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Lich · 2024年11月02日

如题

NO.PZ2023091601000123

问题如下:

For a sample of 400 firms, the relationship between corporate revenue (Yi) and the average years of experience per employee (Xi) is modeled as follows:


You wish to test the joint null hypothesis that at the 95% confidence level. The p-value for the t-statistic for β1is 0.07, and the p-value for the t-statistic forβ2is 0.06. The p-value for the F-statistic for the regression is 0.045. Which of the following statements is correct?

选项:

A.

You can reject the null hypothesis because each β is different from 0 at the 95% confidence level

B.

You cannot reject the null hypothesis because neitherβis different from 0 at the 95% confidence level

C.

You can reject the null hypothesis because the F-statistic is significant at the 95% confidence level

D.

You cannot reject the null hypothesis because the F-statistic is not significant at the 95% confidence level

解释:

The T-test would not be sufficient to test the joint hypothesis. In order to test the joint null hypothesis, examine the F-statistic, which in this case is statistically significant at the 95% confidence level. Thus the null can be rejected

我想问下这个A错的地方?因为落在拒绝区域,是不是应该beta1-N不全为0?英文怎么表达合适呢

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李坏_品职助教 · 2024年11月02日

嗨,从没放弃的小努力你好:


嗯,F检验拒绝原假设的意思就是至少有一个beta不为0,可以改为“because at least one β is different from 0 at the 95% confidence level”

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NO.PZ2023091601000123 问题如下 For a sample of 400 firms,the relationship between corporate revenue (Yi) anthe average years ofexperienper employee (Xi) is molefollows: Youwish to test the joint null hypothesis ththe 95% confinlevel. Thep-value for the t-statistic for β1is 0.07, anthe p-value for thet-statistic forβ2is 0.06. The p-value for the F-statistic for theregression is 0.045. Whiof the following statements is correct? A.Youcrejethe null hypothesis because eaβ is fferent from 0 the 95%confinlevel B.Youcannot rejethe null hypothesis because neitherβis fferent from 0 the95% confinlevel C.Youcrejethe null hypothesis because the F-statistic is significant the95% confinlevel Youcannot rejethe null hypothesis because the F-statistic is not significant atthe 95% confinlevel TheT-test woulnot sufficient to test the joint hypothesis. In orr to testthe joint null hypothesis, examine the F-statistiwhiin this case isstatistically significant the 95% confinlevel. Thus the null crejecte 何老师在习题课中讲这道题的时候说“AB不对是因为t检验检测的根本不是beta是不是等于零”我想问一下 在这道题中t检验检测的是啥?

2023-10-27 13:25 1 · 回答

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