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Powerball Normal Distrubution 55-5

Topic closed. 23 replies. Last post 11 years ago by Just6ntlc.

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Somerset
United Kingdom
Member #9710
December 17, 2004
184 Posts
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Posted: April 7, 2006, 9:20 pm - IP Logged

Reading a past post about normal distribution or the bell curve as some call it I wanted to post my own two cents worth, however the post was closed so I though I would start my own.

I use this site allot but rarely post so here's my contribution.

PowerBall Normal Distrubution

The above shows the bell curve of the Powerball Lottery, not much use as a picture so here is the data that makes the above curve.

Sum      Times
15    -    1 - Min
16    -    1
17    -    2
18    -    3
19    -    5
20    -    7
21    -    10
22    -    13
23    -    18
24    -    23
25    -    30
26    -    37
27    -    47
28    -    57
29    -    70
30    -    84
31    -    101
32    -    119
33    -    141
34    -    164
35    -    192
36    -    221
37    -    255
38    -    291
39    -    333
40    -    377
41    -    427
42    -    480
43    -    540
44    -    603
45    -    674
46    -    748
47    -    831
48    -    918
49    -    1014
50    -    1115
51    -    1226
52    -    1342
53    -    1469
54    -    1602
55    -    1747
56    -    1898
57    -    2062
58    -    2233
59    -    2418
60    -    2611
61    -    2818
62    -    3034
63    -    3266
64    -    3507
65    -    3765
66    -    4032
67    -    4317
68    -    4612
69    -    4925
70    -    5248
71    -    5590
72    -    5942
73    -    6313
74    -    6694
75    -    7095
76    -    7505
77    -    7935 - Medium
78    -    8374
79    -    8833
80    -    9301
81    -    9788
82    -    10283
83    -    10798
84    -    11320
85    -    11861
86    -    12408
87    -    12974
88    -    13545 - About Average
89    -    14134
90    -    14727
91    -    15337
92    -    15950
93    -    16579
94    -    17209
95    -    17855
96    -    18500
97    -    19159
98    -    19816
99    -    20486
100    -    21152
101    -    21829
102    -    22500
103    -    23181
104    -    23854
105    -    24535
106    -    25205
107    -    25882
108    -    26546
109    -    27214
110    -    27867
111    -    28522
112    -    29159
113    -    29796
114    -    30412
115    -    31026
116    -    31616
117    -    32201
118    -    32760
119    -    33312
120    -    33836
121    -    34350
122    -    34834
123    -    35307
124    -    35748
125    -    36176
126    -    36570
127    -    36950
128    -    37295
129    -    37624
130    -    37917
131    -    38193
132    -    38432
133    -    38653
134    -    38836
135    -    39001
136    -    39127
137    -    39234
138    -    39302
139    -    39351
140    -    39361 - Max
141    -    39351
142    -    39302
143    -    39234
144    -    39127
145    -    39001
146    -    38836
147    -    38653
148    -    38432
149    -    38193
150    -    37917
151    -    37624
152    -    37295
153    -    36950
154    -    36570
155    -    36176
156    -    35748
157    -    35307
158    -    34834
159    -    34350
160    -    33836
161    -    33312
162    -    32760
163    -    32201
164    -    31616
165    -    31026
166    -    30412
167    -    29796
168    -    29159
169    -    28522
170    -    27867
171    -    27214
172    -    26546
173    -    25882
174    -    25205
175    -    24535
176    -    23854
177    -    23181
178    -    22500
179    -    21829
180    -    21152
181    -    20486
182    -    19816
183    -    19159
184    -    18500
185    -    17855
186    -    17209
187    -    16579
188    -    15950
189    -    15337
190    -    14727
191    -    14134
192    -    13545 - About Average
193    -    12974
194    -    12408
195    -    11861
196    -    11320
197    -    10798
198    -    10283
199    -    9788
200    -    9301
201    -    8833
202    -    8374
203    -    7935 - Medium
204    -    7505
205    -    7095
206    -    6694
207    -    6313
208    -    5942
209    -    5590
210    -    5248
211    -    4925
212    -    4612
213    -    4317
214    -    4032
215    -    3765
216    -    3507
217    -    3266
218    -    3034
219    -    2818
220    -    2611
221    -    2418
222    -    2233
223    -    2062
224    -    1898
225    -    1747
226    -    1602
227    -    1469
228    -    1342
229    -    1226
230    -    1115
231    -    1014
232    -    918
233    -    831
234    -    748
235    -    674
236    -    603
237    -    540
238    -    480
239    -    427
240    -    377
241    -    333
242    -    291
243    -    255
244    -    221
245    -    192
246    -    164
247    -    141
248    -    119
249    -    101
250    -    84
251    -    70
252    -    57
253    -    47
254    -    37
255    -    30
256    -    23
257    -    18
258    -    13
259    -    10
260    -    7
261    -    5
262    -    3
263    -    2
264    -    1
265    -    1 - Min

