Interpolation is filling in the data points between the data that has already been collected. Extrapolation is filling in data points beyond the data that has already been collected, or extending the data.
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Interpolation is the process of estimating the value of some data and processing it in-line with other data obtained from another source. Extrapolation is the ability to estimate the value of something outside a known range from values within that range by assuming that the unknown quantity follows logically from an analysis of the known ones
It's called illogical extrapolation.
Interpolation
Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
Extrapolation.