#!/usr/local/bin/gnuplot -persist
# set terminal svg size 600,400 dynamic enhanced font 'arial,10' mousing name "array_3" butt dashlength 1.0 
# set output 'array.3.svg'
set key title "after fit" center
set xtics border in scale 1,0.5 nomirror norotate  autojustify
set title "Fit function to values stored in an array" 
set xrange [ * : * ] noreverse writeback
set x2range [ * : * ] noreverse writeback
set yrange [ * : * ] noreverse writeback
set y2range [ * : * ] noreverse writeback
set zrange [ * : * ] noreverse writeback
set cbrange [ * : * ] noreverse writeback
set rrange [ * : * ] noreverse writeback
set colorbox vertical origin screen 0.9, 0.2 size screen 0.05, 0.6 front  noinvert bdefault
set fit nologfile brief errorvariables nocovariancevariables errorscaling prescale nowrap v5
NO_ANIMATION = 1
array Sum[20] = [,,,,132551.0,218066.0,363446.0,2441994.0,570452.0,1191986.0,4787900.0,250579.0,473705.0,,,,,,,]
STATS_records = 8
STATS_invalid = 1
STATS_headers = 0
STATS_blank = 0
STATS_blocks = 1
STATS_outofrange = 0
STATS_columns = 24
STATS_mean = 59213.125
STATS_stddev = 58379.6753361936
STATS_ssd = 62410.498131181
STATS_skewness = 1.19286863699748
STATS_kurtosis = 3.43067488290353
STATS_adev = 45898.375
STATS_mean_err = 20640.3321568458
STATS_stddev_err = 14594.9188340484
STATS_skewness_err = 0.866025403784439
STATS_kurtosis_err = 1.73205080756888
STATS_sum = 473705.0
STATS_sumsq = 55315045317.0
STATS_min = 4740.0
STATS_max = 190505.0
STATS_median = 44665.0
STATS_lo_quartile = 12792.0
STATS_up_quartile = 81773.0
STATS_index_min = 4
STATS_index_max = 1
array A[100] = [0.0850362636267646,0.138668046501166,0.240980220381082,0.3312607077477,0.316817966632536,0.466234692064718,0.482554479366472,0.533352615904967,0.559527644509419,0.654023960582895,0.660229123738849,0.752184148926526,0.753394919663811,0.859996599991983,0.885435900956442,0.933347041120697,0.95423485945779,0.973891416144002,1.00800075730069,0.961330483126975,0.992593114165772,1.05891246915703,1.01873905582889,1.02612963116277,1.06940466677158,1.02656875447722,1.05061056952683,0.982909159749507,1.06118277637573,1.01953487525507,1.02363563845912,0.946271942953646,0.962962760812359,0.890301075049094,0.821582696279568,0.830600532342226,0.777945997028944,0.777267296301223,0.662137417134087,0.647231081256548,0.598358503534245,0.555138329612926,0.447771843456855,0.418813896839086,0.342014392639103,0.327102229306648,0.246551652407449,0.21706370828246,0.12257296336318,0.0859169437957079,-0.0277719511968892,-0.0725943509754872,-0.150628009623008,-0.18908495295506,-0.301560050315137,-0.31940262745372,-0.374345799177169,-0.386674637781836,-0.486303480331371,-0.563512308138807,-0.587342928433972,-0.591821424664302,-0.658887975918265,-0.755490323134804,-0.752002565208069,-0.778842216642055,-0.833719139087535,-0.813841345124631,-0.884057209064273,-0.92712549741281,-0.89132372876573,-0.958337528280604,-0.942553285327497,-0.925763816217593,-0.974366848229344,-0.937417789793499,-0.934423537515066,-0.906879229788984,-0.884448956612347,-0.92346532406631,-0.910933747068837,-0.829934508393742,-0.801317056811785,-0.801142104297107,-0.775036516688814,-0.709864807261295,-0.655425509137385,-0.618937004777872,-0.540797419395498,-0.530190077865709,-0.453971691306098,-0.391564773510953,-0.407404701334656,-0.355724502711509,-0.221934596350434,-0.233903860838782,-0.186658474361653,-0.0682289062937528,0.034553816736702,0.0102017783398309]
a = -1.5738417304267
c = 0.0537485812503008
b = 0.0628586641033944
FIT_CONVERGED = 1
FIT_NDF = 97
FIT_STDFIT = 0.0273627685239023
FIT_WSSR = 0.0726259468253881
FIT_P = 1.0
FIT_NITER = 7
a_err = 0.007443996367925
b_err = 0.000124722069027756
c_err = 0.00273705298866697
## Last datafile plotted: "@@"
plot A with points title "Array A", c+cos(a+b*x) with lines
## fit c+cos(a+b*x) A using 1:2 via a,b,c