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thornahawk
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Joined: 27 Mar 2005
Posts: 569

Posted: 18 Feb 2010 09:20:48 pm    Post subject:

Here's a short program for generating the coefficients a and b of a regression line a+bx corresponding to given data (x and y coordinates in L₁ and L₂, respectively) and passing through a fixed point (X,Y):


Code:
PROGRAM:LINFIX
dim(L₁)→N
If N≠dim(L₂)
Stop
sum((L₁-X)(L₂-Y))/sum((L₁-X)²)→B
Y-XB→A
L₂-(A+BL₁)→RESID
√(1-sum(∟RESID²)/variance(L₂)/(N-1))→R
Disp "{a,b,r}"
{A,B,R}


Apart from the coefficients, the Pearson correlation coefficient r as well as the residuals ∟RESID are generated; you can remove the corresponding lines if you don't need them.

thornahawk
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