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eva · 2024年05月08日

不明

NO.PZ2023091601000125

问题如下:

1.1 A risk manager has estimated a regression of a firm’s monthly portfolio returns against the returns of three U.S. domestic equity indexes: the Russell 1000 index, the Russell 2000 index, and the Russell 3000 index. The results are shown below.

Based on the regression results, which statement is correct?

选项:

A.

The estimated coefficient of 0.3533 indicates that the returns of the Russell 3000 index are more statistically significant in determining the portfolio returns than the other two indexes

B.

The high adjusted R2 indicates that the estimated coefficients on the Russell 1000, Russell 2000, and Russell 3000 indexes are statistically significant

C.

The high p-value of 0.9452 indicates that the regression coefficient of the returns of Russell 1000 is more statistically significant than the other two indexes

D.

The high correlations between each pair of index returns indicate that multicollinearity exists between the variables in this regression

解释:

This is an example of multicollinearity, which arises when one of the regressors is very highly correlated with the other regressors. In this case, all three regressors are highly correlated with each other, so multicollinearity exists between all three. Since the variables are not perfectly correlated with each other this is a case of imperfect, rather than perfect, multicollinearity.

為什麼A reject 就不顯著。C reject就顯著呢?

1 个答案

pzqa39 · 2024年05月09日

嗨,从没放弃的小努力你好:


A:0.3533 的估计系数表明,罗素 3000 指数的收益在决定投资组合收益方面比其他两个指数更具统计意义。

这个不对,因为有没有意义不看系数,看的是R方


C:0.9452 的高 p 值表明,罗素 1000 指数收益率的回归系数比其他两个指数更具有统计意义。

高的P值会接受原假设,所以应该是更没有统计意义才对。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!