consider the following systems of equations

theou/courses/28281/quizzes/99067/take Regression 1. Regression Analysis: Concession1000 versus Attendee100 N=24 Model Summary 5 R-sq R-sqladj) R-sq(pred) 57.4275 0.05% 0.00% 0.00% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 231.7 41.6 5.57 0.000 Attendee100 0.15 1.49 0.10 0.921 1.00 Durbin-Watson Statistic Durbin-Watson Statistic = 0.178614 The manager of a concert venue wants to better understand the relationship between his concession revenue Y=Concess1000 and the number attending the concerts in 100's (Attendee 100) resulting in Regression 1 (very low adj R2). What might the problem be with this time series regression? O VIF - 1 indicates that multicollinearity is likely the problem. The high value of the Durbin Watson indicates that autocorrelation is not likely to be a problem The low value of the Durbin Watson Statistic indicates auto correlation is likely a problem The data observations on attendees are clearly mismeasured as suggested by the low adj. R2. e e W 9a) Give the global error of the following methods. 1) Milne's Method 2) 4th order Runge-kutta 3) Runge-kutta - Fehlberg 4 ) Adams - moulton b) How many new function evaluations are needed over each step in the following. 1) Euler's Method 2) modified Euler with 2 corrections per Step. 3)ath order Runge-Levita a ) 5th onder Runge- kutta 15) milne's method with one Comaction.Consider the process of birth and death with three possible states (0, 1, and 2), whose respective probabilities steady state are P 0, P 1 and P 2. The birth and death rates are summarized in the following table: State birth rate death rate 0 4 0 1 2 4 2 0 6 a) Build the rate diagram of this birth and death process b) Develop the balance equations. c) Solve the equations to find P 0, P 1 and P 2 d) Use the general formulas of the birth and death process to calculate P 0, P 1 and P 2. Also calculate L and W.Q13 (1 mark). For liner system , the following expression is WRONG. (a) If is strictly diagonally dominant, then Jacobi method converged. (b) If is strictly diagonally dominant, then Gauss- Seidel method converged. (c) If Jacobi method converged, then Gauss-Seidel method converged. (d) If Jacobi method converged, then Gauss-Seidel method may not converged.[4] Consider the following system of equations: 6r 2y + 10 2x + 12 (1) I + 2y 5 with the exact solution r = (1. 2.0)T. (a) Write down the Jacobi method corresponding (specifically) to this system. (b) Repeat part (a) for the Gauss-Seidel method. (c) Prove that the Jacobi and Gauss-Seidel iterations converge for this system