Sum:  Add all the numbers together in a single draw excluding the bonus and get the sum   

Times: The number of times this sum appears in every possible combination

I have marked out a few key values for quick reference in the list above

Thought this might be usefull to someone wanting this data but unable to locate it.

If you want the same for another draw just request it in a post

It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.

    Avatar

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    January 23, 2005
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    Posted: April 7, 2006, 9:50 pm - IP Logged

    If you cut a pizza into 8 slices, 7 of them have 'shrooms and 1 has pepperoni, you would have a distribution where "the odds of getting stuck with 'shrooms is .875" but yet the chance of picking any given slice at random is .125

    The odds of choosing any set of Powerball numbers on the lower 5 is the SAME no matter what they "add up" to. There are vastly more COMBINATIONS that add up to your "medium" than there are odd sets with very low or high add-ups. So yes the actual numbers are that much more likely to be in the "medium" area but there are that many more combinations that add up that way.

    The graphic is nice though and I'm sure there's some way to tie it to an algorithm. 

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      Somerset
      United Kingdom
      Member #9710
      December 17, 2004
      184 Posts
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      Posted: April 7, 2006, 10:53 pm - IP Logged

      Yes I completely agree, the bell shape curve just shows the vast amount of number combinations in a very small area, does not help in any way to pick a winning combination, although it is in there somewhere and is every draw.

      What we need is someone to work out how to divide the curve in to areas of probability, percentages etc so we know what to discard and what to keep, maybe a little pixie may help, a little magic should do the trick.

      It is possible to create an algorithm that could predict every past draw as we know what the numbers were, if someone spent enough time they could produce this formula and then use it against the next draw. Worth thinking about.

       

      Thanks for the comment on the graphic, it is a screen shot from a program I'm writing, I use the curve as a point of reference in many calculations in the program.

      It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

      There for any program can be reduced to 1 line that dont work.

        RJOh's avatar - chipmunk
        mid-Ohio
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        19891 Posts
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        Posted: April 9, 2006, 9:08 pm - IP Logged

        Developer writes:

        "It is possible to create an algorithm that could predict every past draw as we know what the numbers were, if someone spent enough time they could produce this formula and then use it against the next draw. Worth thinking about."

        I've thought about it and I would be satisfied with an algorithm that could predict past drawing in 50 lines 5% of the time.  That would amount to picking 50 lines every drawing and having the winning combination at least five times per year.  I think most players would settle for hitting the jackpot once a year spending $50 per draw.  Winning the jackpot more than once a year could make playing the game boring after a while.

         * you don't need to buy more tickets, just buy a winning ticket * 
           
                     Evil Looking       

          johnph77's avatar - avatar
          CA
          United States
          Member #2987
          December 10, 2003
          832 Posts
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          Posted: April 10, 2006, 5:39 am - IP Logged

          http://www.lotterypost.com/news/132174.htm

          According to Gail Howard in the above thread, one should play toward the center of the probabilities - 2 or 3 odd/even, 2 or 3 high/low, and tend toward the median of the sums. Extrapolating on the example given there for a 5/40 matrix, my best guess would be sums between 105 and 175 for the Powerball 5/55 matrix. I'm not sure how the differing number of odd and even numbers would affect her thinking on this, though. Also, five consecutive numbers would be eliminated from the field of choices.

          She comments on the NJ 5/40 lottery. That game dates back to 1988. In a quick but incomplete run my best estimate is that she would eliminate approximately half the total possibilities using her filters she cites in the above post. I'd be interested/curious in finding out how many draws fell inside and outside her filters using the historical information of the drawn numbers.  Ahhhhh, just what I need right now - another lottery project.....

          gl

          j

          Blessed Saint Leibowitz, keep 'em dreamin' down there..... 

          Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

           =^.^=

            RJOh's avatar - chipmunk
            mid-Ohio
            United States
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            March 24, 2001
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            Posted: April 10, 2006, 11:16 am - IP Logged

            Since the last PowerBall matrix change 32 of the 61 drawings had sums between 130 and 180 and 39 had sums between 105 and 175.

             * you don't need to buy more tickets, just buy a winning ticket * 
               
                         Evil Looking       

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              Somerset
              United Kingdom
              Member #9710
              December 17, 2004
              184 Posts
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              Posted: April 10, 2006, 10:22 pm - IP Logged

              Heres the normal distrubution for the NJ 5/40

              Norm Distrubution NewJersey Cash5

              ID - Sum - Times
              1 - 15 - 1 - Min
              2 - 16 - 1
              3 - 17 - 2
              4 - 18 - 3
              5 - 19 - 5
              6 - 20 - 7
              7 - 21 - 10
              8 - 22 - 13
              9 - 23 - 18
              10 - 24 - 23
              11 - 25 - 30
              12 - 26 - 37
              13 - 27 - 47
              14 - 28 - 57
              15 - 29 - 70
              16 - 30 - 84
              17 - 31 - 101
              18 - 32 - 119
              19 - 33 - 141
              20 - 34 - 164
              21 - 35 - 192
              22 - 36 - 221
              23 - 37 - 255
              24 - 38 - 291
              25 - 39 - 333
              26 - 40 - 377
              27 - 41 - 427
              28 - 42 - 480
              29 - 43 - 540
              30 - 44 - 603
              31 - 45 - 674
              32 - 46 - 748
              33 - 47 - 831
              34 - 48 - 918
              35 - 49 - 1014
              36 - 50 - 1115
              37 - 51 - 1225
              38 - 52 - 1340
              39 - 53 - 1465
              40 - 54 - 1595
              41 - 55 - 1735
              42 - 56 - 1880
              43 - 57 - 2035
              44 - 58 - 2195 - About Med
              45 - 59 - 2365
              46 - 60 - 2540
              47 - 61 - 2724
              48 - 62 - 2913
              49 - 63 - 3111
              50 - 64 - 3313
              51 - 65 - 3524
              52 - 66 - 3738 - About Average
              53 - 67 - 3960
              54 - 68 - 4185
              55 - 69 - 4417
              56 - 70 - 4651
              57 - 71 - 4891
              58 - 72 - 5132
              59 - 73 - 5378
              60 - 74 - 5624
              61 - 75 - 5874
              62 - 76 - 6122
              63 - 77 - 6373
              64 - 78 - 6621
              65 - 79 - 6870
              66 - 80 - 7115
              67 - 81 - 7359
              68 - 82 - 7597
              69 - 83 - 7833
              70 - 84 - 8061
              71 - 85 - 8285
              72 - 86 - 8499
              73 - 87 - 8707
              74 - 88 - 8904
              75 - 89 - 9093
              76 - 90 - 9270
              77 - 91 - 9437
              78 - 92 - 9591
              79 - 93 - 9734
              80 - 94 - 9863
              81 - 95 - 9980
              82 - 96 - 10082
              83 - 97 - 10171
              84 - 98 - 10245
              85 - 99 - 10305
              86 - 100 - 10350
              87 - 101 - 10380
              88 - 102 - 10395 -  Max
              89 - 103 - 10395 -  Max
              90 - 104 - 10380
              91 - 105 - 10350
              92 - 106 - 10305
              93 - 107 - 10245
              94 - 108 - 10171
              95 - 109 - 10082
              96 - 110 - 9980
              97 - 111 - 9863
              98 - 112 - 9734
              99 - 113 - 9591
              100 - 114 - 9437
              101 - 115 - 9270
              102 - 116 - 9093
              103 - 117 - 8904
              104 - 118 - 8707
              105 - 119 - 8499
              106 - 120 - 8285
              107 - 121 - 8061
              108 - 122 - 7833
              109 - 123 - 7597
              110 - 124 - 7359
              111 - 125 - 7115
              112 - 126 - 6870
              113 - 127 - 6621
              114 - 128 - 6373
              115 - 129 - 6122
              116 - 130 - 5874
              117 - 131 - 5624
              118 - 132 - 5378
              119 - 133 - 5132
              120 - 134 - 4891
              121 - 135 - 4651
              122 - 136 - 4417
              123 - 137 - 4185
              124 - 138 - 3960
              125 - 139 - 3738 - About Average
              126 - 140 - 3524
              127 - 141 - 3313
              128 - 142 - 3111
              129 - 143 - 2913
              130 - 144 - 2724
              131 - 145 - 2540
              132 - 146 - 2365
              133 - 147 - 2195 - About Med
              134 - 148 - 2035
              135 - 149 - 1880
              136 - 150 - 1735
              137 - 151 - 1595
              138 - 152 - 1465
              139 - 153 - 1340
              140 - 154 - 1225
              141 - 155 - 1115
              142 - 156 - 1014
              143 - 157 - 918
              144 - 158 - 831
              145 - 159 - 748
              146 - 160 - 674
              147 - 161 - 603
              148 - 162 - 540
              149 - 163 - 480
              150 - 164 - 427
              151 - 165 - 377
              152 - 166 - 333
              153 - 167 - 291
              154 - 168 - 255
              155 - 169 - 221
              156 - 170 - 192
              157 - 171 - 164
              158 - 172 - 141
              159 - 173 - 119
              160 - 174 - 101
              161 - 175 - 84
              162 - 176 - 70
              163 - 177 - 57
              164 - 178 - 47
              165 - 179 - 37
              166 - 180 - 30
              167 - 181 - 23
              168 - 182 - 18
              169 - 183 - 13
              170 - 184 - 10
              171 - 185 - 7
              172 - 186 - 5
              173 - 187 - 3
              174 - 188 - 2
              175 - 189 - 1
              176 - 190 - 1 - Min

