The mean as a \"least squares\" estimate Suppose we play the following guessing game. You pick a number from the list 3:1, 3:2, . . . , mm and ask me to guess what it is. My strategy is to guess that the value is some constant e no matter what you pick. Thus for every 1' in the range 1 through 11, the amount of error that I make with my strategy is :12;- 0. Dene the mean squared error of my strategy to he 1 71 msec = E Zt, c)2. i=1 Show that the value of c that minimizes msec is c = p, and that mse'u = 02