Project Title: Dependence of the Total market worth of Bitcoin on the opening, closing, highest and lowest prices of Bitcoin on a day

NAME: Adithya Nataraj G

EMAIL: adithyanataraj98@gmail.com

COLLEGE / COMPANY: NIT Trichy

1. Introduction

This year saw a phenomenal increase in popularity for cryptocurrency - from the skyrocketing valuation of Bitcoin, to the rise of mining farms around the world.

2. OVerview

We will be analysing the various trends of Bitcoin on a particular day. The total market value, the opening price, the highest price, the lowest price, the closing price and the volume of Bitcoin traded on a day will be analyzed using the various tools offered by RStudio.

3. Data

The data for this analysis comes from the website Kaggle, a free forum where data is shared publically. The URL of the dataset is : https://www.kaggle.com/jessevent/all-crypto-currencies Further, the data of the Bitcoin trends is from the dates 28-04-2013 to 18-12-2017.

4. Legend

date - The date for that trade

open - The amount in US Dollars that the day started at

high - The highest amount it got to in US dollars that day

low - The lowest amount it got to in US dollars that day

close - The amount in US dollars that the day finished at

market - The total amount of market capital (combined worth) in US dollars

volume - The value in US dollars of how many Bitcoins were exchanged that day in the market

Summary of the dataset

summary(btc.df)
##  symbol             date           open              high         
##  BTC:1696   01-01-2014:   1   Min.   :   68.5   Min.   :   74.56  
##             01-01-2015:   1   1st Qu.:  267.2   1st Qu.:  274.28  
##             01-01-2016:   1   Median :  458.3   Median :  465.45  
##             01-01-2017:   1   Mean   : 1068.4   Mean   : 1108.18  
##             01-02-2014:   1   3rd Qu.:  780.0   3rd Qu.:  801.63  
##             01-02-2015:   1   Max.   :19475.8   Max.   :20089.00  
##             (Other)   :1690                                       
##       low               close              volume         
##  Min.   :   65.53   Min.   :   68.43   Min.   :0.000e+00  
##  1st Qu.:  262.78   1st Qu.:  267.92   1st Qu.:1.560e+07  
##  Median :  449.02   Median :  458.58   Median :3.965e+07  
##  Mean   : 1036.51   Mean   : 1079.61   Mean   :4.315e+08  
##  3rd Qu.:  768.53   3rd Qu.:  780.79   3rd Qu.:1.069e+08  
##  Max.   :18974.10   Max.   :19497.40   Max.   :2.114e+10  
##                                                           
##      market               name         ranknow 
##  Min.   :7.793e+08   Bitcoin:1696   Min.   :1  
##  1st Qu.:3.825e+09                  1st Qu.:1  
##  Median :6.659e+09                  Median :1  
##  Mean   :1.686e+10                  Mean   :1  
##  3rd Qu.:1.127e+10                  3rd Qu.:1  
##  Max.   :3.260e+11                  Max.   :1  
## 
library(psych)
describe(btc.df)
##         vars    n         mean           sd       median      trimmed
## symbol*    1 1696 1.000000e+00 0.000000e+00 1.000000e+00 1.000000e+00
## date*      2 1696 8.485000e+02 4.897400e+02 8.485000e+02 8.485000e+02
## open       3 1696 1.068410e+03 2.015240e+03 4.582900e+02 5.951300e+02
## high       4 1696 1.108180e+03 2.130590e+03 4.654500e+02 6.102100e+02
## low        5 1696 1.036510e+03 1.933930e+03 4.490200e+02 5.805600e+02
## close      6 1696 1.079610e+03 2.062800e+03 4.585800e+02 5.968000e+02
## volume     7 1696 4.315418e+08 1.537088e+09 3.964570e+07 1.039334e+08
## market     8 1696 1.686259e+10 3.384892e+10 6.659215e+09 8.842867e+09
## name*      9 1696 1.000000e+00 0.000000e+00 1.000000e+00 1.000000e+00
## ranknow   10 1696 1.000000e+00 0.000000e+00 1.000000e+00 1.000000e+00
##                  mad         min         max        range skew kurtosis
## symbol* 0.000000e+00 1.00000e+00 1.00000e+00 0.000000e+00  NaN      NaN
## date*   6.286200e+02 1.00000e+00 1.69600e+03 1.695000e+03 0.00    -1.20
## open    3.219100e+02 6.85000e+01 1.94758e+04 1.940730e+04 4.93    30.74
## high    3.279400e+02 7.45600e+01 2.00890e+04 2.001444e+04 5.02    31.53
## low     3.118000e+02 6.55300e+01 1.89741e+04 1.890857e+04 4.85    29.65
## close   3.225400e+02 6.84300e+01 1.94974e+04 1.942897e+04 4.98    31.14
## volume  4.521264e+07 0.00000e+00 2.11360e+10 2.113600e+10 7.31    65.52
## market  4.842461e+09 7.79255e+08 3.26000e+11 3.252207e+11 4.94    30.75
## name*   0.000000e+00 1.00000e+00 1.00000e+00 0.000000e+00  NaN      NaN
## ranknow 0.000000e+00 1.00000e+00 1.00000e+00 0.000000e+00  NaN      NaN
##                   se
## symbol*         0.00
## date*          11.89
## open           48.93
## high           51.74
## low            46.96
## close          50.09
## volume   37323794.02
## market  821924445.44
## name*           0.00
## ranknow         0.00

Dimensions of the dataset

dim(btc.df)
## [1] 1696   10

The dataset has 1696 rows and 9 columns.

Mean, Median and Standard Deviation of variable “open”

mean(btc.df$open)
## [1] 1068.412
median(btc.df$open)
## [1] 458.29
sd(btc.df$open)
## [1] 2015.243

Mean, Median and Standard Deviation of variable “high”

mean(btc.df$high)
## [1] 1108.179
median(btc.df$high)
## [1] 465.45
sd(btc.df$high)
## [1] 2130.587

Mean, Median and Standard Deviation of variable “low”

mean(btc.df$low)
## [1] 1036.506
median(btc.df$low)
## [1] 449.025
sd(btc.df$low)
## [1] 1933.932

Mean, Median and Standard Deviation of variable “close”

mean(btc.df$close)
## [1] 1079.607
median(btc.df$close)
## [1] 458.58
sd(btc.df$close)
## [1] 2062.803

Mean, Median and Standard Deviation of variable “volume”

mean(btc.df$volume)
## [1] 431541801
median(btc.df$volume)
## [1] 39645700
sd(btc.df$volume)
## [1] 1537087915

Mean, Median and Standard Deviation of variable “market”

mean(btc.df$market)
## [1] 16862591646
median(btc.df$market)
## [1] 6659215000
sd(btc.df$market)
## [1] 33848920376

