re:Determining a Least Squares Fit to an Exponential Curve

Drgnhearts@aol.com
Tue, 19 Oct 1999 23:52:38 EDT

Y = ae^(bX) => lnY = lna + bX
sub Y' = lnY & a' = lna => Y' = a' + bX

b = (XY'bar - Xbar * Y'bar)/(X^2bar - Xbar^2)
a' = Y'bar - b * Xbar

to obtain a value for Yo given Xo, we solve for Y'o then solve for Y
a' + bXo = Y'o = lnYo => Yo = e^(Y'o)

I have a question, it is the 1982 exam Question#60a.b. (It's in the CSM
Berquist Sherman section) regarding bias....I'm clueless on that one!