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NSWMaths Standard 2Year 12: Statistical Analysis

Quick questions on Interpolation and extrapolation with a regression line for HSC Maths Standard 2

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is interpolation?
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Interpolation is a prediction at an xx inside the observed range. If the data covers x=2x = 2 to x=20x = 20, then any prediction with xx between 22 and 2020 interpolates.
What is extrapolation?
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Extrapolation is a prediction at an xx outside the observed range. With data from x=2x = 2 to x=20x = 20, a prediction at x=25x = 25 or x=0x = 0 extrapolates.
What are generic reasons?
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"Growth might change" is weak. Cite a specific mechanism: market saturation, a biological limit, an economic shift.

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