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小熊猫 · 2023年10月27日

t检验检测什么?

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

何老师在习题课中讲这道题的时候说“AB选项不对是因为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?

1 个答案
已采纳答案

pzqa27 · 2023年10月27日

嗨,努力学习的PZer你好:


这个题不用T检验,这个题是做联合检验,用的是F检验,而且这个题何老师当时讲的有些问题,请扫码讲义首页的二维码参考最新的勘误内容。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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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 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

2024-11-02 15:16 1 · 回答

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 1.此题为一元线性回归,为什么用f检验?而不是t检验?2.原题目解析中“whiin this case is statistically significant the 95% confinlevel‘’是怎么判断的?

2023-10-19 11:22 1 · 回答