Final answer:
The R² value, or coefficient of determination, ranges from 0 to 1. Option B, -0.75, cannot be an R² value because the R² value cannot be negative.
Step-by-step explanation:
The student's question regards the value of R², which stands for the coefficient of determination in statistics. This number provides a measure of how well observed outcomes are replicated by the model, based on the proportion of total variation of outcomes explained by the model. The possible range for an R² value is between 0 and 1, where 0 means that the model does not explain any of the variability of the response data around its mean, and 1 means that the model explains all the variability of the response data around its mean.
Considering the provided options:
- A. 1: This is a possible R² value indicating a perfect fit.
- B. -0.75: This cannot be an R² value, as R² cannot be negative.
- C. 0.75: This is a possible R² value indicating a relatively strong relationship.
- D. 0: This is a possible R² value, which would indicate no explanatory power of the model.
Therefore, the value that cannot be an R² value is B. -0.75.