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The importance of using the nonlinear equation rather 
than the linearly transformed equation.
Visualizing how the algorithm arrives at the minimized 
sum of squared error terms by trying different combinations 
of the parameters (A and B in this case)
How should the data in a “residuals” plot appear?
The importance of providing reasonable initial “guesses” 
of the parameters of interest
The error estimates of the parameters are helpful, but they 
should be regarded as underestimates of the true error. The 
Solver algorithm in Excel does not provide error estimates
An “outlier” has more influence in determining the best-fit 
line when there are relatively fewer data points
An “outlier” has more influence in determining the best-fit 
line when there are relatively fewer data points

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Nonlinear Fitting Lecture

  • 1. The importance of using the nonlinear equation rather than the linearly transformed equation.
  • 2. Visualizing how the algorithm arrives at the minimized sum of squared error terms by trying different combinations of the parameters (A and B in this case)
  • 3. How should the data in a “residuals” plot appear?
  • 4. The importance of providing reasonable initial “guesses” of the parameters of interest
  • 5. The error estimates of the parameters are helpful, but they should be regarded as underestimates of the true error. The Solver algorithm in Excel does not provide error estimates
  • 6. An “outlier” has more influence in determining the best-fit line when there are relatively fewer data points
  • 7. An “outlier” has more influence in determining the best-fit line when there are relatively fewer data points