Unit-3_Exploratory-Data-Analysis_Multivariate
Steven Ferguson
2022-09-26
Visualizing Multivariate Data
Iris and Car Datasets
Think back to the iris dataset. Is possible to visualize the whole dataset in one figure? Perhaps if we somehow combined the 4 measurements and weighted them based on their variance. We could come up with a model that would reflect all 4 measurements as they relate to the 3 species. Honestly, I don’t know. Let’s see what I learn from the lab. I will say that the spinning 3D plot was a mess and incredibly difficult to interpret. It’s impossible to visualize a 4th dimension as straightforward as that, so some kind of data tranformation will be necessary.
mtcars## mpg cyl disp hp drat wt qsec vs am gear carb
## Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 4 4
## Mazda RX4 Wag 21.0 6 160.0 110 3.90 2.875 17.02 0 1 4 4
## Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 4 1
## Hornet 4 Drive 21.4 6 258.0 110 3.08 3.215 19.44 1 0 3 1
## Hornet Sportabout 18.7 8 360.0 175 3.15 3.440 17.02 0 0 3 2
## Valiant 18.1 6 225.0 105 2.76 3.460 20.22 1 0 3 1
## Duster 360 14.3 8 360.0 245 3.21 3.570 15.84 0 0 3 4
## Merc 240D 24.4 4 146.7 62 3.69 3.190 20.00 1 0 4 2
## Merc 230 22.8 4 140.8 95 3.92 3.150 22.90 1 0 4 2
## Merc 280 19.2 6 167.6 123 3.92 3.440 18.30 1 0 4 4
## Merc 280C 17.8 6 167.6 123 3.92 3.440 18.90 1 0 4 4
## Merc 450SE 16.4 8 275.8 180 3.07 4.070 17.40 0 0 3 3
## Merc 450SL 17.3 8 275.8 180 3.07 3.730 17.60 0 0 3 3
## Merc 450SLC 15.2 8 275.8 180 3.07 3.780 18.00 0 0 3 3
## Cadillac Fleetwood 10.4 8 472.0 205 2.93 5.250 17.98 0 0 3 4
## Lincoln Continental 10.4 8 460.0 215 3.00 5.424 17.82 0 0 3 4
## Chrysler Imperial 14.7 8 440.0 230 3.23 5.345 17.42 0 0 3 4
## Fiat 128 32.4 4 78.7 66 4.08 2.200 19.47 1 1 4 1
## Honda Civic 30.4 4 75.7 52 4.93 1.615 18.52 1 1 4 2
## Toyota Corolla 33.9 4 71.1 65 4.22 1.835 19.90 1 1 4 1
## Toyota Corona 21.5 4 120.1 97 3.70 2.465 20.01 1 0 3 1
## Dodge Challenger 15.5 8 318.0 150 2.76 3.520 16.87 0 0 3 2
## AMC Javelin 15.2 8 304.0 150 3.15 3.435 17.30 0 0 3 2
## Camaro Z28 13.3 8 350.0 245 3.73 3.840 15.41 0 0 3 4
## Pontiac Firebird 19.2 8 400.0 175 3.08 3.845 17.05 0 0 3 2
## Fiat X1-9 27.3 4 79.0 66 4.08 1.935 18.90 1 1 4 1
## Porsche 914-2 26.0 4 120.3 91 4.43 2.140 16.70 0 1 5 2
## Lotus Europa 30.4 4 95.1 113 3.77 1.513 16.90 1 1 5 2
## Ford Pantera L 15.8 8 351.0 264 4.22 3.170 14.50 0 1 5 4
## Ferrari Dino 19.7 6 145.0 175 3.62 2.770 15.50 0 1 5 6
## Maserati Bora 15.0 8 301.0 335 3.54 3.570 14.60 0 1 5 8
## Volvo 142E 21.4 4 121.0 109 4.11 2.780 18.60 1 1 4 2Car data with lots of variables. It’s multivariate. This makes things more complex.
The iris data was also multivariate.
From r help: “Draw star plots or segment diagrams of a multivariate data set. With one single location, also draws ‘spider’ (or ‘radar’) plots. Each star plot or segment diagram represents one row of the input x. Variables (columns) start on the right and wind counterclockwise around the circle. The size of the (scaled) column is shown by the distance from the center to the point on the star or the radius of the segment representing the variable.” From nist.gov: “The star plot can be used to answer the following questions: 1) What variables are dominant for a given observation? 2) Which observations are most similar, i.e., are there clusters of observations? 3)Are there outliers?
x = iris[,1:4]
stars(x)
stars(x, key.loc= c(17,0), full=FALSE,ncol=10)
The longer the radius, the more variance the variable
Back to the mtcars dataset
? mtcars # Gives us information on this dataset.## starting httpd help server ... donecars <- mtcarsThe variable “am” is the transmission variable (0= automatic, 1= manual). It was pulled from the Motor Trend Car Road Tests 1974 data.
stars(cars[,1:7], key.loc=c(14, 1.5))
This dataset makes more intuitive sense. I get it. The Camaro Z28 has very short spokes on the bottomr right. A big reason is beacuse it’s mpg is one of the lowest compared to the other cars. On the other hand, it’s engine displacement is one of the highest, therefore it’s spoke is longer. I’ll say that’s my favorite, because my Dad owned one in his heyday, but traded it in for a minivan when my brother and I were born.
#Variations: Spider plot or Radar plot
stars(cars[, 1:7], locations = c(0,0), radius = FALSE, key.loc=c(0,0), main="Motor Trend
Cars", lty = 2)
This is incredibly difficult ot understand.
Segment diagram represents multivariate data by different segments
stars(mtcars, draw.segments = TRUE, key.loc = c(13,1.5))
The sedans like the Toyota Corolla and Honda Civic have the best fuel economy, whereas all of the sports cars and heavier vehicles have the worst (Camaro Z28, Pontiac Firebird, Mercedes 280c)
Chernoff face representation of multivariate data.
#install.packages("TeachingDemos")
library(TeachingDemos)
faces(mtcars)
Parallel coordinate plot is a straightforward way of visualizing multivariate data. Back to the iris data.
x=iris[,1:4] # x is a data frame with 4 numerical variables in Iris dataset
#matplot(1:4, t(x), type = 'l') # this is a plot of the raw data.
matplot(1:4, t(x), main = "Simple Plot of Raw Data", type = 'l',col=rainbow(3)[iris$Species]) # Species information is color coded
legend("topright", levels(iris$Species),fill=rainbow(3)) #add legend to figure.
Kind of confused what I’m looking at as it relates to the data.
