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"obtained from least squares" vs "obtained with least squares"

Both phrases are correct, but they are used in different contexts. 'Obtained from least squares' is used when referring to the source or origin of the result, while 'obtained with least squares' is used when describing the method or tool used to obtain the result.

Last Updated: March 19, 2024

obtained from least squares

This phrase is correct and commonly used when referring to the source or origin of the result obtained through the least squares method.

This phrase is used to indicate that the result was derived or calculated using the least squares method.

Examples:

  • The coefficients were obtained from least squares estimation.
  • The data points were obtained from least squares fitting.

Alternatives:

  • derived from least squares
  • calculated using least squares

obtained with least squares

This phrase is correct and commonly used when describing the method or tool used to obtain the result through the least squares method.

This phrase is used to indicate that the result was achieved using the least squares method as a tool or technique.

Examples:

  • The solution was obtained with least squares regression.
  • The model parameters were obtained with least squares analysis.

Alternatives:

  • achieved using least squares
  • determined through least squares

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