Question: The second question to the previous question posted is: Apply Holts method to this data set and use solver to find the values of alpha
The second question to the previous question posted is: Apply Holts method to this data set and use solver to find the values of alpha and beta that minimize the MSE between the actual and predicted CPI values. What is the MSE using this technique? What is the forecasted CPI Value for November 205 and November 2006 using this technique? Please show how the formula is calculated.
| Year | Month | Time period | CPI |
| 1991 | 1 | 1 | 134.6 |
| 2 | 2 | 134.8 | |
| 3 | 3 | 135.0 | |
| 4 | 4 | 135.2 | |
| 5 | 5 | 135.6 | |
| 6 | 6 | 136.0 | |
| 7 | 7 | 136.2 | |
| 8 | 8 | 136.6 | |
| 9 | 9 | 137.2 | |
| 10 | 10 | 137.4 | |
| 11 | 11 | 137.8 | |
| 12 | 12 | 137.9 | |
| 1992 | 1 | 13 | 138.1 |
| 2 | 14 | 138.6 | |
| 3 | 15 | 139.3 | |
| 4 | 16 | 139.5 | |
| 5 | 17 | 139.7 | |
| 6 | 18 | 140.2 | |
| 7 | 19 | 140.5 | |
| 8 | 20 | 140.9 | |
| 9 | 21 | 141.3 | |
| 10 | 22 | 141.8 | |
| 11 | 23 | 142.0 | |
| 12 | 24 | 141.9 | |
| 1993 | 1 | 25 | 142.6 |
| 2 | 26 | 143.1 | |
| 3 | 27 | 143.6 | |
| 4 | 28 | 144.0 | |
| 5 | 29 | 144.2 | |
| 6 | 30 | 144.4 | |
| 7 | 31 | 144.4 | |
| 8 | 32 | 144.8 | |
| 9 | 33 | 145.1 | |
| 10 | 34 | 145.7 | |
| 11 | 35 | 145.8 | |
| 12 | 36 | 145.8 | |
| 1994 | 1 | 37 | 146.2 |
| 2 | 38 | 146.7 | |
| 3 | 39 | 147.2 | |
| 4 | 40 | 147.4 | |
| 5 | 41 | 147.5 | |
| 6 | 42 | 148.0 | |
| 7 | 43 | 148.4 | |
| 8 | 44 | 149.0 | |
| 9 | 45 | 149.4 | |
| 10 | 46 | 149.5 | |
| 11 | 47 | 149.7 | |
| 12 | 48 | 149.7 | |
| 1995 | 1 | 49 | 150.3 |
| 2 | 50 | 150.9 | |
| 3 | 51 | 151.4 | |
| 4 | 52 | 151.9 | |
| 5 | 53 | 152.2 | |
| 6 | 54 | 152.5 | |
| 7 | 55 | 152.5 | |
| 8 | 56 | 152.9 | |
| 9 | 57 | 153.2 | |
| 10 | 58 | 153.7 | |
| 11 | 59 | 153.6 | |
| 12 | 60 | 153.5 | |
| 1996 | 1 | 61 | 154.4 |
| 2 | 62 | 154.9 | |
| 3 | 63 | 155.7 | |
| 4 | 64 | 156.3 | |
| 5 | 65 | 156.6 | |
| 6 | 66 | 156.7 | |
| 7 | 67 | 157.0 | |
| 8 | 68 | 157.3 | |
| 9 | 69 | 157.8 | |
| 10 | 70 | 158.3 | |
| 11 | 71 | 158.6 | |
| 12 | 72 | 158.6 | |
| 1997 | 1 | 73 | 159.1 |
| 2 | 74 | 159.6 | |
| 3 | 75 | 160.0 | |
| 4 | 76 | 160.2 | |
| 5 | 77 | 160.1 | |
| 6 | 78 | 160.3 | |
| 7 | 79 | 160.5 | |
| 8 | 80 | 160.8 | |
