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Question: Jorge is interested in predicting the number of crimes based on the number of police officers in ...

Jorge is interested in predicting the number of crimes based on the number of police officers in a region. Summary statistics for the bivariate data for 12 regions are below. Figure out which variable is X and which variable is Y, create regression equation based on these data and then use it to predict. Mean of X: 100

Mean of Y: 20

Sum of (Xi-X)2 : 60

Sum of (Xi-X)(Yi-Y) : 30

Sum of (Yi-Y)2 : 90

Question:What is the predicted number of crime cases for a region with 90 police officers? A. -15B. -5C. 5 D. 15

State-space equation of a linear autonomous system are given below -5/3 4/3 a x ( t ) = - 1/ 3 0 7/3 O - 2 a ) find the eat state transition matrix of system by the Lapalace transform b ) find the At state transition matrix of system with the Cayley - Hamilton Theorem ( ) find the efit state transition matrix of system using eigenvectorsA Y = Ar 4 By 4 0x 1 - Applying the state space theories to determine the transition matrix & this system. show steps in detail