home / study / math / statistics and probability / statistics and probability questions and answers / Jorge Is Interested In Predicting The Number Of Crimes Based On The Number Of Police Officers ...

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 a 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

3. Suppose that O ~ Unif (0, 27) and V ~ Exp(1/8). Define X1 = VV cos and X2 = VV sin O. Let X = (X1, X2) be a bivariate random vector. (a) Find the distribution of the random vector X. (b) Find a scalar c such that Z = cX follows the standard bivariate normal distribution. (c) Find a lower triangular matrix A and a vector b such that b + AZ follows the bivariate normal distribution N(u, E), where 4 U = E = 9Problem 3: Suppose that x(n) has z-transform X(z) = 1 - az-1 1 - bz-1 with la|