The data represents historical exchange rate between Japanese Yen and USD. (a) Provide time-series plot of the data along with its correlogram (i.e. autocorrelation function). Make sure to have date values on the horizontal axis of your time-series plot. Do you think the data are stationary? Explain. (b) Take the first difference of the data. Provide time-series plot of the data along with its correlogram. Do you think the data are stationary now? Explain. (c) List some of the methods you would use to forecast the data in parts (a) and (b)

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DATE EXRATE 1/1/15 80.81399 2/1/15 80.63549 3/1/15 80.47515 4/1/15 81.43748 3/1/13 01.06094 5/1/15 81.68654 6/1/15 80.8122 // 7/1/15 82.3935 62.9999 8/1/15 86.5892 9/1/15 85.31502 ** 10/1/15 83.65014 lala 11/1/15 83.28096 12/1/15 82.88154 1/1/16 82.62545 2/1/16 82.04207 3/1/16 82.96386 Theo 4/1/16 85.08203 5/1/16 87.98003 3/1/10 of 90005 6/1/16 93.51101 alainen 7/1/16 97.65168 to the 8/1/16 99.5085 alala 202 CAC 9/1/16 102.6461 STATED 206.0401 10/1/16 105.9645 salala6 302 000 11/1/16 102.0968 11/1/10 102.0900 104.6563 104.0908 12/1/16 14/1/10 1/1/17 102.7029 ATATE AUT 2/1/17 104.1705 Se Spar 102.09.03 3/1/17 102.6585 105.0774 4/1/17 5/1/17 5/1/17 CH47 102 0405 6/1/17 108.9495 1072216 7/1/17 107.2316 0467 107 AEGE 8/1/17 107.4565 0447 107 5911 9/1/17 107.5811 101/17 106.0 10/1/17 106.8625 11/1/17 107-166 11/1/17 107.166 42/4/43 106 937 12/1/17 106.827 100.001 1/1/18 108.091 akko 112707 2/1/18 112.797 plaka 3/1/18 113.4277 4660 133 134 4/1/18 122.1144 sao song 5/1/18 125.2895 che 6/1/18 124. 1625 sala 7/1/18 124.698 2 622 108.633 8/1/18 126.4142 ok ko 125 405 9/1/18 125.485 10/49 176 8370 10/1/18 126.8379 11/1/12 120.0045 11/1/18 129.9045 13440 120 4764 12/1/18 129.4764 120 154 1/1/19 129.154 akho 126 155 2/1/19 126.155 3/80 336.00 3/1/19 126.0505 4/1/10 129 7754 4/1/19 128.7754 5/40 5/1/19 127.7168 6/1/19 124.1371 7/1/19 120.3463 8/1/19 118.5783 Olho $45.000 9/1/19 115.0295 10/1/19 114.2905 he 11/1/19 110.6184 .com 12/1/19 109.4006 be 1/1/20 106.3002 2/1/20 106,8735 Share to 3/1/20 109.1029 4/1/20 113.8652 5/1/20 121.798 6/1/20 120.6157 7/1/20 118.5572 jared A 8/1/20 118.5623 Grafe.com 9/1/20 115.5956 10/1/20 117.8558 11/1/20 116,4598 12/1/20 118.0379 separen 1/1/21 115.3184 2/1/21 116.3148 3/1/21 118.5605 www..comm *** 4/1/21 118.46 Leonto tan 5/1/21 118.5875 Telema 6/1/21 116.4146 7/1/21 113.3685 8/1/21 111.3491 9/1/21 113.039 10/1/21 115 1776 10/1/21 115.1726 11/1/21 www.com 11/1/21 115.567 12/1/21 147.00 12/1/21 117.0971 1/1/22 116.5463 3/4/22 117 7022 2/1/22 117.7023 2/1/22 119 3579 3/1/22 118.3579 4/1/22 119.0049 5/1/22 117.8094 6/1/22 114.1122 DATE EXRATE 1/1/15 80.81399 2/1/15 80.63549 3/1/15 80.47515 4/1/15 81.43748 3/1/13 01.06094 5/1/15 81.68654 6/1/15 80.8122 // 7/1/15 82.3935 62.9999 8/1/15 86.5892 9/1/15 85.31502 ** 10/1/15 83.65014 lala 11/1/15 83.28096 12/1/15 82.88154 1/1/16 82.62545 2/1/16 82.04207 3/1/16 82.96386 Theo 4/1/16 85.08203 5/1/16 87.98003 3/1/10 of 90005 6/1/16 93.51101 alainen 7/1/16 97.65168 to the 8/1/16 99.5085 alala 202 CAC 9/1/16 102.6461 STATED 206.0401 10/1/16 105.9645 salala6 302 000 11/1/16 102.0968 11/1/10 102.0900 104.6563 104.0908 12/1/16 14/1/10 1/1/17 102.7029 ATATE AUT 2/1/17 104.1705 Se Spar 102.09.03 3/1/17 102.6585 105.0774 4/1/17 5/1/17 5/1/17 CH47 102 0405 6/1/17 108.9495 1072216 7/1/17 107.2316 0467 107 AEGE 8/1/17 107.4565 0447 107 5911 9/1/17 107.5811 101/17 106.0 10/1/17 106.8625 11/1/17 107-166 11/1/17 107.166 42/4/43 106 937 12/1/17 106.827 100.001 1/1/18 108.091 akko 112707 2/1/18 112.797 plaka 3/1/18 113.4277 4660 133 134 4/1/18 122.1144 sao song 5/1/18 125.2895 che 6/1/18 124. 1625 sala 7/1/18 124.698 2 622 108.633 8/1/18 126.4142 ok ko 125 405 9/1/18 125.485 10/49 176 8370 10/1/18 126.8379 11/1/12 120.0045 11/1/18 129.9045 13440 120 4764 12/1/18 129.4764 120 154 1/1/19 129.154 akho 126 155 2/1/19 126.155 3/80 336.00 3/1/19 126.0505 4/1/10 129 7754 4/1/19 128.7754 5/40 5/1/19 127.7168 6/1/19 124.1371 7/1/19 120.3463 8/1/19 118.5783 Olho $45.000 9/1/19 115.0295 10/1/19 114.2905 he 11/1/19 110.6184 .com 12/1/19 109.4006 be 1/1/20 106.3002 2/1/20 106,8735 Share to 3/1/20 109.1029 4/1/20 113.8652 5/1/20 121.798 6/1/20 120.6157 7/1/20 118.5572 jared A 8/1/20 118.5623 Grafe.com 9/1/20 115.5956 10/1/20 117.8558 11/1/20 116,4598 12/1/20 118.0379 separen 1/1/21 115.3184 2/1/21 116.3148 3/1/21 118.5605 www..comm *** 4/1/21 118.46 Leonto tan 5/1/21 118.5875 Telema 6/1/21 116.4146 7/1/21 113.3685 8/1/21 111.3491 9/1/21 113.039 10/1/21 115 1776 10/1/21 115.1726 11/1/21 www.com 11/1/21 115.567 12/1/21 147.00 12/1/21 117.0971 1/1/22 116.5463 3/4/22 117 7022 2/1/22 117.7023 2/1/22 119 3579 3/1/22 118.3579 4/1/22 119.0049 5/1/22 117.8094 6/1/22 114.1122

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A a Timeseries plot of the data along with its correlogram ie autocorrelation function The following ... View the full answer