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Year 12 Maths Standard 2 Bivariant Data Analysis

Interpolation and Extrapolation

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Question 1
119345

A factory produces CDs. The least-squares regression line for cost \((C)\) as a function of the number of CD's \((n)\) produced is \(C=6.8 n+420\)

The function is accurate for \(50 \leq n \leq 500\).


i) For 120 CD's, what is the cost? Is this interpolation or extrapolation?


ii) Given the cost is \(\$ 4160\), how many CD's were produced? Is this interpolation or extrapolation?

i) \(\$ 1236 \text { (interpulation } 50 \leqslant 120 \leqslant 500)\)

ii) \(550 \text { (extrapolation } 550>500)\)

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