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Cooljas · 2024年05月03日

红框里的两问可以具体解释下吗?

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

B.

I and IV

C.

III and IV

D.

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.



1 个答案

品职答疑小助手雍 · 2024年05月04日

同学你好,你问的这一系列的题目全都是经典题的原题哈,不会的话可以听一下讲解。

这题只有一点就是检验对象的p value小于5%就拒绝,大于5%就不拒绝。

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