Question

when using a line to model a situation, do we usually have more faith in a result obtained by interpolation or extrapolation? explain.

fill in the blanks to complete the sentence.
dropdown because dropdown beyond the data points which the model is describing.

options in first dropdown: interpolation, extrapolation
options in second dropdown: (text not fully visible, but related to the context of interpolation/extrapolation)

Explanation:

Interpolation involves estimating values within the range of known data points, while extrapolation estimates values outside (beyond) that range. Since the model is based on the given data points, extrapolation is less reliable as it assumes the trend continues beyond the data, which may not hold. So we have more faith in interpolation, and extrapolation is the one that goes beyond the data points.

Answer:

First blank: Interpolation, Second blank: Extrapolation