linear regression u . nonlinear functions
with LINREG them is a useful application of the method of least squares are available - the description of a set of experimental data by a curve or a theoretical formula to obtain a linear or non - linear relationship which best fits the data - when possible small errors .
LinReg consists of the parts of the program :
- linear regression
- Nonlinear functions - straight - equations
Evaluation of measured values and detecting the measured value characteristic
Calibration of measurement systems by linear regression
Detecting contexts within a series of studies
Representation of processes with linear or non- linear relation
Calculating a mathematical equation by y = ax + b or optionally for a non - linear relationship until 9 polynomial by:
Y = A0 + + a2x2 a1x + a3x3 ..... + amxm
Creating a formula from a value table
Examples : - Creation of characteristics for pumps
- Calibration curves for Photometry - polarimetry - AAS - etc.
- Preparation of performance curves for machines ,
graphical representation of curves with manual change possibility of coefficients
Creating a mathematical relation of graphic templates for acquisition
in computer programs
- Mathematical relationship of value pairs as a function of x by:
f ( x) = ax + b for straight lines with and without intercept ( b = 0) possibility
calculating force with by 0/0
- Error for the slope and intercept .
- Error for each measured value in % and absolute.
- Correlation coefficient.
Graphical representation of the calculated function on the screen - at variable
In order to optimize the calculation of additional pairs of values can be appended , deleted or changed .
For the presentation of functions and technical processes with mathematical operations in a non-linear curve.
Creating a formula from a value table with nonlinear history
Detection of operations with non-linear character
- Creation of curves or absorption curves
- Performance curves for machines
- Forming Calculations n in a degree function.
For a number of measurements a mathematical function is calculated to 9 polynomial.
Graphical representation of the calculated function on the screen
manual drawing straight in the coordinate system
Target of slope + intercept or 2 points
Calculation of intersection, intersection angles, axle breakdown
Representation of parabolas with X / Y symmetry and form Y = ax² + bx + c