Suppose we are studying a machine by making measurements of its temperature T, running speed S, and power consumption P. Each measurement gives a vector () T S R. P According the the machine specs, these quantities should be related by T=2P and S = 3P (in the units that are being used). Any deviation from these relations is the result of measurement noise (which can occur in all three measurements). 2.1 If a measurement deviates from the above relations, explain how you would estimate the true value and the error in the measurement. 2.2 Suppose a measurement produces the result (T, S, P) = (100, 110, 40). What is your estimate for the true values?