Question

In: Operations Management

The file P12_16.xlsx contains the daily closing prices of American Express stock for a one-year perio...

The file P12_16.xlsx contains the daily closing prices of American Express stock for a one-year perio


a) Using a span of 3, forecast the price of this stock for the next trading day with the moving average method. How well does this method with span 3 forecast the known observations in this series?

b) Repeat part a with a span of 10.

c) Which of these two spans appears to be more appropriate? Justify your choice.

Day Closing Price
1 88.56
2 88.98
3 88.49
4 88.45
5 87.78
6 86.77
7 87.27
8 87.28
9 86.51
10 86.25
11 87.22
12 87.92
13 88.94
14 88.54
15 87.84
16 87.17
17 87.38
18 85.64
19 87.23
20 86.82
21 86.41
22 84.96
23 85.01
24 86.29
25 86.16
26 84.50
27 86.54
28 85.03
29 84.14
30 81.96
31 81.92
32 80.12
33 79.44
34 81.76
35 83.17
36 84.79
37 83.12
38 84.76
39 85.54
40 85.77
41 87.13
42 87.46
43 87.86
44 89.05
45 89.95
46 90.47
47 91.50
48 90.67
49 91.34
50 91.48
51 90.83
52 90.64
53 90.16
54 89.77
55 89.23
56 89.68
57 89.60
58 89.72
59 89.49
60 90.13
61 90.49
62 90.54
63 91.50
64 91.22
65 92.07
66 90.34
67 90.92
68 91.73
69 92.63
70 92.43
71 91.83
72 92.20
73 90.09
74 89.14
75 87.36
76 89.54
77 92.24
78 91.97
79 92.69
80 92.89
81 93.14
82 93.35
83 93.33
84 93.33
85 92.11
86 92.09
87 89.66
88 87.75
89 89.66
90 90.93
91 89.78
92 88.87
93 88.60
94 86.46
95 85.27
96 85.43
97 86.65
98 87.05
99 83.78
100 83.54
101 82.71
102 81.82
103 81.15
104 81.42
105 80.12
106 81.55
107 83.14
108 83.02
109 84.13
110 84.41
111 84.38
112 85.24
113 85.40
114 79.91
115 77.53
116 78.52
117 79.22
118 77.85
119 79.27
120 79.73
121 80.29
122 81.59
123 82.66
124 81.02
125 81.45
126 81.33
127 80.06
128 80.58
129 79.74
130 79.94
131 78.55
132 78.89
133 80.99
134 80.03
135 80.93
136 80.49
137 81.28
138 80.97
139 82.12
140 81.62
141 80.80
142 79.55
143 77.93
144 77.42
145 77.50
146 77.83
147 78.64
148 79.40
149 79.33
150 78.04
151 78.40
152 78.86
153 79.29
154 78.97
155 79.19
156 79.45
157 80.61
158 77.03
159 76.94
160 76.99
161 78.15
162 77.86
163 77.70
164 77.20
165 77.20
166 76.87
167 77.16
168 77.39
169 77.99
170 77.55
171 77.56
172 78.14
173 78.69
174 79.40
175 78.79
176 79.56
177 80.45
178 79.92
179 79.87
180 81.06
181 80.66
182 80.46
183 80.95
184 79.89
185 79.81
186 79.79
187 79.42
188 79.17
189 79.69
190 80.30
191 79.06
192 79.09
193 78.52
194 78.87
195 79.89
196 80.00
197 79.23
198 78.95
199 79.06
200 80.02
201 80.47
202 79.89
203 80.95
204 81.06
205 80.44
206 79.58
207 79.58
208 77.51
209 77.72
210 78.40
211 78.21
212 77.59
213 77.55
214 75.93
215 76.34
216 77.31
217 78.53
218 78.97
219 78.54
220 78.92
221 79.22
222 79.30
223 78.95
224 78.99
225 77.01
226 75.90
227 74.92
228 75.11
229 75.70
230 76.12
231 76.06
232 75.98
233 75.72
234 75.59
235 75.00
236 79.72
237 81.26
238 81.34
239 81.00
240 80.76
241 80.91
242 81.00
243 81.24
244 80.95
245 78.76
246 77.03
247 74.65
248 73.52
249 75.63
250 76.88
251 76.65
252 76.72
253 74.00

Solutions

Expert Solution

Solution :

Values as per 3 period and 10 period moving averages are as follows :

3 period moving average is better forecast based on MAD, MSE, MAPE.

