Interpolation and Extrapolation (HSC SSCE Mathematics Standard): Flashcards

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Interpolation and Extrapolation
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Another name for regression line

Line of best fit

What gradient (m) represents

Rate of change of dependent var per unit of independent var

What vertical intercept (b) represents

Value of dependent var when independent var equals zero

Definition of interpolation

Predicting values within the boundaries of existing data

Definition of extrapolation

Predicting values beyond the range of collected data

Reliability: interpolation vs extrapolation

Interpolation is generally more reliable

Effect of strong linear association on predictions

Predictions are confident and accurate

Effect of weak linear association on predictions

Less confident in predictions

Why far extrapolation becomes less reliable

Relationship may change beyond observed range

Memory aid: INTER in interpolation means

INTERNAL - within the data range

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