library(lattice)
parallelplot(~iris[1:4], main="Parallel Coordinate Plots Normalize The Data First", groups = Species, iris, horizontal.axis = F) # Generate a parallel coordinate plot
Andrew’s Curve
A further development of the parallel coordinate plot.In an Andrews plot each row 𝑢sub𝑖^−𝑇 = (𝑢sub𝑞, … . , 𝑢sub(𝑖𝑞) of a data table with q attributes is represented by a line, similarly to parallel coordinates. In this case it is a curve defined by the following trigonometric function: Since there seems to be no built-in function, we could generate Andrews curves using these code from here http://addictedtor.free.fr/graphiques/graphcode.php?graph=47:
andrews.curves <- function(xdf, cls, npts=101, title="Classes") {
n <- nrow(xdf)
clss <- as.factor(cls)
xpts <- seq(0, 2*pi, length=npts)
X <- xpts
for (i in 1:n) {
xi <- unname(unlist(xdf[i, ]))
ys <- andrews.function(xi, npts)
X <- cbind(X, ys)
}
ymin <- min(X[, 2:(n+1)])
ymax <- max(X[, 2:(n+1)])
plot(0, 0, type="n", xlim=c(0, 2*pi), ylim=c(ymin, ymax),
main="Andrews' Curves", xlab="", ylab="")
clrs <- as.integer(clss)
for (i in 2:(n+1)) {
lines(X[, 1], X[, i], col=clrs[i-1])
}
legend(4, ymax, levels(clss), col=c(1:nlevels(clss)), lty=1)
return(X)
}
andrews.function <- function (xs, no.pts=101) {
n <- length(xs)
xpts <- seq(0, 2*pi, length=no.pts)
ypts <- c()
for (p in xpts) {
y <- xs[1]
for (i in 2:n) {
if (i %% 2 == 1) { y <- y + xs[i]*sin((i %/% 2)*p) }
else { y <- y + xs[i]*cos((i %/% 2)*p) }
}
ypts <- c(ypts, y)
}
return(ypts)
}
data(iris)
old<- par(bg="whitesmoke")
andrews.curves(iris[,1:4], iris[,5], title="Iris Data")
## X ys ys ys ys ys ys
## [1,] 0.00000000 8.800000 8.100000 8.100000 7.900000 8.800000 9.700000
## [2,] 0.06283185 8.879423 8.180410 8.173736 7.986492 8.879226 9.795894
## [3,] 0.12566371 8.941585 8.245527 8.231417 8.057272 8.940796 9.869747
## [4,] 0.18849556 8.986295 8.295151 8.272870 8.112118 8.984523 9.921379
## [5,] 0.25132741 9.013468 8.329177 8.298024 8.150904 9.010327 9.950770
## [6,] 0.31415927 9.023125 8.347597 8.306906 8.173604 9.018231 9.958056
## [7,] 0.37699112 9.015386 8.350498 8.299640 8.180288 9.008363 9.943527
## [8,] 0.43982297 8.990470 8.338057 8.276444 8.171118 8.980953 9.907620
## [9,] 0.50265482 8.948694 8.310541 8.237627 8.146347 8.936325 9.850908
## [10,] 0.56548668 8.890461 8.268297 8.183580 8.106313 8.874894 9.774096
## [11,] 0.62831853 8.816262 8.211754 8.114779 8.051434 8.797164 9.678008
## [12,] 0.69115038 8.726666 8.141410 8.031770 7.982203 8.703718 9.563575
## [13,] 0.75398224 8.622314 8.057830 7.935169 7.899182 8.595211 9.431824
## [14,] 0.81681409 8.503913 7.961639 7.825652 7.802991 8.472368 9.283864
## [15,] 0.87964594 8.372226 7.853514 7.703948 7.694308 8.335969 9.120874
## [16,] 0.94247780 8.228069 7.734176 7.570832 7.573856 8.186847 8.944085
## [17,] 1.00530965 8.072297 7.604384 7.427116 7.442399 8.025880 8.754770
## [18,] 1.06814150 7.905802 7.464925 7.273645 7.300731 7.853977 8.554230
## [19,] 1.13097336 7.729501 7.316611 7.111284 7.149672 7.672079 8.343776
## [20,] 1.19380521 7.544329 7.160267 6.940914 6.990057 7.481142 8.124718
## [21,] 1.25663706 7.351235 6.996727 6.763424 6.822734 7.282137 7.898356
## [22,] 1.31946891 7.151170 6.826825 6.579704 6.648552 7.076039 7.665959
## [23,] 1.38230077 6.945081 6.651391 6.390638 6.468358 6.863820 7.428765
## [24,] 1.44513262 6.733910 6.471244 6.197099 6.282988 6.646444 7.187961
## [25,] 1.50796447 6.518581 6.287186 5.999941 6.093268 6.424860 6.944683
## [26,] 1.57079633 6.300000 6.100000 5.800000 5.900000 6.200000 6.700000
## [27,] 1.63362818 6.079048 5.910443 5.598082 5.703967 5.972769 6.454917
## [28,] 1.69646003 5.856578 5.719244 5.394966 5.505922 5.744044 6.210362
## [29,] 1.75929189 5.633412 5.527103 5.191398 5.306594 5.514674 5.967191
## [30,] 1.82212374 5.410340 5.334685 4.988089 5.106675 5.285471 5.726178
## [31,] 1.88495559 5.188116 5.142625 4.785716 4.906829 5.057215 5.488023
## [32,] 1.94778745 4.967457 4.951520 4.584917 4.707685 4.830645 5.253347
## [33,] 2.01061930 4.749046 4.761935 4.386297 4.509840 4.606468 5.022697
## [34,] 2.07345115 4.533526 4.574403 4.190422 4.313858 4.385351 4.796551
## [35,] 2.13628300 4.321509 4.389423 3.997825 4.120273 4.167927 4.575321
## [36,] 2.19911486 4.113572 4.207465 3.809006 3.929588 3.954793 4.359360
## [37,] 2.26194671 3.910258 4.028970 3.624434 3.742279 3.746516 4.148966
## [38,] 2.32477856 3.712083 3.854357 3.444550 3.558799 3.543628 3.944397
## [39,] 2.38761042 3.519534 3.684018 3.269770 3.379576 3.346637 3.745869
## [40,] 2.45044227 3.333073 3.518330 3.100485 3.205021 3.156022 3.553572
## [41,] 2.51327412 3.153143 3.357652 2.937070 3.035529 2.972242 3.367675
## [42,] 2.57610598 2.980166 3.202330 2.779881 2.871479 2.795733 3.188338
## [43,] 2.63893783 2.814547 3.052700 2.629264 2.713245 2.626916 3.015716
## [44,] 2.70176968 2.656681 2.909095 2.485551 2.561190 2.466198 2.849969
## [45,] 2.76460154 2.506950 2.771839 2.349071 2.415673 2.313973 2.691271
## [46,] 2.82743339 2.365729 2.641258 2.220145 2.277054 2.170624 2.539815
## [47,] 2.89026524 2.233386 2.517678 2.099092 2.145688 2.036528 2.395821
## [48,] 2.95309709 2.110284 2.401427 1.986232 2.021937 1.912055 2.259539
## [49,] 3.01592895 1.996782 2.292839 1.881883 1.906161 1.797570 2.131252
## [50,] 3.07876080 1.893236 2.192249 1.786365 1.798726 1.693433 2.011286
## [51,] 3.14159265 1.800000 2.100000 1.700000 1.700000 1.600000 1.900000
## [52,] 3.20442451 1.717423 2.016436 1.623110 1.610354 1.517620 1.797798
## [53,] 3.26725636 1.645849 1.941906 1.556016 1.530161 1.446637 1.705119
## [54,] 3.33008821 1.585616 1.876760 1.499040 1.459793 1.387387 1.622442
## [55,] 3.39292007 1.537054 1.821346 1.452498 1.399619 1.340196 1.550276
## [56,] 3.45575192 1.500482 1.776010 1.416700 1.350003 1.305376 1.489157
## [57,] 3.51858377 1.476202 1.741090 1.391947 1.311300 1.283224 1.439647
## [58,] 3.58141563 1.464499 1.716913 1.378525 1.283852 1.274016 1.402319
## [59,] 3.64424748 1.465637 1.703790 1.376704 1.267984 1.278006 1.377753
## [60,] 3.70707933 1.479851 1.702015 1.386732 1.263999 1.295418 1.366527
## [61,] 3.76991118 1.507345 1.711853 1.408828 1.272173 1.326443 1.369206
## [62,] 3.83274304 1.548286 1.733543 1.443183 1.292749 1.371235 1.386330
## [63,] 3.89557489 1.602802 1.767286 1.489947 1.325935 1.429905 1.418408
## [64,] 3.95840674 