3 Period Moving average 10 Period Moving average
MAD 1.07 1.68
MSE 2.08 4.50
MAPE 1.30% 2.04%
Day Closing Price 3 Period Moving average Absolute Error Squared Error Percentage Error 10 Period Moving average Absolute Error Squared Error Percentage Error
1 88.56
2 88.98
3 88.49
4 88.45 88.68 0.23 0.05 0%
5 87.78 88.64 0.86 0.74 1%
6 86.77 88.24 1.47 2.16 2%
7 87.27 87.67 0.40 0.16 0%
8 87.28 87.27 0.01 0.00 0%
9 86.51 87.11 0.60 0.36 1%
10 86.25 87.02 0.77 0.59 1%
11 87.22 86.68 0.54 0.29 1% 87.63 0.41 0.17 0%
12 87.92 86.66 1.26 1.59 1% 87.50 0.42 0.18 0%
13 88.94 87.13 1.81 3.28 2% 87.39 1.55 2.39 2%
14 88.54 88.03 0.51 0.26 1% 87.44 1.10 1.21 1%
15 87.84 88.47 0.63 0.39 1% 87.45 0.39 0.15 0%
16 87.17 88.44 1.27 1.61 1% 87.45 0.28 0.08 0%
17 87.38 87.85 0.47 0.22 1% 87.49 0.11 0.01 0%
18 85.64 87.46 1.82 3.32 2% 87.51 1.86 3.48 2%
19 87.23 86.73 0.50 0.25 1% 87.34 0.11 0.01 0%
20 86.82 86.75 0.07 0.00 0% 87.41 0.59 0.35 1%
21 86.41 86.56 0.15 0.02 0% 87.47 1.06 1.12 1%
22 84.96 86.82 1.86 3.46 2% 87.39 2.43 5.90 3%
23 85.01 86.06 1.05 1.11 1% 87.09 2.08 4.34 2%
24 86.29 85.46 0.83 0.69 1% 86.70 0.41 0.17 0%
25 86.16 85.42 0.74 0.55 1% 86.48 0.31 0.10 0%
26 84.5 85.82 1.32 1.74 2% 86.31 1.81 3.27 2%
27 86.54 85.65 0.89 0.79 1% 86.04 0.50 0.25 1%
28 85.03 85.73 0.70 0.49 1% 85.96 0.93 0.86 1%
29 84.14 85.36 1.22 1.48 1% 85.90 1.76 3.08 2%
30 81.96 85.24 3.28 10.74 4% 85.59 3.63 13.15 4%
31 81.92 83.71 1.79 3.20 2% 85.10 3.18 10.11 4%
32 80.12 82.67 2.55 6.52 3% 84.65 4.53 20.53 6%
33 79.44 81.33 1.89 3.58 2% 84.17 4.73 22.34 6%
34 81.76 80.49 1.27 1.60 2% 83.61 1.85 3.42 2%
35 83.17 80.44 2.73 7.45 3% 83.16 0.01 0.00 0%
36 84.79 81.46 3.33 11.11 4% 82.86 1.93 3.73 2%
37 83.12 83.24 0.12 0.01 0% 82.89 0.23 0.05 0%
38 84.76 83.69 1.07 1.14 1% 82.55 2.22 4.91 3%
39 85.54 84.22 1.32 1.73 2% 82.52 3.02 9.13 4%
40 85.77 84.47 1.30 1.68 2% 82.66 3.11 9.68 4%
41 87.13 85.36 1.77 3.14 2% 83.04 4.09 16.74 5%
42 87.46 86.15 1.31 1.72 2% 83.56 3.90 15.21 4%
43 87.86 86.79 1.07 1.15 1% 84.29 3.57 12.72 4%
