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海伦岛主 · 2021年08月14日

能否请助教再解释下这道题

* 问题详情,请 查看题干

NO.PZ201512020300000901

问题如下:

Based on Exhibit 1, Olabudo should:

选项:

A.

conclude that the inflation predictions are unbiased.

B.

reject the null hypothesis that the slope coefficient equals 1.

C.

reject the null hypothesis that the intercept coefficient equals 0.

解释:

A is correct. If the consensus inflation forecast is unbiased, then the intercept, b0, should equal 0, and the slope coefficient, b1, should equal 1. The t-statistic for the intercept coefficient is 0.5351, which is less than the critical t-value of 2.0, so the intercept coefficient is not statistically different than 0. To test whether the slope coefficient equals 1, the t-statistic is calculated as: t=–1.0968

Because the absolute value of the t-statistic of –1.0968 is less than the critical t-value of 2.0, the slope coefficient is not statistically different than 1. Therefore, Olabudo can conclude that the inflation forecasts are unbiased.

The t-statistic for the intercept coefficient is 0.5351, which is less than the critical t-value of 2.0, so the intercept coefficient is not statistically different than 0. 


此处的H0是intercept=0

计算出的t统计量为:0.5(表格中式0.5351)小于2.0,应该是在接受域中吧?

1 个答案

星星_品职助教 · 2021年08月14日

同学你好,

对的,检验结果就是b0=0,结合后面一个检验结论b1=1,就可以得到“the inflation predictions are unbiased”的结论。

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根据题干条件,写出用于预测的方程为:

Actual US CPI =b0 + b1 CPI consensus forecast,

通过方程可以看出,当b0=0,b1=1时,就相当于Actual US CPI =CPI consensus forecast。这时预测得出的CPI(CPI consensus forecast)正好等于了真实CPI(Actual US CPI)。这就说明了预测是准确的没有偏差的(unbiased)。