1.670971 1.813244 1.549232 1.371893 1.502516 1.465903
## [65,] 4.02123860 1.752821 1.871533 1.621100 1.430740 1.589079 1.529221
## [66,] 4.08407045 1.848324 1.942217 1.705562 1.502537 1.689546 1.608702
## [67,] 4.14690230 1.957391 2.025305 1.802572 1.587289 1.803809 1.704606
## [68,] 4.20973416 2.079867 2.120744 1.912024 1.684938 1.931692 1.817109
## [69,] 4.27256601 2.215530 2.228419 2.033746 1.795359 2.072952 1.946285
## [70,] 4.33539786 2.364083 2.348146 2.167498 1.918355 2.227271 2.092107
## [71,] 4.39822972 2.525158 2.479666 2.312969 2.053659 2.394256 2.254431
## [72,] 4.46106157 2.698308 2.622653 2.469773 2.200925 2.573439 2.432995
## [73,] 4.52389342 2.883008 2.776699 2.637451 2.359732 2.764270 2.627414
## [74,] 4.58672527 3.078656 2.941323 2.815468 2.529578 2.966123 2.837172
## [75,] 4.64955713 3.284573 3.115968 3.003213 2.709886 3.178294 3.061626
## [76,] 4.71238898 3.500000 3.300000 3.200000 2.900000 3.400000 3.300000
## [77,] 4.77522083 3.724106 3.492711 3.405072 3.099188 3.630386 3.551392
## [78,] 4.83805269 3.955989 3.693322 3.617601 3.306644 3.868522 3.814771
## [79,] 4.90088454 4.194677 3.900986 3.836691 3.521496 4.113415 4.088988
## [80,] 4.96371639 4.439137 4.114792 4.061388 3.742803 4.364006 4.372777
## [81,] 5.02654825 4.688277 4.333768 4.290678 3.969565 4.619179 4.664763
## [82,] 5.08938010 4.940955 4.556893 4.523495 4.200728 4.877768 4.963478
## [83,] 5.15221195 5.195985 4.783095 4.758734 4.435190 5.138563 5.267364
## [84,] 5.21504380 5.452143 5.011266 4.995248 4.671811 5.400319 5.574787
## [85,] 5.27787566 5.708179 5.240265 5.231864 4.909415 5.661762 5.884055
## [86,] 5.34070751 5.962821 5.468929 5.467387 5.146805 5.921600 6.193427
## [87,] 5.40353936 6.214789 5.696077 5.700613 5.382768 6.178532 6.501129
## [88,] 5.46637122 6.462801 5.920527 5.930333 5.616085 6.431255 6.805371
## [89,] 5.52920307 6.705582 6.141098 6.155346 5.845540 6.678479 7.104364
## [90,] 5.59203492 6.941879 6.356622 6.374467 6.069931 6.918930 7.396333
## [91,] 5.65486678 7.170464 6.565955 6.586537 6.288078 7.151365 7.679538
## [92,] 5.71769863 7.390146 6.767982 6.790430 6.498832 7.374579 7.952285
## [93,] 5.78053048 7.599784 6.961630 6.985067 6.701086 7.587414 8.212946
## [94,] 5.84336234 7.798288 7.145875 7.169418 6.893780 7.788771 8.459970
## [95,] 5.90619419 7.984637 7.319749 7.342517 7.075914 7.977615 8.691904
## [96,] 5.96902604 8.157877 7.482349 7.503462 7.246553 8.152983 8.907398
## [97,] 6.03185789 8.317137 7.632845 7.651431 7.404834 8.313995 9.105224
## [98,] 6.09468975 8.461627 7.770483 7.785679 7.549974 8.459856 9.284283
## [99,] 6.15752160 8.590652 7.894594 7.905550 7.681272 8.589863 9.443614
## [100,] 6.22035345 8.703610 8.004596 8.010481 7.798120 8.703412 9.582406
## [101,] 6.28318531 8.800000 8.100000 8.100000 7.900000 8.800000 9.700000
## ys ys ys ys ys ys ys ys
## [1,] 8.300000 8.600000 7.500000 8.100000 9.300000 8.400000 7.900000 7.400000
## [2,] 8.378832 8.685900 7.580607 8.187280 9.385308 8.492179 7.981198 7.462361
## [3,] 8.439231 8.754906 7.646316 8.260414 9.452541 8.567440 8.048669 7.511069
## [4,] 8.481043 8.806804 7.696922 8.319140 9.501490 8.625542 8.102173 7.545959
## [5,] 8.504241 8.841479 7.732318 8.363273 9.532054 8.666348 8.141546 7.566939
## [6,] 8.508921 8.858921 7.752491 8.392702 9.544238 8.689823 8.166695 7.573990
## [7,] 8.495305 8.859221 7.757520 8.407391 9.538154 8.696033 8.177601 7.567163
## [8,] 8.463730 8.842566 7.747574 8.407375 9.514014 8.685144 8.174315 7.546581
## [9,] 8.414646 8.809239 7.722910 8.392764 9.472131 8.657414 8.156958 7.512432
## [10,] 8.348606 8.759611 7.683864 8.363735 9.412909 8.613194 8.125719 7.464971
## [11,] 8.266262 8.694139 7.630852 8.320532 9.336844 8.552918 8.080852 7.404516
## [12,] 8.168353 8.613357 7.564358 8.263465 9.244511 8.477100 8.022671 7.331444
## [13,] 8.055696 8.517872 7.484933 8.192902 9.136563 8.386327 7.951551 7.246187
## [14,] 7.929179 8.408355 7.393185 8.109270 9.013719 8.281252 7.867918 7.149228
## [15,] 7.789746 8.285535 7.289772 8.013046 8.876762 8.162586 7.772252 7.041098
## [16,] 7.638389 8.150192 7.175398 7.904758 8.726528 8.031094 7.665078 6.922373
## [17,] 7.476136 8.003147 7.050801 7.784977 8.563895 7.887580 7.546962 6.793663
## [18,] 7.304044 7.845257 6.916750 7.654314 8.389783 7.732888 7.418508 6.655616
## [19,] 7.123180 7.677405 6.774033 7.513414 8.205139 7.567888 7.280353 6.508905
## [20,] 6.934620 7.500494 6.623455 7.362954 8.010932 7.393472 7.133164 6.354231
## [21,] 6.739432 7.315439 6.465825 7.203636 7.808144 7.210545 6.977628 6.192311
## [22,] 6.538670 7.123159 6.301956 7.036183 7.597766 7.020017 6.814455 6.023880
## [23,] 6.333366 6.924572 6.132653 6.861335 7.380786 6.822801 6.644368 5.849682
## [24,] 6.124519 6.720588 5.958710 6.679847 7.158188 6.619800 6.468102 5.670468
## [25,] 5.913091 6.512105 5.780907 6.492479 6.930942 6.411908 6.286398 5.486989
## [26,] 5.700000 6.300000 5.600000 6.300000 6.700000 6.200000 6.100000 5.300000
## [27,] 5.486115 6.085129 5.416722 6.103178 6.466292 5.984932 5.909654 5.110246
## [28,] 5.272253 5.868322 5.231778 5.902781 6.230722 5.767534 5.716103 4.918468
## [29,] 5.059173 5.650379 5.045841 5.699571 5.994165 5.548608 5.520081 4.725394
## [30,] 4.847579 5.432068 4.859554 5.494305 5.757461 5.328926 5.322316 4.531741
## [31,] 4.638116 5.214124 4.673526 5.287730 5.521418 5.109229 5.123526 4.338209
## [32,] 4.431373 4.997248 4.488332 5.080582 5.286810 4.890225 4.924417 4.145484
## [33,] 4.227881 4.782106 4.304513 4.873582 5.054372 4.672589 4.725678 3.954229
## [34,] 4.028119 4.569332 4.122578 4.667441 4.824806 4.456963 4.527986 3.765094
## [35,] 3.832514 4.359525 3.943006 4.462851 4.598777 4.243958 4.332001 3.578702
## [36,] 3.641449 4.153252 3.766243 4.260490 4.376917 4.034154 4.138366 3.395661
## [37,] 3.455263 3.951052 3.592713 4.061017 4.159825 3.828103 3.947708 3.216554
## [38,] 3.274259 3.753435 3.422811 3.865078 3.948071 3.626332 3.760636 3.041945
## [39,] 3.098710 3.560885 3.256915 3.673297 3.742195 3.429340 3.577739 2.872375
## [40,] 2.928863 3.373867 3.095381 3.486283 3.542713 3.237610 3.399592 2.708365
## [41,] 2.764947 3.192823 2.938553 3.304627 3.350118 3.051602 3.226750 2.550414
## [42,] 2.607176 3.018181 2.786762 3.128902 3.164883 2.871764 3.059752 2.399004
## [43,] 2.455760 2.850353 2.640331 2.959662 2.987461 2.698529 2.899118 2.254592
