回归方程中待估参数有效数字位的选取准则

用实验方法确定经验公式时,回归方程中用最小二乘方法求得的待估参数的估计值往往是一个很长的数。用这个很长的数来表达经验公式显得冗长而不实用。如果估计值位数取得过少,则会影响回归方程的精度。本文根据误差理论和有效数字运算规则,在保证回归精度的条件下,提出估计值最少有效数字位的选取准则。

Criterion of selecting significant figure of estimating parameter in regression equation

When determining empirical formula with test method,estima- tion value of estimated parameter in regression equation which is obtained with least square method always is a long number.So long number to expre- ssing empirical formula that appears not only lengthy but also less practica- lity.If the estimated data undergone rounding off are taken less digit,it will have influence on regression precision.On the basis of error theory and opera- tion regulation of significant figure,in this paper a selection criterion of significant figure of estimated value is put forward under the condition of ensuring regression precision.