用回归分析方法研究单摆周期与幅角的关系

Research on the relationship between the cycle and the angle of a simple pendulum with regression analysis method

依据回归分析方法,计算多组实验所测单摆周期T与幅角θ数据的T^2θ和T2~θ2的几种拟合指标:剩余平方和Q,剩余标准差S,相关指数R2。比较各项拟合指标,得出单摆周期T与幅角θ的最佳线性拟合是T2~θ2拟合关系。

Based on the regression analysis method, we calculate several kinds of indexes of fitting of T -θ^2,T^2-θ^2： surplus sum of squares Q, surplus standard deviation S, relevant index R^2 about the multi - groups experimental data of the cycle T and the angle θ of a simple pendulum. Compared with each indexes of fitting, the best linear fitting fits the relations of the cycle T and the angle θ of a simple pendulum.