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. How confident can you be that your predicted value will be reasonably close to the actual value?
Responses
I can’t be confident at all; this is about as close to a random guess as you can get.
I can’t be confident at all; this is about as close to a random guess as you can get.
I can be certain that my predicted value will match the actual value exactly.
I can be certain that my predicted value will match the actual value exactly.
I can be very confident; it will be close, but it probably won’t be exact.
I can be very confident; it will be close, but it probably won’t be exact.
I can be a little confident; it might be close, or it might be way off.
You can’t be confident at all; this is about as close to a random guess as you can get.
A correlation coefficient of 0 indicates that there is no linear relationship between the variables. Therefore, using a line of best fit to predict unknown values when the correlation is 0 is highly unreliable, and any predictions made would not be based on any meaningful relationship between the data points.