The purpose of this study is to find a prediction regression equation of th
e welding process parameters in order to obtain the desired geometry of the
back-bead in butt welding, a form of gas metal are welding in which a groo
ve gap exists. The regression model equation is obtained from welding proce
ss parameters through the correlation of the parameters of the back-bead, t
o which an inverse transformation is performed. From the parameters of the
back-bead, the correlation between the welding process parameters was found
in a regression model equation. The accuracy of the regression model was p
roven through the mean error rate for prediction under conditions of data f
or the analysis level and the verification level respectively. As a result,
the maximum prediction error rate in the forward process was under 9.5 per
cent, and the prediction error rate in the inverse process, which is the p
rediction for the welding process parameters, was under 6.5 per cent, provi
ng that a regression equation of the model for the prediction system of the
back-bead can be obtained through both processes.