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前言在科学实验和统计研究中,常常需要从一组测得的数据,例如N对(x_i,y_i)去求得自变量x和因变量y的一个近似函数关系式y=f(x)。从图形上看,就是从给定的N个点(x_i,y_i)(其中i=1,2,3,…N)去拟合曲线的问题。许多科学上的经验式,例如物质比热与温度的关系式C_p=a+bT+cT~2,就是用曲线拟合法求得的。由于测量数据总是会有误差的,因此曲线拟合的任务,并不要求所求的曲线通过所有的点(x_i,y_i),而是要绘出一条近似的曲
Introduction In scientific experiments and statistical studies, it is often necessary to find an approximate functional relationship y = f (x) between a variable x and a dependent variable y from a set of measured data, such as N pairs (x_i, y_i). From a graphical point of view, it is from a given N points (x_i, y_i) (where i = 1,2,3, ... N) to fit the curve problem. Many scientific empirical formulas, such as the relationship between the specific heat and the temperature of matter, C_p = a + bT + cT ~ 2, are obtained by curve fitting. Since the measured data will always be erroneous, the task of curve fitting does not require that the desired curve pass through all the points (x_i, y_i), but rather draw an approximate curve