y = 9.074/(1 + e^(-(x-(5.050))/5.123))
Inital zero points added:0
Inflexion point of curve:1972
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                                                  acceleration counts pred pred_actual velocity y_norm year
                                                  0 0.025 1 0.941 0.687 0.165 1.186 1960
                                                  1 0.023 14 3.225 20.471 0.406 2.863 1968
                                                  2 0.016 6 3.641 32.517 0.426 2.061 1969
                                                  3 0.009 18 4.074 50.801 0.438 3.067 1970
                                                  4 0.000 239 4.515 81.451 0.443 5.584 1971
                                                  5 -0.008 446 4.956 130.446 0.439 6.181 1972
                                                  6 -0.016 528 5.390 205.139 0.427 6.333 1973
                                                  7 -0.022 759 5.808 317.610 0.408 6.678 1974
                                                  8 -0.027 709 6.204 501.688 0.383 6.550 1975
                                                  9 -0.031 728 6.573 740.894 0.354 6.555 1976
                                                  10 -0.033 849 6.911 1066.383 0.322 6.683 1977
                                                  11 -0.033 1024 7.216 1502.693 0.288 6.833 1978
                                                  12 -0.032 1364 7.488 2037.522 0.256 7.087 1979
                                                  13 -0.031 1728 7.727 2572.489 0.224 7.330 1980
                                                  14 -0.028 2073 7.936 3193.337 0.194 7.504 1981
                                                  15 -0.026 2647 8.117 3974.391 0.167 7.710 1982
                                                  16 -0.023 3175 8.272 4864.944 0.143 7.845 1983
                                                  17 -0.020 4209 8.403 5716.006 0.121 8.097 1984
                                                  18 -0.018 4709 8.515 6601.970 0.102 8.177 1985
                                                  19 -0.015 5339 8.609 7535.402 0.086 8.265 1986
                                                  20 -0.013 6423 8.688 8587.595 0.072 8.398 1987
                                                  21 -0.011 7980 8.754 9638.446 0.060 8.565 1988
                                                  22 -0.009 10190 8.809 10624.229 0.050 8.767 1989
                                                  23 -0.008 13795 8.855 11320.539 0.042 9.053 1990
                                                  24 -0.006 16354 8.893 11778.446 0.035 9.221 1991
                                                  25 -0.005 19801 8.925 12250.986 0.029 9.405 1992
                                                  26 -0.005 23737 8.951 12777.656 0.024 9.570 1993
                                                  27 -0.004 27768 8.972 13359.225 0.020 9.704 1994
                                                  28 -0.003 30913 8.990 13905.834 0.016 9.789 1995
                                                  29 -0.003 26420 9.005 14294.857 0.013 9.619 1996
                                                  30 -0.002 18264 9.017 14818.881 0.011 9.226 1997
                                                  31 -0.002 18872 9.027 15481.311 0.009 9.225 1998
                                                  32 -0.001 19913 9.036 16059.187 0.008 9.251 1999
                                                  33 -0.001 20260 9.042 17074.303 0.006 9.213 2000
                                                  34 -0.001 20111 9.048 17887.974 0.005 9.165 2001
                                                  35 -0.001 19892 9.053 18525.858 0.004 9.124 2002
                                                  36 -0.001 21448 9.056 19580.318 0.003 9.148 2003
                                                  37 -0.001 22247 9.060 20708.498 0.003 9.131 2004
                                                  38 -0.000 21856 9.062 21852.341 0.002 9.062 2005
                                                  39 -0.000 20594 9.064 22796.918 0.002 8.963 2006
                                                  40 -0.000 20923 9.066 23661.539 0.002 8.943 2007
                                                  41 -0.000 20368 9.067 24726.165 0.001 8.874 2008
                                                  42 -0.000 19966 9.069 25517.568 0.001 8.823 2009
                                                  43 -0.000 20477 9.070 26504.522 0.001 8.812 2010
                                                  44 -0.000 21724 9.070 27690.842 0.001 8.828 2011
                                                  45 -0.000 23002 9.071 29184.363 0.001 8.833 2012
                                                  46 -0.000 21564 9.072 30338.383 0.000 8.730 2013
                                                  47 -0.000 16997 9.072 24039.351 0.000 8.725 2014
                                                  48 -0.000 2160 9.072 3198.395 0.000 8.680 2015