LabWindows/CVI

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LinFit

Advanced Analysis Library Only

AnalysisLibErrType LinFit (double arrayX[], double arrayY[], ssize_t numberOfElements, double outputArray[], double *slope, double *intercept, double *meanSquaredError);

Purpose

Note Note  This function has been superseded by LinearFitEx.

Finds the slope and intercept values that best represent the linear fit of the data points (X, Y) using the least squares method. LinFit obtains the ith element of the output array, using the following formula:

Zi = slope × Xi + intercept

LinFit obtains the mean squared error using the following formula:

where numberOfElements is the number of sample points.

LinFit can perform this operation in place; that is, the input and output arrays can be the same.

Example Code

/* Generate a ramp pattern and find the best linear fit. */
double x[200], y[200], z[200];
double start, end, a, b, slope, intercept, mse;
int n;
n = 200;
start = 0.0;
end = 1.99E2;
Ramp (n, start, end, x); /* x[i] = i */
a = 3.5;
b = -2.75;
LinEv1D (x, n, a, b, y); /* y[i] = a*x[i] + b */
/* Find the best linear fit in z. */
LinFit (x, y, n, z, &slope, &intercept, &mse);

Parameters

Input
Name Type Description
arrayX double [] An array whose elements contain the X coordinates of the (X,Y) data sets.
arrayY double [] An array whose elements contain the Y coordinates of the (X,Y) data sets.
numberOfElements ssize_t Number of sample points used in the linear fit operation.
Output
Name Type Description
outputArray double [] The linear values that best represent the data.
slope double Slope of line that best describes the data set.
intercept double Y-intercept value that best represents the data.
meanSquaredError double The mean squared error generated by the difference between the fitted curve and the raw data.

Return Value

Name Type Description
status AnalysisLibErrType A value that specifies the type of error that occurred. Refer to analysis.h for definitions of these constants.

Additional Information

Library: Advanced Analysis Library

Include file: analysis.h

LabWindows/CVI compatibility: LabWindows/CVI 3.1 and later

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