Final answer:
The correlation coefficient that indicates the weakest relationship between two variables is the one closest to 0. Therefore, the coefficient 0.08 (Option C) demonstrates the weakest relationship as it is nearest to 0.
Step-by-step explanation:
The coefficient of a correlation indicates the strength and direction of the relationship between two variables. The value of the correlation coefficient, r, ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship at all.
Therefore, to answer the question, which correlation coefficient indicates the weakest relationship between two variables, we look for the number closest to 0. The options given are (A) 0.51, (B) -0.28, (C) 0.08, (D) -1.00, and (E) 1.00.
Option (C) 0.08 indicates the weakest relationship because it is closest to 0. This implies that as one variable changes, the other variable hardly changes, and the relationship between them is very weak and not predictable.