回归分析在F-P标准具测量实验中的应用  

The Application of Regression Analysis in the Experiment of F-P Etalon

作　　者：刘松江[1,2] 范冬阳[1] 徐美娟[1] 

机构地区：[1]东北石油大学电子科学学院,大庆163318 [2]黑龙江省高校校企共建测试计量技术及仪器仪表工程研发中心

出　　处：《科学技术与工程》2012年第30期7986-7988,8003,共4页Science Technology and Engineering

摘　　要：以测量法布里-珀罗标准具间隔实验中小数序的计算为例,分别建立一元线性回归模型Di2=b0+b1i、二元线性回归模型Di2=b0+b1i+b2i2、加权回归模型及近似直线回归模型Di2=b0+b1i*,采用最小二乘法数据处理过程,分析其应用条件和优缺点,得出近似直线回归方法可以在物理实验处理中广泛应用。In order to measure the fractional order in the experiment of accurate calculation of the spacing of the F-P etalon, a linear regression model ofDi=b0＋bli＋b2i, two element linear regression model of Di=b0＋bli＋b2i^2, weighted regression model and approximate linear regression model ofDi=b0＋bli＋b2i^＊ are set up. Using the least square method, the application condition and the advantages are analyzed ; the conclusion is that the approxi-mate linear regression method can be used in physical experiments and some other processing.

关 键 词：最小二乘法 回归分析 小数重合法 

分 类 号：O436.1[机械工程—光学工程]