Dam ratings v runner ratings

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   This is an analysis of 68,922 runners where the runners are rated and their dams are rated, the dams shown in five ratings point bands e.g. 1-5; 6-10; 11-15.The average ratings of the runners produced by those dams is shown, and the runners further analysed by count into ratings bands e.g. dams rated 101-105 produced 5 runners rated 1-5; 5 runners rated 6-10; 7 runners rated 11-15.
There is an error that I have not corrrected. I gave about 450 dams a rating of 10 when they had no rating (see line two).  These were dams who ran badly but were given no rating and I guessed at 10.

I think the data shows that there is a definite link between dam ratings and the ratings of runners produced by them, but the connection is weak, weaker than many believe.

  dam_rate
  dams
  runr_avg
  01_05
  06_10
  11_15
  16_20
  21_25
  26_30
  31_35
  36_40
  41_45
  46_50
  51_55
  56_60
  61_65
  66_70
  71_75
  76_80
  81_85
  86_90
  91_95
  96_100
  101_105
  106_110
  111_115
  116_120
  121_125
  126_130
  131_135
  136_140
  141_145
  146_150

  1-5
  62
  68.7
  0
  0
  0
  0
  0
  2
  1
  0
  3
  3
  6
  8
  4
  8
  6
  5
  5
  5
  1
  1
  0
  3
  1
  0
  0
  0
  0
  0
  0
  0

  6-10
  526
  75.2
  1
  0
  0
  1
  4
  5
  2
  10
  17
  21
  34
  49
  48
  47
  42
  50
  36
  34
  24
  23
  23
  17
  11
  9
  12
  5
  1
  0
  0
  0

  11-15
  50
  66.3
  0
  1
  0
  0
  1
  0
  1
  0
  2
  4
  5
  3
  5
  6
  7
  7
  1
  2
  1
  2
  1
  1
  0
  0
  0
  0
  0
  0
  0
  0

  16-20
  79
  63.1
  0
  0
  1
  2
  0
  1
  0
  3
  6
  8
  7
  8
  9
  9
  6
  5
  3
  5
  1
  1
  3
  0
  1
  0
  0
  0
  0
  0
  0
  0

  21-25
  128
  66.6
  1
  1
  0
  1
  0
  3
  3
  2
  8
  7
  11
  9
  16
  12
  19
  10
  6
  3
  3
  2
  2
  5
  2
  2
  0
  0
  0
  0
  0
  0

  26-30
  221
  66.3
  0
  0
  4
  3
  1
  3
  6
  8
  13
  16
  17
  20
  22
  19
  17
  16
  15
  12
  4
  9
  1
  7
  5
  1
  1
  1
  0
  0
  0
  0

  31-35
  307
  67.0
  1
  0
  1
  3
  3
  5
  8
  13
  14
  23
  22
  23
  30
  36
  26
  26
  17
  10
  11
  11
  11
  6
  3
  2
  1
  1
  0
  0
  0
  0

  36-40
  589
  64.8
  3
  0
  3
  6
  8
  8
  9
  14
  36
  49
  65
  62
  49
  63
  44
  40
  39
  26
  25
  15
  7
  7
  5
  5
  1
  0
  0
  0
  0
  0

  41-45
  864
  65.6
  1
  1
  2
  2
  8
  22
  17
  30
  53
  70
  84
  89
  76
  83
  60
  79
  37
  46
  33
  21
  15
  13
  13
  6
  2
  0
  1
  0
  0
  0

  46-50
  1,451
  67.8
  4
  0
  3
  9
  12
  28
  25
  53
  60
  108
  133
  129
  133
  143
  117
  98
  90
  79
  60
  60
  35
  36
  16
  13
  5
  2
  0
  0
  0
  0

  51-55
  2,260
  69.6
  7
  12
  5
  12
  10
  25
  24
  60
  108
  151
  175
  199
  202
  217
  193
  171
  162
  133
  102
  95
  85
  58
  34
  13
  6
  0
  0
  1
  0
  0

  56-60
  3,213
  70.1
  6
  2
  8
  19
  15
  40
  42
  74
  118
  207
  247
  317
  293
  316
  278
  261
  225
  203
  154
  126
  101
  71
  42
  35
  9
  0
  4
  0
  0
  0

  61-65
  4,176
  70.8
  7
  8
  9
  19
  12
  44
  49
  105
  143
  231
  323
  391
  439
  424
  370
  362
  290
  209
  176
  182
  134
  103
  75
  45
  14
  11
  0
  1
  0
  0

