Asp Forum - Multiple linear regression was updated to version 1.1

Ramine

2/22/2016 10:22:00 PM

Hello...

Multiple linear regression was updated to version 1.1

You can download it from:

https://sites.google.com/site/aminer68/multiple-linear-...

Authors: Amine Moulay Ramdane

Description:

Multiple linear regression that uses SIMD SSE2 instructions and that
implements the following mathematical theorem:

If A is an m x n rank n matrix, then the least-squares solutions to the
system A*vector(X) = vector(C) are the solutions to the system:

A*vector(X)=

A*inverse(transpose(A)*A))*transpose(A)*vector(C).

This system has the following unique solution:

vector(X) = inverse(transpose(A)*A)*transpose(A)*vector(C)

I have updated my multiple linear regression program to support SSE
(Standard Error of the Estimate), the "SSE" is important in quality
control, the interpretation of SSE is similar to standard deviation's
"68-95-99 rule", that is, 68% of the time the predicted score will fall
plus-or-minus 1 x SSE of the actual score based on the regression
equation, 95% of the time the predicted score will fall plus-or-minus 2
x SSE , and 99% of the time the predicted score will fall plus-or-minus
3 x SSE.

So my Multiple linear regression program does show the multiple
regression equation that approximate the statistical data and it
calculates and shows the Coefficient of determination R2 and it
calculates and shows the Standard Error of the Estimate.

I have also included a Matrix library called LinMath that uses SIMD SSE2
instructions and that is multithreaded, LinMath was derived fom mrmath
Matrix library by Rabatscher Michael and modified to become compatible
with both FreePascal and Delphi.

LinMath is offered under the licence agreement described on:

http://www.m...

Please note that the example inside the "test.pas" inside the zip file
have a mathematical function of 4 variables as:

a5:=f(a1,a2,a3,a4)

but notice that if you are using a mathematical function of 4 variables
as in my example inside the test.pas source code, the 5th variable
inside the mat2 matrix must be always 1, this is how my solver works,
but if you have a mathematical function of 2 variables the 3th variable
inside the mat2 matrix must be always 1 , please take a look at the
source code inside the "test.pas" example and you will understand , it's
really easy to work with my multiple linear regression solver.

Language: FPC Pascal v2.2.0+ / Delphi 7+: http://www.freep...

Operating Systems: Windows.

Required FPC switches: -O3 -Sd

-Sd for delphi mode....

Required Delphi switches: -$H+

Thank you,
Amine Moulay Ramdane.

comp.programming.threads

Multiple linear regression was updated to version 1.1

Ramine

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