问题如下:
After doing the regression analysis, if the p-value for both intercept and slope coefficient are smaller than 0.1, and also the Significance F is smaller than 0.1, which of the following conclusions is most likely correct?
选项:
A.The relationship between independent variable and dependent variable is not significant at 0.1 level.
B.The relationship between independent variable and dependent variable is significant at 0.05 level.
C.The relationship between independent variable and dependent variable is significant at 0.1 level.
解释:
C is correct.
考点: Regression Coefficient: F-test.
解析: 由题干可知P-value和Significance F均小于α(0,1),说明自变量和因变量之间的关系在α =10%时是显著的,选择C选项。
F检验的值大于查表值,拒绝原假设,原方程中系数至少有一个≠0。题中F值很小为0.1,不能拒绝原假设,为什么还说原方程显著呢?