44 89.05 87.48 1.57 2.45 2% 85.14 3.91 15.32 4%
45 89.95 88.12 1.83 3.34 2% 85.87 4.09 16.69 5%
46 90.47 88.95 1.52 2.30 2% 86.54 3.93 15.42 4%
47 91.5 89.82 1.68 2.81 2% 87.11 4.39 19.26 5%
48 90.67 90.64 0.03 0.00 0% 87.95 2.72 7.40 3%
49 91.34 90.88 0.46 0.21 1% 88.54 2.80 7.84 3%
50 91.48 91.17 0.31 0.10 0% 89.12 2.36 5.57 3%
51 90.83 91.16 0.33 0.11 0% 89.69 1.14 1.30 1%
52 90.64 91.22 0.58 0.33 1% 90.06 0.58 0.34 1%
53 90.16 90.98 0.82 0.68 1% 90.38 0.22 0.05 0%
54 89.77 90.54 0.77 0.60 1% 90.61 0.84 0.70 1%
55 89.23 90.19 0.96 0.92 1% 90.68 1.45 2.11 2%
56 89.68 89.72 0.04 0.00 0% 90.61 0.93 0.86 1%
57 89.6 89.56 0.04 0.00 0% 90.53 0.93 0.86 1%
58 89.72 89.50 0.22 0.05 0% 90.34 0.62 0.38 1%
59 89.49 89.67 0.18 0.03 0% 90.25 0.75 0.57 1%
60 90.13 89.60 0.53 0.28 1% 90.06 0.07 0.00 0%
61 90.49 89.78 0.71 0.50 1% 89.93 0.56 0.32 1%
62 90.54 90.04 0.50 0.25 1% 89.89 0.65 0.42 1%
63 91.5 90.39 1.11 1.24 1% 89.88 1.62 2.62 2%
64 91.22 90.84 0.38 0.14 0% 90.02 1.21 1.45 1%
65 92.07 91.09 0.98 0.97 1% 90.16 1.91 3.65 2%
66 90.34 91.60 1.26 1.58 1% 90.44 0.10 0.01 0%
67 90.92 91.21 0.29 0.08 0% 90.51 0.41 0.17 0%
68 91.73 91.11 0.62 0.38 1% 90.64 1.09 1.18 1%
69 92.63 91.00 1.63 2.67 2% 90.84 1.79 3.19 2%
70 92.43 91.76 0.67 0.45 1% 91.16 1.27 1.62 1%
71 91.83 92.26 0.43 0.19 0% 91.39 0.44 0.20 0%
72 92.2 92.30 0.10 0.01 0% 91.52 0.68 0.46 1%
73 90.09 92.15 2.06 4.26 2% 91.69 1.60 2.55 2%
74 89.14 91.37 2.23 4.99 3% 91.55 2.41 5.79 3%
75 87.36 90.48 3.12 9.71 4% 91.34 3.98 15.82 5%
76 89.54 88.86 0.68 0.46 1% 90.87 1.33 1.76 1%
77 92.24 88.68 3.56 12.67 4% 90.79 1.45 2.11 2%
78 91.97 89.71 2.26 5.09 2% 90.92 1.05 1.10 1%
79 92.69 91.25 1.44 2.07 2% 90.94 1.75 3.05 2%
80 92.89 92.30 0.59 0.35 1% 90.95 1.94 3.77 2%
81 93.14 92.52 0.62 0.39 1% 91.00 2.15 4.60 2%
82 93.35 92.91 0.44 0.20 0% 91.13 2.22 4.95 2%
83 93.33 93.13 0.20 0.04 0% 91.24 2.09 4.36 2%
84 93.33 93.27 0.06 0.00 0% 91.57 1.76 3.12 2%
85 92.11 93.34 1.23 1.50 1% 91.98 0.13 0.02 0%
86 92.09 92.92 0.83 0.69 1% 92.46 0.37 0.14 0%
