基于MATLAB的二元线性回归在小孔流速实验中的应用  

The Application of Binary Linear Regression in the Experiment of Keyhole Flow Velocity Based on MATLAB

作　　者：黄育红[1] 马杰[1] 张慕华[1] 王恒通 杨宗立[1] 

机构地区：[1]陕西师范大学,陕西西安710119

出　　处：《大学物理实验》2016年第1期94-97,107,共5页Physical Experiment of College

基　　金：国家自然科学基金(No.51302162);陕西省自然科学基金(2014JQ1016);陕西师范大学中央高校基本科研业务费专项资金资助(No.GK261001150)

摘　　要：利用MATLAB软件对相关物理量进行二元线性回归拟合,求出了拟合曲线的待定参数和置信区间,拟合曲线与实验测试数据点符合较好。总结出小孔流速的经验公式,并对减少实验误差的途径进行了讨论。The relationships between water velocity at the exit of the keyhole and diameter as well as height of the water in the vessel have been systematically investigated. Dualistic linear regression fittings are also per-formed referring to the related physical quantities. The corresponding undetermined parameters and the confi-dence interval of the fitted curves are determined. The fitting curves are in good agreement with the experimen-tal data. Furthermore,the empirical formula of the keyhole flow velocity is obtained and the method of reducing experimental errors is discussed.

关 键 词：小孔流速 二元线性回归 MATLAB 回归模型 残差及置信区间 

分 类 号：O4-39[理学—物理]