Solution Found!
Suppose you fit the quadratic modelE(y) = ?0 + ?1x +
Chapter 12, Problem 51E(choose chapter or problem)
Suppose you fit the quadratic model
\(E(y)=\beta 0+\beta 1 x+\beta 2 \times 2\)
to a set of n = 20 data points and found \(R^2\) =.91, \(SS_yy\) =29.94, and SSE = 2.63.
a. Is there sufficient evidence to indicate that the model contributes information for predicting y? Test using \(\alpha\) =.05.
b. What null and alternative hypotheses would you test to determine whether upward curvature exists?
c. What null and alternative hypotheses would you test to determine whether downward curvature exists?
Questions & Answers
QUESTION:
Suppose you fit the quadratic model
\(E(y)=\beta 0+\beta 1 x+\beta 2 \times 2\)
to a set of n = 20 data points and found \(R^2\) =.91, \(SS_yy\) =29.94, and SSE = 2.63.
a. Is there sufficient evidence to indicate that the model contributes information for predicting y? Test using \(\alpha\) =.05.
b. What null and alternative hypotheses would you test to determine whether upward curvature exists?
c. What null and alternative hypotheses would you test to determine whether downward curvature exists?
ANSWER:Step 1 of 4
a) A better method is to conduct a test of hypothesis involving all the 
(except 
The elements of the global test of the model follow:
