Reconsider the data in the previous problem. The response measurements in the two columns were collected on two different days. Fit a new model yx e x =+ + θθ ε θ 32 1 2 1 to these data, where x1 is the original regressor from Problem 12.8 and x2 is an indicator variable with x2 = 0 if the observation was made on day 1 and x2 = 1 if the observation was made on day 2. Is there any indication that there is a difference between the two days (use θ30 = 0 as the starting value).