I don't know how to solve this question could anyone help out? Thanks in advance!

You use a line as best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. How confident can you be be that your predicted value will be reasonably close to the actual value?

Take a look at this, and I think you will have your answer.

http://www.statisticshowto.com/probability-and-statistics/correlation-coefficient-formula/

To determine the confidence level of your predicted value based on the correlation coefficient, you need to understand the strength of the correlation. The correlation coefficient is a statistical measure that ranges from -1 to 1. A value close to 1 or -1 indicates a strong correlation, while a value close to 0 indicates no or very weak correlation.

In this case, the correlation coefficient is -0.015, which is very close to zero. This suggests that there is no substantial linear relationship between the variables in your data set. Consequently, using a line as the best fit for prediction may not yield accurate or reliable results.

Therefore, you cannot be confident that your predicted value will be reasonably close to the actual value since the correlation coefficient is negligibly close to zero. In situations like this, it may be more appropriate to explore other statistical methods or consider a different approach altogether for making predictions.