Physics307L:Schedule/Week 10 agenda
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- Fitting a line
- AKA linear regression; least-squares fit for a line
- Why fitting a line?
- Linear relations & This versus 1/sqrt(that) (examples: e-diffraction; e/m lab)
- [math]\displaystyle{ y=Ae^{Bx} }[/math]
- Theoretical
- Assume gaussian distribution for each [math]\displaystyle{ y_i }[/math] with same sigma for all measurements (not necessary, but simplifies it).
- Maximum likelihood...Chi-squared
- Derivative (minimize Chi-squared) / solve
- Just show the answer, ... skip derivation for time for practical examples.
- Practical step by step w/ Excel..."R"...."Octave?"