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HOHO · 2021年09月18日

没太理解为什么选C

* 问题详情,请 查看题干

NO.PZ202106160300004104

问题如下:

Is the relationship between the ratio of cash flow to operations and the ratio of net income to sales significant at the 0.05 level?

选项:

A.No, because the R2 is greater than 0.05 B.No, because the p-values of the intercept and slope are less than 0.05 C.Yes, because the p-values for Fand t for the slope coefficient are less than 0.05

解释:

C is correct. The p-value is the smallest level of significance at which the null hypotheses concerning the slope coefficient can be rejected. In this case, the p-value is less than 0.05, and thus the regression of the ratio of cash flow from operations to sales on the ratio of net income to sales is significant at the 5% level.

能详细解释下为什么选C吗?

1 个答案
已采纳答案

星星_品职助教 · 2021年09月19日

同学你好,

这道题相当于在对一元回归的系数b1(slope coefficient)做假设检验。

如果p-value<significance level,就是“significant”,也就是拒绝原假设。本题系数b1(slope coefficient)对应的p-value为0,小于0.05的significance level,所以是“significant”。

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一元回归的t检验和F检验结果是统一的,所以不看F也行。

如果看F,判断标准是一样的,F检验对应的p-value也为0,小于0.05的significance level,所以也是“significant”。

以上两者综合起来就是C选项的结论。


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