问题如下:
Whisky wants to investigate that whether variable A and B have a linear relationship with variable C, and variable A and B are independent variables, variable C is dependent variable. He does the multiple regression analysis and gets the following results:
If n is 51, which of the following conclusions is most likely correct?
选项:
A.Both A and B are significant at the 0.1 level.
B.A is significant at the 0.1 level.
C.B is significant at the 0.1 level.
解释:
B is correct.
考点: Regression Coefficient: T-test.
解析: 这道题可以直接通过比较P-value和α的值来判断是否significant。当P-value小于α时,我们拒绝原假设,此时变量是significant的。在这题中,只有变量A符合条件,所以A is significant at the 0.1 level。选择B选项。
这道题是不是可以简单来看,因为sample size是150,很大了。所以会近似正太分布Z表,0.1Level,就是90%,所以检验值就应该近似1.65,现在B是接近,而C是小于,所以就肯定是B了。这样理解对吗?