## [44,] 2.310906 2.689742 2.499577 2.797447 2.818294 2.532320 2.745352 2.117618
## [45,] 2.172825 2.536741 2.364816 2.642777 2.657808 2.373553 2.598942 1.988504
## [46,] 2.041737 2.391737 2.236363 2.496152 2.506420 2.222638 2.460356 1.867651
## [47,] 1.917875 2.255113 2.114536 2.358058 2.364538 2.079982 2.330047 1.755440
## [48,] 1.801490 2.127251 1.999656 2.228959 2.232564 1.945989 2.208450 1.652235
## [49,] 1.692851 2.008526 1.892051 2.109303 2.110892 1.821060 2.095981 1.558381
## [50,] 1.592250 1.899318 1.792052 1.999514 1.999910 1.705597 1.993038 1.474201
## [51,] 1.500000 1.800000 1.700000 1.900000 1.900000 1.600000 1.900000 1.400000
## [52,] 1.416437 1.710946 1.616239 1.811143 1.811538 1.504667 1.817225 1.336062
## [53,] 1.341918 1.632527 1.541117 1.733303 1.734892 1.419993 1.745048 1.282648
## [54,] 1.276822 1.565107 1.474988 1.666815 1.670420 1.346369 1.683782 1.239996
## [55,] 1.221543 1.509044 1.418204 1.611988 1.618469 1.284175 1.633715 1.208322
## [56,] 1.176489 1.464686 1.371116 1.569101 1.579369 1.233784 1.595108 1.187813
## [57,] 1.142076 1.432367 1.334068 1.538403 1.553434 1.195554 1.568193 1.178630
## [58,] 1.118724 1.412404 1.307395 1.520110 1.540956 1.169826 1.553170 1.180904
## [59,] 1.106850 1.405092 1.291421 1.514401 1.542200 1.156917 1.550207 1.194734
## [60,] 1.106861 1.410701 1.286447 1.521421 1.557402 1.157118 1.559437 1.220185
## [61,] 1.119148 1.429468 1.292755 1.541271 1.586763 1.170689 1.580951 1.257287
## [62,] 1.144076 1.461595 1.310594 1.574011 1.630441 1.197853 1.614805 1.306032
## [63,] 1.181978 1.507244 1.340183 1.619656 1.688554 1.238789 1.661007 1.366371
## [64,] 1.233147 1.566529 1.381699 1.678172 1.761165 1.293632 1.719524 1.438214
## [65,] 1.297826 1.639512 1.435276 1.749478 1.848285 1.362461 1.790271 1.521425
## [66,] 1.376201 1.726201 1.500996 1.833439 1.949866 1.445300 1.873119 1.615824
## [67,] 1.468396 1.826541 1.578887 1.929867 2.065793 1.542108 1.967883 1.721181
## [68,] 1.574460 1.940412 1.668920 2.038521 2.195886 1.652781 2.074327 1.837219
## [69,] 1.694365 2.067625 1.770997 2.159101 2.339891 1.777142 2.192162 1.963610
## [70,] 1.827999 2.207918 1.884958 2.291252 2.497481 1.914940 2.321042 2.099975
## [71,] 1.975158 2.360954 2.010568 2.434561 2.668249 2.065848 2.460568 2.245885
## [72,] 2.135546 2.526318 2.147522 2.588556 2.851711 2.229460 2.610283 2.400858
## [73,] 2.308768 2.703517 2.295437 2.752709 3.047303 2.405289 2.769676 2.564362
## [74,] 2.494331 2.891978 2.453856 2.926437 3.254378 2.592767 2.938181 2.735816
## [75,] 2.691640 3.091049 2.622247 3.109098 3.472212 2.791247 3.115180 2.914588
## [76,] 2.900000 3.300000 2.800000 3.300000 3.700000 3.000000 3.300000 3.100000
## [77,] 3.118616 3.518025 2.986432 3.498399 3.936862 3.218222 3.491923 3.291331
## [78,] 3.346597 3.744244 3.180789 3.703503 4.181844 3.445033 3.690181 3.487815
## [79,] 3.582961 3.977710 3.382248 3.914474 4.433925 3.679482 3.893964 3.688650
## [80,] 3.826637 4.217410 3.589923 4.130433 4.692017 3.920551 4.102423 3.892998
## [81,] 4.076474 4.462270 3.802867 4.350466 4.954975 4.167164 4.314670 4.099987
## [82,] 4.331246 4.711165 4.020080 4.573625 5.221602 4.418187 4.529790 4.308723
## [83,] 4.589665 4.962924 4.240517 4.798933 5.490658 4.672442 4.746838 4.518286
## [84,] 4.850385 5.216337 4.463091 5.025394 5.760863 4.928706 4.964849 4.727741
## [85,] 5.112018 5.470163 4.686683 5.251993 6.030911 5.185731 5.182843 4.936142
## [86,] 5.373141 5.723141 4.910150 5.477707 6.299477 5.442239 5.399830 5.142535
## [87,] 5.632309 5.973995 5.132335 5.701506 6.565223 5.696944 5.614815 5.345969
## [88,] 5.888067 6.221449 5.352072 5.922364 6.826813 5.948552 5.826806 5.545497
## [89,] 6.138965 6.464231 5.568201 6.139261 7.082921 6.195776 6.034819 5.740183
## [90,] 6.383566 6.701085 5.779571 6.351193 7.332239 6.437343 6.237884 5.929111
## [91,] 6.620464 6.930783 5.985053 6.557177 7.573488 6.672005 6.435053 6.111389
## [92,] 6.848291 7.152131 6.183549 6.756254 7.805429 6.898548 6.625404 6.286152
## [93,] 7.065736 7.363978 6.374000 6.947503 8.026870 7.115802 6.808048 6.452574
## [94,] 7.271548 7.565228 6.555392 7.130037 8.236676 7.322650 6.982133 6.609866
## [95,] 7.464556 7.754847 6.726771 7.303017 8.433780 7.518034 7.146852 6.757289
## [96,] 7.643673 7.931870 6.887244 7.465651 8.617187 7.700968 7.301447 6.894153
## [97,] 7.807909 8.095409 7.035987 7.617204 8.785984 7.870540 7.445214 7.019821
## [98,] 7.956376 8.244660 7.172254 7.756996 8.939346 8.025922 7.577506 7.133720
## [99,] 8.088298 8.378907 7.295383 7.884414 9.076541 8.166373 7.697736 7.235336
## [100,] 8.203019 8.497528 7.404794 7.998909 9.196936 8.291249 7.805385 7.324222
## [101,] 8.300000 8.600000 7.500000 8.100000 9.300000 8.400000 7.900000 7.400000
## ys ys ys ys ys ys ys
## [1,] 10.000000 10.500000 9.700000 8.900000 9.800000 9.200000 9.000000
## [2,] 10.065878 10.582349 9.770778 8.978635 9.896880 9.284322 9.098458
## [3,] 10.112575 10.640738 9.819614 9.038443 9.973677 9.348611 9.179973
## [4,] 10.139962 10.675046 9.846427 9.079272 10.030173 9.392696 9.244280
## [5,] 10.148022 10.685323 9.851294 9.101099 10.066281 9.416543 9.291217
## [6,] 10.136850 10.671781 9.834449 9.104027 10.082049 9.420245 9.320724
## [7,] 10.106649 10.634791 9.796278 9.088283 10.077653 9.404028 9.332846
## [8,] 10.057728 10.574878 9.737308 9.054213 10.053395 9.368239 9.327722
## [9,] 9.990496 10.492711 9.658207 9.002277 10.009695 9.313344 9.305589
## [10,] 9.905460 10.389095 9.559765 8.933039 9.947085 9.239920 9.266776
## [11,] 9.803214 10.264959 9.442894 8.847164 9.866205 9.148648 9.211696
## [12,] 9.684438 10.121347 9.308605 8.745404 9.767785 9.040301 9.140842
## [13,] 9.549889 9.959399 9.158005 8.628593 9.652648 8.915739 9.054782
## [14,] 9.400393 9.780344 8.992277 8.497634 9.521689 8.775895 8.954149
## [15,] 9.236836 9.585483 8.812668 8.353488 9.375869 8.621767 8.839638
## [16,] 9.060158 9.376174 8.620478 8.197167 9.216208 8.454404 8.711995
## [17,] 8.871345 9.153818 8.417039 8.029719 9.043766 8.274900 8.572013
## [18,] 8.671417 8.919845 8.203707 7.852219 8.859637 8.084376 8.420518
## [19,] 8.461425 8.675700 7.981845 7.665758 8.664940 7.883975 8.258371
## [20,] 8.242436 8.422825 7.752808 7.471432 8.460803 7.674847 8.086450
## [21,] 8.015532 8.162653 7.517933 7.270334 8.248356 7.458144 7.905650
## [22,] 7.781798 7.896588 7.278526 7.063539 