Given the model y = ? ? + ? 1 X 1 + ? 2 X 2 + ? 3 X 1 2 + ? 4 X 2 2 + ? and with
ID: 2909670 • Letter: G
Question
Given the model y = ?? + ?1X1 + ?2X2 + ?3X12 + ?4X22 + ? and with n = 20
What is the null hypothesis for testing the squared terms as significant to the model when taken together?
a) Ho: ?3 = ?4 = 0
b) Ha: at least one beta not equal to zero
c) Ho: ?3 = 0
d) Ho: ?1 = ?2 = ?3 = ?4 = 0
Refer to question 8. We can reject Ho if the partial F test statistic is _________ . (with n= 20)
a) >3.06
b) <3.06
c) >3.68
d) <3.68
Given the model y = ?? + ?1X1 + ?2X2 + ?3X12 + ?4X22 + ? and with n = 20
What is the null hypothesis for testing the squared terms as significant to the model when taken together?
a) Ho: ?3 = ?4 = 0
b) Ha: at least one beta not equal to zero
c) Ho: ?3 = 0
d) Ho: ?1 = ?2 = ?3 = ?4 = 0
Refer to question 8. We can reject Ho if the partial F test statistic is _________ . (with n= 20)
a) >3.06
b) <3.06
c) >3.68
d) <3.68
Explanation / Answer
The correct hypothesis is mentioned in option A
While testing this hypothesis, the F statistic is calculated by taking SS due Ho in the numerator which has 2 degrees of freedom and SS error in the denominator which has 15 degrees of freedom.
Thus the tabulated Fvalue is F(2,15) = 3.68
We reject Ho if F > 3.68
Option C
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