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kentQ · 2025年02月18日

请解释一下 看不懂 谢谢

NO.PZ2024120401000024

问题如下:

In a model with two explanatory variables,:

what does the correlation need to be between the two regressors, X1 and X2, for the variance inflation factor to be above 10?

选项:

A.

between 0.948 and 1.0

B.

between -0.948 and 0

C.

between 0 and 0.948

D.

between -0.9 and 0

解释:

The variance inflation factor is, where Rj2 measures how well variable j is explained by the other variables in the model. Here there are two variables,

and so Rj22x1x2.

The variance inflation factor of 10 solves to:

10 = 1/(1-ρ2x1x2), so that (1-ρ2x1x2) = 1/10, ρ2x1x2=0.9.

Correlations greater than (in absolute value) sqrt(0.9)≈0.948 would produce values of the variance inflation factor above 10.

请解释一下 看不懂 谢谢

1 个答案

李坏_品职助教 · 2025年02月20日

嗨,努力学习的PZer你好:


题目问你,X1和X2之间的相关系数必须达到多少,才能让variance inflation factor大于10?(这个叫方差膨胀因子,是用来检测多重共线问题的)


variance inflation factor = 1/(1-相关系数的平方)。

让variance inflation factor = 10,那么10 = 1/(1-相关系数的平方),此时相关系数的平方 = 0.9,那么相关系数=根号0.9≈0.948.




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