you use a line of best fit for a set of data to make a predciction about an unknown value. the correlation coefficient for your data set is -0.833. can you be confident that your predicted value will be reasonably close to the actual value? why or why not
Based on the given information, we can conclude that the correlation coefficient (-0.833) is negative, indicating an inverse relationship between the variables. However, the strength of the correlation is not provided.
A correlation coefficient ranges from -1 to +1, where values closer to -1 or +1 indicate a stronger relationship. Therefore, without knowing the strength of the correlation coefficient, it is not possible to determine with complete confidence whether the predicted value will be reasonably close to the actual value.
However, if the correlation coefficient were closer to -1 or +1 (e.g., -0.9 or +0.9), indicating a strong correlation, then we could be more confident that the predicted value would be reasonably close to the actual value.