| 9 | 81 | 161.2 | |
| 10 | 82 | 161.6 | |
| 11 | 83 | 161.5 | |
| 12 | 84 | 161.3 | |
| 1998 | 1 | 85 | 161.6 |
| 2 | 86 | 161.9 | |
| 3 | 87 | 162.2 | |
| 4 | 88 | 162.5 | |
| 5 | 89 | 162.8 | |
| 6 | 90 | 163.0 | |
| 7 | 91 | 163.2 | |
| 8 | 92 | 163.4 | |
| 9 | 93 | 163.6 | |
| 10 | 94 | 164.0 | |
| 11 | 95 | 164.0 | |
| 12 | 96 | 163.9 | |
| 1999 | 1 | 97 | 164.3 |
| 2 | 98 | 164.5 | |
| 3 | 99 | 165.0 | |
| 4 | 100 | 166.2 | |
| 5 | 101 | 166.2 | |
| 6 | 102 | 166.2 | |
| 7 | 103 | 166.7 | |
| 8 | 104 | 167.1 | |
| 9 | 105 | 167.9 | |
| 10 | 106 | 168.2 | |
| 11 | 107 | 168.3 | |
| 12 | 108 | 168.3 | |
| 2000 | 1 | 109 | 166.6 |
| 2 | 110 | 168.8 | |
| 3 | 111 | 169.8 | |
| 4 | 112 | 171.2 | |
| 5 | 113 | 171.3 | |
| 6 | 114 | 171.5 | |
| 7 | 115 | 172.4 | |
| 8 | 116 | 172.8 | |
| 9 | 117 | 173.7 | |
| 10 | 118 | 174.0 | |
| 11 | 119 | 174.1 | |
| 12 | 120 | 174.0 | |
| 2001 | 1 | 121 | 175.1 |
| 2 | 122 | 175.8 | |
| 3 | 123 | 176.2 | |
| 4 | 124 | 176.9 | |
| 5 | 125 | 177.7 | |
| 6 | 126 | 178.0 | |
| 7 | 127 | 177.5 | |
| 8 | 128 | 177.5 | |
| 9 | 129 | 178.3 | |
| 10 | 130 | 177.7 | |
| 11 | 131 | 177.4 | |
| 12 | 132 | 176.7 | |
| 2002 | 1 | 133 | 177.1 |
| 2 | 134 | 177.8 | |
| 3 | 135 | 178.8 | |
| 4 | 136 | 179.8 | |
| 5 | 137 | 179.8 | |
| 6 | 138 | 179.9 | |
| 7 | 139 | 180.1 | |
| 8 | 140 | 180.7 | |
| 9 | 141 | 181.0 | |
| 10 | 142 | 181.3 | |
| 11 | 143 | 181.3 | |
| 12 | 144 | 180.9 | |
| 2003 | 1 | 145 | 181.7 |
| 2 | 146 | 183.1 | |
| 3 | 147 | 184.2 | |
| 4 | 148 | 183.8 | |
| 5 | 149 | 183.5 | |
| 6 | 150 | 183.7 | |
| 7 | 151 | 183.9 | |
| 8 | 152 | 184.6 | |
| 9 | 153 | 185.2 | |
| 10 | 154 | 185.0 | |
| 11 | 155 | 184.5 | |
| 12 | 156 | 184.3 | |
| 2004 | 1 | 157 | 185.2 |
| 2 | 158 | 186.2 | |
| 3 | 159 | 187.4 | |
| 4 | 160 | 188.0 | |
| 5 | 161 | 189.1 | |
| 6 | 162 | 189.7 | |
| 7 | 163 | 189.4 | |
| 8 | 164 | 189.5 | |
| 9 | 165 | 189.9 | |
| 10 | 166 | 190.9 | |
| 11 | 167 | 191.0 | |
| 12 | 168 | 190.3 | |
| 2005 | 1 | 169 | 190.7 |
| 2 | 170 | 191.8 | |
| 3 | 171 | 193.3 | |
| 4 | 172 | 194.6 | |
| 5 | 173 | 194.4 | |
| 6 | 174 | 194.5 | |
| 7 | 175 | 195.4 | |
| 8 | 176 | 196.4 | |
| 9 | 177 | 198.8 | |
| 10 | 178 | 193.2 | |
| 11 | 179 | ||
| 12 | 180 |
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