Seawater Freezing Temperature Calculator

A C++ command-line application for estimating seawater freezing temperatures from salinity data using least-squares linear regression.

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Context & Provenance

• Project Context: Coursework project for Scientific Computing / C++ (NYU Abu Dhabi).
• Author: Ashmit Mukherjee.

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Mathematical Model

The relationship between salinity ($S$) and freezing temperature ($T$) is estimated using a least-squares linear fit:

[ T = m \cdot S + b ]

where slope ($m$) and intercept ($b$) are derived from pairs of salinity and freezing point measurements:

[ m = \frac{\sum (S \cdot T) - n \cdot \overline{S} \cdot \overline{T}}{\sum (S^2) - n \cdot (\overline{S})^2} ] [ b = \overline{T} - m \cdot \overline{S} ]

(Historical note: While original course prompts may have casually referred to this calculation as "linear interpolation," the implemented algorithm computes a least-squares linear regression fit across multiple data points).

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Running Locally

# Compile
g++ -std=c++17 main.cpp -o seawater_calc

# Run calculator
./seawater_calc

Sample interaction:

1
seawater_data.txt
2
seawater_data.txt
25
3

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License

This repository's source code is licensed under the MIT License.