8.028721 7.235004 7.716876
## [23,] 7.542315 7.625998 7.035850 6.852104 7.803004 7.006547 7.521029
## [24,] 7.298154 7.352205 6.791115 6.637052 7.572286 6.773863 7.319011
## [25,] 7.050371 7.076472 6.545472 6.419370 7.337615 6.538010 7.111710
## [26,] 6.800000 6.800000 6.300000 6.200000 7.100000 6.300000 6.900000
## [27,] 6.548047 6.523916 6.055706 5.979836 6.860407 6.060802 6.684735
## [28,] 6.295488 6.249273 5.813516 5.759719 6.619754 5.821331 6.466745
## [29,] 6.043264 5.977042 5.574276 5.540435 6.378906 5.582449 6.246837
## [30,] 5.792279 5.708117 5.338745 5.322710 6.138678 5.344961 6.025784
## [31,] 5.543396 5.443303 5.107600 5.107215 5.899826 5.109615 5.804335
## [32,] 5.297440 5.183329 4.881436 4.894561 5.663056 4.877101 5.583203
## [33,] 5.055190 4.928842 4.660766 4.685303 5.429017 4.648052 5.363072
## [34,] 4.817388 4.680413 4.446029 4.479943 5.198309 4.423048 5.144594
## [35,] 4.584730 4.438542 4.237590 4.278932 4.971482 4.202616 4.928391
## [36,] 4.357876 4.203664 4.035753 4.082670 4.749040 3.987236 4.715056
## [37,] 4.137444 3.976152 3.840761 3.891520 4.531447 3.777344 4.505155
## [38,] 3.924016 3.756329 3.652809 3.705804 4.319131 3.573337 4.299228
## [39,] 3.718140 3.544475 3.472050 3.525813 4.112486 3.375577 4.097795
## [40,] 3.520332 3.340830 3.298602 3.351812 3.911885 3.184400 3.901352
## [41,] 3.331078 3.145610 3.132561 3.184045 3.717675 3.000118 3.710381
## [42,] 3.150836 2.959009 2.974008 3.022744 3.530193 2.823028 3.525346
## [43,] 2.980043 2.781212 2.823014 2.868130 3.349764 2.653413 3.346704
## [44,] 2.819112 2.612400 2.679657 2.720424 3.176709 2.491553 3.174898
## [45,] 2.668437 2.452758 2.544021 2.579847 3.011352 2.337727 3.010365
## [46,] 2.528398 2.302484 2.416208 2.446631 2.854019 2.192216 2.853540
## [47,] 2.399357 2.161792 2.296345 2.321017 2.705049 2.055311 2.704851
## [48,] 2.281664 2.030919 2.184586 2.203261 2.564790 1.927313 2.564727
## [49,] 2.175658 1.910128 2.081119 2.093640 2.433606 1.808539 2.433593
## [50,] 2.081665 1.799714 1.986169 1.992448 2.311877 1.699319 2.311876
## [51,] 2.000000 1.700000 1.900000 1.900000 2.200000 1.600000 2.200000
## [52,] 1.930967 1.611342 1.822914 1.816634 2.098389 1.510947 2.098388
## [53,] 1.874858 1.534129 1.755253 1.742707 2.007473 1.432539 2.007460
## [54,] 1.831949 1.468775 1.697395 1.678594 1.927693 1.365169 1.927630
## [55,] 1.802501 1.415722 1.649751 1.624685 1.859503 1.309241 1.859306
## [56,] 1.786757 1.375433 1.612764 1.581383 1.803361 1.265165 1.802882
## [57,] 1.784938 1.348384 1.586897 1.549099 1.759728 1.233353 1.758742
## [58,] 1.797241 1.335062 1.572631 1.528242 1.729060 1.214215 1.727248
## [59,] 1.823834 1.335951 1.570455 1.519220 1.711801 1.208152 1.708741
## [60,] 1.864852 1.351529 1.580858 1.522429 1.708382 1.215547 1.703535
## [61,] 1.920393 1.382254 1.604320 1.538246 1.719206 1.236763 1.711911
## [62,] 1.990515 1.428558 1.641300 1.567024 1.744643 1.272128 1.734110
## [63,] 2.075227 1.490834 1.692227 1.609081 1.785026 1.321936 1.770335
## [64,] 2.174491 1.569424 1.757491 1.664692 1.840637 1.386431 1.820735
## [65,] 2.288212 1.664612 1.837427 1.734083 1.911702 1.465805 1.885410
## [66,] 2.416235 1.776613 1.932309 1.817423 1.998382 1.560185 1.964398
## [67,] 2.558343 1.905558 2.042337 1.914813 2.100767 1.669633 2.057676
## [68,] 2.714252 2.051493 2.167631 2.026285 2.218867 1.794128 2.165151
## [69,] 2.883606 2.214361 2.308216 2.151787 2.352606 1.933571 2.286660
## [70,] 3.065976 2.394000 2.464017 2.291186 2.501816 2.087771 2.421963
## [71,] 3.260861 2.590134 2.634853 2.444256 2.666234 2.256446 2.570743
## [72,] 3.467679 2.802367 2.820429 2.610677 2.845495 2.439212 2.732602
## [73,] 3.685775 3.030181 3.020329 2.790030 3.039130 2.635587 2.907060
## [74,] 3.914413 3.272928 3.234018 2.981798 3.246564 2.844987 3.093555
## [75,] 4.152783 3.529836 3.460836 3.185361 3.467116 3.066722 3.291444
## [76,] 4.400000 3.800000 3.700000 3.400000 3.700000 3.300000 3.500000
## [77,] 4.655107 4.082392 3.950602 3.624895 3.944324 3.543929 3.718419
## [78,] 4.917079 4.375861 4.211617 3.859131 4.199096 3.797519 3.945821
## [79,] 5.184825 4.679136 4.481903 4.101700 4.463228 4.059685 4.181253
## [80,] 5.457198 4.990838 4.760210 4.351506 4.735538 4.329255 4.423693
## [81,] 5.732997 5.309483 5.045186 4.607375 5.014763 4.604975 4.672058
## [82,] 6.010973 5.633496 5.335389 4.868058 5.299563 4.885518 4.925210
## [83,] 6.289840 5.961219 5.629294 5.132242 5.588528 5.169494 5.181959
## [84,] 6.568281 6.290925 5.925310 5.398560 5.880195 5.455456 5.441076
## [85,] 6.844958 6.620834 6.221786 5.665601 6.173051 5.741916 5.701298
## [86,] 7.118517 6.949123 6.517034 5.931919 6.465550 6.027353 5.961338
## [87,] 7.387604 7.273943 6.809334 6.196051 6.756124 6.310227 6.219893
## [88,] 7.650868 7.593438 7.096958 6.456522 7.043195 6.588989 6.475655
## [89,] 7.906976 7.905758 7.378183 6.711861 7.325188 6.862097 6.727321
## [90,] 8.154620 8.209075 7.651303 6.960617 7.600544 7.128029 6.973601
## [91,] 8.392529 8.501604 7.914652 7.201365 7.867735 7.385292 7.213226
## [92,] 8.619475 8.781614 8.166616 7.432724 8.125274 7.632440 7.444965
## [93,] 8.834288 9.047450 8.405647 7.653366 8.371732 7.868083 7.667627
## [94,] 9.035858 9.297540 8.630282 7.862031 8.605745 8.090901 7.880072
## [95,] 9.223150 9.530417 8.839154 8.057534 8.826029 8.299654 8.081222
## [96,] 9.395209 9.744730 9.031005 8.238779 9.031391 8.493194 8.270067
## [97,] 9.551166 9.939254 9.204700 8.404767 9.220735 8.670473 8.445671
## [98,] 9.690247 10.112903 9.359235 8.554604 9.393076 8.830553 8.607184
## [99,] 9.811776 10.264738 9.493747 8.687510 9.547544 8.972611 8.753840
## [100,] 9.915181 10.393978 9.607522 8.802821 9.683392 9.095950 8.884970
## [101,] 10.000000 10.500000 9.700000 8.900000 9.800000 9.200000 9.000000
## ys ys ys ys ys ys ys ys
## [1,] 9.200000 8.400000 8.900000 8.4000000 8.200000 8.800000 8.900000 8.800000
## [2,] 9.283731 8.454110 8.996289 8.5110158 8.292968 8.890602 8.985702 8.879621
## [3,] 9.346258 8.490663 9.071337 8.6050398 8.370594 8.961156 9.054118 8.942373
## [4,] 9.387445 8.509571 9.124984 8.6817564 8.432627 9.011497 9.105033 8.988066
## [5,] 9.407315 8.510851 9.157251 8.7409549 8.478915 9.041609 9.138337 9.016610
## [6,] 9.406041 8.494624 9.168324 8.7825278 8.509400 9.051626 9.154027 9.028019
## [7,] 9.383947 8.461114 9.158558 8.8064704 8.524122 