One way continency tables

open

mytable <- with(btc.df, table(open))
options(max.print=1000000)
mytable
## open
##    68.5   68.75      76    76.5   76.72   78.89   79.99      88   88.05 
##       1       1       1       1       1       1       1       1       1 
##   88.98   89.82   90.07   90.41    91.6      92   93.61   93.99    94.4 
##       1       1       1       1       1       2       1       1       1 
##    94.5   94.66      95   95.56   96.02   96.71   96.95   97.51    98.1 
##       1       1       1       1       1       1       1       1       1 
##    98.5    98.6    98.7   98.89    99.8    99.9     100  100.44  101.49 
##       1       1       1       1       1       1       1       1       1 
##  101.74  101.95  102.09   102.8     103  103.07  103.33  103.95     104 
##       1       1       1       1       1       1       1       1       1 
##   104.5  104.86  104.95     105  105.12  106.21  106.25  106.35  106.72 
##       1       1       1       1       1       1       1       1       1 
##  106.75  106.99  107.05  107.89   107.9  107.95   108.2  108.25  108.78 
##       2       1       1       1       1       1       1       1       1 
##  108.99     109   109.5  109.56   109.6     110     111  111.29   111.4 
##       1       1       1       1       1       1       1       1       1 
##  112.25  112.56  112.75   112.8   112.9   113.2  113.38  114.22  114.45 
##       1       1       1       1       1       1       1       1       1 
##  114.82  115.64  115.98  116.38   117.7  117.98  118.21  118.51  118.89 
##       1       1       1       1       1       1       1       1       1 
##  118.97     119   119.6  120.07  120.74  121.21   121.4  121.86   121.9 
##       1       1       1       1       1       1       1       1       1 
##     122  122.02  122.11  122.35   122.5  122.62  122.89  123.21   123.3 
##       1       1       1       1       2       1       1       1       1 
##  123.41   123.5   123.8  124.13  125.85  125.89  126.05   126.3  126.48 
##       1       1       1       1       1       1       1       1       1 
##  126.49  126.74  126.76  126.95  127.27  127.38  127.87  128.21  128.36 
##       1       1       1       1       1       1       1       1       1 
##  128.63   128.8  128.81  128.94  128.98     129   129.3   129.4  129.43 
##       1       1       1       1       1       1       1       1       1 
##   129.7  129.77  130.67  130.75  130.86   130.9  131.37  131.59  131.71 
##       1       1       1       1       1       1       1       1       1 
##  131.99  132.05  132.25  132.68  132.83  133.09   133.1   133.5  133.77 
##       1       1       1       1       1       1       1       1       1 
##  134.44   134.9  135.01  135.14  135.19   135.3  135.55  135.61  136.53 
##       1       1       1       1       1       1       1       1       1 
##  137.15  138.63     139  139.27  140.77  142.41     144  145.65  146.37 
##       1       1       1       1       1       1       1       1       1 
##  155.91  171.66   174.8   176.6   176.9  182.65  187.45  193.36  196.21 
##       1       1       1       1       1       1       1       1       1 
##  197.69  198.55  199.83  200.05   203.9  204.39  205.81  205.99  207.83 
##       1       1       1       1       1       1       1       1       1 
##  209.07  210.07  211.38  211.47  212.91   214.3  214.66  216.87  216.92 
##       1       1       1       1       1       1       1       1       1 
##  219.07  219.21  219.43  219.73  220.28  221.97  222.08  222.61  222.63 
##       1       1       1       1       1       1       1       1       1 
##  222.85  222.88  222.89  223.39  223.46  223.89  223.92  224.15  224.62 
##       1       1       1       1       1       1       1       1       1 
##   224.7  224.76     225  225.59   225.6  225.67  225.69  225.74  225.77 
##       1       1       1       1       1       1       1       1       1 
##  226.05  226.41  226.44  226.49   226.9  226.97  227.22  227.32  227.51 
##       1       1       1       1       1       1       1       1       1 
##  227.66  227.69  228.03  228.11  228.54  228.57  228.85  228.97     229 
##       1       1       1       1       1       1       1       1       1 
##  229.08  229.11  229.21  229.32  229.66  229.71   229.9  229.92   230.2 
##       1       1       1       1       1       1       1       1       1 
##  230.23  230.25  230.26  230.36  230.38  230.49  230.61  230.94  231.22 
##       1       1       1       1       1       1       1       1       1 
##  231.24   231.4  231.55  231.89  232.34  232.44  232.66   232.7  232.77 
##       1       1       1       1       1       1       1       1       1 
##  232.84  232.86  233.04  233.13  233.35  233.42  233.52  234.02  234.05 
##       1       1       1       1       1       2       2       1       1 
##  234.14  234.36  234.82  234.87  234.88  235.08  235.24  235.32  235.35 
##       1       1       1       1       1       1       1       1       1 
##  235.53   235.6  235.94  235.95  235.97     236  236.01  236.02  236.21 
##       1       1       1       1       1       2       1       1       1 
##  236.25  236.41  236.44  236.53  236.64  236.76  236.89  236.96  237.06 
##       1       1       1       1       1       1       1       1       1 
##  237.09   237.1   237.2  237.26  237.34  237.38  237.45  237.64  238.15 
##       1       1       2       2       1       1       1       1       1 
##  238.33  238.34  238.53  238.85  238.89  238.98     239  239.02  239.85 
##       1       1       1       1       1       1       1       1       2 
##  239.93  240.25  240.29   240.3  240.36  240.37  240.93   241.4  241.73 
##       1       1       1       1       2       1       1       1       1 
##  242.15   242.5   242.6  242.88  243.07  243.41  243.55  243.69  243.74 
##       1       1       1       1       1       1       1       1       1 
##  243.75  243.77  243.78  243.97  244.22  244.28  244.53  244.54  244.74 
##       1       1       1       1       1       1       1       1       1 
##  244.75  244.78   245.1   245.2  246.17  246.28  246.88  246.93  246.97 
##       1       1       1       1       1       1       1       1       1 
##  247.09  247.35  247.45  247.47  248.57  248.72  249.04  249.43  249.49 
##       1       1       1       1       1       1       1       1       1 
##  250.82  250.96  252.11  252.74  253.06  253.07  253.52  253.76  254.08 
##       1       1       1       1       1       1       1       1       1 
##  254.28  254.29   254.3  255.27  255.46  255.88  256.49  257.04  257.51 
##       1       1       1       1       1       1       1       1       1 
##  257.93  258.49  258.55  259.92  260.36  260.72  260.81  260.96  261.12 
##       1       1       1       1       1       1       1       1       1 
##  261.64  261.68  261.86  261.87  262.75  263.35  263.57  264.13  264.34 
##       1       1       1       1       1       2       1       1       1 
##  265.08  265.48  265.53  265.98  266.15  266.18   266.5  266.58  267.39 
##       1       1       1       1       1       1       1       1       1 
##  267.89  269.16  269.31  269.96   270.6  270.83  270.91  271.11  272.29 
##       1       1       1       1       1       1       1       1       1 
##  272.74  273.17   273.5  273.65  274.61  274.77  274.81  275.05   275.6 
##       1       1       1       1       2       1       1       1       1 
##  275.66     276  276.43   276.5  277.34  278.09  278.74  278.88  279.33 
##       1       1       1       1       1       1       1       1       1 
##  279.74  280.45  281.15  281.23  281.43  281.44  281.91  281.99  282.38 
##       1       1       1       1       1       1       1       1       1 
##  282.81  283.63  284.44  284.69  284.85  284.88  285.07  285.18  285.69 
##       1       1       1       1       1       1       1       1       1 
##  286.04  286.08   287.3   287.7  288.05  288.16  288.64   289.1  289.86 
##       1       1       1       1       1       1       1       1       1 
##   290.6  291.52  292.03  292.64  293.14  293.63   293.7  294.12  294.13 
##       1       1       1       1       1       1       1       1       1 
##  294.48  296.13  297.85  304.32  310.83  310.91  311.18  312.72  313.94 
##       1       1       1       1       1       1       1       1       1 
##  314.08  314.85     315  316.16  317.62   317.7  319.15  319.74  319.79 
##       2       1       1       1       1       1       1       1       1 
##  320.05  320.39  320.44  321.07  322.09  322.29  323.01  324.35  325.41 
##       1       1       1       1       1       1       1       1       1 
##  325.57  325.94  326.07  326.41  326.86  326.98  327.16  327.58   328.3 
##       1       1       1       1       1       1       1       1       1 
##  328.51  328.92  329.54  330.36  330.58  330.68  332.02  333.05  334.38 
##       1       1       1       1       1       1       1       1       1 
##  334.59  334.68  335.71  336.12  336.62   338.5  338.58  338.65  339.46 
##       1       1       1       1       1       1       1       1       1 
##  339.82  342.15  343.06  344.34  345.01  345.38  345.67  346.73  347.49 
##       1       1       1       1       1       1       1       1       1 
##  348.82  349.82  350.83  351.36   351.6  351.86   352.2  352.38  352.75 
##       1       1       1       1       1       1       1       1       1 
##  353.18  353.21  354.78  357.09  357.14  357.47  357.88  358.59  358.61 
##       1       1       1       1       1       1       1       1       1 
##  359.33  359.89  360.97  361.26  361.36  361.85  361.87  361.89  362.26 
##       1       1       1       1       1       1       1       1       1 
##  362.61  363.71  363.72  364.69  365.07  365.86  366.95  367.99  369.35 
##       1       1       1       1       1       1       1       1       1 
##  369.37  369.44  370.17   370.5  371.44  372.92  373.42   373.9  374.27 
##       1       1       1       1       1       1       1       1       1 
##  374.32  374.65  374.73  374.84  374.96  375.18  375.51  375.72  376.02 
##       1       1       1       1       1       1       1       1       1 
##  376.09  376.15  376.51  376.76  376.89  376.93  377.41  377.92  378.25 
##       1       2       1       2       1       1       1       1       1 
##  378.29  378.87  379.25  379.69  379.74  379.98  380.11  380.31  381.72 
##       1       1       1       1       1       1       1       1       1 
##  381.73  382.11  382.42  382.43  382.76  382.96  383.98  383.99  384.28 
##       1       1       1       1       1       1       1       1       1 
##  384.64  386.12  386.59  387.03  387.15  387.43  387.79  388.05   388.1 
##       1       1       1       1       1       1       1       1       1 
##  388.35   388.9  389.23  389.56  389.98  391.25  391.69     392  392.44 
##       1       1       1       1       1       1       1       1       1 
##  392.93  394.52  394.67  395.15  395.75   399.1  399.47  399.65  400.52 
##       1       1       1       1       1       1       1       1       1 
##  400.95  401.43  402.09  402.32  403.56  403.66  406.41  407.57  407.66 
##       1       1       1       1       1       1       1       1       1 
##  407.76  408.08  409.26  409.75   410.4  410.78  411.43  411.65  413.13 
##       1       2       1       1       1       1       1       1       1 
##  413.42  413.89   414.2  414.44  414.46  414.74  414.83  415.26  415.28 
##       1       1       1       1       1       1       1       1       1 
##  416.39  416.51  416.57  416.76  416.83  416.89  417.24  417.28  417.37 
##       1       2       1       1       1       1       1       1       1 
##  417.89  417.99  418.14  418.16  418.42  419.41  419.59  419.63  420.55 
##       1       1       1       1       3       1       1       1       1 
##  420.81  420.89  420.96  421.02  421.17   421.3  421.46   421.6  421.61 
##       1       1       1       1       1       1       1       1       1 
##  421.84  421.87   422.1  422.73  422.84  422.91  423.16  423.34  423.62 
##       1       1       1       1       1       1       1       1       1 
##  423.91  423.94   424.1  424.28   424.3  424.43  424.63  425.04  425.63 
##       1       1       1       1       1       1       1       1       1 
##  425.88  426.55  427.27  427.61   428.7  429.34  429.57  430.01  430.06 
##       1       1       1       1       1       1       1       1       1 
##  430.25  430.64  430.72  431.66  431.86  432.29  432.57  432.84  433.07 
##       1       1       2       1       1       1       1       1       1 
##  433.27   433.3  433.36  433.44  433.58  434.62  434.67  434.78  435.13 
##       1       1       1       1       1       1       1       1       1 
##  435.32  435.75  436.44  436.72  437.44  437.77  437.79  437.92  438.25 
##       1       1       1       1       1       1       1       1       1 
##   438.3  438.52  438.68  438.99  439.35  439.98  440.18  440.59  440.96 
##       1       1       1       1       1       1       1       1       1 
##  441.42  441.53  442.26  442.84  442.97  443.09  443.22  443.88  444.14 
##       1       1       1       1       1       1       1       1       1 
##  444.29  444.73  445.04  445.66  445.86  446.06  446.08  446.31  446.68 
##       1       1       1       1       1       1       1       1       1 
##  446.71  446.89  447.39  447.61  447.63  447.94  448.12  448.18  448.24 
##       1       1       1       1       1       1       1       1       1 
##  448.48   448.7   449.4  449.41  449.67  449.69  450.18  450.46  450.56 
##       1       2       1       1       1       1       1       1       1 
##  450.86  451.93  452.33  452.45  453.18  453.38  453.52  453.69  453.92 
##       1       1       1       1       1       1       1       1       1 
##  454.01  454.52  454.78  454.85  454.86  455.18  455.76  455.82  455.85 
##       1       1       1       1       1       1       2       1       1 
##  456.86     457  457.24  457.36  457.54  457.59  458.21  458.37  458.43 
##       1       1       1       1       1       1       1       1       1 
##  459.12  459.64  460.52  461.47  461.48  461.65   461.7  462.23   462.3 
##       1       1       1       1       1       1       1       1       1 
##   463.4  463.55  465.21  465.86  466.26  473.03  474.48  474.86  474.88 
##       1       1       1       1       1       1       1       1       1 
##  475.48  476.87  477.14  477.68  477.76  477.79  479.12  479.14  479.58 
##       1       1       1       1       1       2       1       1       2 
##  479.62  481.81  483.34  485.07  485.13   485.8  488.36  489.67  490.82 
##       1       1       1       1       1       1       1       1       1 
##  491.51  492.05  492.37  495.45   495.8  496.58  497.74  497.83  498.29 
##       1       1       1       1       1       1       1       1       1 
##  500.09  501.71  501.75  502.54   502.9  508.22  508.43  508.59  510.45 
##       1       1       1       1       1       1       1       1       1 
##  510.88  511.14  512.19  513.39  517.58  519.06  519.14  521.05  522.18 
##       1       1       1       1       1       1       1       1       1 
##  525.23  525.72  527.48  528.47  529.07  531.11  534.19  536.51  537.04 
##       1       1       1       1       1       1       1       1       1 
##  537.68  540.24  546.18  548.66  549.92  556.88  562.51  562.56  565.76 
##       1       1       1       1       1       1       1       1       1 
##  566.14  566.33  567.23  567.24  567.37  568.18  569.71  569.83  570.38 
##       1       1       1       1       1       1       1       1       1 
##  570.49  571.18  571.39  571.91  572.41  573.31  573.71  574.07  574.11 
##       1       1       1       1       1       1       1       1       1 
##  574.24  574.34   574.6  575.03  575.55  575.84  575.93  576.08  576.33 
##       1       1       1       1       2       1       1       1       1 
##  576.51  577.17  577.59  577.75  577.76  577.98  578.28  578.67  579.45 
##       1       1       1       1       1       1       1       1       1 
##   579.7  580.18  580.26   581.3  581.31  581.65  581.81  581.94   582.2 
##       1       1       1       1       1       1       1       1       1 
##  582.59  583.41  583.48  584.65  584.74  585.03  585.45  585.55  585.59 
##       1       1       1       1       1       1       1       1       1 
##   585.7  585.95   586.2  586.23  586.77  587.36  587.65  587.77  588.29 
##       1       1       1       1       1       1       1       1       1 
##   588.8  588.88  588.89  589.01  589.17  591.04  591.28  591.59  592.12 
##       1       1       1       1       1       1       1       1       1 
##  592.47  592.65  592.74  593.68  593.97  594.14  594.32   594.9  595.67 
##       1       1       1       1       1       1       1       1       1 
##   595.9   596.2  596.33  597.28   597.4  597.44  598.59  599.08  600.75 
##       1       1       1       1       1       1       1       1       1 
##  600.81  601.17  601.51  601.54  601.78  602.16  602.62  602.75  602.96 
##       1       1       1       1       1       1       1       1       1 
##  603.59  605.02  605.72  606.04  606.24  606.28   606.4  606.47  606.51 
##       1       1       1       1       1       1       1       1       1 
##     607  607.22  607.25  608.02  608.07  608.84  608.99  609.25  609.68 
##       1       1       1       2       1       1       1       1       1 
##  609.75  609.77  609.87  609.93  610.22  610.57  610.59  610.97  612.05 
##       1       1       1       1       1       1       1       1       1 
##  612.47  612.61  613.06   613.9  613.95  614.23  614.63  615.69  616.31 
##       1       1       1       1       1       1       1       1       1 
##  616.54  616.66  616.82  617.34  619.17  619.24   619.5   619.9     620 
##       1       1       1       1       1       1       1       1       1 
##  621.12  621.84  622.01  622.27  622.37  622.57  622.93  623.09  623.42 
##       1       1       1       1       1       1       1       1       1 
##  623.69  623.95   624.6  624.83  625.22  625.58  625.97  626.35  626.56 
##       1       1       1       1       1       1       1       1       1 
##  627.16  627.95  628.56  629.17  629.35  629.37  629.64  629.66  629.95 
##       1       1       1       1       1       1       1       1       1 
##  630.66  630.83  630.92  631.77  631.88  631.91  633.14  633.43  633.62 
##       1       1       1       1       1       1       1       1       1 
##  634.22  635.46  636.03  636.33   636.5  637.01  638.13  638.14  639.08 
##       1       1       1       1       1       1       1       1       1 
##  639.41  640.31  640.59  640.69  640.87  641.04  641.07  641.39  641.82 
##       1       1       1       1       1       1       1       1       1 
##  644.12  644.65  648.28  648.48  650.04   650.6  650.73  650.77  651.08 
##       1       1       1       1       1       1       1       1       1 
##   651.3  651.63  652.92  653.19  653.52     654  654.23  654.49  654.99 
##       1       1       1       1       1       1       1       1       1 
##   655.1  655.11  655.41  655.64  657.01  657.16  657.62  657.68   658.1 
##       1       1       1       1       1       1       1       1       1 
##   658.8  659.17  659.28  660.55   660.9  661.26  661.99  663.78  664.31 
##       1       1       1       1       1       1       1       1       1 
##  664.52   664.8  664.92  665.23  665.28  665.91  665.93  666.24  666.31 
##       1       1       1       1       1       1       1       1       1 
##  666.38  666.77  668.24  670.42  671.46  671.65  672.36  672.38  672.51 
##       1       1       1       1       1       1       1       1       1 
##  672.74  672.81  676.73  678.09   678.2  678.21  679.81  681.32  683.21 
##       1       1       1       1       1       1       1       1       1 
##   683.5  683.94  685.68     688  689.12  690.29  694.22  696.52  697.31 
##       1       1       1       1       1       1       1       1       1 
##  699.57  701.34     702  702.64  703.09  703.52  703.81   704.5  704.97 
##       1       1       1       1       1       1       1       1       1 
##   705.2  705.79  706.37  709.83  710.74  711.17  712.76  714.12  715.55 
##       1       1       1       1       1       1       1       1       1 
##  716.75  722.84  724.07  728.05  730.07  731.26  732.48  735.44  735.88 
##       1       1       1       1       1       1       1       1       1 
##  736.28  736.33  737.98  739.64  740.44  740.71  741.35  741.51  742.35 
##       1       1       1       1       1       1       1       1       1 
##  744.62  744.88  746.05  748.76  751.74  751.83  751.88  754.97  756.69 
##       1       1       1       1       1       1       1       1       1 
##  757.54  758.72  760.32  763.28  763.93  764.21  768.08  768.49  769.94 
##       1       1       1       1       1       1       1       1       1 
##  770.04  771.64   771.7  773.02  773.39  773.44  774.02  774.75  775.18 
##       1       1       1       2       1       1       1       1       1 
##  778.25  778.96     780  780.07  780.65   783.2  785.17  790.69  791.01 
##       1       1       1       1       1       1       1       1       1 
##  792.25   793.8  795.63  795.99  796.24  800.64  802.85  803.74  805.73 
##       1       1       1       1       1       1       1       1       1 
##  809.96  815.59  816.07  818.14  818.43  821.78  822.43  823.27  823.77 
##       1       1       1       1       1       1       1       1       1 
##  824.08  825.14  826.02  828.61  829.96  830.95   832.9  833.12  834.18 
##       1       1       1       1       1       1       1       1       1 
##  834.49  835.32  839.66  841.47  843.17  845.46  846.69  853.68  858.55 
##       1       1       1       1       1       1       1       1       1 
##  860.19  860.29  864.89  867.21  867.32  869.65  871.39  874.98  875.29 
##       1       1       1       1       1       1       1       1       1 
##  880.33  882.78   884.6  888.34  891.92  892.32  895.55   896.9  898.17 
##       1       1       1       1       1       1       1       1       1 
##  899.65  899.85  902.39  902.44  903.49  908.12  908.17  908.35  909.37 
##       1       1       1       1       1       1       1       1       1 
##  910.68  913.24  918.36   919.6  919.81  920.15  920.96  922.07  922.18 
##       1       1       1       1       1       1       1       1       1 
##  922.21  923.85   925.5  934.83  936.05  936.54  946.49  951.42  960.63 
##       1       1       1       1       1       1       1       1       1 
##  963.66  970.94  972.05  972.53  974.01  975.13  976.73   988.9  989.07 
##       1       1       1       1       1       1       1       1       1 
##     990  991.74  995.63  998.62  998.88 1003.38 1003.52 1006.21 1007.65 
##       1       1       1       1       1       1       1       1       1 
## 1011.46 1014.24  1021.6 1026.12 1026.64  1028.4 1031.33 1037.24 1038.45 
##       1       1       1       1       1       1       1       1       1 
## 1040.14 1042.01 1042.21 1042.38 1043.52  1044.4 1044.58 1046.08  1046.4 
##       1       1       1       1       1       1       1       1       1 
## 1048.69 1049.21 1050.05 1054.76 1055.36 1062.32  1064.7 1071.71 1077.58 
##       1       1       1       1       1       1       1       1       1 
## 1079.28 1080.61 1099.69 1102.95  1114.8 1116.32 1117.27 1120.65 1125.81 
##       1       1       1       1       1       1       1       1       1 
## 1128.92 1129.37 1134.14 1144.27 1145.52 1150.35 1152.73 1156.73 1163.78 
##       1       1       1       1       1       1       1       1       1 
##  1167.3 1170.33 1170.41 1172.61 1172.65 1172.71 1176.57 1176.62 1178.94 
##       1       1       1       1       1       1       1       1       1 
## 1180.04 1180.16 1180.72 1183.25  1187.3 1187.46 1189.36 1193.77 1201.02 
##       1       1       1       1       1       1       1       1       1 
## 1204.81 1209.63 1211.08 1212.13 1221.78 1222.71 1223.23 1224.68 1229.42 
##       1       1       1       1       1       1       1       1       1 
## 1231.92 1232.16 1240.16 1250.45 1250.71 1251.33 1254.29 1265.99 1267.47 
##       1       1       1       1       1       1       1       1       1 
## 1273.21 1277.43 1281.88 1317.74 1317.84 1321.87  1348.3 1421.03 1453.78 
##       1       1       1       1       1       1       1       1       1 
## 1490.72 1540.87 1556.81 1579.47 1596.92 1723.12 1723.89 1726.73  1741.7 
##       1       1       1       1       1       1       1       1       1 
## 1756.52 1780.37 1800.86 1808.44  1818.7 1845.76 1897.37 1932.62 1984.24 
##       1       1       1       1       1       1       1       1       1 
## 1991.98 2043.19 2054.08 2067.03 2159.43 2187.19 2191.56 2196.27 2230.12 
##       1       1       1       1       1       1       1       1       1 
## 2233.52 2255.36 2269.89 2288.33 2320.89 2321.37 2323.08 2332.77 2360.59 
##       1       1       1       1       1       1       1       1       1 
## 2385.89  2402.7 2404.03  2436.4 2446.24 2469.57 2478.45  2492.6 2493.72 
##       1       1       1       1       1       1       1       1       1 
## 2498.56 2499.58  2512.4 2514.01 2520.27 2525.25 2538.71 2539.24 2547.79 
##       1       1       1       1       1       1       1       1       1 
## 2549.03 2553.03    2561 2567.56 2572.61 2577.77 2590.57 2591.26 2602.87 
##       1       1       1       1       1       1       1       1       1 
## 2607.25  2608.1 2608.59 2655.35 2668.63 2679.73 2680.91 2690.84 2691.03 
##       1       1       1       1       1       1       1       1       1 
## 2707.34 2709.43 2709.56 2716.88 2720.49 2724.39 2727.13  2732.7 2738.52 
##       1       1       1       1       1       1       1       1       1 
##  2757.5 2763.24 2806.93 2807.02 2807.44  2808.1 2828.14 2838.41 2869.38 
##       1       1       1       1       1       1       1       1       1 
##  2871.3 2897.63 2942.41 2953.22  3166.3 3212.78 3257.61 3341.84 3370.22 
##       1       1       1       1       1       1       1       1       1 
## 3373.82  3420.4 3591.09 3606.28 3628.02 3629.92 3637.75 3650.63 3681.58 
##       1       1       1       1       1       1       1       1       1 
## 3796.15 3875.37 3880.04 3892.94 3901.47 3916.36 3928.41 3998.35  4066.1 
##       1       1       1       1       1       1       1       1       1 
## 4073.79 4089.01 4090.48 4122.47 4131.98  4137.6 4137.75 4166.11 4168.88 
##       1       1       1       1       1       1       1       1       1 
## 4171.62 4189.31 4197.13 4200.34 4228.29 4229.34 4229.81 4229.88 4319.37 
##       1       1       1       1       1       1       1       1       1 
## 4324.34 4324.46 4326.99 4332.82 4341.05  4345.1 4369.35 4372.06 4376.59 
##       1       1       1       1       1       1       1       1       1 
## 4384.44 4384.45 4389.21 4395.81 4408.46 4429.67 4555.59 4570.36 4585.27 
##       1       1       1       1       1       1       1       1       1 
## 4589.14 4591.63 4605.16 4614.52 4701.76 4776.21 4789.25 4829.58 4901.42 
##       1       1       1       1       1       1       1       1       1 
## 5464.16  5524.6 5583.74 5603.82 5643.53 5687.57 5708.11 5741.58 5747.95 
##       1       1       1       1       1       1       1       1       1 
## 5754.44 5787.82 5835.96 5899.74 5935.52 5938.25 5996.79    6006 6036.66 
##       1       1       1       1       1       1       1       1       1 
## 6114.85 6132.02 6295.45 6440.97 6561.48 6618.61 6634.76 6777.77  7023.1 
##       1       1       1       1       1       1       1       1       1 
## 7087.53 7141.38 7164.48 7173.73 7323.24 7403.22 7404.52 7446.83 7697.21 
##       1       1       1       1       1       1       1       1       1 
## 7766.03 7853.57 8039.07 8074.02 8077.95 8205.74 8232.38 8241.71 8789.04 
##       1       1       1       1       1       1       1       1       1 
## 9352.72 9823.43 9906.79 10077.4 10198.6 10978.3 11082.7 11315.4 11685.7 
##       1       1       1       1       1       1       1       1       1 
## 11923.4 14266.1 15168.4 15427.4 16384.6 16523.3 16601.3 16919.8   17500 
##       1       1       1       1       1       1       1       1       1 
## 17760.3 17802.9 19106.4 19475.8 
##       1       1       1       1

