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ivyisabelle · 2020年01月07日

问一道题:NO.PZ201512020300000803

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问题如下:

Based on Exhibit 2, Vasileva should reject the null hypothesis that:

选项:

A.

the slope is less than or equal to 0.15

B.

the intercept is less than or equal to 0

C.

crude oil returns do not explain Amtex share returns.

解释:

C is correct. Crude oil returns explain the Amtex share returns if the slope coefficient is statistically different from zero. The slope coefficient is 0.2354 and is statistically different from zero because the absolute value of the t-statistic of 3.0974 is higher than the critical t-value of 2.032 (two-sided test for n – 2 = 34 degrees of freedom and a 5% significance level):
t-statistic =( 0.2354-0.0000)/ 0.0760=3.0974
Therefore, Vasileva should reject the null hypothesis that crude oil returns do not explain Amtex share returns because the slope coefficient is statistically different from zero.

解析里面第一句先说,Crude oil returns explain the Amtex share returns if the slope coefficient is statistically different from zero. 后面的数据算出来3.0974大于1.691,拒绝原假设即H0=0,那slope coefficient is statistically different from zero,根据解析第一句话,不就是能够解释吗?为什么后面的结论又是不能解释?前后矛盾啊

1 个答案

星星_品职助教 · 2020年01月07日

同学你好,

可以这么理解。解析的第一句先是总体说了一下: 如果截距的系数显著不为0的话,原油的returns就可以解释Amtex的returns。

然后中间部分是证明为什么系数显著不为0,。

然后最后therefore的那一句里面的“crude oil returns do not explain Amtex share returns”是个定语从句。这一句的意思是V应该拒绝“原油的returns不能解释Amtex的returns”的这个原假设(也就是原油的returns可以解释Amtex的returns的意思),拒绝原假设的原因就是系数显著不为0。

所以,解析的这三个部分反反复复的都在说的都是同一个事儿。都是 1. 系数显著不为0 和2. 可以解释