Consider Example 12.3 on page 447. Compare the two
Chapter 12, Problem 12.41(choose chapter or problem)
Consider Example 12.3 on page 447. Compare the two competing models.
First order: \(y_{i}=\beta_{0}+\beta_{1} x_{1 i}+\beta_{2} x_{2 i}+\epsilon_{i}\)
Second order: \(y_{i}=\beta_{0}+\beta_{1} x_{1 i}+\beta_{2} x_{2 i} +\beta_{11} x_{1 i}^{2}+\beta_{22} x_{2 i}^{2}+\beta_{12} x_{1 i} x_{2 i}+\epsilon_{i}\)
Use \(R^2 _{adj}\) in your comparison. Test \(H_0 : \beta_{11} = \beta_{22} = \beta_{12} = 0\). In addition, use the C.V. discussed in Exercise 12.40.
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