high

mytable <- with(btc.df, table(high))
options(max.print=1000000)
mytable
## high
##   74.56      75    78.3      80   83.11      87   90.28   90.98   91.95 
##       1       1       1       2       1       1       1       1       1 
##      92    92.3    93.1    95.2   95.99   96.82      97   97.33   97.47 
##       1       1       1       1       1       1       1       1       1 
##   97.66   98.12   98.25    98.7    98.8   99.86   99.97   99.99  100.58 
##       1       1       1       1       1       1       1       1       1 
##   101.6  101.74   101.9  102.21   102.5   103.7   103.9     104   104.7 
##       1       1       1       1       1       1       1       2       1 
##  105.19  105.49  105.75  105.78  105.95  106.47  106.75  107.38  107.77 
##       1       1       1       1       1       1       2       1       1 
##  107.99     108  108.13  108.33   108.8  108.99  109.35   109.6  109.96 
##       1       3       1       1       1       1       1       1       1 
##   110.1  110.22   110.3  111.11  111.34  111.42  111.79   112.3  113.25 
##       1       1       1       1       1       1       1       1       1 
##  113.44  113.46  113.75   114.3  114.69  114.99     115  115.78  115.81 
##       1       1       1       1       1       1       2       1       1 
##  117.45  118.68   118.7  118.76   118.8     119   119.8  121.39     122 
##       1       1       1       1       1       1       1       1       2 
##   122.5  122.75  122.99     123  123.01  123.06   123.1  123.47   123.5 
##       1       1       1       1       1       1       1       1       1 
##  123.62  123.63   123.7  123.84     124   124.5  124.66  124.72  124.91 
##       1       1       1       1       1       1       1       1       1 
##  125.25   125.3   125.6  125.94  126.93  127.24  127.32  127.34  127.46 
##       1       1       1       1       1       1       1       1       1 
##  127.47  128.61  129.06   129.4  129.66  129.69  129.74  129.78   129.9 
##       1       1       1       1       1       1       1       1       1 
##  130.09  130.27  130.44  130.58  131.44   131.5  131.75  131.77  131.81 
##       1       1       1       1       2       1       1       1       1 
##  132.25  132.59  132.72  132.76   133.2  133.22  133.59  133.85  133.94 
##       1       1       2       1       1       1       1       1       1 
##  134.63  134.74  134.93  135.47  135.62  135.63  135.66  135.75  135.85 
##       1       1       1       1       1       1       1       1       1 
##  135.98     136  136.08  137.58  137.83  138.34  138.35  138.66  139.89 
##       1       1       1       1       1       1       1       1       1 
##  140.61  140.89  144.12   144.5  145.39  145.81   146.5  146.93  147.42 
##       1       1       1       1       1       1       1       1       1 
##  147.49  152.23  155.96  174.91  177.48  184.82  188.41  196.27  196.44 
##       1       1       1       1       1       1       1       1       1 
##  198.62  198.87  204.79  205.18  206.65  207.76  209.16  211.73  213.62 
##       1       1       1       1       1       1       1       1       1 
##  215.05  215.24  216.73  217.42  218.69  221.59  221.81   222.2  223.41 
##       1       1       1       1       1       1       1       1       1 
##  223.83  223.89  223.98  224.32  224.98  225.72  225.97  226.19  226.32 
##       1       1       1       1       1       1       1       1       1 
##  226.35  226.42  226.58  226.94  227.04   227.4  227.79  228.14  228.64 
##       2       1       1       1       1       1       1       1       1 
##  228.91  229.07  229.44  229.46   229.5   229.6  229.67  229.78  230.06 
##       1       1       1       1       1       1       1       1       1 
##  230.28  230.29   230.3  230.51  230.58   230.9  230.95  231.01  231.06 
##       1       1       1       1       1       1       1       1       1 
##  231.18  231.22  231.57  231.71  231.84  231.96  232.07  232.37  232.39 
##       1       3       1       1       1       1       1       1       1 
##  232.44  232.56  232.65  232.71  233.21  233.22  233.25  233.31   233.5 
##       1       1       1       1       1       1       1       1       1 
##  234.15  234.35  234.53  234.68  234.84  234.86  234.96  235.22  235.27 
##       1       1       1       1       1       1       1       1       1 
##   235.4  235.65  235.73  235.94  236.14  236.24  236.31  236.43  236.45 
##       1       1       1       1       1       1       1       1       1 
##  236.47  236.94  237.02  237.09  237.21  237.37  237.41  237.43  237.52 
##       1       1       1       1       1       1       1       1       1 
##   237.7  237.71  237.73   237.8  237.82  237.84  237.91  238.03  238.24 
##       1       1       2       1       1       1       1       1       1 
##  238.44  238.54  238.64  238.71  238.75  238.97   239.1   239.2  239.31 
##       1       1       1       1       1       2       1       1       1 
##  239.34  239.41  239.52  239.54  239.56   239.8   239.9  240.11  240.12 
##       2       1       1       1       1       1       1       1       1 
##  240.26  240.38  240.97  241.02  241.03  241.17  241.29  241.98  242.11 
##       1       1       1       1       1       1       1       1       1 
##  242.18  242.64  242.67  242.85  242.88  242.91  243.24  243.33  243.69 
##       1       1       1       1       1       1       1       1       1 
##   243.7  243.75  244.07  244.23  244.25  244.27  244.34  244.42  245.22 
##       1       1       1       1       2       1       1       1       1 
##  245.32  245.78  245.83  245.96  246.12  246.28  246.39  246.68  246.94 
##       1       2       1       1       1       1       1       1       1 
##   247.1  247.24   247.3  247.45  247.54   247.8  247.92  248.21  248.73 
##       1       1       1       1       1       1       1       1       1 
##  249.19  249.24  250.24  250.66  250.98  251.17  251.34  251.74  252.11 
##       1       1       1       1       1       1       1       1       1 
##  253.14  253.85  254.21  254.28  254.35  254.46  254.69  255.07  255.26 
##       1       1       1       1       1       1       1       1       1 
##  255.32  255.81  255.96  256.04  256.65  256.81  256.85  257.08  257.17 
##       1       1       1       1       1       1       1       1       1 
##  257.99  259.18  259.81   260.5  260.68  261.46  261.63  261.66   261.8 
##       1       1       1       1       1       1       1       1       1 
##   262.2  262.44     263  264.24  264.82  264.85  265.17  265.61  266.13 
##       1       1       1       1       1       1       1       1       1 
##  266.23  266.54  266.67     267  267.03  267.47  267.87  268.28  269.75 
##       1       1       1       2       1       1       1       1       1 
##  270.39  270.67  270.77  270.83  271.34  271.67   272.2  272.33  272.97 
##       1       1       1       1       1       1       1       1       1 
##  273.58  274.51  275.48  275.67   276.3  276.51   277.3  277.42  277.61 
##       1       1       1       1       1       1       1       1       1 
##  277.67  277.85  277.86  278.11  278.34  278.68  278.98  279.64  279.93 
##       1       1       1       1       1       1       1       1       1 
##  280.28  280.39  280.55  281.67  281.71  281.91  282.53  283.03  284.23 
##       1       1       1       1       1       1       1       1       1 
##  284.93   285.3  285.34  285.47   285.5  285.71   285.8  286.34  286.53 
##       1       1       1       1       1       1       1       1       1 
##  287.23  287.55  288.13  288.96  289.25  290.13  290.73  291.11  291.18 
##       1       1       1       1       1       1       1       1       1 
##  292.37   292.7  293.05  293.25  294.06  294.11  294.13   294.5  294.54 
##       1       1       1       1       1       1       1       1       1 
##  294.59  296.15  296.21  296.65  297.09  297.39  297.77  298.51  298.75 
##       1       1       1       1       1       1       1       1       1 
##  300.04  304.17  306.33  309.38  310.95  314.39  314.81  315.15  315.84 
##       1       1       1       1       1       1       1       1       1 
##  318.17  318.53  320.03  320.19  320.27  320.44  322.67  323.06  323.71 
##       1       1       1       1       1       1       1       1       1 
##  325.12  326.47  327.01  327.47  328.16  328.91  329.05  329.13  329.63 
##       1       1       1       1       1       1       1       1       1 
##  330.32  331.42  331.63  331.77  332.78  333.95     334  334.12  334.17 
##       1       1       1       1       1       1       1       1       1 
##  334.66  334.74  335.33  336.29  336.53  338.18  338.35  338.66  339.25 
##       1       1       1       1       1       1       1       1       1 
##  340.53  340.58  340.91   341.8  343.37  345.08  345.13  345.86  347.03 
##       1       1       1       1       1       1       1       1       1 
##  348.05   350.7  350.91  351.27  351.81  352.38  352.73  352.97  352.98 
##       1       1       1       1       1       2       1       1       1 
##  353.32  354.36  357.83  357.88  358.63  359.22  359.54  359.86  359.98 
##       1       1       1       1       1       1       1       1       1 
##  361.36  362.23  362.81  363.07  363.52  363.59  363.63  364.35  364.49 
##       1       1       1       1       1       1       1       1       1 
##  364.84  365.36  366.76  367.19  370.27  370.82  370.85  371.31  371.94 
##       1       1       1       1       1       1       1       1       1 
##  373.99  374.82  374.95  375.07  375.88  376.03  376.29  377.25  377.69 
##       1       1       1       1       1       1       1       1       1 
##   377.7  378.07  378.45  378.65  378.93  379.19  379.43  379.88  380.35 
##       1       1       1       1       1       1       1       1       1 
##  380.87  380.92  381.39  382.02  382.36  382.53  382.73  382.84  383.03 
##       1       1       1       1       1       1       1       1       1 
##  383.13  383.66  384.04  384.38  384.95  385.05  385.21  385.28  385.48 
##       1       1       1       1       1       1       1       1       2 
##   385.5  386.48  386.63  387.21   387.6  387.73   388.1  388.58  389.79 
##       1       1       1       1       1       1       1       1       1 
##  389.89  390.08  390.56  390.59   390.8  390.96  390.98  391.09  391.38 
##       1       1       1       1       1       1       1       1       1 
##  391.61  391.86   392.4  392.65  393.94  394.54   394.7  395.16   395.5 
##       1       1       1       1       1       1       1       1       1 
##  395.84  396.84  397.23  397.77  398.81  399.97  401.02  402.23  402.32 
##       1       1       1       1       1       1       1       1       1 
##  402.81  405.49  405.53  406.62  406.92  407.23  408.94   410.2  410.38 
##       1       1       1       1       1       1       1       1       1 
##  410.41  410.98  411.26   411.7  411.91  412.43  413.42  414.05  414.63 
##       1       1       1       1       1       1       1       1       1 
##  414.94  415.56  415.92  416.03  416.24   416.6  416.68  416.83  417.51 
##       1       1       1       1       1       1       1       1       1 
##  417.69   417.9  418.08  418.13  418.17  418.37  418.38  418.68  418.99 
##       1       1       1       1       1       1       1       1       1 
##  419.25  419.27  419.51  420.55  420.89     421  421.17  421.58   421.8 
##       1       1       1       1       1       1       1       1       1 
##  422.08  422.34  422.44  422.74  422.88   423.1  423.12   423.3  423.52 
##       1       1       1       1       1       1       1       1       1 
##  423.66  423.93  424.01  424.26  424.53  425.18  425.27  425.36  425.37 
##       1       1       1       1       1       1       1       1       2 
##  425.55   425.9     426   426.2  426.66  426.86  427.28   427.4  427.72 
##       1       1       1       1       1       1       1       1       1 
##  427.83   428.8  429.27  429.72  429.77  429.93  430.25  431.37  431.86 
##       1       1       1       1       2       1       1       1       1 
##  432.15  432.63  432.92  432.98  433.32  433.74  434.18  434.23  434.39 
##       1       1       1       1       1       1       1       1       1 
##  434.52  435.19  435.68  435.92  436.02  436.06  436.11  436.25  437.89 
##       1       1       1       1       1       1       1       1       1 
##  439.05  439.61  439.65  439.77  439.86  440.97  441.51  441.56  441.68 
##       1       1       1       1       1       1       1       1       1 
##  441.98  442.26  443.05  443.37  443.43  443.69  443.78  444.05  444.35 
##       2       1       1       1       1       1       1       1       1 
##  444.53  444.73  446.13  446.66   447.1  447.14  447.53  447.56  448.04 
##       1       1       1       1       1       1       1       2       1 
##  448.05  448.18  448.31   448.4  448.51   449.4  449.55  449.56  449.77 
##       1       1       1       1       1       1       1       1       1 
##   449.8  449.81  450.26  450.28   450.3  450.38  450.55  450.66   451.1 
##       1       1       1       1       1       1       1       2       2 
##  451.64  451.94  451.98  452.44  452.48  452.69  453.64  454.58  454.63 
##       1       1       1       1       1       1       1       1       1 
##  454.64  454.65  454.95  455.07  455.34  455.38  455.59  455.73  455.77 
##       1       1       1       1       1       1       1       1       1 
##     456  456.84  456.86  457.06  457.09  457.42  457.49  457.86  457.93 
##       1       1       1       1       1       1       1       1       1 
##   458.2  458.31  458.46  458.69  458.77  459.33  459.42  460.15  460.61 
##       1       1       1       1       1       1       1       1       1 
##  460.68  461.38  461.93  462.48  462.56  462.64  462.93  463.57  464.54 
##       1       1       1       1       1       1       1       1       1 
##  465.18  465.21  465.32  465.58  466.32  466.62  467.08  467.96  468.17 
##       1       1       1       1       1       1       1       1       1 
##   469.1  469.75  475.64  477.38  478.15  478.62  479.63  479.85  481.71 
##       1       1       1       1       1       1       1       1       1 
##  482.12  482.35  482.99  483.02  485.31  485.71  487.47  488.07   488.6 
##       1       1       1       1       1       1       1       1       1 
##  489.83  490.64  491.44  492.37  493.25  493.93  494.37  495.05  495.34 
##       1       1       1       1       1       1       1       1       1 
##  495.56   498.6  499.37   500.3  500.46  500.58  503.22  503.56  504.86 
##       1       1       1       1       1       1       1       1       1 
##  504.88  508.22  509.31  510.57  510.87  511.69  512.69  512.89   514.3 
##       1       1       1       1       1       1       1       1       1 
##  516.16  518.18  518.28     519  520.19  520.71  521.48  525.17  525.36 
##       1       1       1       1       1       1       2       1       1 
##  526.02   531.9  533.47  533.52  540.35  541.38  541.96  542.38  543.08 
##       1       1       1       1       1       1       1       1       1 
##  544.35  546.24  546.62  553.96  570.24  570.48  572.55  573.03  573.36 
##       1       1       1       1       1       1       1       1       1 
##  573.38  573.58  574.04  574.64  575.64  576.28  576.31  576.48  576.95 
##       1       1       1       1       1       1       1       1       1 
##   577.1  577.79  577.86  578.24  578.28  578.36  578.62  579.13   579.5 
##       1       1       1       1       1       1       1       1       1 
##  579.85  580.45  580.56  580.62  580.89  581.63  581.74   582.2  582.81 
##       1       1       1       1       1       1       1       1       1 
##  582.82  582.84  582.96  583.59   583.6  584.14  584.16  585.12  585.44 
##       1       1       1       1       1       1       1       1       1 
##  585.67  586.24  586.47  586.56  587.49  588.38  588.39   588.4  588.45 
##       1       1       1       1       1       1       1       1       1 
##  589.15  589.47  589.52  589.77  589.87  589.91  590.03  590.13  590.26 
##       1       1       1       1       1       1       1       1       1 
##  591.09   591.1  591.51  591.95  592.47  592.94  592.99  594.05  594.46 
##       1       1       1       1       1       1       1       1       1 
##  594.57  594.91  596.97  597.51  597.54  597.92  598.12  598.49  598.94 
##       1       1       1       1       1       1       1       1       1 
##  599.46   599.5  599.65  599.75  599.98  600.12  601.27  602.09  603.21 
##       1       1       1       1       1       1       1       1       2 
##  603.38  603.59   603.8  604.08  604.47  604.58  604.59     606  606.59 
##       1       1       1       1       1       1       1       1       1 
##  606.82  607.07  607.12  607.61  607.86  608.14  608.25  608.46  608.72 
##       1       1       1       1       1       1       1       1       1 
##  609.05  609.26  609.52  609.74  609.75  610.16  610.83  610.89  610.93 
##       1       1       1       1       1       1       1       1       1 
##  611.09  611.19  611.84  611.95  612.05  612.24  612.57  612.85  613.81 
##       1       1       1       1       1       1       1       1       1 
##  613.82     614  614.48  614.54  615.14  615.24  615.88  617.91  618.46 
##       1       1       1       1       1       1       1       1       1 
##   619.2  619.85  620.43  621.32     622  622.39  623.09  624.09   624.3 
##       1       1       1       1       1       1       1       1       1 
##  624.43  624.72   625.1  625.14  626.12  626.29   626.7  626.83     627 
##       1       1       1       1       2       1       1       1       1 
##  627.34  627.73  628.56  628.77  628.82  629.17  629.21  629.33  631.77 
##       1       1       1       1       1       1       1       1       1 
##  631.92  632.09  632.68  633.22  634.09  634.73  635.14  636.66  637.16 
##       1       1       1       1       1       1       1       1       1 
##  637.52  638.11  638.42  638.65  638.83  638.87  639.14  639.53  639.91 
##       1       1       1       1       1       1       1       1       1 
##  640.74  641.28  641.34  642.08   642.1  642.33   642.9  643.95   644.2 
##       1       1       1       1       1       1       1       1       1 
##  644.68  644.76  645.15  645.76  648.03  648.43  650.77  652.29  654.27 
##       1       1       1       1       1       1       1       1       1 
##  655.27  655.28  656.23  656.37  656.68  656.94  656.95  657.04  657.25 
##       1       1       1       1       1       1       1       1       1 
##  657.46   657.6   657.7   657.8  657.86  657.99   658.2  658.22  658.88 
##       1       1       1       1       1       1       1       1       1 
##  659.25  659.62  659.63  661.13  661.37  661.83  661.84   662.9  663.11 
##       1       1       1       1       1       1       1       1       1 
##  663.53  664.42   665.1  665.34   665.5  665.98  666.22  666.38  666.46 
##       1       1       1       1       1       1       1       1       1 
##  666.58  666.71  666.74  667.08  668.56   668.7  669.77  671.51   672.9 
##       1       1       1       1       1       1       1       1       1 
##  672.93  673.28  674.11  674.28  675.26   675.4  678.67  679.32  679.73 
##       1       1       1       1       1       1       1       1       1 
##  680.91  681.55  681.73   681.9  682.37  682.43   682.7  683.49  683.66 
##       1       1       1       1       1       1       1       1       1 
##  684.39  684.84  686.15  688.59  690.44  691.72  691.73  696.22   696.3 
##       1       1       1       1       1       1       1       1       1 
##  702.91   703.7  703.71  703.78   704.5  704.97  705.26  706.28  706.93 
##       1       1       1       1       1       1       1       1       1 
##  707.23  707.51  709.29  710.74  712.27  712.46  712.99  714.12  714.26 
##       1       1       1       1       1       1       1       1       1 
##  715.72     716  717.15  718.32   720.4  721.82  723.02  729.16   733.4 
##       1       1       1       1       1       1       1       1       1 
##  735.88  736.45  737.47  738.01  739.02  740.05  740.83  741.65  741.72 
##       1       1       1       1       1       1       1       1       1 
##  742.21  745.77  746.83  747.06  747.62  747.93  748.61  752.25  752.88 
##       1       1       1       1       1       1       1       1       1 
##  753.87  754.83  755.48  755.64  756.24  758.27  760.58  764.08  765.62 
##       1       1       1       1       1       1       1       1       1 
##   766.6  766.62  771.54  773.47  773.72  773.87  774.53   774.7   774.8 
##       1       1       1       1       1       1       1       1       1 
##  775.35  775.36  777.09  777.51  777.75  777.99  778.25  780.85   781.3 
##       1       1       1       1       1       1       1       1       1 
##  781.43  781.92  782.03   783.2  785.03  788.46  792.51  793.61  794.74 
##       1       1       1       1       1       1       1       1       1 
##  801.34  802.51  806.11  807.36  810.68  819.81  820.31  822.43  823.31 
##       1       1       1       1       1       1       1       1       1 
##  826.25  826.48     829   830.5  831.87   832.5  834.15  834.28  834.53 
##       1       1       1       1       1       1       1       1       1 
##  835.09  836.87  837.32  840.17  841.49  842.91  844.72  844.97  851.57 
##       1       1       1       1       1       1       1       1       1 
##  853.52  854.64  855.69  859.51  861.29  861.45  864.36  866.16  870.15 
##       1       1       1       1       1       1       1       1       1 
##  870.68  870.96  871.19  872.81  875.78   881.2  882.25  886.16  886.39 
##       1       1       1       1       1       1       1       1       1 
##     893  897.02   899.4  899.65  901.94  903.25  904.61  904.65  908.59 
##       1       1       1       1       1       1       1       1       1 
##  910.56  913.18  913.69  914.87   917.5  919.33  919.45  921.48  921.93 
##       1       1       1       1       1       1       1       1       1 
##  923.05  923.22  923.42  923.48  923.91  924.14  925.12  927.37  928.27 
##       1       1       1       1       1       1       1       1       1 
##  928.52  928.54  937.52  940.05  941.79  942.72   952.4  963.74  965.74 
##       1       1       1       1       1       1       1       1       1 
##  972.02  972.53  975.76  975.92   979.4  989.11  997.23   998.9 1001.58 
##       1       1       1       1       1       1       1       1       1 
## 1001.96  1002.1 1003.08 1004.76 1007.96 1008.84 1009.29 1011.51 1013.52 
##       1       1       1       1       1       1       1       1       1 
## 1017.12 1031.39 1033.37 1033.87 1040.47 1042.38 1043.63 1044.08 1044.64 
##       1       1       1       1       1       1       1       1       1 
##  1045.9  1046.4 1046.81 1049.29 1053.17 1055.13 1055.42 1056.81 1058.01 
##       1       1       1       1       1       1       1       1       1 
##  1061.1 1061.93 1063.03 1064.65 1069.91 1074.92 1077.56 1078.97 1080.49 
##       1       1       1       1       1       1       1       1       1 
## 1088.99 1091.72    1096 1107.59 1114.07 1117.25 1120.65 1122.43 1125.39 
##       1       1       1       1       1       1       1       1       1 
## 1133.08 1135.09 1146.97 1151.74 1154.36 1156.12 1156.14 1156.44 1159.42 
##       1       1       1       1       1       1       1       1       1 
## 1167.47 1174.85 1176.62 1180.16 1181.98 1184.98 1186.58 1187.22    1188 
##       1       1       1       1       1       1       1       1       1 
## 1188.37 1190.34  1190.8  1191.1 1193.25 1193.83  1194.9 1197.21 1197.46 
##       1       1       1       1       1       1       1       1       1 
## 1200.39 1205.89 1207.14 1208.07 1215.51 1217.57  1222.5 1226.98 1232.16 
##       1       1       1       1       1       1       1       1       1 
##  1232.2 1235.56 1235.94 1237.37 1240.79 1244.81 1250.94 1251.61 1257.98 
##       1       1       1       1       1       1       1       1       1 
## 1262.13 1267.29 1267.58 1270.47 1275.55    1276  1279.4 1280.31 1294.83 
##       1       1       1       1       1       1       1       1       1 
##  1319.7  1327.2 1331.28 1347.91 1434.32  1473.9 1492.77  1578.8 1596.72 
##       1       1       1       1       1       1       1       1       1 
## 1608.91 1618.03 1723.35 1785.94 1788.44  1812.8 1812.99 1831.42 1833.49 
##       1       1       1       1       1       1       1       1       1 
## 1856.15 1864.05 1873.93 1904.48 2004.52 2058.77 2084.73 2119.08 2230.49 
##       1       1       1       1       1       1       1       1       1 
## 2231.14  2260.2 2267.34 2301.96  2303.9 2307.05 2311.08 2320.82 2363.25 
##       1       1       1       1       1       1       1       1       1 
## 2387.61 2397.17 2413.47 2423.71 2425.22 2448.39 2488.55 2514.28 2515.27 
##       1       1       1       1       1       1       1       1       1 
## 2523.72 2534.71 2537.16 2539.92 2552.45 2559.25 2571.34 2573.79 2581.91 
##       1       1       1       1       1       1       1       1       1 
## 2585.89 2588.83    2595 2603.98 2610.76 2615.25 2616.72 2622.65 2631.59 
##       1       1       1       1       1       1       1       1       1 
## 2635.49  2662.1 2662.85 2682.26 2685.19 2686.81 2693.32 2723.74 2757.94 
##       1       1       1       1       1       1       1       1       1 
## 2758.53 2762.53 2763.45 2763.71 2765.17 2768.08 2772.01 2777.26 2786.83 
##       1       1       1       1       1       1       1       1       1 
## 2789.04 2808.76 2813.31  2815.3 2832.18 2838.41 2862.42 2869.38 2889.62 
##       1       1       1       1       1       1       1       1       1 
## 2897.45 2899.33  2900.7 2901.71 2916.14 2921.35 2950.99  2996.6 2997.26 
##       1       1       1       1       1       1       1       1       1 
## 2999.91 3290.01 3293.29 3397.68 3422.76 3453.45 3484.85 3664.81 3679.72 
##       1       1       1       1       1       1       1       1       1 
## 3733.45 3758.27 3796.15 3808.84 3819.21 3916.42  3920.6 3949.92 3950.25 
##       1       1       1       1       1       1       1       1       1 
## 3969.89 4031.39 4079.23 4094.07 4109.14 4128.76 4131.98 4196.29 4208.39 
##       1       1       1       1       1       1       1       1       1 
## 4210.05 4214.63 4243.26 4245.44 4255.78 4261.67 4279.31 4308.82 4325.13 
##       1       1       1       1       1       1       1       1       1 
## 4344.65 4352.31 4358.43 4362.64 4370.13 4376.39 4379.28 4381.23 4403.74 
##       1       1       1       1       1       1       1       1       1 
## 4403.93 4413.27 4416.59 4427.84 4432.47 4443.88  4455.7 4455.97 4470.23 
##       1       1       1       1       1       1       1       1       1 
##  4484.7 4591.63 4617.25 4624.14 4625.68 4626.52 4655.04    4661 4714.08 
##       1       1       1       1       1       1       1       1       1 
## 4736.05 4873.73 4878.71 4892.01 4922.17 4975.04 5446.91 5603.82 5744.35 
##       1       1       1       1       1       1       1       1       1 
## 5754.33 5776.23 5800.35  5837.7  5840.3 5852.48 5876.72 5935.52  5976.8 
##       1       1       1       1       1       1       1       1       1 
## 5988.39 6060.11 6075.59 6076.26 6194.88 6214.99 6255.71 6470.43 6625.05 
##       1       1       1       1       1       1       1       1       1 
## 6764.98 6767.31 6811.19 6873.15 7253.32    7312 7342.25 7367.33 7445.77 
##       1       1       1       1       1       1       1       1       1 
## 7446.83 7461.29 7492.86 7617.48 7776.42 7884.99 7967.38 8004.59 8101.91 
##       1       1       1       1       1       1       1       1       1 
##  8267.4 8302.26 8336.86 8348.66 8374.16 8790.92 9522.93 9818.35 10125.7 
##       1       1       1       1       1       1       1       1       1 
##   10801 11046.7 11320.2 11517.4 11657.2 11858.7   12032 14369.1 15850.6 
##       1       1       1       1       1       1       1       1       1 
##   16783 17085.8 17513.9 17653.1 17781.8 17899.7 18154.1 18353.4   19371 
##       1       1       1       1       1       1       1       1       1 
## 19716.7   20089 
##       1       1