9.041827 9.152198 9.022408
## [8,] 9.341499 8.410641 9.128466 8.8128774 8.523213 9.012628 9.133048 8.999988
## [9,] 9.279296 8.343623 9.078707 8.8019401 8.506891 8.964579 9.096869 8.961063
## [10,] 9.198065 8.260563 9.010077 8.7739417 8.475463 8.898350 9.044044 8.906028
## [11,] 9.098648 8.162050 8.923500 8.7292532 8.429311 8.814721 8.975041 8.835361
## [12,] 8.981988 8.048748 8.820005 8.6683269 8.368894 8.714576 8.890409 8.749615
## [13,] 8.849121 7.921392 8.700722 8.5916909 8.294739 8.598885 8.790769 8.649417
## [14,] 8.701161 7.780780 8.566857 8.4999424 8.207433 8.468694 8.676810 8.535458
## [15,] 8.539286 7.627763 8.419681 8.3937405 8.107617 8.325110 8.549278 8.408484
## [16,] 8.364724 7.463241 8.260512 8.2737987 7.995980 8.169290 8.408970 8.269290
## [17,] 8.178739 7.288149 8.090696 8.1408783 7.873249 8.002424 8.256730 8.118714
## [18,] 7.982618 7.103455 7.911595 7.9957798 7.740186 7.825722 8.093433 7.957626
## [19,] 7.777654 6.910148 7.724566 7.8393362 7.597576 7.640403 7.919983 7.786923
## [20,] 7.565138 6.709231 7.530947 7.6724051 7.446222 7.447678 7.737307 7.607517
## [21,] 7.346341 6.501714 7.332044 7.4958618 7.286938 7.248741 7.546341 7.420334
## [22,] 7.122505 6.288605 7.129115 7.3105923 7.120541 7.044756 7.348028 7.226301
## [23,] 6.894831 6.070905 6.923358 7.1174869 6.947848 6.836845 7.143310 7.026343
## [24,] 6.664472 5.849598 6.715903 6.9174343 6.769667 6.626083 6.933122 6.821377
## [25,] 6.432519 5.625650 6.507797 6.7113156 6.586791 6.413485 6.718384 6.612302
## [26,] 6.200000 5.400000 6.300000 6.5000000 6.400000 6.200000 6.500000 6.400000
## [27,] 5.967869 5.173558 6.093379 6.2843401 6.210048 5.986509 6.278850 6.185327
## [28,] 5.737006 4.947198 5.888704 6.0651683 6.017667 5.773817 6.055789 5.969111
## [29,] 5.508209 4.721759 5.686642 5.8432940 5.823560 5.562653 5.831641 5.752150
## [30,] 5.282199 4.498038 5.487761 5.6195011 5.628402 5.353665 5.607199 5.535209
## [31,] 5.059615 4.276792 5.292531 5.3945462 5.432836 5.147426 5.383222 5.319018
## [32,] 4.841016 4.058734 5.101325 5.1691581 5.237475 4.944431 5.160435 5.104270
## [33,] 4.626888 3.844537 4.914422 4.9440370 5.042901 4.745104 4.939528 4.891623
## [34,] 4.417641 3.634828 4.732021 4.7198548 4.849664 4.549797 4.721157 4.681702
## [35,] 4.213621 3.430196 4.554239 4.4972561 4.658288 4.358802 4.505942 4.475092
## [36,] 4.015113 3.231187 4.381129 4.2768590 4.469268 4.172351 4.294474 4.272351
## [37,] 3.822349 3.038311 4.212683 4.0592573 4.283073 3.990627 4.087310 4.074001
## [38,] 3.635512 2.852041 4.048846 3.8450221 4.100150 3.813773 3.884980 3.880538
## [39,] 3.454753 2.672818 3.889529 3.6347043 3.920928 3.641898 3.687989 3.692431
## [40,] 3.280190 2.501053 3.734618 3.4288368 3.745815 3.475086 3.496816 3.510125
## [41,] 3.111922 2.337127 3.583987 3.2279376 3.575209 3.313405 3.311922 3.334045
## [42,] 2.950039 2.181402 3.437513 3.0325118 3.409495 3.156920 3.133748 3.164598
## [43,] 2.794627 2.034215 3.295083 2.8430546 3.249051 3.005694 2.962722 3.002178
## [44,] 2.645778 1.895887 3.156608 2.6600535 3.094251 2.859804 2.799259 2.847164
## [45,] 2.503601 1.766723 3.022034 2.4839903 2.945464 2.719347 2.643763 2.699928
## [46,] 2.368223 1.647017 2.891351 2.3153435 2.803061 2.584442 2.496631 2.560835
## [47,] 2.239800 1.537052 2.764602 2.1545894 2.667416 2.455244 2.358255 2.430244
## [48,] 2.118520 1.437103 2.641889 2.0022031 2.538904 2.331944 2.229022 2.308512
## [49,] 2.004609 1.347437 2.523380 1.8586598 2.417906 2.214776 2.109315 2.195993
## [50,] 1.898333 1.268317 2.409313 1.7244341 2.304808 2.104020 1.999515 2.093039
## [51,] 1.800000 1.200000 2.300000 1.6000000 2.200000 2.000000 1.900000 2.000000
## [52,] 1.709961 1.142736 2.195825 1.4858301 2.103878 1.903090 1.811144 1.917225
## [53,] 1.628609 1.096770 2.097247 1.3823935 2.016839 1.813710 1.733315 1.845060
## [54,] 1.556376 1.062340 2.004792 1.2901541 1.939283 1.732324 1.666878 1.783845
## [55,] 1.493730 1.039672 1.919056 1.2095678 1.871608 1.659436 1.612185 1.733913
## [56,] 1.441172 1.028983 1.840693 1.1410790 1.814207 1.595587 1.569580 1.695587
## [57,] 1.399228 1.030474 1.770410 1.0851170 1.767465 1.541348 1.539389 1.669179
## [58,] 1.368441 1.044328 1.708958 1.0420922 1.731757 1.497311 1.521921 1.654982
## [59,] 1.349365 1.070708 1.657120 1.0123907 1.707439 1.464082 1.517461 1.653268
## [60,] 1.342558 1.109749 1.615702 0.9963700 1.694849 1.442274 1.526268 1.664283
## [61,] 1.348566 1.161557 1.585517 0.9943536 1.694296 1.432493 1.548566 1.688246
## [62,] 1.367918 1.226205 1.567376 1.0066257 1.706058 1.435329 1.584544 1.725338
## [63,] 1.401112 1.303724 1.562069 1.0334253 1.730377 1.451348 1.634347 1.775699
## [64,] 1.448607 1.394104 1.570353 1.0749413 1.767451 1.481074 1.698074 1.839426
## [65,] 1.510809 1.497284 1.592938 1.1313070 1.817431 1.524985 1.775770 1.916564
## [66,] 1.588062 1.613153 1.630471 1.2025945 1.880414 1.583496 1.867423 2.007103
## [67,] 1.680637 1.741540 1.683524 1.2888100 1.956439 1.656952 1.972958 2.110974
## [68,] 1.788721 1.882215 1.752578 1.3898895 2.045483 1.745616 2.092237 2.228043
## [69,] 1.912406 2.034883 1.838010 1.5056942 2.147454 1.849658 2.225047 2.358108
## [70,] 2.051687 2.199181 1.940085 1.6360075 2.262190 1.969147 2.371106 2.500896
## [71,] 2.206446 2.374679 2.058939 1.7805314 2.389455 2.104045 2.530052 2.656060
## [72,] 2.376450 2.560872 2.194579 1.9388850 2.528936 2.254199 2.701449 2.823177
## [73,] 2.561348 2.757185 2.346865 2.1106025 2.680241 2.419333 2.884779 3.001746
## [74,] 2.760662 2.962969 2.515514 2.2951324 2.842900 2.599050 3.079445 3.191190
## [75,] 2.973789 3.177504 2.700088 2.4918385 3.016363 2.792824 3.284770 3.390852
## [76,] 3.200000 3.400000 2.900000 2.7000000 3.200000 3.000000 3.500000 3.600000
## [77,] 3.438439 3.629596 3.114506 2.9188140 3.393106 3.219799 3.724304 3.817827
## [78,] 3.688128 3.865368 3.342713 3.1473984 3.594900 3.451316 3.956778 4.043456
## [79,] 3.947969 4.106330 3.583582 3.3847954 3.804529 3.693526 4.196448 4.275939
## [80,] 4.216755 4.351439 3.835932 3.6299763 4.021075 3.945290 4.442279 4.514268
## [81,] 4.493171 4.599601 4.098452 3.8818470 4.243557 4.205361 4.693171 4.757375
## [82,] 4.775809 4.849678 4.369707 4.1392544 4.470938 4.472394 4.947977 5.004143
## [83,] 5.063173 5.100494 4.648154 4.4009934 4.702130 4.744957 5.205502 5.253407
## [84,] 5.353698 5.350841 4.932152 