              It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

              There for any program can be reduced to 1 line that dont work.

                RJOh's avatar - chipmunk
                mid-Ohio
                United States
                Member #9
                March 24, 2001
                19891 Posts
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                Posted: April 10, 2006, 11:02 pm - IP Logged

                How does the normal distribution compare with the actual distribution?  When looking at the last 61 PB drawings, the actual peek seems to be forming at a point higher than the means.

                 * you don't need to buy more tickets, just buy a winning ticket * 
                   
                             Evil Looking       

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                  Somerset
                  United Kingdom
                  Member #9710
                  December 17, 2004
                  184 Posts
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                  Posted: April 10, 2006, 11:14 pm - IP Logged

                  I am just coding my program to do that, I am having problems mapping the Norm Dist to the draws dist so I can display them in the same chart, the distribution of this draw (NJ) is very strange, I almost say it is not random according to what I have hear, getting almost straight lines on a regression analysis comparing the two.

                  May be a calculation error on my part will check again, will post it when done

                  It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

                  There for any program can be reduced to 1 line that dont work.

                    cmpmcg25's avatar - 8ball
                    Missouri
                    United States
                    Member #23091
                    October 7, 2005
                    262 Posts
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                    Posted: April 10, 2006, 11:22 pm - IP Logged

                    Hello everyone can you give me the showME 5 in Missouri please! Thank You,

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                      Somerset
                      United Kingdom
                      Member #9710
                      December 17, 2004
                      184 Posts
                      Offline
                      Posted: April 10, 2006, 11:32 pm - IP Logged

                      Missouri Show Me 5 normal distrubution

                       