87 89.66 92.51 2.85 8.12 3% 92.71 3.05 9.33 3%
88 87.75 91.29 3.54 12.51 4% 92.46 4.71 22.15 5%
89 89.66 89.83 0.17 0.03 0% 92.03 2.37 5.64 3%
90 90.93 89.02 1.91 3.64 2% 91.73 0.80 0.64 1%
91 89.78 89.45 0.33 0.11 0% 91.54 1.76 3.08 2%
92 88.87 90.12 1.25 1.57 1% 91.20 2.33 5.42 3%
93 88.6 89.86 1.26 1.59 1% 90.75 2.15 4.63 2%
94 86.46 89.08 2.62 6.88 3% 90.28 3.82 14.58 4%
95 85.27 87.98 2.71 7.33 3% 89.59 4.32 18.67 5%
96 85.43 86.78 1.35 1.81 2% 88.91 3.48 12.09 4%
97 86.65 85.72 0.93 0.86 1% 88.24 1.59 2.53 2%
98 87.05 85.78 1.27 1.60 1% 87.94 0.89 0.79 1%
99 83.78 86.38 2.60 6.74 3% 87.87 4.09 16.73 5%
100 83.54 85.83 2.29 5.23 3% 87.28 3.74 14.00 4%
101 82.71 84.79 2.08 4.33 3% 86.54 3.83 14.69 5%
102 81.82 83.34 1.52 2.32 2% 85.84 4.02 16.13 5%
103 81.15 82.69 1.54 2.37 2% 85.13 3.98 15.85 5%
104 81.42 81.89 0.47 0.22 1% 84.39 2.97 8.80 4%
105 80.12 81.46 1.34 1.80 2% 83.88 3.76 14.15 5%
106 81.55 80.90 0.65 0.43 1% 83.37 1.82 3.30 2%
107 83.14 81.03 2.11 4.45 3% 82.98 0.16 0.03 0%
108 83.02 81.60 1.42 2.01 2% 82.63 0.39 0.15 0%
109 84.13 82.57 1.56 2.43 2% 82.23 1.91 3.63 2%
110 84.41 83.43 0.98 0.96 1% 82.26 2.15 4.62 3%
111 84.38 83.85 0.53 0.28 1% 82.35 2.03 4.13 2%
112 85.24 84.31 0.93 0.87 1% 82.51 2.73 7.43 3%
113 85.4 84.68 0.72 0.52 1% 82.86 2.54 6.47 3%
114 79.91 85.01 5.10 25.98 6% 83.28 3.37 11.36 4%
115 77.53 83.52 5.99 35.84 8% 83.13 5.60 31.36 7%
116 78.52 80.95 2.43 5.89 3% 82.87 4.35 18.93 6%
117 79.22 78.65 0.57 0.32 1% 82.57 3.35 11.21 4%
118 77.85 78.42 0.57 0.33 1% 82.18 4.33 18.71 6%
119 79.27 78.53 0.74 0.55 1% 81.66 2.39 5.71 3%
120 79.73 78.78 0.95 0.90 1% 81.17 1.44 2.08 2%
121 80.29 78.95 1.34 1.80 2% 80.71 0.42 0.17 1%
122 81.59 79.76 1.83 3.34 2% 80.30 1.29 1.67 2%
123 82.66 80.54 2.12 4.51 3% 79.93 2.73 7.45 3%
124 81.02 81.51 0.49 0.24 1% 79.66 1.36 1.86 2%
125 81.45 81.76 0.31 0.09 0% 79.77 1.68 2.83 2%
126 81.33 81.71 0.38 0.14 0% 80.16 1.17 1.37 1%
127 80.06 81.27 1.21 1.46 2% 80.44 0.38 0.15 0%
128 80.58 80.95 0.37 0.13 0% 80.53 0.05 0.00 0%
