Final answer:
Option a. -0.99 indicates a high negative correlation because it is closest to -1, showing a very strong negative correlation between two variables, where one increases as the other decreases.
Step-by-step explanation:
The student has asked about which of the following is a high negative correlation: a. -0.99, b. -.01, c. 0.00, d. 1.00. Among the given options, -0.99 represents a high negative correlation. This is because the correlation coefficient (r) ranges from -1 to 1, where 1 indicates a perfect positive correlation and -1 indicates a perfect negative correlation. The closer the coefficient is to -1 or 1, the stronger the correlation, with the sign indicating the direction of the relationship. A negative sign indicates that as one variable increases, the other decreases, and vice versa.
A coefficient of -0.99 is very close to -1, indicating a very strong negative correlation, meaning that if one variable increases, the other one will likely decrease in a very predictable manner. Conversely, a coefficient close to 0, such as 0.00 or -0.01, indicates a weak or no correlation, respectively. A coefficient of 1.00 would indicate a perfect positive correlation, not a negative one, so it is not the correct answer in this context.