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Alex · 2024年02月04日

请问选项A是干扰项吗?序列相关是没有正负之分对吧?

NO.PZ2018101001000054

问题如下:

Allen wants to predict the sales volume of his shop in December 20X8, so he uses sales volume of January 20X7 to November 20X8 as samples to make a linear trend model and gets the following result: Y ^ t =264.75+2.58t. And it also shows that the Durbin-Watson statistic of this model is 1.0384.

Given the critical values at the 0.05 significance level for the Durbin-Watson test are Dl=1.26 and Du=1.44. Which of the followings is most likely correct?

选项:

A.

There exists a negative serial correlation in the errors.

B.

There exists a positive serial correlation in the errors.

C.

There exists no serial correlation in the errors.

解释:

B is correct.

考点: Linear trend model & log-linear trend model.

解析: 本题考的是对该线性趋势模型所做的DW检验 。 这道题已经给出了DW统计量和两个临界值点 , 已知DW统计量=1.0384是小于Dl=1.26的 , 就可以得出这个序列相关是正序列相关的结论 。 所以B选项正确 。

请问选项A是干扰项吗?序列相关是没有正负之分对吧?

1 个答案
已采纳答案

品职助教_七七 · 2024年02月04日

嗨,努力学习的PZer你好:


负序列相关是有的,即残差项之间形成了负相关的关系,如残差项一正一负一正一负的循环。

这种情况下,残差项的波动会更大,所以残差项的方差会被高估。引申出系数估计量的方差/标准误会被高估。上述几点和正序列相关正好相反,但最终结论都是t检验和F检验的结果不准。

在金融数据中,正序列相关出现的更为频繁,所以一般讨论的都是正序列相关这种情况,但负序列相关也是存在的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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