
3 Fitting Data
3-76
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Curve Fitting
1
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How to Contact The MathWorks:
2
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Contents
3
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Preface
10
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Related Products
10
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Using This Guide
11
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Installation Information
13
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Typographical Conventions
14
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Getting Started with the
15
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Curve Fitting Toolbox
15
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Importing the Data
17
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Create data set
18
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Fitting the Data
19
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Copy Fit
20
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Determining the Best Fit
22
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Tools->Axes Limit Control
24
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Table of Fits
25
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Saving the Fit Results
27
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Analyzing the Fit
29
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Saving the Analysis Results
30
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Saving Your Work
31
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Saving the Session
32
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Generating an M-File
33
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Importing, Viewing, and
35
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Preprocessing Data
35
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Importing Data Sets
36
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Data Sets List
37
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Data Import Process
38
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Create data set button
39
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Viewing Data
40
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Viewing Data Numerically
42
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Smoothing Data
43
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Data sets
44
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Data sets list
44
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Smoothing method
44
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Data Sets
45
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Moving Average Filtering
46
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Lowess Smoothing
50
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Robust Smoothing Procedure
51
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Robust Lowess Smoothing
52
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Savitzky-Golay Filtering
53
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Savitzky−Golay Smoothing
54
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Example: Smoothing Data
55
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View button
56
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Saving the Results
58
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Excluding and Sectioning Data
59
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Exclusion Rule
60
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Marking Outliers
61
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Influential Data Points
63
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Sectioning
64
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Check to
66
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Data points outside the
68
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Individual data points
68
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Viewing the Exclusion Rule
69
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applied
72
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Infs, NaNs, and outliers
74
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The Fitting Process
78
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2 Select an exclusion rule
79
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4 Compare fits
79
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5 Save the fit results
79
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Normal Distribution
81
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Zero Mean
81
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Constant Variance
81
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Linear Least Squares
82
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Weighted Linear Least Squares
85
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Robust Least Squares
87
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Nonlinear Least Squares
90
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Library Models
92
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Gaussian
93
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Polynomials
93
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Power Series
94
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Rationals
95
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Sum of Sines
95
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Custom Equations
96
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Linear Equations
97
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General Equations
98
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Specifying Fit Options
99
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3 Fitting Data
100
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Fitting Method and Algorithm
100
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Fit Convergence Criteria
100
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Coefficient Parameters
101
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Residuals
103
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Fitting Data
104
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Goodness of Fit Statistics
105
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Results list box in the
106
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Table of fits
106
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Parametric Fitting
107
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View->Confidence Level
110
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View->Residuals menu item
113
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Example: Rational Fit
117
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Tools->Custom Equation
122
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New Equation button
122
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Example: Robust Fit
137
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Nonparametric Fitting
144
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Smoothing Spline
146
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Apply button
149
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Selected Bibliography
151
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Function Reference
153
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4 Function Reference
154
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Functions – By Category
154
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Postprocessing Data
155
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General Purpose
155
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Functions – Alphabetical List
156
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Syntax cflibhelp
158
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Arguments
158
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Description
158
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See Also cfit, fit, fittype
159
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Syntax cftool
160
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The Data GUI
162
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The Fitting GUI
163
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The Exclude GUI
164
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The Plotting GUI
164
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The Analysis GUI
165
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Syntax ci = confint(fresult)
166
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See Also fit
167
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Syntax xds = datastats(xdata)
168
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See Also cfit, fit, integrate
171
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Syntax obj
172
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See Also fit, fittype
177
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Syntax opts = fitoptions
182
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Additional Fit Options
184
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4integrate
193
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Plot the residuals
197
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, plot (built-in), subplot
198
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See Also confint, fit
201
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Syntax set(opts)
202
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See Also fitoptions, get
203
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Syntax yy = smooth(ydata)
204
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See Also fit, sort
208
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Numerics
209
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Infs, NaNs, and outliers 2-41
215
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