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Year 12 Maths Standard 1 Bivariant Data Analysis

Interpolation and Extrapolation

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Questions
Question 1
11600

A factory produces calculators. The least-squares regression line for the cost of production \((C)\) as a function of the number of calculators \((n)\) is given by \(C = 500 + 7.85n\).

This function is considered accurate for \(100 \le n \le 1000\). Find the cost to produce 250 calculators and decide if this is interpolation or extrapolation.

\(\$ 2462.50,\,{\rm{Interpolation}}\)

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