Mathematics, 18.12.2021 03:50 ellenweiklee8581
The following estimated regression equation was developed for a model involving two independent variables.
ŷ = 40.7 + 8.63x1 + 2.71x2
After x2 was dropped from the model, the least-squares method was used to obtain an estimated regression equation involving only x1 as an independent variable.
ŷ = 42.0 + 9.01x1
(a)
Give an interpretation of the coefficient of x1 in both models.
In the two independent variable case, the coefficient of x1 represents the expected change in y corresponding to a ---Select--- unit ---Select--- in x1 when x2 is held constant. In the single independent variable case, the coefficient of x1 represents the expected change in y corresponding to a ---Select--- unit increase in x1.
(b)
Could multicollinearity explain why the coefficient of x1 differs in the two models? If so, how?
---Select---. If x1 and x2 are correlated, one would expect a change in x1 to be ---Select--- a change in x2.
---Select--- 1 Options
A) one
B) two
C) three
D) four
E) five
---Select--- 2 options
A) increase
B) decrease
---Select--- 3 options
A) one
B) two
C) three
D) four
E) five
---Select--- 4 options
A) Yes
B) No
---Select--- 5 options
A) accompanied by
B) independent of
Answers: 2
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The following estimated regression equation was developed for a model involving two independent vari...
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