Final answer:
A function with the same number of elements in its domain and range has a one-to-one correspondence. The weakest relationship between variables is indicated by a correlation coefficient that is closest to 0, which signifies zero correlation.
Step-by-step explanation:
When the domain and range of a function have the same number of elements, the function is exhibiting what is known as a one-to-one correspondence. This means for every element in the domain, there is a unique corresponding element in the range, and vice versa. No element in the domain maps to more than one element in the range, and no element in the range is mapped to by more than one element in the domain.
As for the question regarding the correlation coefficient, the correlation coefficient indicates the weakest relationship when it is closest to 0. A correlation coefficient of 0 suggests that there is a zero correlation between the variables, meaning no relationship can be discerned from the data. On the other hand, a correlation coefficient of 1 would indicate a perfect positive correlation, and a correlation coefficient of -1 would indicate a perfect negative correlation.