Show that the sample standard deviation of the linear transformation Yi = a + bXi , i = 1, . , n is related to the sample standard deviation of X1, ….

Show that the sample standard deviation of the linear transformation Yi = a + bXi , i = 1, . . . , n is related to the sample standard deviation of X1, . . . , Xn through the following equation: sY = |b|sX.