129 79.74 80.66 0.92 0.84 1% 80.80 1.06 1.12 1%
130 79.94 80.13 0.19 0.03 0% 80.85 0.91 0.82 1%
131 78.55 80.09 1.54 2.36 2% 80.87 2.32 5.36 3%
132 78.89 79.41 0.52 0.27 1% 80.69 1.80 3.25 2%
133 80.99 79.13 1.86 3.47 2% 80.42 0.57 0.32 1%
134 80.03 79.48 0.55 0.31 1% 80.26 0.22 0.05 0%
135 80.93 79.97 0.96 0.92 1% 80.16 0.77 0.60 1%
136 80.49 80.65 0.16 0.03 0% 80.10 0.39 0.15 0%
137 81.28 80.48 0.80 0.63 1% 80.02 1.26 1.59 2%
138 80.97 80.90 0.07 0.00 0% 80.14 0.83 0.69 1%
139 82.12 80.91 1.21 1.46 1% 80.18 1.94 3.76 2%
140 81.62 81.46 0.16 0.03 0% 80.42 1.20 1.44 1%
141 80.8 81.57 0.77 0.59 1% 80.59 0.21 0.05 0%
142 79.55 81.51 1.96 3.85 2% 80.81 1.26 1.59 2%
143 77.93 80.66 2.73 7.43 3% 80.88 2.95 8.69 4%
144 77.42 79.43 2.01 4.03 3% 80.57 3.15 9.94 4%
145 77.5 78.30 0.80 0.64 1% 80.31 2.81 7.90 4%
146 77.83 77.62 0.21 0.05 0% 79.97 2.14 4.57 3%
147 78.64 77.58 1.06 1.12 1% 79.70 1.06 1.13 1%
148 79.4 77.99 1.41 1.99 2% 79.44 0.04 0.00 0%
149 79.33 78.62 0.71 0.50 1% 79.28 0.05 0.00 0%
150 78.04 79.12 1.08 1.17 1% 79.00 0.96 0.93 1%
151 78.4 78.92 0.52 0.27 1% 78.64 0.24 0.06 0%
152 78.86 78.59 0.27 0.07 0% 78.40 0.46 0.21 1%
153 79.29 78.43 0.86 0.73 1% 78.34 0.95 0.91 1%
154 78.97 78.85 0.12 0.01 0% 78.47 0.50 0.25 1%
155 79.19 79.04 0.15 0.02 0% 78.63 0.56 0.32 1%
156 79.45 79.15 0.30 0.09 0% 78.80 0.66 0.43 1%
157 80.61 79.20 1.41 1.98 2% 78.96 1.65 2.73 2%
158 77.03 79.75 2.72 7.40 4% 79.15 2.12 4.51 3%
159 76.94 79.03 2.09 4.37 3% 78.92 1.98 3.91 3%
160 76.99 78.19 1.20 1.45 2% 78.68 1.69 2.85 2%
161 78.15 76.99 1.16 1.35 1% 78.57 0.42 0.18 1%
162 77.86 77.36 0.50 0.25 1% 78.55 0.69 0.47 1%
163 77.7 77.67 0.03 0.00 0% 78.45 0.75 0.56 1%
164 77.2 77.90 0.70 0.49 1% 78.29 1.09 1.19 1%
165 77.2 77.59 0.39 0.15 1% 78.11 0.91 0.83 1%
166 76.87 77.37 0.50 0.25 1% 77.91 1.04 1.09 1%
167 77.16 77.09 0.07 0.00 0% 77.66 0.50 0.25 1%
168 77.39 77.08 0.31 0.10 0% 77.31 0.08 0.01 0%
169 77.99 77.14 0.85 0.72 1% 77.35 0.64 0.41 1%
170 77.55 77.51 0.04 0.00 0% 77.45 0.10 0.01 0%
