Given the following portion of regression results, which of the following conclu
ID: 3066902 • Letter: G
Question
Given the following portion of regression results, which of the following conclusions is true with regard to the F test at the 5% significance level?
df
SS
MS
F
Significance F
Regression
2
3,500
1,750
0.1000
Residual
20
13,500
675
Total
22
17,000
A. Neither of the explanatory variables is significantly related to the response variable.
B. Both of the explanatory variables are significantly related to the response variable.
C. Exactly one of the explanatory variables is significantly related to the response variable.
D. At least one of the explanatory variables is significantly related to the response variable.
df
SS
MS
F
Significance F
Regression
2
3,500
1,750
0.1000
Residual
20
13,500
675
Total
22
17,000
Explanation / Answer
Ans:
H0 : ?1 = ?2 =0
HA : At least one ?j ? 0 (for j = 1, 2,)
From given data:
F=1750/675=2.59
p-value=FDIST(2.59,2,20)=0.1000
As,p-value>0.05,we fail to reject null hypothesis.
Option A is correct.( Neither of the explanatory variables is significantly related to the response variable.)
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