1. 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 reasonably close to the actual value? Why or why not?
Yes, you can be confident that your predicted value will be reasonably close to the actual value. The correlation coefficient of -0.833 indicates a strong negative correlation between the variables. This means that as one variable increases, the other variable tends to decrease in a predictable manner. A strong negative correlation suggests that the line of best fit will accurately represent the relationship between the variables, and therefore, the predicted value based on the line of best fit will likely be close to the actual value.