                      ID - Sum - Times
                      1 - 15 - 1  - Min
                      2 - 16 - 1
                      3 - 17 - 2
                      4 - 18 - 3
                      5 - 19 - 5
                      6 - 20 - 7
                      7 - 21 - 10
                      8 - 22 - 13
                      9 - 23 - 18
                      10 - 24 - 23
                      11 - 25 - 30
                      12 - 26 - 37
                      13 - 27 - 47
                      14 - 28 - 57
                      15 - 29 - 70
                      16 - 30 - 84
                      17 - 31 - 101
                      18 - 32 - 119
                      19 - 33 - 141
                      20 - 34 - 164
                      21 - 35 - 192
                      22 - 36 - 221
                      23 - 37 - 255
                      24 - 38 - 291
                      25 - 39 - 333
                      26 - 40 - 377
                      27 - 41 - 427
                      28 - 42 - 480
                      29 - 43 - 540
                      30 - 44 - 603
                      31 - 45 - 674
                      32 - 46 - 748
                      33 - 47 - 831
                      34 - 48 - 918
                      35 - 49 - 1014
                      36 - 50 - 1115
                      37 - 51 - 1226
                      38 - 52 - 1342
                      39 - 53 - 1469
                      40 - 54 - 1602
                      41 - 55 - 1746
                      42 - 56 - 1896
                      43 - 57 - 2058
                      44 - 58 - 2226
                      45 - 59 - 2406
                      46 - 60 - 2593
                      47 - 61 - 2791
                      48 - 62 - 2996
                      49 - 63 - 3213  - About Med
                      50 - 64 - 3436
                      51 - 65 - 3671
                      52 - 66 - 3912
                      53 - 67 - 4164
                      54 - 68 - 4422
                      55 - 69 - 4691
                      56 - 70 - 4965
                      57 - 71 - 5249
                      58 - 72 - 5538  - About Average
                      59 - 73 - 5836
                      60 - 74 - 6138
                      61 - 75 - 6449
                      62 - 76 - 6762
                      63 - 77 - 7083
                      64 - 78 - 7406
                      65 - 79 - 7735
                      66 - 80 - 8065
                      67 - 81 - 8400
                      68 - 82 - 8734
                      69 - 83 - 9072
                      70 - 84 - 9408
                      71 - 85 - 9746
                      72 - 86 - 10080
                      73 - 87 - 10415
                      74 - 88 - 10744
                      75 - 89 - 11072
                      76 - 90 - 11393
                      77 - 91 - 11710
                      78 - 92 - 12018
                      79 - 93 - 12321
                      80 - 94 - 12612
                      81 - 95 - 12896
                      82 - 96 - 13167
                      83 - 97 - 13428
                      84 - 98 - 13675
                      85 - 99 - 13911
                      86 - 100 - 14131
                      87 - 101 - 14338
                      88 - 102 - 14529
                      89 - 103 - 14705
                      90 - 104 - 14864
                      91 - 105 - 15008
                      92 - 106 - 15133
                      93 - 107 - 15242
                      94 - 108 - 15333
                      95 - 109 - 15406
                      96 - 110 - 15461
                      97 - 111 - 15498
                      98 - 112 - 15516  - Max
                      99 - 113 - 15516  - Max
                      100 - 114 - 15498
                      101 - 115 - 15461
                      102 - 116 - 15406
                      103 - 117 - 15333
                      104 - 118 - 15242
                      105 - 119 - 15133
                      106 - 120 - 15008
                      107 - 121 - 14864
                      108 - 122 - 14705
                      109 - 123 - 14529
                      110 - 124 - 14338
                      111 - 125 - 14131
                      112 - 126 - 13911
                      113 - 127 - 13675
                      114 - 128 - 13428
                      115 - 129 - 13167
                      116 - 130 - 12896
                      117 - 131 - 12612
                      118 - 132 - 12321
                      119 - 133 - 12018
                      120 - 134 - 11710
                      121 - 135 - 11393
                      122 - 136 - 11072
                      123 - 137 - 10744
                      124 - 138 - 10415
                      125 - 139 - 10080
                      126 - 140 - 9746
                      127 - 141 - 9408
                      128 - 142 - 9072
                      129 - 143 - 8734
                      130 - 144 - 8400
                      131 - 145 - 8065
                      132 - 146 - 7735
                      133 - 147 - 7406
                      134 - 148 - 7083
                      135 - 149 - 6762
                      136 - 150 - 6449
                      137 - 151 - 6138
                      138 - 152 - 5836
                      139 - 153 - 5538  - About Average
                      140 - 154 - 5249
                      141 - 155 - 4965
                      142 - 156 - 4691
                      143 - 157 - 4422
                      144 - 158 - 4164
                      145 - 159 - 3912
                      146 - 160 - 3671
                      147 - 161 - 3436
                      148 - 162 - 3213  - About Med
                      149 - 163 - 2996
                      150 - 164 - 2791
                      151 - 165 - 2593
                      152 - 166 - 2406
                      153 - 167 - 2226
                      154 - 168 - 2058
                      155 - 169 - 1896
                      156 - 170 - 1746
                      157 - 171 - 1602
                      158 - 172 - 1469
                      159 - 173 - 1342
                      160 - 174 - 1226
                      161 - 175 - 1115
                      162 - 176 - 1014
                      163 - 177 - 918
                      164 - 178 - 831
                      165 - 179 - 748
                      166 - 180 - 674
                      167 - 181 - 603
                      168 - 182 - 540
                      169 - 183 - 480
                      170 - 184 - 427
                      171 - 185 - 377
                      172 - 186 - 333
                      173 - 187 - 291
                      174 - 188 - 255
                      175 - 189 - 221
                      176 - 190 - 192
                      177 - 191 - 164
                      178 - 192 - 141
                      179 - 193 - 119
                      180 - 194 - 101
                      181 - 195 - 84
                      182 - 196 - 70
                      183 - 197 - 57
                      184 - 198 - 47
                      185 - 199 - 37
                      186 - 200 - 30
                      187 - 201 - 23
                      188 - 202 - 18
                      189 - 203 - 13
                      190 - 204 - 10
                      191 - 205 - 7
                      192 - 206 - 5
                      193 - 207 - 3
                      194 - 208 - 2
                      195 - 209 - 1
                      196 - 210 - 1  - Min