low

mytable <- with(btc.df, table(low))
options(max.print=1000000)
mytable
## low
##   65.53   66.62   66.82      72   72.52    72.6    76.2   76.98    79.1 
##       1       1       1       1       1       1       1       1       1 
##   85.08    86.2    86.3   87.51    87.8      88   88.06   88.17    88.5 
##       1       1       1       1       1       1       1       1       1 
##   89.27   90.08    91.6   92.28   92.33    92.5   92.86      93   93.11 
##       1       1       1       1       1       1       1       3       1 
##   93.87      94   94.22      95      96   96.14   96.18    97.7      98 
##       1       1       1       1       1       1       1       1       2 
##   98.45   98.95      99  100.47  100.53  100.98  101.01  101.03   101.1 
##       1       1       1       1       1       1       1       1       1 
##  101.21  101.26  101.94     102  102.25  102.41  102.75  102.79  103.01 
##       1       1       1       1       1       1       1       1       1 
##   103.5  103.52  103.88     104  104.65     105  105.56  105.75  106.23 
##       2       1       1       1       1       1       1       1       1 
##  106.42  106.64  106.73  106.75  107.14   107.3   107.5  107.51  107.69 
##       1       1       1       1       1       1       1       1       1 
##  107.72     108  108.22  108.52     109  109.26   109.6  110.25  111.55 
##       1       1       1       1       1       1       1       1       1 
##  111.77  111.82     112   112.2  113.01  113.44   114.5  115.05     116 
##       1       1       1       1       1       1       1       1       1 
##  116.57  117.25  117.51  118.02  118.44  118.46   119.1  119.15  119.17 
##       1       1       1       1       1       1       1       1       1 
##  119.57  119.68  119.75   119.9  119.93  120.07  120.12  120.49   120.6 
##       1       1       1       1       1       1       1       1       1 
##  120.99  121.21  121.83     122  122.21   122.3  122.62   123.1  123.27 
##       1       1       1       1       1       1       1       1       1 
##  123.41  123.61   124.7  124.71  124.89  125.39  125.58   125.6  125.66 
##       1       1       1       1       1       1       1       1       1 
##  125.72   125.9  126.15  126.24  126.36   126.4  126.59  126.68     127 
##       1       1       1       1       1       1       1       1       1 
##   127.2  127.32  127.33  127.66  128.03  128.26  128.45  128.49  128.87 
##       1       1       1       1       1       1       1       1       1 
##   128.9  129.26  129.64  129.77  130.27  130.54  130.56  130.62  131.55 
##       1       1       1       1       1       1       1       1       1 
##  131.81   132.1  132.27  132.56  132.72     133     134  134.05  134.55 
##       1       1       1       1       1       1       1       1       1 
##  134.71  134.81  134.89   138.9  139.13  142.41  142.43  145.57   155.7 
##       1       1       1       1       1       1       1       1       1 
##   168.5  168.52  168.95  171.51   174.8  175.75   176.6   176.9  182.65 
##       1       1       1       1       1       1       1       1       1 
##  192.06  192.38  194.51  194.88  198.55  198.85  199.57  199.77  199.97 
##       1       1       1       1       1       1       1       1       1 
##  201.65  202.13  203.99  205.15  207.32  210.44  211.08  211.21  212.01 
##       1       1       1       1       1       1       1       1       1 
##  213.94  214.72  214.87  215.33  216.23  216.31  216.32  217.02  217.61 
##       1       1       1       1       1       1       1       1       1 
##  218.02  218.07  218.65  219.91   220.2  220.71  220.88  220.93  221.08 
##       1       1       1       1       1       1       1       1       1 
##  221.11  221.26   221.3  221.94  221.98     222  222.37  222.42  222.61 
##       1       1       1       1       1       1       1       1       1 
##  222.65  222.66   222.7  222.77  222.84  223.07  223.18  223.43  223.68 
##       1       1       1       1       1       1       1       1       1 
##  223.92  223.93  224.05   224.3  224.38  224.48  224.99  225.12   225.2 
##       1       1       1       1       1       1       1       1       1 
##  225.58  225.84  225.91  226.22  226.25  226.34  226.43  226.47  226.52 
##       1       1       1       1       1       1       1       1       1 
##  226.67  226.86   226.9  227.05  227.33   227.4  227.68  227.93  227.96 
##       1       1       1       2       1       1       1       1       1 
##  228.01  228.57  228.77  228.93  229.02  229.21  229.23  229.31  229.33 
##       1       1       1       1       1       1       1       1       1 
##  229.44  229.54  229.59  229.82  229.93  230.02  230.29  230.91  231.09 
##       1       1       1       1       1       1       1       1       1 
##  231.72  231.82  231.84     232  232.05  232.08  232.19  232.31  232.34 
##       1       1       1       1       2       1       1       1       2 
##  232.42  232.46  232.47  232.48  232.77   233.2  233.36  233.42  233.48 
##       1       1       1       1       1       1       1       1       1 
##   233.5  233.68  233.84  233.85  234.06  234.08  234.18  234.26  234.68 
##       1       1       1       1       1       1       1       1       1 
##  234.75  235.04  235.06  235.29  235.53  235.59  235.62  235.63  235.69 
##       1       1       1       1       2       1       1       1       1 
##  235.73  235.79  235.93  236.01  236.12  236.27   236.4  236.44  236.51 
##       1       1       1       1       1       1       1       1       1 
##   236.6  236.64  236.65  236.69  236.79  236.94  237.03  237.81  237.82 
##       1       1       1       1       1       1       1       1       1 
##  237.94  238.33  238.69  238.72  238.81  238.85  239.21   239.3  239.38 
##       1       1       1       1       1       1       1       1       1 
##   239.4  239.64  239.68   240.1  240.14  240.37  240.51  240.63  240.85 
##       1       1       1       1       1       1       1       1       1 
##  241.16  241.55  241.88  242.12  242.18  242.59  242.74  243.07  243.12 
##       1       1       1       1       1       1       1       1       1 
##  243.13  243.18  243.76  243.78  243.79  243.89  244.13  244.15  244.16 
##       1       1       1       1       1       1       1       1       1 
##  244.22  244.78  244.91  245.18  245.21  245.42  245.93  246.48  246.97 
##       1       1       1       1       1       1       1       1       1 
##  247.43  248.58  248.64   248.9  249.48  249.87  250.65   251.1  251.88 
##       1       1       1       1       1       1       1       1       1 
##  251.94  252.05  252.21   253.5  253.93  254.08  254.12   254.2  254.57 
##       1       1       1       1       1       1       1       1       1 
##  255.65  255.77  255.95  257.04  257.12  257.61  258.31   258.7  259.16 
##       1       1       1       1       1       1       1       1       1 
##  259.59  260.47  260.71  260.78  260.95   261.3  261.48  261.55  261.75 
##       1       1       1       1       1       1       1       1       1 
##  262.37   262.6  262.84  263.23  263.84  264.09  264.39  264.77  264.83 
##       1       1       1       1       1       1       1       1       1 
##  265.04  265.08   265.2  265.47  266.13  267.09   267.6  268.13  268.16 
##       1       1       1       1       1       1       1       1       1 
##   268.8  270.01  270.13  272.04  272.51  272.56   272.7  272.96  273.54 
##       1       1       1       1       1       1       1       1       1 
##  273.89  273.97  274.07  274.38  275.24  275.25  275.42  275.72  276.37 
##       1       1       1       1       1       1       1       1       1 
##   276.5  277.24  277.53  278.11   278.4  280.23  280.51  280.53  280.98 
##       1       1       1       1       1       1       1       1       1 
##     281  281.01  281.08  281.23  281.44  281.49  282.18  282.34  283.08 
##       1       1       1       1       1       1       1       1       1 
##  283.53  284.37  285.01  285.34  285.37  285.69     286  286.57  286.64 
##       1       1       1       1       1       1       1       1       1 
##  287.45  287.71  288.78   289.3  289.74  290.51  292.41   292.5  293.42 
##       1       1       1       1       1       1       1       1       1 
##   293.7  296.93     301  301.82  302.56  304.23  306.77  309.25  309.37 
##       1       1       1       1       1       1       1       1       1 
##  310.21  311.08  311.78  311.88  312.22  312.31  312.63  313.36  313.56 
##       1       1       1       1       1       1       1       1       1 
##  313.94     314  315.15   315.9  316.04  316.63  316.77  316.96  317.49 
##       1       1       1       1       1       1       1       1       1 
##  318.12   318.9   319.6  319.71  320.43  320.48  320.63  321.06  321.26 
##       1       1       1       1       1       1       1       1       1 
##  321.29  321.36  323.21  325.08  325.27  325.48  325.89  326.07  327.06 
##       1       1       1       1       1       1       1       1       1 
##  327.19  328.23  329.11   329.6  329.61  329.97  330.64  330.68  335.07 
##       1       1       1       1       1       1       1       1       1 
##  335.34  337.14  338.42  338.76  341.78  342.15   342.8  342.88  343.93 
##       1       1       1       1       1       1       1       1       1 
##  344.11  344.25  344.93  344.95  345.42  346.37  346.59  347.69  347.87 
##       1       1       1       1       1       1       1       1       1 
##  349.29  349.46  349.81  350.88  351.27  352.17  352.68  352.96  353.18 
##       1       1       1       1       1       1       1       1       1 
##  353.31  354.02  354.91  355.67  355.76  355.95  356.14  356.45  356.56 
##       1       1       1       1       1       1       1       1       1 
##  356.78  357.41  357.56  357.65  357.86  358.45  358.73   359.8  361.89 
##       1       1       1       1       1       1       1       1       1 
##  362.89  363.23  363.74  364.33  365.45  365.76  365.82  366.67  367.76 
##       1       1       1       1       1       1       1       1       1 
##  367.83  367.96  367.99  368.05  368.28   368.7   368.9  369.99  370.38 
##       1       1       1       1       1       1       1       1       1 
##  370.94  371.01  371.12  372.14  372.24  372.39  372.43   372.9  372.92 
##       1       1       1       1       1       1       1       1       1 
##  372.95  373.07  373.27  373.31  373.33  373.44   373.9  374.33  374.35 
##       1       1       1       1       1       1       1       1       1 
##  374.58   374.6  374.78   374.9  375.28  375.39  375.78   376.4  376.49 
##       1       1       1       1       1       1       1       1       1 
##   376.6  376.67   377.5  377.86  378.25  378.97   379.6  379.74  380.09 
##       1       2       1       1       1       2       1       1       1 
##  380.55  380.78  380.83  381.98  382.25  384.53  384.64  384.79  385.41 
##       1       1       1       1       1       1       1       1       1 
##  385.57  386.46  387.09  387.51  388.55  388.77  389.88  389.95  390.57 
##       1       1       1       1       1       1       1       1       1 
##  391.32  391.78  392.93  393.18  394.04  395.19  395.25  395.78  396.11 
##       1       1       1       1       1       1       1       1       1 
##   396.2  397.13  397.37  397.75  400.01  401.12  401.43  405.76  406.14 
##       1       1       1       1       1       1       1       1       1 
##  406.29   406.3  406.31  406.78  407.23  407.37  408.88  409.47  410.09 
##       1       1       1       1       1       1       1       1       1 
##  410.38   410.4  410.74  410.94  411.09  411.55  411.61  411.64   412.5 
##       1       1       1       1       1       1       1       1       1 
##  412.53  412.68   413.1  413.25  413.91   414.2  414.89  414.99  415.26 
##       1       1       1       1       1       1       1       1       1 
##  415.28  415.49  415.56  415.57  415.64  415.79  415.83  415.91  416.26 
##       1       1       1       1       1       1       1       1       1 
##  416.51  417.01  417.36   417.6  417.71  417.82  417.89  418.42  418.48 
##       1       1       1       1       1       1       1       1       1 
##  418.74  419.26  419.41   419.6  419.63   419.7  420.41  420.42  420.51 
##       1       1       1       1       1       1       1       1       1 
##  420.52  420.53  420.61  420.63  421.13   421.6  421.62  422.08  422.73 
##       1       1       1       1       1       1       1       1       1 
##  422.84  422.92  422.94  423.01  423.25  423.29  423.82  423.99  424.43 
##       1       1       1       1       1       1       1       1       1 
##  424.44  424.71  426.08  426.27  426.34  427.09  427.31  427.51  427.62 
##       1       1       1       1       1       1       1       1       1 
##  427.85   428.1  428.45  428.98  429.08  429.09  429.68  430.05  430.46 
##       1       2       1       1       3       1       1       1       1 
##  430.68  431.27  431.69  431.87  432.32  432.92   433.4  434.23  434.34 
##       1       1       1       1       1       1       1       1       1 
##  434.41  435.18  435.52  435.69  436.39  436.62  436.65   436.7  436.97 
##       1       1       1       1       1       1       1       1       1 
##  437.39  438.14  438.71  438.82  439.04  440.14  440.24  440.35   440.5 
##       1       1       1       1       1       1       1       1       1 
##  440.95  441.71  441.78  441.93  442.62  442.95  443.08   443.1  443.37 
##       1       1       1       1       1       1       1       1       1 
##   443.4  443.63  443.85  443.86  443.88  443.93  444.13  444.15  444.18 
##       1       1       2       1       1       1       1       1       1 
##   444.2  444.33  444.78  444.96  445.12  445.63  445.88  446.01  446.02 
##       1       1       1       1       1       1       1       1       1 
##  446.06  446.11  446.89  447.07   447.3  447.63   447.7   447.9  447.93 
##       1       1       1       1       1       1       1       1       1 
##  447.94  448.45  448.47  448.86  448.93  448.95   449.1  449.25  450.86 
##       1       1       1       1       1       1       1       1       1 
##  