Interpolation and extrapolation (Edexcel GCSE Statistics): Flashcards

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Interpolation and extrapolation
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Mean height 9 and mean life 15: mean point?

(9, 15)

Line of best fit must pass through which point?

The mean point (x̄, ȳ)

Is estimating at x inside data range interpolation?

Yes — interpolation; estimate is reliable

Is estimating at x outside range extrapolation?

Yes — extrapolation; less reliable

Car ages 0–5 years: price at 2 years — which method?

Interpolation; estimate is reliable

Car ages 0–5 years: price at 6.5 yrs — method?

Extrapolation; estimate not reliable

Interpolate: find lifetime at height 15 cm

21.5 hours; interpolation — reliable estimate

Extrapolate: predict lifetime at 22 cm

29 hours; extrapolation — less reliable

Where does the line of best fit pass?

Through the mean point (x̄, ȳ) — averages of x and y

Car 6.5 years old: interpolation or extrapolation?

Extrapolation; not reliable — state reason and working

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