Interpolation and Extrapolation - Questions
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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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