452.07  452.42  452.94  452.97   453.3  453.45  453.52  453.54  453.59 
##       1       1       1       1       1       1       1       1       1 
##  453.61  454.79  454.94  455.46  455.54  455.98  456.39  456.53  456.76 
##       1       1       1       1       1       1       1       1       1 
##     457  457.32  461.62  465.13  467.51  467.78  468.79  470.56  471.24 
##       1       1       1       1       1       1       1       1       1 
##  471.91  472.32   472.7  472.74  473.01  473.23  474.02  474.61  474.81 
##       1       1       1       1       1       1       1       1       1 
##   475.1  475.14  476.12  476.21  477.09  481.61  482.28  482.95     483 
##       1       1       1       1       1       1       1       1       1 
##  483.49  483.63  484.87  485.82  487.58  487.74  487.93  489.73  490.19 
##       1       1       1       1       1       1       1       1       1 
##  490.84  492.11   493.2  494.94  497.35  498.73  499.23  501.27  501.64 
##       1       1       1       1       1       1       1       1       1 
##  502.54  502.78  502.89  503.82  506.88  510.45  510.92  512.18  516.28 
##       1       1       1       1       1       1       1       1       1 
##  520.08  520.66  522.96  525.23  525.64  530.47  531.33  532.58  532.67 
##       1       1       1       1       1       1       1       1       1 
##  533.08  536.92   538.7  539.29  541.04  541.55  545.17  549.82   550.5 
##       1       1       1       1       1       1       1       1       1 
##  551.77  553.27  554.39  554.43  554.89  556.14  558.14  558.58  560.52 
##       1       1       1       1       1       1       1       1       1 
##  560.88   561.6  561.81  563.24  564.09  564.24  564.51  564.73  564.78 
##       1       1       1       1       1       1       1       1       1 
##   564.9  565.33  565.63  565.78   566.6  566.62  566.72  567.51  568.16 
##       1       1       1       1       1       1       1       1       1 
##  568.63  569.18  569.47  569.74  569.98  570.81  570.95  570.96  571.43 
##       1       1       1       1       1       1       1       1       1 
##  571.81  572.61  573.13  573.27  573.33  573.43  573.47  573.64  574.05 
##       1       1       1       1       1       1       1       1       1 
##  574.06  574.11  574.18   574.6  575.17  575.18  575.46  576.86  577.29 
##       1       1       1       1       1       1       1       1       1 
##  578.67  579.17  579.86  579.88  580.22  580.59  581.63  581.65   581.7 
##       1       1       1       1       1       1       1       1       1 
##  582.36   583.1  583.63  583.74  583.81  584.05   584.1  584.17  584.79 
##       1       1       1       1       1       1       1       1       1 
##  584.98  585.64   585.7  586.15  586.34  586.37  586.82  587.07  587.48 
##       1       1       1       1       1       1       1       1       1 
##  587.49  587.63  587.74  587.76  587.94  588.05  588.79  589.12   590.4 
##       1       1       1       1       1       1       1       1       1 
##  593.43  593.96  594.63  595.33  595.57  595.79  595.88  595.92  596.16 
##       1       1       1       1       1       1       1       1       1 
##  596.21  596.85  597.02  597.23   599.7  599.71  599.88  600.35  600.51 
##       1       1       1       1       1       1       1       1       1 
##  601.91  602.04  602.24   603.8  604.11  604.14   604.4  604.46  604.47 
##       1       1       1       1       1       1       1       1       1 
##  604.61  604.85  605.09  605.19  605.41  605.86  605.88  606.74  606.92 
##       1       1       1       1       1       1       1       1       1 
##  607.04  607.15  607.31  607.94  608.27   608.4  608.41  608.51   609.1 
##       1       1       1       1       1       1       1       1       1 
##  609.48  609.62  609.68  609.93  610.46  611.04  611.47  611.82  611.83 
##       1       1       1       1       1       1       1       1       1 
##  612.35  612.54  613.84  615.02  615.33  615.77   616.2  616.35  616.61 
##       2       1       1       1       1       1       1       1       1 
##  616.86  616.93  617.01  617.32  617.34  618.29   618.5   618.7  618.75 
##       1       1       1       1       1       1       1       1       1 
##  618.84  619.11  619.63  619.91  620.26  620.47  620.52  620.91  620.96 
##       1       1       1       1       1       1       1       1       1 
##  622.39   622.6  622.77  624.09  624.37   624.6  624.91  625.27  626.98 
##       1       1       1       1       1       1       1       1       1 
##  627.21   627.3     628  628.01  628.11  628.26  628.28   629.4  629.51 
##       1       1       1       1       1       1       1       1       1 
##  630.69  630.85  630.88  631.16  632.55  632.84  632.85   633.4  635.03 
##       1       1       1       1       1       1       1       1       1 
##  635.97     636  636.47  636.61  636.66  637.01  637.39  637.77  638.34 
##       1       1       1       1       1       1       1       1       1 
##  638.66   638.9  639.07  640.09  640.11  640.22  641.26   641.3  643.04 
##       1       1       1       1       1       1       1       1       1 
##  644.39  644.91  644.98  645.71  645.88  646.28  646.56  646.72  646.78 
##       1       1       1       1       1       1       2       1       1 
##  648.45  648.52  649.01  649.48  649.79  650.51  650.78   652.3   652.6 
##       1       1       1       1       1       1       1       1       1 
##  652.79  652.92  653.39  653.47   653.7  653.89  654.21  654.35  654.47 
##       1       1       1       1       1       1       1       1       1 
##  654.49  654.79  655.25  655.68  657.68  659.04  659.33  660.41  661.87 
##       1       1       1       1       1       1       1       1       1 
##  661.99   662.8  663.36  664.49  665.07  667.63  668.13  668.25  668.63 
##       1       1       1       1       1       1       1       1       1 
##  669.59  670.42  670.88  672.56   676.4  678.04  678.16  683.94  684.16 
##       1       1       1       1       1       1       1       1       1 
##  685.56  687.32  690.05  691.68  696.48  696.52  697.74  699.56  699.81 
##       1       1       1       1       1       1       1       1       1 
##   699.9  701.34  702.39  704.03  705.26  705.35  708.61  709.04  711.21 
##       1       1       1       1       1       1       1       1       1 
##   713.6  714.41  714.44  716.56  717.94  722.35  722.87  729.63  730.51 
##       1       1       1       1       1       1       1       1       1 
##  731.09  732.48  732.73  733.49  733.93  734.56  734.59  736.26  736.53 
##       1       1       1       1       1       1       1       1       1 
##  736.89  738.17  738.92  739.51  740.24  744.47  745.63  746.05  751.71 
##       1       1       1       1       1       1       1       1       1 
##  754.43  754.97  755.76  757.11  757.54  758.72  759.75  762.76  764.86 
##       1       1       1       1       1       1       1       1       1 
##  765.41  765.95  766.98  767.21  768.16  769.65  770.04  770.59   771.7 
##       1       1       1       1       1       1       1       1       1 
##  772.91  776.18  776.84   777.8  777.96  778.96     780   780.9  783.58 
##       1       1       1       1       1       1       1       1       1 
##  784.86  788.03  789.12  790.32   791.5  792.96  797.63  799.06   799.4 
##       1       1       1       1       1       1       1       1       1 
##   800.8  801.67  801.82     802  804.14  806.05  807.22  809.85  811.91 
##       1       1       1       1       1       1       1       1       1 
##  812.46   812.6  812.87  816.07  819.32  820.27  820.67  820.94   822.6 
##       1       1       1       1       1       1       1       1       1 
##  823.56     825  825.53  825.66  827.11  829.45   830.8  830.86  834.15 
##       1       1       1       1       1       1       1       1       1 
##  834.23  835.63  837.36  844.86  844.95  851.17  853.87  854.52  855.93 
##       1       1       1       1       1       1       1       1       1 
##   858.3  858.36  860.05  861.72  862.42  864.68  879.81  883.94  884.34 
##       1       1       1       1       1       1       1       1       1 
##  886.34  887.01  887.25  891.68  891.69  892.29  892.32  895.53   896.9 
##       1       1       1       1       1       1       1       1       1 
##  897.11  897.56  901.06  902.22  903.71  904.25  905.71  910.42  915.85 
##       1       1       1       1       1       1       1       1       1 
##  916.74  919.15  919.47  919.81  920.96  934.36  934.83  938.41  946.69 
##       1       1       1       1       1       1       2       1       1 
##  947.24  953.34  954.19   954.5  957.65   958.7  962.17  970.74  971.98 
##       1       1       1       1       1       1       1       1       1 
##     976  976.73  982.83  983.22  986.47   996.7  996.92 1000.64 1001.58 
##       1       1       1       1       1       1       1       1       1 
## 1007.65 1008.79 1011.21 1014.21 1015.16 1015.88 1020.04  1021.6 1022.37 
##       1       1       1       1       1       1       1       1       1 
## 1025.64 1026.64 1027.73 1028.16 1028.93 1036.68 1037.49 1040.14 1041.69 
##       1       1       1       1       1       1       1       1       1 
## 1043.46  1044.4 1046.96 1055.36 1061.09 1070.16 1075.45 1076.93 1077.25 
##       1       1       1       1       1       1       1       1       1 
## 1099.57 1100.55 1102.95 1106.61 1113.63 1116.32 1116.96 1120.52 1124.59 
##       1       1       1       1       1       1       1       1       1 
## 1125.81  1130.2 1131.96 1141.23 1148.08 1152.44 1156.44 1159.79 1162.58 
##       1       1       1       1       1       1       1       1       1 
## 1163.38 1163.39 1164.96 1171.82 1171.86 1172.61 1172.65 1175.36 1179.04 
##       1       1       1       1       1       1       1       1       1 
## 1179.69 1187.46 1193.77 1196.76 1203.94  1204.8 1205.08 1208.41 1208.47 
##       1       1       1       1       1       1       1       1       1 
## 1209.63 1215.56 1215.62 1217.03 1220.72 1230.51 1238.06 1239.75 1249.97 
##       1       1       1       1       1       1       1       1       1 
## 1250.71  1264.6 1265.93  1281.3 1292.37 1314.92 1315.21  1348.3 1415.69 
##       1       1       1       1       1       1       1       1       1 
## 1447.49 1490.72 1530.31  1542.5 1559.76 1596.92 1651.08 1661.91 1686.54 
##       1       1       1       1       1       1       1       1       1 
## 1694.01 1708.54  1716.3  1719.1 1755.35 1776.62 1807.12 1843.03 1855.83 
##       1       1       1       1       1       1       1       1       1 
## 1890.25 1932.62 1974.92 1990.41 2017.87  2037.5 2054.08 2071.99 2107.17 
##       1       1       1       1       1       1       1       1       1 
## 2124.57 2145.57 2164.77  2178.5 2183.22 2212.96 2260.23 2269.89 2275.14 
##       1       1       1       1       1       1       1       1       1 
##  2285.3 2288.33 2296.81 2321.13 2321.37 2332.99 2340.83 2373.32 2376.29 
##       1       1       1       1       1       1       1       1       1 
## 2385.15 2394.84 2412.94 2419.23 2423.57  2450.8 2452.54 2478.43 2480.47 
##       1       1       1       1       1       1       1       1       1 
## 2480.96 2484.42 2484.96 2492.31 2498.87 2510.22 2510.48 2516.33 2517.59 
##       1       1       1       1       1       1       1       1       1 
## 2518.56 2529.34 2538.55 2549.03 2552.12 2559.35 2581.69 2583.19 2589.82 
##       1       1       1       1       1       1       1       1       1 
## 2621.85 2642.36 2644.85 2650.38 2653.94 2657.71  2660.4 2668.59 2670.95 
##       1       1       1       1       1       1       1       1       1 
## 2679.73 2685.14 2685.61 2690.84  2692.8 2699.19 2700.56 2706.37 2720.61 
##       1       1       1       1       1       1       1       1       1 
## 2743.72 2746.55 2795.62 2840.53 2874.83 2946.62 3153.86  3155.6 3180.89 
##       1       1       1       1       1       1       1       1       1 
## 3247.67 3319.47 3345.83 3372.12 3445.64 3487.79 3553.53 3591.09 3594.58 
##       1       1       1       1       1       1       1       1       1 
## 3613.63  3613.7  3666.9 3674.58 3681.58 3789.92 3857.73  3857.8 3868.87 
##       1       1       1       1       1       1       1       1       1 
##  3869.9 3884.82 3906.18 3951.04 3970.55  3988.6 3989.16 3994.42 3998.11 
##       1       1       1       1       1       1       1       1       1 
##  4015.4 4039.29 4069.88 4075.18 4078.41 4085.22  4099.4  4108.4  4109.7 
##       1       1       1       1       1       1       1       1       1 
## 4114.11 4130.26 4160.86 4164.05 4210.42 4224.64 4243.71 4258.89 4269.52 
##       1       1       1       1       1       1       1       1       1 
## 4269.81 4307.35 4317.29 4320.53 4321.05 4352.13 4376.59 4377.46 4405.64 
##       1       1       1       1       1       1       1       1       1 
## 4417.59 4469.24 4471.41 4491.33  4549.4 4564.25 4678.53 4751.63  4765.1 
##       1       1       1       1       1       1       1       1       1 
##    4822 5151.44 5397.88 5436.85 5472.72 5478.61 5504.18 5519.01 5531.06 
##       1       1       1       1       1       1       1       1       1 
## 5544.21 5591.64 5627.23 5689.19 5721.22 5724.58 5728.82 5732.47 5792.34 
##       1       1       1       1       1       1       1       1       1 
## 5844.29 5965.07 6040.85 6103.33 6204.22 6377.88 6436.87 6461.75 6634.76 
##       1       1       1       1       1       1       1       1       1 
## 6758.72 7002.94 7007.31  7023.1 7031.28 7101.52 7114.02 7176.58 7333.19 
##       1       1       1       1       1       1       1       1       1 
## 7463.44 7561.09  7694.1 7762.71 7940.93 7949.36 8038.77 8075.47 8191.15 
##       1       1       1       1       1       1       1       1       1 
## 8775.59 9202.05 9352.72 9601.03 9694.65  9736.3   10862 10905.1 11081.8 
##       1       1       1       1       1       1       1       1       1 
## 11604.6 11923.4 13226.6 13674.9 14057.3 14336.9 15404.8 16039.7 16185.9 
##       1       1       1       1       1       1       1       1       1 
## 16571.6 16601.3 17515.3 18355.9 18974.1 
##       1       1       1       1       1

