## A review of the curve-fitting method of least squares as applied to petroleum engineeringU.S. Bureau of Mines; [for sale by the Supt. of Docs., U.S. Govt. Print. Off., 1970 - Least squares - 27 pages |

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APPLIED TO PETROLEUM approximating function ARITHMETIC STATEMENT FUNCTIONS b f x BUILD MATRIX Bureau of Mines convergence CURVE-FITTING METHOD data points Equation 26 ereth errors find the set forecasting production FORTRAN IV functions f give nearly equal INITIAL ESTIMATES initial guesses iteration scheme ith point least squares criterion least squares fit linear equations linear least squares logarithmic transformation matrix multiplication matrix notation MCOEFF method of least minimize the sum minimum nearly equal weight nonlinear least squares NPTS NUMBER OF COEFFICIENTS number of data parabola partial derivatives petroleum engineer plot POINTS 1 DIMENSION principle of least proposed by Pennington relative errors residual of 1000 satisfies the least set of b's solve SQUARES AS APPLIED STATEMENT FUNCTIONS DESCRIBING straight line sum of squares system of equations taht transformed equation type of function unique solution set unknown coefficients unwanted weighting values