  66-70
  5,262
  71.7
  3
  16
  8
  22
  29
  46
  54
  112
  180
  317
  400
  461
  480
  494
  493
  461
  341
  326
  244
  225
  220
  140
  104
  56
  23
  4
  2
  1
  0
  0

  71-75
  5,818
  72.9
  7
  12
  15
  16
  20
  46
  74
  102
  173
  333
  402
  471
  517
  570
  554
  536
  401
  375
  273
  293
  234
  161
  117
  76
  27
  11
  2
  0
  0
  0

  76-80
  6,038
  74.4
  8
  22
  12
  12
  21
  34
  57
  110
  177
  287
  348
  466
  515
  602
  597
  526
  479
  391
  317
  299
  260
  210
  152
  82
  38
  12
  4
  0
  0
  0

  81-85
  5,681
  76.0
  3
  15
  11
  12
  19
  39
  46
  78
  154
  267
  330
  391
  435
  479
  530
  573
  462
  395
  322
  313
  285
  236
  128
  102
  30
  20
  5
  1
  0
  0

  86-90
  5,417
  77.7
  4
  11
  10
  13
  23
  24
  46
  61
  120
  202
  256
  350
  424
  519
  510
  485
  456
  405
  346
  319
  260
  219
  158
  119
  44
  19
  12
  2
  0
  0

  91-95
  4,880
  78.6
  1
  16
  6
  7
  10
  18
  23
  56
  99
  170
  235
  320
  338
  467
  475
  456
  391
  367
  304
  284
  298
  238
  144
  86
  39
  24
  6
  2
  0
  0

  96-100
  5,045
  80.6
  3
  17
  7
  11
  15
  12
  19
  38
  84
  168
  191
  285
  322
  385
  460
  506
  439
  411
  372
  382
  311
  245
  182
  105
  47
  17
  9
  2
  0
  0

  101-105
  4,838
  83.2
  5
  5
  7
  8
  8
  13
  18
  23
  71
  119
  163
  241
  277
  383
  409
  455
  423
  388
  394
  338
  316
  296
  212
  148
  76
  29
  9
  4
  0
  0

  106-110
  4,496
  84.6
  3
  8
  3
  7
  8
  13
  19
  35
  54
  93
  148
  165
  246
  328
  354
  413
  411
  384
  328
  328
  355
  302
  213
  155
  75
  36
  8
  3
  0
  1

  111-115
  3,267
  86.7
  0
  12
  5
  8
  2
  9
  16
  27
  31
  52
  83
  123
  167
  192
  245
  308
  261
  296
  229
  228
  258
  235
  201
  144
  84
  36
  13
  2
  0
  0

  116-120
  2,352
  88.7
  2
  7
  1
  7
  2
  6
  9
  16
  28
  33
  56
  74
  94
  135
  170
  202
  206
  171
  186
  167
  181
  174
  157
  133
  69
  41
  18
  7
  0
  0

  121-125
  1,238
  91.8
  0
  6
  1
  0
  2
  1
  4
  6
  11
  12
  19
  37
  50
  77
  89
  93
  97
  93
  71
  83
  97
  84
  84
  96
  56
  36
  26
  7
  0
  0

  126-130
  433
  93.1
  0
  0
  0
  0
  1
  0
  2
  6
  2
  6
  6
  11
  17
  16
  31
  38
  38
  34
  17
  32
  26
  42
  24
  30
  25
  15
  9
  5
  0
  0

  131-135
  181
  92.4
  0
  0
  0
  0
  1
  0
  0
  0
  0
  4
  4
  6
  12
  5
  14
  10
  12
  11
  10
  12
  22
  19
  13
  11
  6
  6
  2
  1
  0
  0

  136-140
  50
  91.8
  0
  0
  0
  0
  1
  0
  1
  0
  0
  0
  1
  1
  0
  5
  3
  2
  7
  2
  2
  6
  3
  6
  3
  1
  4
  2
  0
  0
  0
  0

  68,922

  70
  172
  122
  200
  236
  447
  575
  1,042
  1,765
  2,961
  3,771
  4,709
  5,220
  6,040
  6,119
  6,194
  5,350
  4,816
  4,010
  3,857
  3,544
  2,934
  2,100
  1,475
  694
  328
  131
  39
  0
  1