5.1 In the simple regression model under MLR.1 through MLR.4, we argued that the slope estimator, 1, is consistent for 1. Using 0

5.1 In the simple regression model under MLR.1 through MLR.4, we argued that the slope estimator, ˆ 1, is consistent for 1. Using ˆ 0
y¯  ˆ 1x¯1, show that plim ˆ 0
0. [You need to use the consistency of ˆ 1 and the law of large numbers, along with the fact that 0
E(y)  1E(x1).]