Note: Your teacher will grade your responses to the follow questions to ensure you receive proper credit for your answers.

Question

Note: Your teacher will grade your responses to the follow questions to ensure you receive proper credit for your answers.

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?
(2 points)

Answer 1

Yes, with a correlation coefficient of -0.833, this indicates a strong negative linear relationship between the variables in your data set. This means that as one variable increases, the other variable decreases consistently. Therefore, you can be confident that your predicted value will be reasonably close to the actual value, as the line of best fit will accurately represent the trend in the data and allow for a reliable prediction.