Regression analysis was applied between the dependent variable Y and two independent variables X₁ and X₂. The following estimated regression equation was obtained with 63 observations:

Y= 5 + 5 X₁ - 5 X₂S_b1 = 5SSR = 5

S_b2 = 5SSE = 15

For a level of significance of 10%:

a) Test for a significant relationship among X₁, X₂ and Y (model significance).

b) Is X₁ significant?

c) Is X₂ significant?

d) Compute the coefficient of determination R_A².

e) Can you predict the value of Y when X₁ = 1 and X₂ = 1?

f) Would you change all your previous answers, including question e, for a lower level of significance? Why?

25 POINTS