NO.PZ2023091601000124
问题如下:
Use the following
information to answer the following question .
Regression Statistics
R squared
0.8537
R sq. adj.
0.8120
Std. error
10.3892
Num obs.
10
ANOVA
dfSS
MS F P-value
Explained
2 4410.4500 2205.2250
20.4309 0.0012
Residual
7 755.5500 107.9357
Total
9 5166.0000
CoefficientsStd. Errort-StatP-value
Intercept
35.5875 6.1737 5.7644
0.0007
X11.8563 1.6681 1.1128
0.3026
X2 7.4250 1.1615
6.3923 0.0004
Based on the
results and a 5% level of significance, which of the following hypotheses can
be rejected?
I.H0: B0 = 0
II.H0: B1 = 0
III.H0: B2 = 0
IV.H0: B1 = B2 = 0
选项:
A.I, II, and III
I and IV
III and IV
I, III, and IV
解释:
The
t-statistics for the intercept and coefficient on are significant as indicated
by the associated p-values being less than 0.05: 0.0007 and 0.0004
respectively. Therefore, H0: B0 = 0 and H0: B2 = 0 can be rejected. The F-statistic on the
ANOVA table has a p-value equal to 0.0012; therefore, H0: B1 = B2 = 0 can be rejected. The p-value for the
coefficient on is greater than five percent; therefore, H0: B1 = 0 cannot be rejected.