When does it make sense to use the least-squares line for prediction?
To use a line graph to make predictions, you have to look at the slope of the line. If there is any sort of pattern to the line, you can make an accurate prediction. For example, if the line steadily dropped, then suddenly spiked down, then started steadily dropping again, you could predict from the pattern that it will suddenly spike downward again.
In maths problems, the term "will be" is generally used when you are expected to make a prediction about something (although the "prediction" has to be justified absolutely by maths to back it up. Generally you do the maths, get an answer, use this as your "prediction", then the maths backs it up. As opposed to "predicting" (ie. guessing), then doing the maths, since the maths is unlikely to justify the prediction when done this…
theory- Studying something then making a prediction. Then you study a little bit more and thinking your THEORY was right. so theory and prediction are almost the same thing. Prediction- The difference between theory and prediction is that a prediction is a guess it isn't exactly right but you think it might happen. Evidence- Is what you need to make sure your THEORY is correct.