In: Operations Management
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 |
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% |