close

mytable <- with(btc.df, table(close))
options(max.print=1000000)
mytable
## close
##   68.43   70.28   74.56   76.52   76.69   77.53   80.53   86.76   88.05 
##       1       1       1       1       1       1       1       1       1 
##   88.98   89.39   90.13   90.58   90.76   91.61   92.17   93.59   94.12 
##       1       1       1       1       1       1       1       1       1 
##   94.51   94.65   94.69   94.99   95.56   96.02   96.61    96.9   97.45 
##       1       1       1       1       1       1       1       1       1 
##   97.75   98.13    98.4    98.5   99.51   99.76   99.98   99.99     100 
##       1       1       1       1       1       1       1       1       1 
##   101.2  101.44   101.7  102.74   102.8     103  103.95     104   104.5 
##       1       1       1       1       1       2       1       4       1 
##     105  105.14  105.21  106.09  106.22  106.35  106.64  106.75   107.4 
##       1       1       1       1       1       1       1       2       1 
##   107.6  107.99  108.15  108.25   108.3   108.9  108.99     109   109.5 
##       1       1       1       1       2       1       1       1       1 
##  109.99  110.15   111.5   112.3   112.5  112.56  112.67   113.5  113.57 
##       1       1       3       1       1       1       1       2       1 
##  114.13  114.22     115  115.24  115.91  116.99   117.2  117.98     118 
##       1       1       1       1       1       1       1       1       1 
##   118.5  118.76     119  119.15  120.05  120.06  121.15   121.2  121.42 
##       1       1       1       1       1       1       1       1       1 
##  121.65  121.66  121.99     122  122.11  122.22  122.29  122.39  122.62 
##       1       1       1       1       1       1       1       1       1 
##  122.88  123.02   123.3   123.5  123.63  123.89  124.15  125.91  125.95 
##       1       1       1       1       1       1       1       1       1 
##     126  126.43   126.5   126.7  126.74  126.94  127.04  127.11  127.25 
##       1       1       1       1       1       1       1       1       1 
##  127.43  128.22  128.38  128.55   128.8     129  129.01  129.12  129.22 
##       1       1       1       1       1       3       1       1       1 
##   129.3  129.65  129.75  130.37  130.59  130.69   130.9  131.47  131.66 
##       1       1       1       1       1       1       1       1       1 
##  131.72  131.98  132.18   132.3     133  133.13   133.2  133.48  133.49 
##       1       1       1       1       1       1       1       1       1 
##  133.78  134.21  134.78  134.98  135.19  135.25  135.35  135.85  136.77 
##       1       1       1       1       1       1       1       1       1 
##  137.34  138.13  138.34     139  140.52  142.55  144.54  145.24  146.25 
##       1       1       1       1       1       1       1       1       1 
##  155.96  172.42  174.61  177.32   178.1  182.21  186.69  193.76  196.44 
##       1       1       1       1       1       1       1       1       1 
##  198.23  198.55  199.26  199.97     204  204.39  206.18  206.22   208.1 
##       1       1       1       1       1       1       1       1       1 
##  209.84  210.34   210.5  211.08  211.31  213.62  214.86  215.05  217.11 
##       1       1       1       1       1       1       1       1       1 
##  217.46  219.16  219.19  219.43  219.84  220.11  221.61  221.76  222.27 
##       1       1       1       1       1       1       1       1       1 
##   222.6  222.88  222.93  223.36  223.41  223.83  224.32  224.59  224.63 
##       1       2       1       1       1       1       1       1       1 
##  224.77  224.95  225.62   225.8  225.81  225.83  225.85  225.86  225.87 
##       1       1       1       1       1       1       1       1       1 
##  226.39  226.43  226.68  226.85   226.9  226.97  227.09  227.18  227.27 
##       1       1       1       1       1       1       1       1       1 
##  227.75  228.12  228.17  228.49  228.57  228.76   228.8  229.05  229.09 
##       1       1       1       1       1       1       1       1       1 
##   229.1  229.28  229.29  229.71  229.78  229.81  229.98  230.06  230.19 
##       1       1       1       1       2       1       1       1       1 
##  230.28   230.3  230.39  230.51  230.62  230.64  231.21  231.27   231.4 
##       1       2       1       1       1       1       1       1       1 
##  231.49  231.95  232.08   232.4  232.57  232.76  232.88  232.97  233.13 
##       1       1       1       1       1       1       1       1       1 
##  233.34  233.41  233.51  233.54  233.84  233.91  234.02  234.18  234.34 
##       1       1       1       1       1       1       1       1       1 
##  234.53  234.82  234.93  235.02  235.14  235.23  235.27  235.34  235.35 
##       1       1       1       1       1       1       1       1       1 
##  235.43  235.98  236.06  236.07  236.12  236.15  236.33  236.38  236.43 
##       1       1       1       1       1       3       1       1       1 
##  236.46  236.55  236.69   236.8  236.82  236.93   237.1  237.11  237.12 
##       1       1       1       1       1       1       1       1       1 
##  237.28  237.29  237.33  237.41  237.47  237.55   237.6  238.17  238.23 
##       1       1       1       1       1       1       1       1       1 
##  238.26  238.48  238.73  238.74  238.87  238.89  239.02  239.14  239.84 
##       1       1       1       1       1       1       1       1       1 
##  239.85  240.11  240.28   240.3  240.35  240.36  240.38  240.51  240.95 
##       1       1       1       1       1       1       1       1       1 
##  241.11  241.83  242.16   242.3  242.71   242.8  242.97  243.59  243.61 
##       1       1       1       1       1       1       1       1       2 
##  243.68  243.78  243.86  243.93  243.94  244.22   244.3  244.53  244.61 
##       1       1       1       1       1       1       1       1       1 
##  244.94  245.02  245.21  245.24  245.31  245.59  246.06   246.2  246.99 
##       1       1       1       1       1       1       1       1       1 
##  247.03  247.05  247.27  247.53  247.85  248.53  249.01  249.28  249.51 
##       1       1       1       1       1       1       2       1       1 
##   250.9  250.99  251.99   252.8     253  253.18   253.7  253.72  253.83 
##       1       1       1       1       1       1       1       1       1 
##  254.26  254.32  255.41  255.49   256.3  256.34  257.06  257.32  257.98 
##       1       2       1       1       1       1       1       1       1 
##  258.51  258.62  260.02   260.2   260.6  260.89  260.93     261  261.55 
##       1       1       1       1       1       1       1       1       1 
##  261.64  261.75   262.5  262.87  263.07  263.44  263.48  264.08  264.19 
##       1       1       1       1       1       1       1       1       1 
##  264.47  265.08  265.66  265.68  266.21  266.27  266.38  266.74   267.8 
##       1       1       1       1       1       1       1       1       1 
##  267.96  269.03  269.23  269.46  270.39  270.64  270.79  271.91  272.72 
##       1       1       1       1       1       1       1       1       1 
##  273.09  273.47  273.61  274.02  274.35  274.47   274.8   274.9  275.67 
##       1       1       1       1       1       1       1       1       1 
##  275.83  276.05  276.18  276.26   276.5  277.22  278.09  278.58  278.98 
##       1       1       1       1       1       1       1       1       1 
##  279.47  279.58  281.08  281.23   281.6  281.65   281.7  281.88  282.61 
##       1       1       1       1       1       1       1       2       1 
##  283.35  283.68  284.65  284.89  285.22   285.3  285.34   285.5  285.83 
##       1       1       1       1       1       1       1       1       1 
##  286.19  286.39  287.46  287.72  288.28   288.7  289.59  289.61  290.41 
##       1       1       1       1       1       1       1       1       1 
##  290.59  291.76  292.05  292.69  293.12  293.62  293.79  294.34  294.35 
##       1       1       1       1       1       1       1       1       1 
##  294.43  296.38  296.41  304.62  310.74  310.87  311.08   311.4  312.67 
##       1       1       1       1       1       1       1       1       1 
##  313.86  314.17  314.25  315.03  315.86  317.24  317.84  319.01  319.78 
##       1       1       1       1       1       1       1       1       1 
##  320.05  320.17  320.19  320.51  320.84  322.02  322.53  323.05  324.54 
##       1       1       1       1       1       1       1       1       1 
##  325.43  325.75  325.89  326.15  326.62  326.93  327.06  327.55  327.92 
##       1       1       1       1       1       1       1       1       1 
##  328.01  328.21  328.87  329.96  330.08  330.49  330.75  331.89  332.91 
##       1       1       1       1       1       1       1       1       1 
##  334.57  334.59  335.09  335.59  336.19  336.75  336.82  338.11  338.15 
##       1       1       1       1       1       1       1       1       1 
##  338.32  339.11  339.49  342.42  342.44  345.31  345.35  345.49  346.37 
##       1       1       1       1       1       1       1       1       1 
##  347.27  347.38  349.29  350.51  350.85  351.63  352.22  352.54  352.68 
##       1       1       1       1       1       1       1       1       1 
##  352.92  352.94  352.99   354.7  357.38  357.62  357.84  358.04  358.35 
##       1       1       1       1       1       1       1       1       1 
##  358.42  359.19  359.51  360.33  361.05  361.19  361.56  361.91   362.3 
##       1       1       1       1       1       1       1       1       1 
##  362.49  363.18  363.26  364.33  365.03  365.18  366.92  367.57  367.69 
##       1       1       1       1       1       1       1       1       1 
##  368.37  368.77   369.6  369.67  369.95  371.29  373.06  373.37  373.45 
##       1       1       1       1       1       1       1       1       1 
##  374.45  374.47  374.79  375.01  375.07   375.1   375.2  375.35  375.47 
##       1       1       1       1       1       1       1       1       1 
##  375.49  376.03  376.13  376.45  376.52  376.62  376.85   376.9  377.18 
##       1       1       1       1       1       1       1       1       1 
##  377.32  378.05  378.25  378.55  379.25  379.47  379.65  380.15  380.26 
##       1       1       1       1       1       1       1       1       1 
##  380.29  380.56  381.31  381.65   382.3  382.49  382.56  382.85  383.16 
##       1       1       1       1       1       1       1       1       1 
##  383.62  383.76  384.26  386.35  386.48  386.55  386.94  387.17  387.41 
##       1       1       1       1       2       1       1       1       1 
##  387.49  387.54  387.88  388.78  388.95  389.55  389.59  390.41  391.44 
##       1       1       1       1       1       1       1       1       1 
##  391.73  391.86  392.15  394.77   394.8  394.97  395.54  397.82  398.82 
##       1       1       1       1       1       1       1       1       1 
##  399.52  400.19  400.57  400.87  402.15  402.97  403.42  404.43  407.23 
##       1       1       1       1       1       1       1       1       1 
##  407.37  407.49  407.71   408.9  409.55  410.26  410.44  410.94  411.56 
##       1       1       1       1       1       1       1       1       1 
##  411.57  411.62  413.31  413.75  413.97  414.06  414.32  414.82  414.86 
##       1       1       1       1       1       2       1       1       1 
##  415.48  415.56  416.32  416.39  416.44  416.52  416.73  416.83  417.01 
##       1       1       1       1       1       1       1       1       1 
##  417.13  417.18  417.27  417.56  417.94  417.95  417.96  418.04  418.09 
##       1       1       1       1       1       1       1       1       1 
##  419.41   420.2  420.23  420.35  420.62  420.74  420.79  420.87   420.9 
##       1       1       1       1       1       2       1       1       1 
##  420.95  421.12  421.44  421.56  421.65  421.69  422.28  422.37  422.48 
##       1       1       1       1       1       1       1       1       1 
##  422.75  422.82   423.2  423.41  423.56  423.73  423.99  424.03  424.23 
##       1       1       1       1       1       1       1       1       1 
##  424.28  424.44  424.54  424.95  425.19  426.62  426.76   427.4  428.59 
##       1       1       1       1       1       1       1       1       1 
##  428.96  429.11  429.71  430.01  430.31  430.57  431.96  432.15  432.37 
##       1       1       1       1       1       2       1       1       1 
##  432.52  432.98  433.09  433.44  433.48   433.5  433.75  434.33     435 
##       1       1       1       1       1       1       1       1       1 
##  435.12  435.51  435.69  435.79  436.39   436.4  436.57  437.14  437.16 
##       1       1       1       1       1       1       1       1       1 
##   437.7  437.75  437.76  438.64  438.71   438.8  438.82  438.89  439.32 
##       1       1       1       1       1       1       1       1       1 
##  440.17  440.22  440.29  440.67  441.39  441.46   442.4  442.68  442.69 
##       1       1       1       1       1       1       1       1       1 
##  442.73  443.19  443.97  444.15  444.18  444.67  444.69  444.72  445.74 
##       1       1       1       1       1       1       1       1       1 
##  445.98  446.18  446.26  446.72  447.21  447.25  447.53  447.61  447.64 
##       1       1       1       1       1       1       1       1       1 
##  447.98  447.99  448.06  448.32  448.43   448.9  449.01  449.38  449.42 
##       1       1       1       1       1       1       1       1       1 
##  449.43  449.46   449.6  450.28   450.3  450.89  451.88  451.94  452.73 
##       1       1       1       1       1       1       1       1       1 
##  453.09  453.23  453.38  453.78  454.16  454.43  454.62  454.77  454.93 
##       1       1       1       1       1       1       1       1       1 
##  454.99   455.1  455.65  455.67  456.08     457  457.33  457.57  457.76 
##       1       1       1       2       1       1       1       1       1 
##  458.05  458.54  458.55  458.56   458.6  458.79   459.6  460.27  460.48 
##       1       1       1       1       1       1       1       1       1 
##   460.5  461.43  461.45  461.46  461.91  462.32  463.62  465.32  466.06 
##       1       1       1       1       1       1       1       1       1 
##  466.09  471.24  473.46   474.6  474.88  475.26  475.37  477.43  477.59 
##       1       1       1       1       1       1       1       1       1 
##  477.75  477.76  477.89  478.38     479  479.36  479.64  479.75  482.28 
##       1       1       1       1       1       1       1       1       1 
##  483.34  484.83  485.25  485.72  487.92  489.66  491.17   491.3  491.77 
##       1       1       1       1       1       1       1       1       1 
##   491.8  492.11  495.67  495.77  495.96  497.01  498.07  498.17  500.46 
##       1       1       1       1       1       1       1       1       1 
##  501.56   502.5  504.25  505.97  507.81  508.29  508.52  511.15  511.57 
##       1       1       1       1       1       1       1       1       1 
##  511.98  514.04  515.59  517.24  519.71  520.22   522.7  524.58  525.14 
##       1       1       1       1       1       1       1       1       1 
##  526.23  527.39  530.04  531.39  533.86  536.92  537.97  538.71  546.32 
##       1       1       1       1       1       1       1       1       1 
##  546.66  547.47  549.26  556.14  559.79  561.27  565.04  565.61  566.34 
##       1       1       1       1       1       1       1       1       1 
##  566.36  567.24  567.29  568.18  569.19  569.64  569.95  570.47  571.24 
##       1       1       1       1       1       1       1       1       1 
##  571.49  571.59   572.3  572.73  573.22  573.91  574.11  574.16  574.32 
##       1       1       1       1       1       1       1       1       1 
##  574.63  574.98  575.04  575.47  575.54  575.63  576.37   576.6  577.06 
##       1       1       1       1       1       1       1       1       1 
##  577.36  577.44  577.47   577.5  577.76  578.29  578.77  579.65  580.18 
##       1       1       1       1       1       1       1       1       1 
##  580.83  581.14  581.31  581.64   581.7  582.36  582.69  583.41  583.42 
##       1       1       1       1       1       1       1       2       1 
##  583.92  584.61  584.65  584.73  585.44  585.54  585.59  585.69  586.24 
##       1       1       1       1       1       1       1       1       1 
##  586.67  586.75  586.95  587.56  587.78   587.8  588.77  588.78  588.87 
##       1       1       1       1       1       1       1       1       1 
##  589.12  589.33  589.37  590.83  591.05  591.06   592.1  592.19  592.58 
##       1       1       1       1       1       1       1       1       1 
##  592.69  592.94  593.85  593.98  594.15  594.92  594.99  595.81  596.12 
##       1       1       1       1       1       1       1       1       1 
##   596.3  596.55  597.15  597.26  598.07  598.21  600.16  600.83  601.09 
##       1       1       1       1       1       1       1       1       1 
##  601.73  602.27  602.63  602.72  602.84  604.73  605.24  605.42  605.66 
##       1       1       1       1       1       1       1       1       1 
##  605.69  605.82  605.98  606.17  606.27  606.59  606.72  606.73  606.97 
##       1       1       1       1       1       1       1       1       1 
##  607.15  607.96  608.04  608.24  608.31  608.63  609.23  609.24  609.74 
##       1       1       1       1       1       1       1       1       1 
##  609.87  609.89   610.2  610.44  610.68  610.86  610.89  612.13  612.51 
##       1       1       1       1       1       1       1       1       1 
##  613.02  613.98  614.54  614.83  615.33  616.63  616.75  616.76   616.8 
##       1       1       1       1       1       1       1       1       1 
##  617.12  617.18  617.45  618.99  619.11  619.32  619.41  621.55  621.59 
##       1       1       1       1       1       1       1       1       1 
##  622.21  622.37  622.86  623.03  623.09  623.51  623.68   623.9  623.98 
##       1       1       1       1       1       1       1       1       1 
##  624.09  624.51  624.68  624.82  625.32  626.27  626.32   626.5   626.6 
##       1       1       1       1       1       1       1       1       1 
##  627.79  628.51  628.78   628.8  629.15  629.37  630.23  630.52  630.69 
##       1       1       1       1       1       1       1       1       1 
##  630.86  631.11  631.46     632   632.1  632.83  633.02  633.71  634.11 
##       1       1       1       1       1       1       1       1       1 
##  635.81  636.12  636.19  636.79  636.96  637.96  638.14  638.65  639.19 
##       1       1       1       1       1       1       1       1       1 
##   639.8  639.89  640.38  640.56  640.81  641.07  641.61  641.63  645.16 
##       1       1       1       1       1       1       1       1       1 
##     647  647.66  649.16  649.36  650.62  650.88  650.92  650.96  651.72 
##       1       1       1       1       1       1       1       1       1 
##  651.78  653.15   653.7  653.76   654.1  654.35  654.47  654.97  655.03 
##       1       1       1       1       1       1       1       1       1 
##  655.05  655.27  655.56  656.14  656.99  657.07  657.29  657.59  658.08 
##       1       1       1       1       1       1       1       1       1 
##  658.66  659.26  660.62  660.77  661.28  661.99  663.25  663.86  664.55 
##       1       1       1       1       1       1       1       1       1 
##  665.01  665.12   665.3  665.51  665.58  665.68  666.52  666.65  666.78 
##       1       1       1       1       1       1       1       1       1 
##  667.61  667.76  670.63  672.17  672.78  672.86  673.11  673.34  673.41 
##       1       1       1       1       1       1       1       1       1 
##  673.92   676.3  677.33   678.3  679.46  681.03  682.12  682.21   682.9 
##       1       1       1       1       1       1       1       1       1 
##  683.66  685.56  688.31   688.7  689.65  691.96  694.47  698.23  700.97 
##       1       1       1       1       1       1       1       1       1 
##  701.86  702.03  703.13  703.24  703.42  703.56   703.7  704.38  705.02 
##       1       1       1       1       1       1       1       1       1 
##  705.05  705.97  709.85  711.52  711.62   712.4  714.48  715.53  716.41 
##       1       1       1       1       1       1       1       1       1 
##  722.43  723.27  727.83  729.79  731.03  732.03  735.07  735.38   735.6 
##       1       1       1       1       1       1       1       1       1 
##  735.81  737.23  739.25  740.29  740.83  740.98  741.65   744.2  744.59 
##       1       1       1       1       1       1       1       1       1 
##  745.05  745.69  748.91  751.35  751.59  751.62  754.01  756.13  756.23 
##       1       1       1       1       1       1       1       1       1 
##  756.77   758.7  761.98  763.78  764.22  766.31  768.13  769.73  770.81 
##       1       1       1       1       1       1       1       1       1 
##  771.15  771.39   771.4  771.44  772.79  773.87  774.25  774.65  777.76 
##       1       1       1       1       1       1       1       1       1 
##  777.94  778.09  780.09  780.56  781.48  781.55  784.91  790.53  790.83 
##       1       1       1       1       1       1       1       1       1 
##  792.71  795.87  797.07  797.82  799.11  800.88     802  802.39  804.83 
##       1       1       1       1       1       1       1       1       1 
##  811.91  812.51  814.64  818.41  818.72  819.03   821.8  822.04  823.83 
##       1       1       1       1       1       1       1       1       1 
##  823.98  825.37     826  827.96  829.45  829.92  831.53  832.58  833.27 
##       1       1       1       1       1       1       1       1       1 
##  834.28  835.63     840   841.2  842.72  845.59  846.86  853.61  859.51 
##       1       1       1       1       1       1       1       1       1 
##   860.9  863.22  863.91  864.54  868.48   870.2  870.96   872.6  873.26 
##       1       1       1       1       1       1       1       1       1 
##  876.12  878.48  885.28  886.62  892.58  892.69  893.19  895.03  896.18 
##       1       1       1       1       1       1       1       1       1 
##  898.82  899.07  901.54   902.2  902.83  907.61  907.68  907.94  908.59 
##       1       1       1       1       1       1       1       1       1 
##   911.2  913.95  917.59   919.5  919.75  920.38  921.01  921.59  921.79 
##       1       1       1       1       1       1       1       1       1 
##  921.98  924.67   928.1   933.2  933.53  937.52  953.29  955.85  961.24 
##       1       1       1       1       1       1       1       1       1 
##  963.74  966.73   970.4  972.78   973.5  973.82  975.92  988.51  988.67 
##       1       1       1       1       1       1       1       1       1 
##  989.02  990.64  994.38  998.33  999.18 1001.96 1004.45 1004.55 1007.48 
##       1       1       1       1       1       1       1       1       1 
##  1011.8 1013.38 1021.75 1026.43 1027.34 1027.44 1029.91 1031.95 1036.74 
##       1       1       1       1       1       1       1       1       1 
## 1038.15 1038.59 1039.97  1042.9 1043.33 1043.84 1045.11 1045.77 1046.21 
##       1       1       1       1       1       1       1       1       1 
## 1047.15 1047.87 1049.14 1054.23 1054.42 1061.35 1063.07 1071.79 1078.28 
##       1       1       1       1       1       1       1       1       1 
## 1079.98  1080.5 1100.23 1102.17  1115.3 1116.72 1117.44 1120.54 1124.78 
##       1       1       1       1       1       1       1       1       1 
## 1129.43 1131.97 1133.25 1143.81 1143.84    1150 1151.17 1154.73  1165.2 
##       1       1       1       1       1       1       1       1       1 
## 1166.72 1167.54 1169.28 1172.52 1173.68 1175.83 1175.95  1176.9 1179.97 
##       1       1       1       1       1       1       1       1       2 
## 1182.68 1182.94 1187.13 1187.81 1187.87 1188.49 1193.91 1200.37 1205.01 
##       1       1       1       1       1       1       1       1       1 
## 1207.21 1210.29 1211.67 1221.38 1222.05  1222.5 1223.54 1229.08 1231.71 
##       1       1       1       1       1       1       1       1       1 
## 1231.92    1240 1249.61 1250.15 1251.01 1255.15 1265.49 1267.12 1272.83 
##       1       1       1       1       1       1       1       1       1 
## 1274.99 1281.08 1316.48 1317.73 1321.79 1347.89  1421.6 1452.82 1490.09 
##       1       1       1       1       1       1       1       1       1 
## 1537.67 1555.45  1578.8 1596.71 1723.35 1724.24 1734.45 1738.43 1755.36 
##       1       1       1       1       1       1       1       1       1 
## 1787.13 1804.91 1808.91 1839.09 1848.57 1888.65 1929.82 1987.71 1998.86 
##       1       1       1       1       1       1       1       1       1 
## 2038.87  2041.2 2084.73  2155.8  2173.4 2175.47 2202.42 2228.41 2233.34 
##       1       1       1       1       1       1       1       1       1 
## 2255.61 2273.43 2286.41 2304.98 2318.88 2320.42 2337.79  2357.9 2372.56 
##       1       1       1       1       1       1       1       1       1 
## 2398.84 2407.88 2434.55 2443.64 2464.58 2478.45 2480.84 2488.55 2506.37 
##       1       1       1       1       1       1       1       1       1 
## 2506.47 2511.81 2515.35 2518.44 2518.56 2518.66 2529.45 2539.32 2548.29 
##       1       1       1       1       1       1       1       1       1 
## 2552.45 2564.06 2571.34 2574.79 2576.48 2589.41  2589.6 2601.64 2601.99 
##       1       1       1       1       1       1       1       1       1 
## 2608.56 2608.72 2655.88 2659.63 2667.76 2671.78 2686.81  2689.1 2705.41 
##       1       1       1       1       1       1       1       1       1 
## 2710.67 2717.02 2718.26 2721.79 2726.45  2730.4 2732.16 2744.91 2754.86 
##       1       1       1       1       1       1       1       1       1 
## 2757.18 2804.73 2805.62 2809.01 2810.12  2817.6 2823.81  2863.2 2875.34 
##       1       1       1       1       1       1       1       1       1 
## 2895.89 2947.71 2958.11 3154.95 3213.94 3252.91 3342.47 3378.94 3381.28 
##       1       1       1       1       1       1       1       1       1 
## 3419.94 3582.88 3625.04  3630.7 3631.04 3637.52 3650.62 3682.84  3792.4 
##       1       1       1       1       1       1       1       1       1 
## 3882.59 3884.71 3892.35 3905.95 3924.97 3926.07 4001.74  4065.2 4073.26 
##       1       1       1       1       1       1       1       1       1 
## 4087.66 4100.52 4122.94 4130.81 4151.52 4160.62 4161.27 4163.07 4174.73 
##       1       1       1       1       1       1       1       1       1 
## 4181.93  4193.7 4200.67 4226.06 4228.75 4229.36 4236.31 4317.48 4325.13 
##       1       1       1       1       1       1       1       1       1 
## 4328.41 4331.69 4334.68 4338.71  4352.4 4370.81  4371.6 4376.53 4376.63 
##       1       1       1       1       1       1       1       1       1 
## 4382.66 4382.88 4403.74 4409.32 4426.89  4565.3 4578.77 4579.02 4582.96 
##       1       1       1       1       1       1       1       1       1 
## 4597.12 4599.88 4610.48 4703.39 4772.02 4781.99 4826.48 4892.01 5446.91 
##       1       1       1       1       1       1       1       1       1 
## 5526.64 5590.69 5605.51 5647.21 5678.19 5708.52 5725.59  5750.8 5753.09 
##       1       1       1       1       1       1       1       1       1 
##  5780.9 5831.79 5904.83 5930.32 5950.07 6008.42 6011.45  6031.6 6130.53 
##       1       1       1       1       1       1       1       1       1 
## 6153.85  6357.6  6468.4 6559.49 6618.14 6635.75 6767.31 7022.76  7078.5 
##       1       1       1       1       1       1       1       1       1 
## 7143.58 7144.38 7207.76 7315.54 7379.95 7407.41 7459.69 7708.99 7790.15 
##       1       1       1       1       1       1       1       1       1 
## 7871.69 8036.49 8038.77 8071.26 8200.64 8253.55 8253.69 8790.92 9330.55 
##       1       1       1       1       1       1       1       1       1 
## 9818.35 9888.61 10058.8 10233.6 10975.6 11074.6 11323.2 11657.2 11916.7 
##       1       1       1       1       1       1       1       1       1 
## 14291.5 15178.2 15455.4 16408.2   16564 16569.4 16936.8 17415.4 17706.9 
##       1       1       1       1       1       1       1       1       1 
## 17899.7 19114.2 19140.8 19497.4 
##       1       1       1       1

