问题如下:
Mixcell does the regression analysis of X and Y and gets the following results:
Given the n is 52, which of the following conclusions is most likely correct?
选项:
A.X has a negative influence on Y.
B.Intercept Coefficient is not significant at the 5% level.
C.X is significant at the 5% level.
解释:
C is correct.
考点: Regression Coefficient: T-test.
解析: 当df=n-2=50 α=5%时, 查表可得, 此时的分界点为2.009,均小于intercept和X的t-Statistic,所以both X and intercept coefficient are significant at the 5% level,C正确,B错误。由表可知,slope即X的coefficient为4.5698,为positive,所以X has a positive influence on Y,A错误。
老师,这道题置信区间不是4.5698土1.96*1.2987=(2.0243, 7.115)么?那么T统计量很明显在接受域呀,应该是not significant,C怎么能对呢?