3. The estimated regression equation for a model involving two independent variables and 65 observations is:

yhat = 55.17+1.1X₁-0.153X₂

Other statistics produced for analysis include: SSR = 12370.8, SST = 35963.0, S_b1= 0.33, S_b2= 0.20. (16 points)

a.Interpret b₁and b₂in this estimated regression equation

b.Predict y when X₁= 65 and X₂= 70.

c.Compute R-square and Adjusted R-Square.

d.Comment on the goodness of fit of the model.

e.Compute MSR and MSE.

f.Compute F and use it to test whether the overall model is significant using a p-value ( = 0.05).

g.Perform a t test using the critical value approach for the significance of ₁. Use a level of significance of 0.05.

h.Perform a t test using the critical value approach for the significance of ₂. Use a level of significance of 0.05.