The rainfalls for a six day period for Omarama and Twizel are as follows a = 7, a = 10, a3 = 0, a = 0, as = 2, and ag = 5, t = 19, t = 18, t3 = 0, t4 = 1, ts=5, and to = 5, where a, and t, are the recorded rainfalls in Omarama and Twizel respectively on day i. The data are put into six vectors, where the first and second components of each vector are the days' rainfalls for Omarama and Twizel, viz. B - (%) for i=1,...,6 (a) Calculate the mean vector and variance matrix for the six data points i (b) What is the covariance between the first and second components of the ? (c) What does the sign of the covariance you identified in part (b) tell you about rainfall in the two towns? == (d) If the covariance had the opposite sign what would that tell you about rainfall in the two towns?