4.6658144 4.936005 5.021541 5.464512 5.503968
## [85,] 5.645756 5.599493 5.219981 4.9324322 5.171400 5.300575 5.723746 5.754596
## [86,] 5.937673 5.845207 5.509854 5.1995342 5.407125 5.580436 5.981919 6.004043
## [87,] 6.227746 6.086737 5.799936 5.4657901 5.641975 5.859468 6.237738 6.251047
## [88,] 6.514255 6.322843 6.088364 5.7298617 5.874733 6.135994 6.489904 6.494346
## [89,] 6.795479 6.552298 6.373262 5.9904119 6.104189 6.408334 6.737128 6.732685
## [90,] 7.069716 6.773900 6.652764 6.2461157 6.329138 6.674819 6.978137 6.964828
## [91,] 7.335292 6.986479 6.925030 6.4956692 6.548398 6.933808 7.211685 7.189562
## [92,] 7.590585 7.188910 7.188266 6.7377999 6.760817 7.183704 7.436563 7.405713
## [93,] 7.834035 7.380116 7.440744 6.9712761 6.965280 7.422968 7.651608 7.612153
## [94,] 8.064161 7.559083 7.680816 7.1949161 7.160719 7.650135 7.855711 7.807806
## [95,] 8.279574 7.724865 7.906935 7.4075971 7.346124 7.863828 8.047825 7.991659
## [96,] 8.478990 7.876590 8.117666 7.6082633 7.520546 8.062772 8.226976 8.162772
## [97,] 8.661246 8.013471 8.311705 7.7959333 7.683107 8.245802 8.392268 8.320278
## [98,] 8.825301 8.134808 8.487888 7.9697075 7.833007 8.411877 8.542889 8.463398
## [99,] 8.970258 8.239996 8.645204 8.1287735 7.969528 8.560090 8.678118 8.591440
## [100,] 9.095359 8.328529 8.782802 8.2724118 8.092038 8.689672 8.797331 8.703807
## [101,] 9.200000 8.400000 8.900000 8.4000000 8.200000 8.800000 8.900000 8.800000
## ys ys ys ys ys ys ys
## [1,] 8.100000 8.100000 9.200000 9.4000000 9.900000 8.200000 8.400000
## [2,] 8.192573 8.192771 9.284323 9.4853068 9.978042 8.286492 8.467457
## [3,] 8.269017 8.269805 9.348623 9.5525284 10.036065 8.357272 8.518884
## [4,] 8.329085 8.330856 9.392759 9.6014273 10.073896 8.412118 8.554132
## [5,] 8.372631 8.375773 9.416740 9.6318565 10.091476 8.450904 8.573155
## [6,] 8.399611 8.404506 9.420724 9.6437589 10.088865 8.473604 8.576005
## [7,] 8.410078 8.417100 9.405014 9.6371673 10.066229 8.480288 8.562828
## [8,] 8.404178 8.413696 9.370051 9.6122023 10.023849 8.471118 8.533867
## [9,] 8.382153 8.394522 9.316404 9.5690706 9.962109 8.446347 8.489451
## [10,] 8.344328 8.359895 9.244767 9.5080626 9.881491 8.406313 8.429997
## [11,] 8.291114 8.310212 9.155942 9.4295493 9.782574 8.351434 8.356000
## [12,] 8.222997 8.245946 9.050834 9.3339784 9.666025 8.282203 8.268027
## [13,] 8.140533 8.167636 8.930430 9.2218711 9.532592 8.199182 8.166714
## [14,] 8.044342 8.075888 8.795797 9.0938170 9.383096 8.102991 8.052755
## [15,] 7.935102 7.971359 8.648059 8.9504701 9.218423 7.994308 7.926896
## [16,] 7.813537 7.854758 8.488389 8.7925433 9.039518 7.873856 7.789930
## [17,] 7.680415 7.726832 8.317991 8.6208038 8.847376 7.742399 7.642683
## [18,] 7.536537 7.588362 8.138092 8.4360674 8.643029 7.600731 7.486014
## [19,] 7.382732 7.440154 7.949921 8.2391933 8.427546 7.449672 7.320801
## [20,] 7.219847 7.283035 7.754701 8.0310785 8.202016 7.290057 7.147937
## [21,] 7.048741 7.117840 7.553636 7.8126528 7.967547 7.122734 6.968319
## [22,] 6.870279 6.945410 7.347898 7.5848726 7.725253 6.948552 6.782846
## [23,] 6.685325 6.766586 7.138617 7.3487166 7.476248 6.768358 6.592410
## [24,] 6.494733 6.582200 6.926872 7.1051800 7.221644 6.582988 6.397887
## [25,] 6.299349 6.393070 6.713682 6.8552698 6.962535 6.393268 6.200139
## [26,] 6.100000 6.200000 6.500000 6.6000000 6.700000 6.200000 6.000000
## [27,] 5.897490 6.003769 6.286706 6.3403875 6.435094 6.003967 5.798279
## [28,] 5.692601 5.805134 6.074606 6.0774475 6.168844 5.805922 5.595755
## [29,] 5.486084 5.604822 5.864424 5.8121898 5.902245 5.606594 5.393169
## [30,] 5.278664 5.403533 5.656806 5.5456155 5.636258 5.406675 5.191231
## [31,] 5.071033 5.201934 5.452320 5.2787134 5.371804 5.206829 4.990610
## [32,] 4.863850 5.000663 5.251454 5.0124572 5.109770 5.007685 4.791939
## [33,] 4.657745 4.800323 5.054621 4.7478031 4.851000 4.809840 4.595814
## [34,] 4.453314 4.601489 4.862167 4.4856873 4.596299 4.613858 4.402791
## [35,] 4.251123 4.404706 4.674369 4.2270241 4.346431 4.420273 4.213392
## [36,] 4.051711 4.210490 4.491449 3.9727043 4.102122 4.229588 4.028104
## [37,] 3.855588 4.019331 4.313576 3.7235934 3.864062 4.042279 3.847383
## [38,] 3.663241 3.831696 4.140877 3.4805308 3.632900 3.858799 3.671654
## [39,] 3.475134 3.648031 3.973444 3.2443283 3.409256 3.679576 3.501315
## [40,] 3.291712 3.468764 3.811343 3.0157698 3.193714 3.505021 3.336743
## [41,] 3.113405 3.294307 3.654627 2.7956099 2.986831 3.335529 3.178291
## [42,] 2.940629 3.125062 3.503337 2.5845736 2.789136 3.171479 3.026299
## [43,] 2.773790 2.961421 3.357519 2.3833558 2.601132 3.013245 2.881088
## [44,] 2.613285 2.803768 3.217227 2.1926204 2.423302 2.861190 2.742973
## [45,] 2.459508 2.652486 3.082534 2.0130001 2.256107 2.715673 2.612258
## [46,] 2.312850 2.507955 2.953540 1.8450955 2.099990 2.577054 2.489243
## [47,] 2.173699 2.370557 2.830375 1.6894745 1.955378 2.445688 2.374223
## [48,] 2.042446 2.240675 2.713206 1.5466719 1.822683 2.321937 2.267494
## [49,] 1.919483 2.118694 2.602243 1.4171879 1.702301 2.206161 2.169349
## [50,] 1.805202 2.005005 2.497741 1.3014877 1.594617 2.098726 2.080086
## [51,] 1.700000 1.900000 2.400000 1.2000000 1.500000 2.000000 2.000000
## [52,] 1.604273 1.804075 2.309369 1.1131161 1.418804 1.910354 1.929389
## [53,] 1.518416 1.717628 2.226243 1.0411882 1.351368 1.830161 1.868550
## [54,] 1.442826 1.641055 2.151062 0.9845279 1.298015 1.759793 1.817779
## [55,] 1.377891 1.574750 2.084305 0.9434049 1.259046 1.699619 1.777367
## [56,] 1.323995 1.519101 2.026489 0.9180445 1.234742 1.650003 1.747602
## [57,] 1.281510 1.474487 1.978161 0.9086264 1.225358 1.611300 1.728760
## [58,] 1.250791 1.441274 1.939889 0.9152825 1.231120 1.583852 1.721103
## [59,] 1.232178 1.419809 1.912257 0.9380948 1.252222 1.567984 1.724880
## [60,] 1.225984 1.410416 1.895857 0.9770932 1.288821 1.563999 1.740314
## [61,] 1.232493 1.413394 1.891271 1.0322541 1.341033 1.572173 1.767607
## [62,] 1.251956 1.429007 1.899072 1.1034979 1.408927 1.592749 1.806925
## [63,] 1.284583 1.457480 1.919802 1.1906870 1.492524 1.625935 1.858402
## [64,] 1.330541 1.498996 1.953971 1.2936249 1.591788 1.671893 1.922129
## [65,] 1.389946 1.553688 2.002036 1.4120536 1.706624 1.730740 1.998151
## [66,] 1.462857 1.621635 2.064398 1.5456533 1.836875 1.802537 2.086463
## [67,] 1.549274 