Minitab was used to fit the complete second order model E(y) Icirc sup2 0 Icirc sup2 1x1 Icirc sup2 2x2 Icirc sup2 3x1x2 Icirc sup2 4x21 Icirc sup2 5x22 to n 39 data points The printout is shown below a Is there sufficient evidence to indicate that at least one of the parameters Icirc sup2 1, Icirc...

a To determine if at least one of the parameters is nonzero we test H 0 1 2 3 4 5 0 H a At l ...

Minitab was used to fit the complete second-order model E(y) = Î²0 + Î²1x1 + Î²2x2 +

Question:

Minitab was used to fit the complete second-order model
E(y) = Î²0 + Î²1x1 + Î²2x2 + Î²3x1x2 + Î²4x21 + Î²5x22
to n = 39 data points. The printout is shown below.

a. Is there sufficient evidence to indicate that at least one of the parameters-Î²1, Î²2, Î²3, Î²4, and Î²5 -is nonzero? Test using Î± = .05.
b. Test H0: Î²4 = 0 against Ha: Î²4 ‰ 0. Use Î± = .01.
c. Test H0: Î²5 = 0 against Ha: Î²5 ‰ 0. Use Î± = .01.
d. Use graphs to explain the consequences of the tests in parts b and c.