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 d
ata 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
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.
