Solution Found!
The complete modely = ?0 + ?1x1 + ?2x2 + ?3x3 + ?4x4 +
Chapter 12, Problem 99E(choose chapter or problem)
The complete model
\(y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{3}+\beta_{4} x_{4}+\varepsilon\)
was fit to n = 20 data points, with SSE = 152.66. The Reduced model, \(y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\varepsilon\), was also fit,with SSE = 160.44.
a. How many \(\beta\) parameters are in the complete model?The reduced model?
b. Specify the null and alternative hypotheses you would use to investigate whether the complete model contributes more information for the prediction of y than the reduced model.
c. Conduct the hypothesis test of part b. Use \(\alpha\ =\ .05\).
Questions & Answers
QUESTION:
The complete model
\(y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{3}+\beta_{4} x_{4}+\varepsilon\)
was fit to n = 20 data points, with SSE = 152.66. The Reduced model, \(y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\varepsilon\), was also fit,with SSE = 160.44.
a. How many \(\beta\) parameters are in the complete model?The reduced model?
b. Specify the null and alternative hypotheses you would use to investigate whether the complete model contributes more information for the prediction of y than the reduced model.
c. Conduct the hypothesis test of part b. Use \(\alpha\ =\ .05\).
ANSWER:Step 1 of 3
(a) The ?rst order model equation was to
n = 20 data points, with SSE = 152.66 . The reduced model
was also ?t, with SSE = 160.44. In this complete
model, there are ?ve -parameters - For the reduced model
there are three ,-parameters .