171 77.56 77.64 0.08 0.01 0% 77.51 0.05 0.00 0%
172 78.14 77.70 0.44 0.19 1% 77.45 0.69 0.48 1%
173 78.69 77.75 0.94 0.88 1% 77.48 1.21 1.47 2%
174 79.4 78.13 1.27 1.61 2% 77.58 1.83 3.33 2%
175 78.79 78.74 0.05 0.00 0% 77.80 1.00 0.99 1%
176 79.56 78.96 0.60 0.36 1% 77.95 1.61 2.58 2%
177 80.45 79.25 1.20 1.44 1% 78.22 2.23 4.96 3%
178 79.92 79.60 0.32 0.10 0% 78.55 1.37 1.87 2%
179 79.87 79.98 0.11 0.01 0% 78.81 1.07 1.13 1%
180 81.06 80.08 0.98 0.96 1% 78.99 2.07 4.27 3%
181 80.66 80.28 0.38 0.14 0% 79.34 1.32 1.73 2%
182 80.46 80.53 0.07 0.00 0% 79.65 0.81 0.65 1%
183 80.95 80.73 0.22 0.05 0% 79.89 1.06 1.13 1%
184 79.89 80.69 0.80 0.64 1% 80.11 0.22 0.05 0%
185 79.81 80.43 0.62 0.39 1% 80.16 0.35 0.12 0%
186 79.79 80.22 0.43 0.18 1% 80.26 0.47 0.22 1%
187 79.42 79.83 0.41 0.17 1% 80.29 0.87 0.75 1%
188 79.17 79.67 0.50 0.25 1% 80.18 1.01 1.03 1%
189 79.69 79.46 0.23 0.05 0% 80.11 0.42 0.17 1%
190 80.3 79.43 0.87 0.76 1% 80.09 0.21 0.04 0%
191 79.06 79.72 0.66 0.44 1% 80.01 0.95 0.91 1%
192 79.09 79.68 0.59 0.35 1% 79.85 0.76 0.58 1%
193 78.52 79.48 0.96 0.93 1% 79.72 1.20 1.43 2%
194 78.87 78.89 0.02 0.00 0% 79.47 0.60 0.36 1%
195 79.89 78.83 1.06 1.13 1% 79.37 0.52 0.27 1%
196 80 79.09 0.91 0.82 1% 79.38 0.62 0.38 1%
197 79.23 79.59 0.36 0.13 0% 79.40 0.17 0.03 0%
198 78.95 79.71 0.76 0.57 1% 79.38 0.43 0.19 1%
199 79.06 79.39 0.33 0.11 0% 79.36 0.30 0.09 0%
200 80.02 79.08 0.94 0.88 1% 79.30 0.72 0.52 1%
201 80.47 79.34 1.13 1.27 1% 79.27 1.20 1.44 1%
202 79.89 79.85 0.04 0.00 0% 79.41 0.48 0.23 1%
203 80.95 80.13 0.82 0.68 1% 79.49 1.46 2.13 2%
204 81.06 80.44 0.62 0.39 1% 79.73 1.33 1.76 2%
205 80.44 80.63 0.19 0.04 0% 79.95 0.49 0.24 1%
206 79.58 80.82 1.24 1.53 2% 80.01 0.43 0.18 1%
207 79.58 80.36 0.78 0.61 1% 79.97 0.39 0.15 0%
208 77.51 79.87 2.36 5.55 3% 80.00 2.49 6.20 3%
209 77.72 78.89 1.17 1.37 2% 79.86 2.14 4.56 3%
210 78.4 78.27 0.13 0.02 0% 79.72 1.32 1.75 2%
211 78.21 77.88 0.33 0.11 0% 79.56 1.35 1.82 2%
212 77.59 78.11 0.52 0.27 1% 79.33 1.74 3.04 2%
213 77.55 78.07 0.52 0.27 1% 79.10 1.55 2.41 2%
