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。
根据题目中的表格已经可以明确看出A的t值是大于1.69而B则小于1.69,所以可以直接得出答案B。为什么解析中还需要考虑P值和α?