Interpolation and extrapolation (Edexcel GCSE Statistics): Flashcards
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Mean height 9 and mean life 15: mean point?
Mean height 9 and mean life 15: mean point?
(9, 15)
Line of best fit must pass through which point?
Line of best fit must pass through which point?
The mean point (x̄, ȳ)
Is estimating at x inside data range interpolation?
Is estimating at x inside data range interpolation?
Yes — interpolation; estimate is reliable
Is estimating at x outside range extrapolation?
Is estimating at x outside range extrapolation?
Yes — extrapolation; less reliable
Car ages 0–5 years: price at 2 years — which method?
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?
Car ages 0–5 years: price at 6.5 yrs — method?
Extrapolation; estimate not reliable
Interpolate: find lifetime at height 15 cm
Interpolate: find lifetime at height 15 cm
21.5 hours; interpolation — reliable estimate
Extrapolate: predict lifetime at 22 cm
Extrapolate: predict lifetime at 22 cm
29 hours; extrapolation — less reliable
Where does the line of best fit pass?
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?
Car 6.5 years old: interpolation or extrapolation?
Extrapolation; not reliable — state reason and working
