Question

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 0.109. How confident can you be that your predicted value will be reasonably close to the actual value?
a. I can't be confident at all; this is about as close to a random guess you could get


b. I can be a little confident; it might be close, or it might by way off


c. I can be very confident; it will be close, but it probably won't be exact


d. I can be certain that my predicted value will match the actual value exactly


please help.

I think the answer is C.

Answer 1

Answer:

With a correlation coefficient of 0.109 you can not be confident at all; this is about as close to a random guess you could get.  

Step-by-step explanation:

Lines of best fit are used to try to make a correlation (relationship) about data that will either be positive (uphill), negative (downhill) or no correlation (points are scattered).  Correlation coefficients based off of a line of best fit will fall between -1 and +1 where -1 would represent a perfect negative relationship and +1 would represent a perfect positive relationship.  A correlation coefficient of 0 would indicate that there is no relationship.  So, if your data shows a correlation coefficient of 0.109, which is closest to 0 on a number line, then you can't be sure that your data has a very close relationship.