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
You
cannot reject the null hypothesis because neitherβis different from 0 at the
95% confidence level
You
can reject the null hypothesis because the F-statistic is significant at the
95% confidence level
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
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“which in this case is statistically significant at the 95% confidence level‘’是怎么判断的?