Final answer:
The strongest correlation coefficient from the given options is -.97 as it is the closest to -1, indicating a very strong negative linear relationship between two variables.
Correct option is a. -.97
Step-by-step explanation:
The correlation coefficient that represents the strongest relationship between two variables from the given options is a. -.97. This is because the correlation coefficient indicates the strength and direction of a linear relationship between two variables. Coefficients can range from -1 to +1, where -1 indicates a perfect negative relationship, +1 indicates a perfect positive relationship, and 0 indicates no relationship. The strength is determined by the absolute value of the coefficient, where values closer to 1 or -1 represent stronger relationships.
Therefore, a coefficient of -.97 shows a very strong negative relationship, and in comparison to other listed coefficients like +.79, +1.03 (which is not possible as it exceeds the range), and -.82, -.97 is closest to -1, hence the strongest.