Data plays a crucial role in decision-making because it can reveal relationships between different quantities. We often use linear equations to model these relationships and make predictions about the data.

Think about a situation when you needed to analyze data. What types of trends did you find in the data? How did noticing the trends help you make a decision related to the situation?

problem for asks us, Given a set of data pairs, how would you decide whether to use interpolation or extrapolation to find a certain value? To do that, we need to know the definitions of in tribulation that extrapolation where interpolation is estimating, estimating a value between to known values where extrapolation is predicting value outside the range of my own values. So if you have the graph, let's say you know these data points and you are asked to estimate here that is going to be interpolation because you're looking at what you already know which I'll show by these dashed lines. This is the data set that you already know. And so you would be interpreting if you were asked to find the Y value for an expel. You say, here, this is outside. Um, you're known Dida values. And so you're predicting, based on a trend line, and so you could predict that that data point is gonna be somewhere around here, but it doesn't fall within your known values. And so the extrapolating and so the question asking given a set of deed appears. How would you decide whether to use interpretation or extrapolation to find a certain value. You would just need to know if the I certain value that you're looking for falls within your data set. So if it falls within your ex or your why that is known, it's going to be interpretation. And if it falls outside of those x or Y values that are known, it would be extrapolation.