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Readings were taken for loads between 20 kg and 90 kg. A prediction is then made for a load of 55 kg. What kind of prediction is that?
AInterpolation, since 55 lies inside the range
BExtrapolation, since 55 lies inside the range
CInterpolation, since 55 lies outside the range
DExtrapolation, since 55 lies outside the range
Answer & Solution
Correct answer: A. Interpolation, since 55 lies inside the range
1. The readings run from 20 kg up to 90 kg.
2. A load of 55 kg sits between those two ends, so it is inside the range covered by the readings.
3. Predicting inside that range is interpolation.
4. Predicting outside it, for a load of 5 kg or 200 kg say, would be extrapolation instead.
5. Options B and C pair the right word with the wrong reason, so both fail on one half.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.3 Fitting Linear Models to Data_
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