Compare and contrast interpolations and extrapolations based on a scatterplot.

Answer:

Interpolations and extrapolations are both methods used to make predictions based on a scatterplot's line of best fit. An interpolation is a prediction that lies within the range of the existing data points (the cluster), while an extrapolation is a prediction for a value that lies outside the range of the observed data. Consequently, interpolations are considered more reliable, whereas extrapolations carry more risk because they assume that the observed trend will continue indefinitely.