On May 15, 2006, at 1:11 AM, John Fortiner wrote: > Ron: The "smoothing" is simply a "rounding off" of values. > Sometimes it > rounds up and sometimes down depending on settings. Sort of like > saying the > over tension is "about" 40k lbs on a piano. That is a "smoothed" > figure. > It is totally impossible to derive an "exact" from that. To derive > the > "exact" a person would have to have all the raw data to recalculate > again..... Of course the raw data is available one or two columns over. In the program that I've always used for charting and statistical smoothing (polynomial or otherwise), DeltaGraphPro ( http://www.rockware.com/ catalog/pages/deltagraphw.html ), the specific values are available by copying the formula to another column, and then making a few quick manual edits. The process is the same as described by Ron. You tell the program here is the column whose data was smoothed, and here is the formula (including such specifications such as the polynomial degree, the number of bezier nodes used to draw the curve, and whether or not point on the x-axis, say #0,#89 and#90, which have y-axis value of 0, should be allowed to skew the curve.) You then ask the program to return the y-values of each x-axis increment as it intersects the curve-fit. Of course, my math skills take an irreversible hop from the left brain to the right, somewhere soon after the basic concepts of the integral and differential (....never did figure out what makes "e" such a useful benchmark in higher mathematics, even though I once read an entire popular math book on it .....). Mr. Bill
This PTG archive page provided courtesy of Moy Piano Service, LLC