The question asks to find the coefficient of determination given the correlation coefficient (r-value) of 0.908.

The coefficient of determination, $R^2$, is calculated as the square of the correlation coefficient:

$R^2 = r^2$

Given that $r = 0.908$, we can compute:

$R^2 = (0.908)^2$

Let's calculate that.The coefficient of determination $R^2$, rounded to three decimal places, is 0.824.

The correct answer is B. 0.824.

Would you like further details or have any questions?

Here are some related questions you might find helpful:

1. How is the correlation coefficient different from the coefficient of determination?
2. What does a coefficient of determination of 0.824 tell us about the data set?
3. How do we interpret a correlation coefficient of 0.908 in practical terms?
4. Can the coefficient of determination ever be negative?
5. What is the relationship between $r$ and $R^2$ when $r$ is exactly 1 or -1?

Tip: The closer the coefficient of determination $R^2$ is to 1, the better the model explains the variability of the response data.