Final answer:
The r-value for the linear regression of the provided dataset is most likely 0.863, which indicates a strong positive relationship between the variables.
Step-by-step explanation:
The r-value, or correlation coefficient, is a measure of the strength and direction of a linear relationship between two variables on a scatterplot. Looking at a dataset and judging by the provided options, we can see that the data points are mostly negative but then switch to positive, suggesting the r-value is positive due to the higher concentration of positive values towards the end.
Since the values reported are symmetrically distributed about zero, we can infer that the correct r-value is positive and not the strongest possible correlation but still significantly strong. Given the values (-0.85, 0.87, etc.), we would expect an r-value between -1 and 1, closer to 1. By process of elimination and looking at the symmetry of the list, we could infer that the correct r-value of the following data is 0.863, which is option C. This provides a good indication of a strong positive relationship.