlation coefficient of 0 indicates that there is no linear relationship between two variables. A correlation coefficient of 1 indicates a perfect positive linear relationship, and a correlation coefficient of -1 indicates a perfect negative linear relationship.
In other words, a correlation coefficient of 0 means that there is no linear relationship between two variables. This means that there is no pattern to the way that the two variables change together. For example, the height of a person and the number of hairs on their head may have a correlation coefficient of 0. This means that there is no pattern to the way that height and hairiness change together. Some tall people may have a lot of hair, while some short people may have a lot of hair, and some tall people may have little hair, while some short people may have little hair.
A correlation coefficient of 1 indicates a perfect positive linear relationship. This means that the two variables always change in the same direction. For example, the weight of a person and their height may have a correlation coefficient of 1. This means that taller people are always heavier, and shorter people are always lighter.
A correlation coefficient of -1 indicates a perfect negative linear relationship. This means that the two variables always change in opposite directions. For example, the temperature outside and the number of people who go to the beach may have a correlation coefficient of -1. This means that when the temperature is high, fewer people go to the beach, and when the temperature is low, more people go to the beach.
Therefore, all of the options (A, B, and C) imply no relationship with respect to correlation.