volume

mytable <- with(btc.df, table(volume))
options(max.print=1000000)
mytable
## volume
##           0     2857830     2945790     4342080     5277290     5621260 
##         243           1           1           1           1           1 
##     5760120     5914570     6242620     6475100     6491650     6682600 
##           1           1           1           1           1           1 
##     7009320     7222030     7362980     7383770     7555310     7682670 
##           1           1           1           1           1           1 
##     7774230     7845880     7860650     7922070     7950760     8036550 
##           1           1           1           1           1           1 
##     8359080     8535470     8603620     8614190     8748030     8897470 
##           1           1           1           1           1           1 
##     8994050     9105940     9194440     9256290     9288400     9424070 
##           1           1           1           1           1           1 
##     9446580     9472960     9602880     9814530     9819150     9849640 
##           1           1           1           1           1           1 
##     9867570     9883640     9917990    10004800    10005500    10080000 
##           1           1           1           1           1           1 
##    10241400    10347900    10394200    10600900    10601400    10711900 
##           1           1           1           1           1           1 
##    10752900    10790800    10873200    10877700    10921600    10949500 
##           1           1           1           1           1           1 
##    11056600    11072000    11089700    11131400    11131500    11134300 
##           1           1           1           1           1           1 
##    11147100    11272500    11275400    11291000    11300900    11416800 
##           1           1           1           1           1           1 
##    11496200    11499300    11508000    11634900    11641300    11670900 
##           1           1           1           1           1           1 
##    11675900    11676600    11732500    11763000    11905600    11913800 
##           1           1           1           1           1           1 
##    11970100    12103100    12165900    12214600    12251700    12279500 
##           1           1           1           1           1           1 
##    12284200    12302500    12364100    12387900    12415200    12493500 
##           1           1           1           1           1           1 
##    12507300    12528300    12535500    12545400    12706800    12712600 
##           1           1           1           1           1           1 
##    12803800    12871800    12939000    12948500    12999000    13009400 
##           1           1           1           1           1           1 
##    13033000    13105500    13182400    13204400    13305300    13318400 
##           1           1           1           1           1           1 
##    13329000    13340100    13342200    13345200    13398100    13404500 
##           1           1           1           1           1           1 
##    13600700    13619400    13724100    13829600    13897800    13940100 
##           1           1           1           1           1           1 
##    13942900    13949300    13957200    13978200    13983500    14017700 
##           1           1           1           1           1           1 
##    14020100    14053800    14098600    14144900    14158100    14179900 
##           1           1           1           1           1           1 
##    14188900    14200400    14228900    14241900    14416000    14423900 
##           1           1           1           1           1           1 
##    14444700    14497900    14529600    14605000    14626000    14648200 
##           1           1           1           1           1           1 
##    14655900    14728100    14730800    14764200    14805000    14898800 
##           1           1           1           1           1           1 
##    15019100    15021500    15029300    15092300    15107100    15108700 
##           1           1           1           1           1           1 
##    15108900    15137600    15151600    15171400    15181800    15185200 
##           1           1           1           1           1           1 
##    15206200    15207600    15244900    15264300    15273000    15302500 
##           1           1           1           1           1           1 
##    15332500    15345200    15375600    15396500    15437200    15499400 
##           1           1           1           1           1           1 
##    15585700    15588000    15607100    15616600    15620400    15655500 
##           1           1           1           1           1           1 
##    15727500    15838900    15855300    15880700    15904800    15912700 
##           1           1           1           1           1           1 
##    16032300    16040900    16068100    16133100    16329400    16365200 
##           1           1           1           1           1           1 
##    16400000    16401100    16401400    16410500    16419000    16425000 
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##           1           1           1           1           1           1 
##  1348950000  1355120000  1367050000  1369310000  1374210000  1378750000 
##           1           1           1           1           1           1 
##  1380100000  1386230000  1403920000  1411480000  1431730000  1443970000 
##           1           1           1           1           1           1 
##  1446840000  1460090000  1468960000  1482280000  1489450000  1489790000 
##           1           1           1           1           1           1 
##  1511610000  1512450000  1514950000  1515110000  1517710000  1534510000 
##           1           1           1           1           1           1 
##  1537460000  1544830000  1557330000  1563980000  1597140000  1626580000 
##           1           1           1           1           1           1 
##  1653180000  1663280000  1669030000  1679090000  1686880000  1696560000 
##           1           1           1           1           1           1 
##  1700480000  1710130000  1712320000  1725380000  1727970000  1752400000 
##           1           1           1           1           1           1 
##  1752760000  1763480000  1772150000  1780540000  1781200000  1818400000 
##           1           1           1           1           1           1 
##  1821570000  1844620000  1854190000  1864530000  1905040000  1933190000 
##           1           1           1           1           1           1 
##  1937850000  1942220000  1943210000  1944930000  1945700000  1959330000 
##           1           1           1           1           1           1 
##  1966990000  1968740000  1976040000  2008070000  2018890000  2021190000 
##           1           1           1           1           1           1 
##  2026260000  2034630000  2037750000  2089610000  2109770000  2172100000 
##           1           1           1           1           1           1 
##  2207100000  2219410000  2219590000  2249260000  2272040000  2311380000 
##           1           1           1           1           1           1 
##  2326340000  2354430000  2369820000  2380410000  2399270000  2401840000 
##           1           1           1           1           1           1 
##  2406700000  2463090000  2483800000  2486080000  2553360000  2569530000 
##           1           1           1           1           1           1 
##  2599080000  2697970000  2700890000  2716310000  2722140000  2735700000 
##           1           1           1           1           1           1 
##  2791610000  2800890000  2859040000  2870320000  2941710000  2975820000 
##           1           1           1           1           1           1 
##  2987330000  3111900000  3149320000  3159090000  3197110000  3226250000 
##           1           1           1           1           1           1 
##  3258050000  3369860000  3488450000  3615480000  3633530000  3667190000 
##           1           1           1           1           1           1 
##  3764240000  4148070000  4200880000  4225180000  4277610000  4342060000 
##           1           1           1           1           1           1 
##  4602200000  4651670000  4653770000  4908680000  5058610000  5123810000 
##           1           1           1           1           1           1 
##  5138500000  5208250000  5475580000  5653320000  6132410000  6263250000 
##           1           1           1           1           1           1 
##  6348820000  6608310000  6783120000  6895260000  8310690000  8957350000 
##           1           1           1           1           1           1 
## 11568800000 12153900000 12656300000 12740600000 12976900000 13314600000 
##           1           1           1           1           1           1 
## 13433300000 13777400000 13911300000   1.431e+10 14603800000 14839500000 
##           1           1           1           1           1           1 
## 17950700000  2.1136e+10 
##           1           1

market

mytable <- with(btc.df, table(market))
options(max.print=1000000)
mytable
## market
##   779255000   782352000   865585000   870912000   874138000   896693000 
##           1           1           1           1           1           1 
##   909526000  1000070000  1003090000  1014640000  1027160000  1027640000 
##           1           1           1           1           1           1 
##  1029670000  1048820000  1052140000   1.053e+09  1068520000  1072140000 
##           1           1           1           1           1           1 
##  1074010000  1078260000  1082750000  1082800000  1089890000  1094490000 
##           1           1           1           1           1           1 
##  1100900000  1104760000  1107130000  1111160000  1125660000  1126260000 
##           1           1           1           1           1           1 
##  1127120000  1128720000  1128950000  1129260000  1131340000  1131570000 
##           1           1           1           1           1           1 
##  1152250000  1153880000  1156610000  1164940000  1171050000  1173060000 
##           1           1           1           1           1           1 
##  1179110000  1180070000  1185310000  1187920000  1188150000  1198640000 
##           1           1           1           1           1           1 
##  1201490000  1205070000  1207100000  1209520000  1210260000  1211790000 
##           1           1           1           1           1           1 
##  1215130000  1219450000  1220190000  1222030000  1224210000  1224980000 
##           1           1           1           1           1           1 
##  1227030000  1228440000   1.229e+09  1229100000  1235340000  1239210000 
##           1           1           1           2           1           1 
##  1239630000  1242760000  1248470000  1249630000  1254760000  1255970000 
##           1           1           1           1           1           1 
##   1.259e+09  1259980000  1260350000  1265450000  1271470000  1274620000 
##           1           1           1           1           1           1 
##  1279980000  1288630000  1289470000  1292190000  1300660000  1304320000 
##           1           1           1           1           1           1 
##  1311050000  1312160000  1315720000  1319590000  1338880000  1348700000 
##           1           1           1           1           1           1 
##  1357020000  1363940000  1365110000  1368910000  1371300000  1374130000 
##           1           1           1           1           1           1 
##  1374420000  1376180000  1376370000  1377730000  1379140000  1384780000 
##           1           1           1           1           1           1 
##  1386610000  1387640000  1394010000  1403890000  1413300000  1414290000 
##           1           1           1           1           1           1 
##  1417200000  1422120000  1422180000  1424680000  1428700000  1445050000 
##           1           1           1           1           1           1 
##  1445800000  1446190000  1448180000  1451930000  1454310000  1454900000 
##           1           1           1           1           1           1 
##  1468960000  1470450000  1474670000  1477250000  1478030000  1480210000 
##           1           1           1           1           1           1 
##  1483180000  1485960000  1486510000  1488870000  1489950000  1491160000 
##           1           1           1           1           1           1 
##  1495520000  1496500000  1496510000  1500260000  1500520000  1506920000 
##           1           1           1           1           1           1 
##  1513940000  1514140000  1514540000  1516020000  1517020000  1520470000 
##           1           1           1           1           1           1 
##  1527760000  1531820000  1539430000  1540880000  1542820000  1542870000 
##           1           1           1           1           1           1 
##  1544020000  1545600000  1547640000  1547970000  1552880000  1555470000 
##           1           1           1           1           1           1 
##  1562270000  1572230000  1573400000  1579050000  1579180000  1583960000 
##           1           1           1           1           1           1 
##  1587290000  1590550000  1597780000  1599430000  1613600000  1614350000 
##           1           1           1           1           1           1 
##  1648470000  1667100000  1688200000  1725840000  1735750000  1849630000 
##           1           1           1           1           1           1 
##  2037440000  2075580000  2102730000  2169750000  2231070000  2298160000 
##           1           1           1           1           1           1 
##  2337100000  2351780000  2365840000  2382870000  2427830000  2432470000 
##           1           1           1           1           1           1 
##  2436240000  2456330000  2459520000  2548230000  2564070000  2738980000 
##           1           1           1           1           1           1 
##  2747730000  2853930000  2870180000  2905410000  2905520000  2925910000 
##           1           1           1           1           1           1 
##  2926100000  2989460000  2994350000  3030990000  3037370000  3044180000 
##           1           1           1           1           1           1 
##  3053250000  3069830000  3072020000  3074140000  3078890000  3086220000 
##           1           1           1           1           1           1 
##  3093200000  3120490000  3123010000  3125520000  3129190000  3132400000 
##           1           1           1           1           1           1 
##  3134170000  3138700000  3141730000  3143460000  3144920000  3147650000 
##           1           1           1           1           1           1 
##  3157970000  3161520000  3170730000  3175520000  3181700000  3183860000 
##           1           1           1           1           1           1 
##  3190790000  3191080000  3200970000  3203980000  3206940000  3211490000 
##           1           1           1           1           1           1 
##  3212010000  3213320000  3213390000  3213910000  3213920000  3228470000 
##           1           1           1           1           1           1 
##  3228540000  3231750000  3245660000  3250240000  3257050000  3257850000 
##           1           1           1           1           1           1 
##  3258210000  3263390000  3264420000  3268370000  3272880000  3274370000 
##           1           1           1           1           1           1 
##  3274860000  3274980000  3275110000  3276290000  3279270000  3280180000 
##           1           1           1           1           1           1 
##  3282410000  3287220000  3288140000  3293570000  3294030000  3296060000 
##           1           1           1           1           1           1 
##  3303650000  3311080000  3313620000  3314280000  3314640000  3314780000 
##           1           1           1           1           2           1 
##  3315370000  3315980000  3316990000  3317080000  3319140000  3321180000 
##           1           1           1           1           1           1 
##  3321740000  3322420000  3323830000  3329190000  3331930000  3335220000 
##           1           1           1           2           1           1 
##  3337790000  3338560000  3340990000  3343940000  3344280000  3345740000 
##           1           1           1           1           1           1 
##  3346760000  3349390000  3352760000  3353090000  3355470000  3355680000 
##           1           1           1           1           1           1 
##  3357380000  3365740000  3366300000  3367040000  3367340000  3368360000 
##           1           1           1           1           1           1 
##  3368880000  3369190000  3370240000  3370890000  3373380000  3373650000 
##           1           1           1           1           1           1 
##  3373850000  3376060000  3378660000  3379050000  3380500000  3381390000 
##           1           1           1           1           1           1 
##  3383840000  3385770000  3390510000  3391910000  3394130000  3399290000 
##           1           1           1           1           1           1 
##  3399510000  3403300000  3406390000  3409830000  3413630000  3415440000 
##           1           1           1           1           1           1 
##  3416690000  3417200000  3418740000  3420100000  3420480000  3420500000 
##           1           1           1           1           1           1 
##  3424420000  3426350000  3431860000  3433300000  3434520000  3435990000 
##           1           1           1           1           1           1 
##  3439620000  3443230000  3444730000  3446790000  3454980000  3458950000 
##           1           1           1           1           1           1 
##  3461060000  3462800000  3464410000  3471280000  3472580000  3476180000 
##           1           1           1           1           1           1 
##  3478410000  3479310000  3482100000  3482190000  3487060000  3488460000 
##           1           1           1           1           1           1 
##  3494730000  3494910000  3496650000  3497740000  3498750000  3499120000 
##           1           1           1           1           1           1 
##  3502460000  3502520000  3503880000  3505090000  3520560000  3531230000 
##           1           1           1           1           1           1 
##  3531700000  3532050000  3536570000  3545940000  3550390000  3551640000 
##           1           1           1           1           1           1 
##  3557460000  3558500000  3562790000  3563010000  3563290000  3563920000 
##           1           1           2           1           1           1 
##  3565090000  3570820000  3572730000  3580410000  3581960000  3584120000 
##           1           1           1           1           1           1 
##  3593900000  3599840000  3608340000  3617340000  3617400000  3626050000 
##           1           1           1           1           1           1 
##  3628490000  3629920000  3632110000  3642550000  3649970000  3653040000 
##           1           1           1           1           1           1 
##  3655990000  3662970000  3668040000  3672370000  3678800000  3682790000 
##           1           1           1           1           1           1 
##  3706320000  3711800000  3724830000  3741670000  3742020000  3742290000 
##           1           1           1           1           1           1 
##  3745090000  3749260000  3759970000  3760210000  3764960000  3774140000 
##           1           1           1           1           1           1 
##  3779770000  3788190000  3792480000  3797330000  3818970000  3822510000 
##           1           1           1           1           1           1 
##  3825250000  3828340000  3828500000  3833160000  3843850000  3846750000 
##           1           1           1           1           1           1 
##  3847150000  3849530000  3857090000  3859270000  3866510000  3869530000 
##           1           1           1           1           1           1 
##  3870490000  3875220000  3885570000  3889620000  3890430000  3896130000 
##           1           1           1           1           1           1 
##  3918090000  3920130000  3920210000  3923350000  3930500000  3937990000 
##           1           1           1           1           1           1 
##  3938930000  3956140000  3964470000  3970980000  3971960000  3977030000 
##           1           1           1           1           1           1 
##  3978990000  3983760000  3991620000  3997290000  4001950000  4017540000 
##           1           1           1           1           1           1 
##  4020820000  4029490000  4032820000  4035790000  4037010000  4048270000 
##           1           1           1           1           1           1 
##  4051120000  4052470000  4053230000  4060030000  4065870000  4077600000 
##           1           1           1           1           1           1 
##  4080140000  4087610000  4093500000  4098250000  4109060000  4112610000 
##           1           1           1           1           1           1 
##  4115410000  4119190000  4125290000  4143120000  4154100000  4155010000 
##           1           1           1           1           1           1 
##  4155500000  4163470000  4174360000  4174930000  4187410000  4199450000 
##           1           1           1           1           1           1 
##  4211500000  4213280000  4222210000  4237650000  4238930000  4249480000 
##           1           1           1           1           1           1 
##  4250940000  4272940000  4277430000  4295210000  4307010000  4317320000 
##           1           1           1           1           1           1 
##  4325400000  4327750000  4338430000  4339700000  4355140000  4355750000 
##           1           1           1           1           1           1 
##  4376890000  4380820000  4380950000  4386500000  4389890000  4397250000 
##           1           1           1           1           1           1 
##  4403750000  4414880000  4450380000  4452510000  4468540000  4472050000 
##           1           1           1           1           1           1 
##  4489870000  4491320000  4496390000  4511760000  4527490000  4554320000 
##           1           1           1           1           1           1 
##  4561040000  4571830000  4593400000  4610750000  4638210000  4639690000 
##           1           1           1           1           1           1 
##  4655480000  4657240000  4657890000  4665040000  4681040000  4705370000 
##           1           1           1           1           1           1 
##  4712700000  4713320000  4717270000  4744450000  4746070000  4755830000 
##           1           1           1           1           1           1 
##  4762230000  4764020000  4770620000  4778440000  4781560000  4786700000 
##           1           1           1           1           1           1 
##  4787340000  4792870000  4797700000  4801920000  4805160000  4811290000 
##           1           1           1           1           1           1 
##  4812990000  4820850000  4823700000  4831160000  4839570000  4849070000 
##           1           1           1           1           1           1 
##  4850170000  4856410000  4861340000  4871600000  4874190000  4884490000 
##           1           1           1           1           1           1 
##  4886330000  4905260000  4917110000  4934270000  4942420000  4964150000 
##           1           1           1           1           1           1 
##  4966080000  4969330000  4971880000  4994250000  5004050000  5004540000 
##           1           1           1           1           1           1 
##  5005530000  5012450000  5014290000  5018040000  5020700000  5022360000 
##           1           1           1           1           1           1 
##  5029340000  5037510000  5053560000  5055290000  5060640000  5090060000 
##           1           1           1           1           1           1 
##  5090240000  5091480000  5093180000  5097280000  5098100000  5101970000 
##           1           1           1           1           1           1 
##  5115040000  5120700000  5125580000  5126590000  5128700000  5136830000 
##           1           1           1           1           1           1 
##  5141550000  5143260000  5143500000  5165060000  5177640000  5178450000 
##           1           1           1           1           1           1 
##  5216560000  5238500000  5239790000  5241030000  5242370000  5244350000 
##           1           1           1           1           1           1 
##  5245150000   5.246e+09  5281630000  5291730000  5307360000  5317310000 
##           1           1           1           1           1           1 
##  5318300000  5321420000  5324610000  5326230000  5348840000  5353680000 
##           1           1           1           1           1           1 
##  5358040000  5366290000  5374500000  5388110000  5394070000  5395770000 
##           1           1           1           1           1           1 
##  5425180000  5426180000  5468310000  5470650000  5477970000  5497550000 
##           1           1           1           1           1           1 
##  5507790000  5517460000   5.534e+09  5534140000  5542680000  5546240000 
##           1           1           1           1           1           1 
##  5580030000  5583670000  5588990000  5590030000  5591520000  5596090000 
##           1           1           1           1           1           1 
##  5609930000  5613380000  5615980000  5624310000  5624580000  5630890000 
##           1           1           1           1           1           1 
##  5631520000  5632260000  5634440000  5634510000  5647540000   5.648e+09 
##           1           1           1           1           1           1 
##  5651690000  5670880000  5671210000  5679530000  5679680000  5690670000 
##           1           1           1           1           1           1 
##  5692390000  5703760000  5708560000  5713880000  5714640000  5714760000 
##           1           1           1           1           1           1 
##  5716960000  5719730000  5720100000  5725990000  5729870000  5734760000 
##           1           1           1           1           1           1 
##  5735400000  5736760000  5742830000  5745320000  5752280000  5753970000 
##           1           1           1           1           1           1 
##  5761940000  5765520000  5771040000  5779890000  5789010000  5797070000 
##           1           1           1           1           1           1 
##  5798220000  5805530000  5806110000  5813290000  5816390000  5816910000 
##           1           1           1           1           1           1 
##  5821140000  5821160000  5842270000  5843510000  5843670000  5847990000 
##           1           1           1           1           1           1 
##  5860330000  5865740000  5867300000  5898960000  5908810000  5929520000 
##           1           1           1           1           1           1 
##  5937780000  5961500000  5973510000  5975580000  5980180000  5997850000 
##           1           1           1           1           1           1 
##  6032970000  6040410000  6067610000  6072520000  6073340000  6083900000 
##           1           1           1           1           1           1 
##  6108040000  6121400000  6185010000  6189620000  6190940000  6192560000 
##           1           1           1           1           1           1 
##  6193560000  6199850000  6204150000  6206150000  6215880000  6225860000 
##           1           1           1           1           1           1 
##  6233430000  6244360000  6251440000  6270970000  6274790000  6276610000 
##           1           1           1           1           1           1 
##  6276700000  6280640000  6289350000  6293610000  6297990000  6299070000 
##           1           1           1           1           1           1 
##  6302330000  6302440000  6302970000  6304370000  6307460000  6308890000 
##           1           1           1           1           1           1 
##  6313120000  6317100000  6330230000  6335400000  6337370000  6338430000 
##           1           1           1           1           1           1 
##  6338800000  6339010000  6339090000  6341380000  6341430000  6342780000 
##           1           1           1           1           1           1 
##  6344960000  6345230000  6355140000  6355700000  6356070000  6356100000 
##           1           1           1           1           1           1 
##  6357290000  6377870000  6379410000  6384740000  6385140000  6385230000 
##           1           1           1           1           1           1 
##  6387190000  6394850000  6395630000  6399190000  6404130000  6407840000 
##           1           1           1           1           1           1 
##  6409500000  6409540000  6417130000  6417190000  6421310000  6421460000 
##           1           1           1           1           1           1 
##  6422730000  6423040000  6436700000  6436980000  6443890000  6446330000 
##           1           1           1           1           1           1 
##  6453260000  6454430000  6465210000  6467330000  6468180000  6472580000 
##           1           1           1           1           1           1 
##  6473530000  6474150000  6476080000  6477530000  6480070000  6480470000 
##           1           1           1           1           1           1 
##  6480650000  6481350000  6483910000  6484410000  6489870000  6498830000 
##           1           1           1           1           1           1 
##  6504290000  6508960000  6515190000  6515380000  6519110000  6519500000 
##           1           1           1           1           1           1 
##  6520870000  6521010000  6524680000  6533260000  6533630000  6541030000 
##           1           1           1           1           1           1 
##  6544250000  6547850000  6550350000  6553350000  6553700000  6556960000 
##           1           1           1           1           1           1 
##  6565470000  6567300000  6600310000  6602810000  6604150000  6606460000 
##           1           1           1           1           1           1 
##  6614980000  6622450000  6626970000  6631310000  6636280000  6640850000 
##           1           1           1           1           1           1 
##  6642630000  6643810000  6645120000  6649170000  6669260000  6673600000 
##           1           1           1           1           1           1 
##  6679400000  6683680000  6684800000  6689200000  6695650000  6700090000 
##           1           1           1           1           1           1 
##  6711080000  6715420000  6717150000  6721330000  6721410000  6726370000 
##           1           1           1           1           1           1 
##  6729120000  6731160000  6741320000  6752210000  6755220000  6756340000 
##           1           1           1           1           1           1 
##  6761090000  6761730000  6764340000  6807850000  6813080000  6817460000 
##           1           1           1           1           1           1 
##  6822320000  6823120000  6825640000  6826520000   6.828e+09  6838480000 
##           1           1           1           1           1           1 
##  6842470000  6851590000  6888600000  6889170000  6892690000  6894280000 
##           1           1           1           1           1           1 
##  6895230000  6900700000  6918730000  6921460000  6925030000  6926990000 
##           1           1           1           1           1           1 
##  6942950000  6943300000  6947430000  6947800000  6950690000  6951860000 
##           1           1           1           1           1           1 
##  6958330000  6962090000  6968570000  6978950000  7002230000  7002610000 
##           1           1           1           1           1           1 
##  7008500000  7013060000  7028330000  7049460000  7057390000  7060730000 
##           1           1           1           1           1           1 
##  7061380000  7067270000  7069290000  7070010000  7072090000  7084100000 
##           1           1           1           1           1           1 
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##           1

