question archive Three temperature values have been collected at a site occupied by a GPS receiver during an observing session, at the beginning (epoch 0 min
Three temperature values have been collected at a site occupied by a GPS receiver during an observing session, at the beginning (epoch 0 min
Subject:MathPrice: Bought3
Three temperature values have been collected at a site occupied by a GPS receiver during an observing session, at the beginning (epoch 0 min.), at the middle (epoch 30 min.) and at the end of the session (epoch 60 min.). These values will have to be approximated as a straight line for further use during the GPS data processing:t(tau)=lambda1+lambda2
(a)Show all steps towards finding the solution t(hat) and its associated covariance matrix, forming all matrices and vectors and performing the matrix products and the inversion of the Gram's matrix.
(b)Compute the residuals of the approximation.
(c)Predict the temperature value, and its standard deviation, for epoch 15 minutes.The observation vector is: l= [28.5, 31.7, 46.7]T (Celsius).
Treat the observations as equally weighted(P= I). PS. You must invert a 2 by 2 matrix, which is something simple to do. Nonetheless, if you do not remember how to do it you can use your own hand calculator (some do that, or you can use MATLAB). I am not interested how you inverted it, just in the matrix elements before and after the inversion.
