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小黑龙 · 2020年01月04日

问一道题:NO.PZ2015120204000006

问题如下:

The independent variable is the ratio of net income to sales for restaurants with a market cap of more than $100 million and the dependent variable is the ratio of cash flow from operations to sales for those restaurants.

Is the relationship between the ratio of cash flow to operations and the ratio of net income to sales significant at the 5 percent level?

选项:

A.

No, because the R-squared 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 F and t for the slope coefficient are less than 0.05.

解释:

C is correct.

The p-value reflects the strength of the relationship between the two variables. In this case the p-value is less than 0.05, and thus the regression of the ratio of cash flow fromoperations to sales on the ratio of net income to sales is significant at the 5 percent level.

这道题为什么不用F检验?

1 个答案

星星_品职助教 · 2020年01月04日

同学你好,

这道题是用了F检验的,C选项同时包含了t和F这两个检验,由于这两个检验的p-value都小于significant level 5%(两个检验结果一定一致),所以可以说slope coefficient是显著的。

此外具体说一下这两个检验,一般的情况下,一元回归只看t检验就可以了,因为在一元回归里,F和t检验的结果一定是一致的。

F检验更多的是用于多元回归,因为F检验是检验方程整体(也就是所有的X一起的效果)是不是显著的。多元回归有多个X,所以只看每个X系数的t检验可能会有问题,这个时候必须要再看一下F检验一下所有X在一起是不是显著。但一元回归就一个X,所以一般只看t就可以。加油。


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NO.PZ2015120204000006 No, because the p-values of the intercept anslope are less th0.05. Yes, because the p-values for F ant for the slope coefficient are less th0.05. C is correct. The p-value reflects the strength of the relationship between the two variables. In this case the p-value is less th0.05, anthus the regression of the ratio of cash flow fromoperations to sales on the ratio of net income to sales is significant the 5 percent level. 解析只说了p小于0.05

2021-08-24 13:38 1 · 回答

NO.PZ2015120204000006 The p-value reflects the strength of the relationship between the two variables. 这句话不理解。针对题目最后的问题,为什么是看p来判断呢

2021-02-01 21:37 1 · 回答

No, because the p-values of the intercept anslope are less th0.05. Yes, because the p-values for F ant for the slope coefficient are less th0.05. C is correct. The p-value reflects the strength of the relationship between the two variables. In this case the p-value is less th0.05, anthus the regression of the ratio of cash flow fromoperations to sales on the ratio of net income to sales is significant the 5 percent level. 这道题的假设检验中,原假设应该是什么?

2020-05-16 10:37 1 · 回答

No, because the p-values of the intercept anslope are less th0.05. Yes, because the p-values for F ant for the slope coefficient are less th0.05. C is correct. The p-value reflects the strength of the relationship between the two variables. In this case the p-value is less th0.05, anthus the regression of the ratio of cash flow fromoperations to sales on the ratio of net income to sales is significant the 5 percent level. 老师,我感觉我现在很confuse一点是,F 不是64吗,就是大于1.96,所以拒绝,所以significant,但是好像没有。请教老师,这个到底是谁跟谁比啊

2020-03-04 14:49 2 · 回答

问两个问题。1,B为什么错了??2,这道题目不是一元回归吗,为什么C还要用F检验,不应该就T检验就够了吗??

2020-01-11 23:10 2 · 回答