Boxplots of all the variables

boxplot(btc.df$open, main="Boxplot of The amount in US Dollars that the day started at ")

boxplot(btc.df$high, main="Boxplot of The highest amount in US Dollars of that day")

boxplot(btc.df$low, main="Boxplot of The lowest amount in US Dollars of that day ")

boxplot(btc.df$close, main="Boxplot of The amount in US Dollars that the day closed at ")

boxplot(btc.df$volume, main="The value in US dollars of how many Bitcoins were exchanged that day")

boxplot(btc.df$market, main="The total amount of market capital (combined worth) in US dollars")

Distribution of the different variables

library(lattice)
histogram(~market, data = btc.df,
main = "Distribution of the total market worth of Bitcoin", xlab="Bitcoin Market worth", col='grey' )

histogram(~open, data = btc.df,
main = "Distribution of the opening price of Bitcoin on a day", xlab="Bitcoin Opening price", col='blue' )

histogram(~high, data = btc.df,
main = "Distribution of the highest price of Bitcoin on a day", xlab="Bitcoin peak high price", col='red' )

histogram(~low, data = btc.df,
main = "Distribution of the lowest price of Bitcoin on a day", xlab="Bitcoin peak low price", col='green' )

histogram(~close, data = btc.df,
main = "Distribution of the closing price of Bitcoin on a day", xlab="Bitcoin Closing price", col='orange' )

These graphs can be explained due to the fact that there was only a sudden increase in demand and value of Bitcoin. Also, Bitcoin when it was released, had a very low value as compared to today’s value. As this increase in value of Bitcoin was sudden, the distribution of the prices is lopsided towards low values.

Distrubution of the various variables with the Total markret value of Bitcoin

boxplot(open ~ market ,data=btc.df, main="Distribution of the opening price of Bitcoin on a day", xlab="Total Market value", ylab="Opening price")

boxplot(high ~ market ,data=btc.df, main="Distribution of the highest price of Bitcoin on a day", xlab="Total Market value", ylab="Opening price")

boxplot(low ~ market ,data=btc.df, main="Distribution of the lowest price of Bitcoin on a day", xlab="Total Market value", ylab="Opening price")

boxplot(close ~ market ,data=btc.df, main="Distribution of the closing price of Bitcoin on a day", xlab="Total Market value", ylab="Opening price")

####We can see an exponential growth in the value of bitcoin over its total Market Value

Scatterplots of the various variables with Total Market value

library(car)
## 
## Attaching package: 'car'
## The following object is masked from 'package:psych':
## 
##     logit
scatterplot(open ~ market , data=btc.df,
xlab="Total Market value", ylab="Opening price",
main="Comparison of Total Market value with Opening price",
labels=row.names(btc.df))

scatterplot(close ~ market , data=btc.df,
xlab="Total Market value", ylab="Closing price",
main="Comparison of Total Market value with Closing price",
labels=row.names(btc.df))

scatterplot(high ~ market , data=btc.df,
xlab="Total Market value", ylab="Highest price",
main="Comparison of Total Market value with Highest price",
labels=row.names(btc.df))

scatterplot(low ~ market , data=btc.df,
xlab="Total Market value", ylab="Lowest price",
main="Comparison of Total Market value with Lowest price",
labels=row.names(btc.df))

library(corrplot)
## corrplot 0.84 loaded
colnames(btc.df)
##  [1] "symbol"  "date"    "open"    "high"    "low"     "close"   "volume" 
##  [8] "market"  "name"    "ranknow"

Variance-Covariance Matrix

columns = c("open","high","low","close","volume","market")
bitcoin <- btc.df[, columns]
res <- cor(bitcoin)
round(res, 2)
##        open high  low close volume market
## open   1.00 1.00 1.00  1.00   0.94   1.00
## high   1.00 1.00 1.00  1.00   0.94   1.00
## low    1.00 1.00 1.00  1.00   0.92   1.00
## close  1.00 1.00 1.00  1.00   0.94   1.00
## volume 0.94 0.94 0.92  0.94   1.00   0.94
## market 1.00 1.00 1.00  1.00   0.94   1.00
library(corrplot)
Btc <- cor(btc.df[, columns])
corrplot(Btc, method="circle")

We can infer from this that the initial volume of bitcoin was zero as no one traded it. This is because cryptocurrency was a relatively new concept in the market then and nobody wanted to take risks.

Scatterplot Matrices

scatterplotMatrix(~market + high + low, data=btc.df,
main="Market price(Total), highest and lowest prices of Bitcoin on a day")

scatterplotMatrix(~market + open + close, data=btc.df,
main="Market price(Total), Opening and closing prices of Bitcoin on a day")

scatterplotMatrix(~market + open + close + high + low, data=btc.df,
main="Market price(Total), High, Low, Opening and closing prices of Bitcoin on a day")

Time Series Plots

Plots of the Various variables with time

btc.df <- read.csv("Bitcoin Trends.csv", stringsAsFactors = FALSE)
btc.df$date <- as.Date(btc.df$date, '%d-%m-%Y')

class(btc.df$date)
## [1] "Date"
View(btc.df)
#Now the format of date becomes yyyy-mm-dd from dd-mm-yyyy
head(btc.df$date)
## [1] "2013-04-28" "2013-04-29" "2013-04-30" "2013-05-01" "2013-05-02"
## [6] "2013-05-03"
require(ggplot2)
## Loading required package: ggplot2
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
ggplot(data=btc.df, aes(date, open), main="Plot of Date vs Opening Price") + geom_line() 

ggplot(data=btc.df, aes(date, close), main="Plot of Date vs Closing Price") + geom_line()

ggplot(data=btc.df, aes(date, high), main="Plot of Date vs Highest Price") + geom_line()

ggplot(data=btc.df, aes(date, low), main="Plot of Date vs Lowest Price") + geom_line()

ggplot(data=btc.df, aes(date, market), main="Plot of Date vs Total Market Value") + geom_line()

ggplot(data=btc.df, aes(date, volume), main="Plot of Date vs Volume") + geom_line()

Inights from the time series plots

Time vs Closing Price, Time vs Highest Price, Time vs Lowest Price and Time vs Total Market Value faced a trend similar to that of the Time vs Opening Price.
Time vs Volume - Before 2014, the volume was almost NULL. After 2014, till the end of 2016, the volume has a very slow and gradual increasing trend. In the year 2017, the volume suffered numerous ups and downs and towards the end of the year 2017, the volume of Bitcoin skyrocketed with no downs.

Correlation plot of the numerical variables viz. open, close, market, high, low and volume

library(corrplot)    
corrplot(corr=cor(btc.df[ , c(3:8)], use="complete.obs"), 
         method ="ellipse")

Corrgram of all the variables

library(corrgram)
corrgram(btc.df[,3:8], order=TRUE,
         main="Corrgram of all the Variables",
         lower.panel=panel.shade, upper.panel=panel.pie,
         diag.panel=panel.minmax, text.panel=panel.txt) 

We can see from the various plots and graphs that “open”, “close”, “high” and “low” are very closely related to “market”.

T - tests

Null hypothesis - There is no difference between the Market worth and opening price

t.test(btc.df$open, btc.df$market)
## 
##  Welch Two Sample t-test
## 
## data:  btc.df$open and btc.df$market
## t = -20.516, df = 1695, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -18474684037 -15250497117
## sample estimates:
##    mean of x    mean of y 
## 1.068412e+03 1.686259e+10

The p value is less than 2.2e-16 which is defenitely lesser than 0.05. We reject the null hypothesis.

Null hypothesis - There is no difference between the Market worth and closing price

t.test(btc.df$close, btc.df$market)
## 
##  Welch Two Sample t-test
## 
## data:  btc.df$close and btc.df$market
## t = -20.516, df = 1695, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -18474684026 -15250497106
## sample estimates:
##    mean of x    mean of y 
## 1.079607e+03 1.686259e+10

The p value is less than 2.2e-16 which is defenitely lesser than 0.05. We reject the null hypothesis.

Null hypothesis - There is no difference between the Market worth and highest price

t.test(btc.df$high, btc.df$market)
## 
##  Welch Two Sample t-test
## 
## data:  btc.df$high and btc.df$market
## t = -20.516, df = 1695, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -18474683997 -15250497078
## sample estimates:
##    mean of x    mean of y 
## 1.108179e+03 1.686259e+10

The p value is less than 2.2e-16 which is defenitely lesser than 0.05. We reject the null hypothesis.

Null hypothesis - There is no difference between the Market worth and highest price

t.test(btc.df$low, btc.df$market)
## 
##  Welch Two Sample t-test
## 
## data:  btc.df$low and btc.df$market
## t = -20.516, df = 1695, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -18474684069 -15250497149
## sample estimates:
##    mean of x    mean of y 
## 1.036506e+03 1.686259e+10

The p value is less than 2.2e-16 which is defenitely lesser than 0.05. We reject the null hypothesis.

Null hypothesis - There is no difference between the Market worth and the volume(The value in US dollars of how many Bitcoins were exchanged that day in the market)

t.test(btc.df$volume, btc.df$market)
## 
##  Welch Two Sample t-test
## 
## data:  btc.df$volume and btc.df$market
## t = -19.97, df = 1702, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -18044799854 -14817299835
## sample estimates:
##   mean of x   mean of y 
##   431541801 16862591646

The p value is less than 2.2e-16 which is defenitely lesser than 0.05. We reject the null hypothesis.

Regression Analysis

Thus in a regression analysis, The dependent variable forms “y” whereas the independent ones form “x”. market would be the dependent variable - “y”. open, close, high, low, volume would be the independent variables - x1, x2 and so on.

regr <- lm(market ~ open+high+low+close+volume, data = btc.df)
summary(regr)
## 
## Call:
## lm(formula = market ~ open + high + low + close + volume, data = btc.df)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -4.016e+09 -1.149e+08  3.459e+08  4.519e+08  1.841e+09 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -9.342e+08  2.593e+07 -36.032  < 2e-16 ***
## open         1.691e+07  2.662e+05  63.538  < 2e-16 ***
## high        -3.384e+06  4.574e+05  -7.398 2.17e-13 ***
## low          1.945e+06  2.905e+05   6.696 2.91e-11 ***
## close        1.084e+06  3.716e+05   2.917  0.00358 ** 
## volume       6.751e-01  5.733e-02  11.775  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 798300000 on 1690 degrees of freedom
## Multiple R-squared:  0.9994, Adjusted R-squared:  0.9994 
## F-statistic: 6.092e+05 on 5 and 1690 DF,  p-value: < 2.2e-16
regr$coefficients
##   (Intercept)          open          high           low         close 
## -9.341768e+08  1.691163e+07 -3.383792e+06  1.945171e+06  1.084219e+06 
##        volume 
##  6.750694e-01

Variables open, high, low, close and volume are all statistically significant. Further all their p-values lie below 0.05. We can infer from their p-values that the variable “close” plays lesser statistical significance than the other variables.

Inference from the regression coeffiecients

The expected increase in the Total Market value of Bitcoin, if the Opening price of Bitcoin increases by one dollar is 16,911,630$

The expected decrease in the Total Market value of Bitcoin, if the Highest price of Bitcoin increases by one dollar is 3,383,792$

The expected increase in the Total Market value of Bitcoin, if the Lowest price of Bitcoin increases by one dollar is 1,945,171$

The expected increase in the Total Market value of Bitcoin, if the Closing price of Bitcoin increases by one dollar is 1,084,219$

The expected increase in the Total Market value of Bitcoin, if the Volume(Trade on a day) of Bitcoin increases by one dollar is 0.6750694$

The 95% confidence interval for the slope of Opening price of Bitcoin is the estimated coefficient (16,910,000) ± two standard errors (266,200).

The 95% confidence interval for the slope of Highest price of Bitcoin is the estimated coefficient (-3,384,000) ± two standard errors (457,400).

The 95% confidence interval for the slope of Lowest price of Bitcoin is the estimated coefficient (1,945,000) ± two standard errors (290,500).

The 95% confidence interval for the slope of Closing price of Bitcoin is the estimated coefficient (1,084,000) ± two standard errors (371,600).

The 95% confidence interval for the slope of Volume of Bitcoin is the estimated coefficient (0.6751) ± two standard errors (0.05733).

We can see from the value of Multiple R-Squared which is 0.9994, that this model accounts for 99.94% variance in the Total Market Value of Bitcoin.

The linear regression model from the coefficients can be put as follows:

Market = 16,911,630(open) - 3,383,792(high) + 1,945,171(low) + 1,084,219(close) + 0.675094(volume) - 934,176,800 + e

The values are in USD (US Dollars)

Where “e” accounts for the error term