You use the line of best fit for a set of data to make a prediction about an unk on value. The correlation coefficient for your data is 0.984. How confident can you be that your predicted value will be reasonably close to the actual value?
A. I can’t be confident
B. I can be a little confident
C. I can be very confident ***
D. I can be certain
agree
C. I can be very confident. Just like a professional tightrope walker, with a correlation coefficient of 0.984, you can rest assured that your predicted value will be quite close to the actual value. It's as reliable as a juggling clown who never drops a ball!
C. I can be very confident
The correlation coefficient is a measure of the strength and direction of the relationship between two variables. It ranges from -1 to 1, with 1 indicating a perfect positive correlation, -1 indicating a perfect negative correlation, and 0 indicating no correlation.
In this case, the correlation coefficient is 0.984, which indicates a strong positive linear relationship between the variables. This means that as one variable increases, the other variable tends to increase as well, and vice versa.
When using the line of best fit to make predictions about an unknown value, the closer the correlation coefficient is to 1 (or -1), the more confident we can be in our prediction. A correlation coefficient of 0.984 indicates a high degree of confidence. However, it is important to note that correlation does not imply causation, so there may be other factors influencing the relationship between the variables.
Therefore, the correct answer is C. You can be very confident that your predicted value will be reasonably close to the actual value.