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 Negative 0 point 833. Can you be confident that your predicted value will be reasonably close to the actual value? Why or why not?
No, you cannot be confident that your predicted value will be reasonably close to the actual value based solely on the correlation coefficient of -0.833.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.833 indicates a moderate negative linear relationship between the variables but does not provide information about the accuracy of the predictions made using the line of best fit.
To assess the reliability of the predictions, you would need to consider other factors such as the scatter of the data points around the line of best fit, the sample size, and the presence of any outliers. These factors can affect the precision and accuracy of the predictions.