求过程

问题如下：

Tom wants to predict the income of his factory in October 20X9, so he uses income of January 20X6 to September 20X9 as samples to make a AR(1) model and gets the following result: $X_t=293.5742+0.9387X_{t-1}$

What is the long-run mean?

选项：

A.

4957.63

B.

4789.14

C.

293.57

D.

273.57

解释：

B is correct.

解析：根据题目中给定的AR(1)方程，可以得到long-run mean=293.5742/(1-0.9387) =4789.1387 。