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黄路迦 · 2020年01月11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.

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

2 个答案

Marina_0122 · 2020年01月16日

助教对于B得回答有点迷惑 不选B不是因为p-value<α的结论应该是去拒绝原假设。

要说明the relationship between the ratio of cash flow to operations and the ratio of net income to sales是否significant只要看slope(也就是斜率)就可以了。B的答案还涉及了截距,截距是否显著大于0对于他们的关系是没有影响的。所以不选B。

星星_品职助教 · 2020年01月16日

你的理解是不对的

Marina_0122 · 2020年01月17日

B的No看成Yes了

星星_品职助教 · 2020年01月12日

同学你好,

F检验一般用于多元回归,但是并不是代表F检验不可以在一元回归里使用。只不过因为在一元回归里F和t检验的结果一定是相同的, 所以一般一元回归不用或者不提F检验。

B错误的原因是因为p-value<α的结论应该是去拒绝原假设,也就是“significant”。

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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