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z`Vx^)4)O|$a8RFvaZ>-j*u8c!UYolZUHYAk5$7BynsGsl$^&4o^mVR5XRe95RQR7` zH2~^Zd?ZqX)3oumFEym8{gc^^@T4SYTA=GFZkZn%7=?4G%o<0M@Ko6EEMN;CRt!6w8+{*T0=m-|=_u+^O%`(t&(v zi1PAstY5!gb#1C{PS(#q|6Ip!D!=A}(LW#@!jP-3#pIWt#gJorqj%q4Vh`2^uy7$? zJ 这样转换后,公式和线性公式是一样的 + +标准方程为![1604926406229](assets/1604926406229.png) + +将计算数据代入![1604926439380](assets/1604926439380.png) + +解得![1604926455663](assets/1604926455663.png) + +![1604926463864](assets/1604926463864.png)= -0.4377 + 60.4x' + +x' = 1/x 代入 + +![1604926496771](assets/1604926496771.png)=-0.4377+![1604926508213](assets/1604926508213.png) + +**多重共线性** + +回归模型中两个或两个以上的自变量彼此相关的现象 + +举例 x1={10,8,6,4},x2={5,4,3,2},那么x1是两倍的x2 + + + +多重共线性带来的问题有: + +- 回归系数估计值的不稳定性增强 +- 回归系数假设检验的结果不显著等 + +**多重共线性检验的主要方法** + +- 容忍度 +- 方差膨胀因子(VIF) + +容忍度: + +![1604926618861](assets/1604926618861.png) + +- Ri是解释变量xi与方程中其它解释变量间的复相关系数; +- 容忍度在0~1之间,越接近于0,表示多重共线性越强,越接近于1,表示多重共线性越弱; + +**方差膨胀因子** + +方差膨胀因子是容忍度的倒数 + +![1604926821269](assets/1604926821269.png) + +- VIFi越大,特别是大于等于10,说明解释变呈xi与方程中其他解释变量之间有严重的多重共线性; +- VIFi越接近1,表明解释变量xi和其他解释变量之间的多重共线性越弱; +