III Analytical 5. Figure below shows four correlograms. Select the appropriate process (AR, MA, WN, Seasons) and the associated lag order in the correlogram presented in each case: Autocorrelation Partial Correlation (a) Autocorrelation Partial Correlation O AC PAC O-Stat Prob 1 0.073 0.073 0.7030 0.402 2 0.015 0.010 0.7328 0.593 3-0047-0049 1.0293 0.794 4 0.057 0.065 1.4700 0.832 5 0.047 0.040 1.7688 0.880 6-0.032 -0.043 1.9049 0.928 7-0062 -0.052 24311 0932 8 -0.063 -0.054 2.9870 0.935 9-0.002 -0.001 2.9878 0.965 10 -0.006 -0.007 2.9921 0.982 11 0.003 0.008 2.9931 0.991 12 0201 0216 8.8103 0.719 AC PAC Q-Stat Prob 1 0.345 0.346 15.645 0.000 2 0.691 0.649 78.713 0.000 3 0.240 -0.133 86.403 0.000 4 0.414 -0.099 109.43 0.000 5 0.173 0.058 113.49 0.000 6 0.256 0.018 122.42 0.000 7 0.118 -0.025 124.33 0.000 8 0.110 -0.097 126.02 0.000 9 0.054 -0.005 126.43 0.000 10 0.003 -0.047 126.43 0.000 11 -0.061 -0.138 126.97 0.000 12 -0.038 0.084 127.18 0.000 Autocorrelation Partial Correlation Autocorrelation Partial Correlation (d) (b) AC PAC G-Stat Prob 1 0.949 0.949 118.05 0.000 2 0.877 -0.244 219.50 0.000 3 0.795 -0.100 303.65 0.000 4 0.707 -0.070 370.75 0.000 0.617 -0.066 422.20 0.000 5 6 0.526 -0.047 459.91 0.000 7 0.437 -0.031 486.23 0.000 8 0.351 -0.049 503.32 0.000 9 0.258 -0.151 512.62 0.000 10 0.163 -0.071 515.36 0.000 11 0.073 0.010 517.12 0.000 12 -0.005 0.016 517.13 0.000 AC PAC Q-Stat Prob 1 0.982 0.982 504.86 0.000 2 0.973 0.218 1000.8 0.000 3 0.968 0.201 1493.1 0.000 4 0.960 -0.021 1978.1 0.000 5 0.953 0.008 2456.4 0.000 6 0.946 0.028 2929.4 0.000 7 0.940 0.003 3396.7 0.000 8 0.933 0.009 3858.2 0.000 9 0.927 0.015 4314.8 0.000 10 0.919 -0.054 4764.4 0.000 11 0.912 0.015 5208.3 0.000 12 0.912 0.202 5653.1 0.000 13 0.896 0417 60826 0.000 14 0.885 0.061 6503.3 0.000