you use a line of best fit for a set of data to make a prediction about an unknown value. the correlation coefficient for your data set is -0.833. can you be confident that your predicted value will be reasinably close to the actual value? Why or why not?
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The correlation coefficient helps us understand the strength and direction of the linear relationship between two variables. In this case, since the correlation coefficient is -0.833, which is close to -1, it indicates a strong negative linear relationship between the variables.
Using a line of best fit to make a prediction assumes that the relationship between the variables is linear. If the correlation coefficient is close to -1, it suggests that the line of best fit will be a good representation of the data.
Therefore, it is reasonable to have confidence that the predicted value will be reasonably close to the actual value, given the strong negative linear relationship indicated by the correlation coefficient.