Suppose you fit the model y = 0 + 1x1 + 2x21 + 3x2 +4x22 +5x1x22 +

Question:

Suppose you fit the model
y = β0 + β1x1 + β2x21 + β3x2 +β4x22 +β5x1x22 + ε
to n = 25 data points with the following results:
a. Is there sufficient evidence to conclude that at least one of the parameters β1,β2,β3 or β4 is nonzero? Test using a = .05.
b. Test H0:β1 = 0 against Ha : β1 < 0. Use α = .05.
c. Test H0:β2 = 0 against Ha : β2 > 0. Use α = .05.
d. Test H0:β3 = 0 against Ha : β3 ≠ 0. Use α = .05.