                      It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

                      There for any program can be reduced to 1 line that dont work.

                        Developer's avatar - logo2 small.jpg
                        Somerset
                        United Kingdom
                        Member #9710
                        December 17, 2004
                        184 Posts
                        Offline
                        Posted: April 10, 2006, 11:49 pm - IP Logged

                        Missouri-Show-Me-5-Prediction

                        Heres an example of a predition for the Missouri Show Me 5 evening draw using the distrubution table of the draw.

                        The pic above shows the past 30 draws as of 03/21/06

                        The prediction is for 03/22/06 , results were (7 11 12 30 42) bad one to choose

                        The blue line represents the predition line its a LOWESS (Robust locally weighted regression and smoothing scatterplots)

                        Info on LOWESS
                        LOWESS works by assuming a small segment of any curve can be approximated by a straight line. For each data point, LOWESS finds the n nearest points to that data point (n is configurable), and performs weighted linear regression using a tricube weighting function. It then adjust the coordinates of the data point based on the result of the weighted linear regression.

                        We follow the line through to get the next point

                         

                         

                        It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

                        There for any program can be reduced to 1 line that dont work.

                          cmpmcg25's avatar - 8ball
                          Missouri
                          United States
                          Member #23091
                          October 7, 2005
                          262 Posts
                          Offline
                          Posted: April 11, 2006, 12:05 am - IP Logged

                          Thank you Developer can you do Miday to i am very interest in this. Hoping to hit it big one of these days. Always win $2.00 and hit $25.00 twice. Thank you for your help.

                            cmpmcg25's avatar - 8ball
                            Missouri
                            United States
                            Member #23091
                            October 7, 2005
                            262 Posts
                            Offline
                            Posted: April 11, 2006, 12:19 am - IP Logged

                            Numbers i have chose for Miday are 3-7 -11-34-37  Evening are 7-8-16-22-38 

                              johnph77's avatar - avatar
                              CA
                              United States
                              Member #2987
                              December 10, 2003
                              832 Posts
                              Offline
                              Posted: April 11, 2006, 2:31 am - IP Logged

                              Since the last PowerBall matrix change 32 of the 61 drawings had sums between 130 and 180 and 39 had sums between 105 and 175.

                              61 drawings out of 3,478,761 possibilities is probably too small a sample to be drawing any conclusions, but

                              Out of the 3,478,761 possibilities, 1,722,712, or 49.52%, have sums that fall between 130 and 180. 32 of the 61 drawings, or 52.46%, have this characteristic.

                              Out of the 3,478,761 possibilities, 2,404,939, or 69.13%, have sums that fall between 105 and 175. 39 of the 61 drawings, or 63.94%, have this characteristic.

                              Thanks, RJOh, for doing the slogging.

                              gl

                              j

                              Blessed Saint Leibowitz, keep 'em dreamin' down there..... 

                              Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

                               =^.^=