214 75.93 77.78 1.85 3.43 2% 78.76 2.83 8.03 4%
215 76.34 77.02 0.68 0.47 1% 78.25 1.91 3.65 3%
216 77.31 76.61 0.70 0.49 1% 77.84 0.53 0.28 1%
217 78.53 76.53 2.00 4.01 3% 77.61 0.92 0.84 1%
218 78.97 77.39 1.58 2.49 2% 77.51 1.46 2.13 2%
219 78.54 78.27 0.27 0.07 0% 77.66 0.89 0.78 1%
220 78.92 78.68 0.24 0.06 0% 77.74 1.18 1.40 1%
221 79.22 78.81 0.41 0.17 1% 77.79 1.43 2.05 2%
222 79.3 78.89 0.41 0.17 1% 77.89 1.41 1.99 2%
223 78.95 79.15 0.20 0.04 0% 78.06 0.89 0.79 1%
224 78.99 79.16 0.17 0.03 0% 78.20 0.79 0.62 1%
225 77.01 79.08 2.07 4.28 3% 78.51 1.50 2.24 2%
226 75.9 78.32 2.42 5.84 3% 78.57 2.67 7.15 4%
227 74.92 77.30 2.38 5.66 3% 78.43 3.51 12.34 5%
228 75.11 75.94 0.83 0.69 1% 78.07 2.96 8.77 4%
229 75.7 75.31 0.39 0.15 1% 77.69 1.99 3.94 3%
230 76.12 75.24 0.88 0.77 1% 77.40 1.28 1.64 2%
231 76.06 75.64 0.42 0.17 1% 77.12 1.06 1.13 1%
232 75.98 75.96 0.02 0.00 0% 76.81 0.83 0.68 1%
233 75.72 76.05 0.33 0.11 0% 76.47 0.75 0.57 1%
234 75.59 75.92 0.33 0.11 0% 76.15 0.56 0.31 1%
235 75 75.76 0.76 0.58 1% 75.81 0.81 0.66 1%
236 79.72 75.44 4.28 18.35 5% 75.61 4.11 16.89 5%
237 81.26 76.77 4.49 20.16 6% 75.99 5.27 27.75 6%
238 81.34 78.66 2.68 7.18 3% 76.63 4.71 22.22 6%
239 81 80.77 0.23 0.05 0% 77.25 3.75 14.07 5%
240 80.76 81.20 0.44 0.19 1% 77.78 2.98 8.89 4%
241 80.91 81.03 0.12 0.02 0% 78.24 2.67 7.11 3%
242 81 80.89 0.11 0.01 0% 78.73 2.27 5.16 3%
243 81.24 80.89 0.35 0.12 0% 79.23 2.01 4.04 2%
244 80.95 81.05 0.10 0.01 0% 79.78 1.17 1.36 1%
245 78.76 81.06 2.30 5.31 3% 80.32 1.56 2.43 2%
246 77.03 80.32 3.29 10.80 4% 80.69 3.66 13.42 5%
247 74.65 78.91 4.26 18.18 6% 80.43 5.77 33.35 8%
248 73.52 76.81 3.29 10.85 4% 79.76 6.24 38.99 8%
249 75.63 75.07 0.56 0.32 1% 78.98 3.35 11.24 4%
250 76.88 74.60 2.28 5.20 3% 78.45 1.57 2.45 2%
251 76.65 75.34 1.31 1.71 2% 78.06 1.41 1.98 2%
252 76.72 76.39 0.33 0.11 0% 77.63 0.91 0.83 1%
253 74 76.75 2.75 7.56 4% 77.20 3.20 10.26 4%

keosha answered 1 year ago
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