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Agricultural scientists measure the weekly rainfall (in mm) at three stations \(R(1, 5)\), \(S(5, 5)\), and \(T(3, 1)\).
The recorded values are: \(R: 12\text{ mm}\), \(S: 8\text{ mm}\), \(T: 15\text{ mm}\).
Estimate the rainfall at a farm located at \(P(4, 4)\) using nearest neighbor interpolation.
  1. Calculate \(PR^2\), \(PS^2\), and \(PT^2\).
  2. Which region contains \(P\)?
  3. What is the estimated rainfall?

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