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施宏斌 · 2019年03月24日

关于Time Trend Model 适用性的解读(原版书课后Reading 9 第二题)

原本书 CFA 数量                    

Figure 1 compares the predicted civilian unemployment rate (PRED) with the actual civilian
unemployment rate (UER) from January 1996 to December 2000. The predicted results come from
estimating the linear time trend model UER
t = b0 + b1t + εt               

What can we conclude about the appropriateness of this model?



课后答案是

                      

The difference between UER and its forecast value, PRED, is the forecast error. In an appropriately
specified regression model, the forecast errors are randomly distributed around the regression line
and have a constant variance. We can see that the errors from this model specification are persistent.
The errors tend first to be above the regression line and then, starting in 1997, they tend to be below
the regression line until 2000 when they again are persistently above the regression line. This
persistence suggests that the errors are positively serially correlated. Therefore, we conclude that the
model is not appropriate for making estimates.


对分析过程和结论不是很理解, 何为通过图标就可以得出 positively 对结论?
             


    


1 个答案

菲菲_品职助教 · 2019年03月25日

同学你好,因为positively的序列相关的特征就是,呈现出一个趋势性。如下图所示:

本题也是这样:

这张图上的黑色实线可以看出来,也是呈现出这样一个趋势性的走向,所以是positive的。

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