Curvilinear Regression

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R. S. Chandel - One of the best experts on this subject based on the ideXlab platform.

  • Linear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, M J Bibby, R. S. Chandel
    Abstract:

    Abstract Traditionally, Curvilinear Regression equations have been used for modeling the geometrical features of the submerged-arc welding process. However, recent investigation has shown that, due to low tolerance in some cases, it is not possible to include all variables in the Regression analysis. This investigation was therefore carried out to study the feasibility of using linear Regression equations instead of Curvilinear techniques to model the weld features. The linear Regression equations are found to give correlation coefficients similar to those obtainable from Curvilinear Regression equations. The average mean, standard deviation, minimum value and maximum value of the deviations between the measured features and those computed by use of the linear Regression equations are only slightly (1.38–5.40%) higher. Linear Regression equations are equally suitable, therefore, for modeling the sub-merged-arc welding process.

  • An analysis of Curvilinear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, R. S. Chandel, M J Bibby
    Abstract:

    Abstract Curvilinear Regression equations have traditionally been used for modeling the weld bead geometrical features of the submerged-arc welding process, but, however, only the correlation coefficients have been reported. This investigation was carried out to study the relationship, if any, between the correlation coefficient and the standard deviation of the deviations between the predicted and measured values, with respect to melting rate, total fusion area, penetration, deposit area, bead height and bead width. It is found that there is no strong relationship between the correlation coefficient of a correlation equation and the standard deviation of the deviations between the predicted and measured values. A low correlation coefficient does not necessarily mean that there are standard-deviation consequences for weld-bead features. The statistical analysis has provided other useful information also. It is found that the mean deposit area obtained directly from the melting rate is higher, since it is assumed that all the melted metal goes into the weld deposit without any losses. It is estimated that the metal loss through vaporization is about 4% and 8% for positive electrode polarity and negative electrode polarity, respectively.

M J Bibby - One of the best experts on this subject based on the ideXlab platform.

  • Linear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, M J Bibby, R. S. Chandel
    Abstract:

    Abstract Traditionally, Curvilinear Regression equations have been used for modeling the geometrical features of the submerged-arc welding process. However, recent investigation has shown that, due to low tolerance in some cases, it is not possible to include all variables in the Regression analysis. This investigation was therefore carried out to study the feasibility of using linear Regression equations instead of Curvilinear techniques to model the weld features. The linear Regression equations are found to give correlation coefficients similar to those obtainable from Curvilinear Regression equations. The average mean, standard deviation, minimum value and maximum value of the deviations between the measured features and those computed by use of the linear Regression equations are only slightly (1.38–5.40%) higher. Linear Regression equations are equally suitable, therefore, for modeling the sub-merged-arc welding process.

  • An analysis of Curvilinear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, R. S. Chandel, M J Bibby
    Abstract:

    Abstract Curvilinear Regression equations have traditionally been used for modeling the weld bead geometrical features of the submerged-arc welding process, but, however, only the correlation coefficients have been reported. This investigation was carried out to study the relationship, if any, between the correlation coefficient and the standard deviation of the deviations between the predicted and measured values, with respect to melting rate, total fusion area, penetration, deposit area, bead height and bead width. It is found that there is no strong relationship between the correlation coefficient of a correlation equation and the standard deviation of the deviations between the predicted and measured values. A low correlation coefficient does not necessarily mean that there are standard-deviation consequences for weld-bead features. The statistical analysis has provided other useful information also. It is found that the mean deposit area obtained directly from the melting rate is higher, since it is assumed that all the melted metal goes into the weld deposit without any losses. It is estimated that the metal loss through vaporization is about 4% and 8% for positive electrode polarity and negative electrode polarity, respectively.

L.j. Yang - One of the best experts on this subject based on the ideXlab platform.

  • Linear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, M J Bibby, R. S. Chandel
    Abstract:

    Abstract Traditionally, Curvilinear Regression equations have been used for modeling the geometrical features of the submerged-arc welding process. However, recent investigation has shown that, due to low tolerance in some cases, it is not possible to include all variables in the Regression analysis. This investigation was therefore carried out to study the feasibility of using linear Regression equations instead of Curvilinear techniques to model the weld features. The linear Regression equations are found to give correlation coefficients similar to those obtainable from Curvilinear Regression equations. The average mean, standard deviation, minimum value and maximum value of the deviations between the measured features and those computed by use of the linear Regression equations are only slightly (1.38–5.40%) higher. Linear Regression equations are equally suitable, therefore, for modeling the sub-merged-arc welding process.

  • An analysis of Curvilinear Regression equations for modeling the submerged-arc welding process
    Journal of Materials Processing Technology, 1993
    Co-Authors: L.j. Yang, R. S. Chandel, M J Bibby
    Abstract:

    Abstract Curvilinear Regression equations have traditionally been used for modeling the weld bead geometrical features of the submerged-arc welding process, but, however, only the correlation coefficients have been reported. This investigation was carried out to study the relationship, if any, between the correlation coefficient and the standard deviation of the deviations between the predicted and measured values, with respect to melting rate, total fusion area, penetration, deposit area, bead height and bead width. It is found that there is no strong relationship between the correlation coefficient of a correlation equation and the standard deviation of the deviations between the predicted and measured values. A low correlation coefficient does not necessarily mean that there are standard-deviation consequences for weld-bead features. The statistical analysis has provided other useful information also. It is found that the mean deposit area obtained directly from the melting rate is higher, since it is assumed that all the melted metal goes into the weld deposit without any losses. It is estimated that the metal loss through vaporization is about 4% and 8% for positive electrode polarity and negative electrode polarity, respectively.

Heiner E. Goldbach - One of the best experts on this subject based on the ideXlab platform.

Daniel L. Gillen - One of the best experts on this subject based on the ideXlab platform.