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追梦赤子 · 2021年04月17日

If the consensus inflation forecast is unbiased, then the intercept, b0, should equal 0, and the slope coefficient, b1, should equal 1.

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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.

If the consensus inflation forecast is unbiased, then the intercept, b0, should equal 0, and the slope coefficient, b1, should equal 1. 怎么理解。为啥无偏有这个要求?

1 个答案

星星_品职助教 · 2021年04月17日

同学你好,

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)。

注意这里的“unbiased”直接字面意思直译为“估计没有偏差”就可以了,不需要往统计学上的无偏性去理解。

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NO.PZ201512020300000901 老师好 为啥 If the consensus inflation forecast is unbiase then the intercept, b0, shoulequ0, anthe slope coefficient, b1, shoulequ1. 这里该怎么理解?谢谢

2021-11-11 16:07 1 · 回答

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