Reverse Linear Regression

From: Harold A. Climer (hclimer_at_prodigy.net)
Date: 07/05/04 

Date: Mon, 05 Jul 2004 21:00:32 GMT

  I was wondering if there is an algorithm that can be used
to create a set of n linear (X,Y) data points with a defined slope m,
y intercept b, STD DEV m and STD DEV b.
I could use it in making up lab questions
            i.e If a table of Voltage and Current data is given for
an unknown resistor, plot the values Voltage vs Current and find the
value of resistor and the error in the resistance. Also determine how
linear the data is. In some cases I have the more advanced students
use their calculators to analyze the data or sometimes I have them use
graph paper and eyeball it for the line of best fit.
             I have done this by hand using my HP48GX calculator, but
it would be nice to just type in the values for the slope, etc specify
the number of points wanted and have it churn out the "original
data".
        I would like to do his in MAPLE if possible. I use it quite
often, and my programming skills in other languages are either
extremely rusty or nonexistent.
It would also be nice to generate non-linear data for log or
exponential functions, since these functions also fit certain physical
phenomena.
Harold A. Climer
Dept. Of Physics,Geology, and Astronomy
U.T. Chattanooga
318 Grote Hall
615 McCallie Ave
Chattanooga TN 37403

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