1.702856 2.141385 1.6940403 1.982313 1.887289 2.187005
## [68,] 1.649132 1.797308 2.233247 1.8567672 2.142640 1.984938 2.299655
## [69,] 1.762298 1.904876 2.340140 2.0333219 2.317484 2.095359 2.424229
## [70,] 1.888565 2.025378 2.462124 2.2231277 2.506396 2.218355 2.560476
## [71,] 2.027652 2.158553 2.599151 2.4255438 2.708846 2.353659 2.708074
## [72,] 2.179198 2.304067 2.751057 2.6398661 2.924225 2.500925 2.866631
## [73,] 2.342765 2.461503 2.917562 2.8653281 3.151841 2.659732 3.035680
## [74,] 2.517833 2.630367 3.098262 3.1011034 3.390923 2.829578 3.214679
## [75,] 2.703805 2.810084 3.292626 3.3463073 3.640619 3.009886 3.403015
## [76,] 2.900000 3.000000 3.500000 3.6000000 3.900000 3.200000 3.600000
## [77,] 3.105664 3.199385 3.719602 3.8611896 4.168060 3.399188 3.804875
## [78,] 3.319966 3.407433 3.950528 4.1288359 4.443722 3.606644 4.016812
## [79,] 3.542005 3.623267 4.191755 4.4018549 4.725844 3.821496 4.234920
## [80,] 3.770813 3.845944 4.442148 4.6791231 5.013220 4.042803 4.458247
## [81,] 4.005361 4.074459 4.700466 4.9594832 5.304589 4.269565 4.685783
## [82,] 4.244562 4.307750 4.965371 5.2417491 5.598642 4.500728 4.916473
## [83,] 4.487286 4.544708 5.235439 5.5247121 5.894030 4.735190 5.149216
## [84,] 4.732356 4.784180 5.509172 5.8071474 6.189371 4.971811 5.382878
## [85,] 4.978565 5.024983 5.785007 6.0878200 6.483258 5.209415 5.616296
## [86,] 5.224682 5.265904 6.061338 6.3654923 6.774271 5.446805 5.848289
## [87,] 5.469459 5.505717 6.336519 6.6389304 7.060986 5.682768 6.077665
## [88,] 5.711643 5.743188 6.608891 6.9069111 7.341984 5.916085 6.303230
## [89,] 5.949982 5.977085 6.876789 7.1682298 7.615860 6.145540 6.523801
## [90,] 6.183240 6.206189 7.138562 7.4217064 7.881238 6.369931 6.738210
## [91,] 6.410201 6.429300 7.392587 7.6661935 8.136775 6.588078 6.945315
## [92,] 6.629682 6.645250 7.637286 7.9005822 8.381176 6.798832 7.144013
## [93,] 6.840541 6.852910 7.871143 8.1238096 8.613198 7.001086 7.333242
## [94,] 7.041684 7.051202 8.092713 8.3348644 8.831667 7.193780 7.511996
## [95,] 7.232079 7.239102 8.300641 8.5327936 9.035481 7.375914 7.679329
## [96,] 7.410757 7.415651 8.493673 8.7167079 9.223617 7.546553 7.834364
## [97,] 7.576824 7.579965 8.670671 8.8857868 9.395145 7.704834 7.976300
## [98,] 7.729464 7.731236 8.830615 9.0392834 9.549228 7.849974 8.104417
## [99,] 7.867951 7.868739 8.972623 9.1765287 9.685132 7.981272 8.218084
## [100,] 7.991644 7.991841 9.095951 9.2969353 9.802228 8.098120 8.316760
## [101,] 8.100000 8.100000 9.200000 9.4000000 9.900000 8.200000 8.400000
## ys ys ys ys ys ys ys ys
## [1,] 9.200000 8.600000 7.600000 8.700000 8.800000 7.100000 7.800000 9.100000
## [2,] 9.273144 8.680014 7.674131 8.785900 8.872356 7.174724 7.873736 9.188827
## [3,] 9.329051 8.743938 7.732994 8.854906 8.925910 7.235372 7.931417 9.254085
## [4,] 9.367556 8.791546 7.776413 8.906804 8.960534 7.281789 7.972870 9.295681
## [5,] 9.388599 8.822696 7.804308 8.941479 8.976230 7.313930 7.998024 9.313729
## [6,] 9.392223 8.837329 7.816695 8.958921 8.973125 7.331857 8.006906 9.308535
## [7,] 9.378573 8.835467 7.813685 8.959221 8.951470 7.335738 7.999640 9.280598
## [8,] 9.347893 8.817211 7.795479 8.942566 8.911635 7.325842 7.976444 9.230596
## [9,] 9.300519 8.782742 7.762365 8.909239 8.854101 7.302533 7.937627 9.159375
## [10,] 9.236878 8.732316 7.714714 8.859611 8.779456 7.266263 7.883580 9.067938
## [11,] 9.157484 8.666262 7.652975 8.794139 8.688385 7.217565 7.814779 8.957426
## [12,] 9.062924 8.584979 7.577667 8.713357 8.581662 7.157046 7.731770 8.829104
## [13,] 8.953860 8.488932 7.489375 8.617872 8.460139 7.085376 7.635169 8.684340
## [14,] 8.831016 8.378647 7.388742 8.508355 8.324737 7.003280 7.525652 8.524590
## [15,] 8.695175 8.254707 7.276463 8.385535 8.176437 6.911528 7.403948 8.351376
## [16,] 8.547167 8.117749 7.153274 8.250192 8.016265 6.810923 7.270832 8.166265
## [17,] 8.387864 7.968458 7.019951 8.103147 7.845286 6.702294 7.127116 7.970851
## [18,] 8.218171 7.807560 6.877294 7.945257 7.664589 6.586484 6.973645 7.766732
## [19,] 8.039018 7.635821 6.726128 7.777405 7.475275 6.464340 6.811284 7.555496
## [20,] 7.851352 7.454039 6.567289 7.600494 7.278455 6.336705 6.640914 7.338697
## [21,] 7.656130 7.263039 6.401621 7.415439 7.075228 6.204407 6.463424 7.117840
## [22,] 7.454311 7.063669 6.229966 7.223159 6.866681 6.068253 6.279704 6.894364
## [23,] 7.246853 6.856797 6.053162 7.024572 6.653875 5.929018 6.090638 6.669628
## [24,] 7.034699 6.643302 5.872032 6.820588 6.437840 5.787441 5.897099 6.444900
## [25,] 6.818779 6.424072 5.687383 6.612105 6.219567 5.644219 5.699941 6.221341
## [26,] 6.600000 6.200000 5.500000 6.400000 6.000000 5.500000 5.500000 6.000000
## [27,] 6.379245 5.971980 5.310640 6.185129 5.780034 5.355382 5.298082 5.781807
## [28,] 6.157366 5.740903 5.120033 5.968322 5.560508 5.210908 5.094966 5.567567
## [29,] 5.935184 5.507652 4.928874 5.750379 5.342206 5.067063 4.891398 5.357959
## [30,] 5.713482 5.273102 4.737827 5.532068 5.125852 4.924279 4.688089 5.153534
## [31,] 5.493011 5.038116 4.547519 5.314124 4.912109 4.782929 4.485716 4.954721
## [32,] 5.274480 4.803542 4.358542 5.097248 4.701583 4.643332 4.284917 4.761825
## [33,] 5.058563 4.570210 4.171452 4.882106 4.494820 4.505756 4.086297 4.575041
## [34,] 4.845895 4.338933 3.986772 4.669332 4.292313 4.370417 3.890422 4.394457
## [35,] 4.637077 4.110505 3.804990 4.459525 4.094499 4.237491 3.697825 4.220063
## [36,] 4.432670 3.885695 3.626563 4.253252 3.901769 4.107111 3.509006 4.051769
## [37,] 4.233207 3.665254 3.451919 4.051052 3.714469 3.979378 3.324434 3.889408
## [38,] 4.039186 3.449907 3.281460 3.853435 3.532907 3.854364 3.144550 3.732761
## [39,] 3.851079 3.240358 3.115563 3.660885 3.357358 3.732121 2.969770 3.581559
## [40,] 3.669331 3.037284 2.954588 3.473867 3.188069 3.612685 2.800485 3.435511
## [41,] 3.494365 2.841340 2.798873 3.292823 3.025266 3.496087 2.637070 3.294307
## [42,] 3.326583 2.653155 2.648747 3.118181 2.869161 3.382354 2.479881 3.157643
## [43,] 3.166372 2.473334 2.504525 2.950353 2.719954 3.271522 2.329264 3.025229
## [44,] 3.014103 2.302456 2.366517 2.789742 2.577846 3.163638 2.185551 2.896807
## [45,] 2.870138 2.141076 2.235026 2.636741 2.443035 3.058767 2.049071 2.772163
## [46,] 2.734828 1.989722 2.110356 2.491737 2.315729 2.956997 1.920145 2.651140
## [47,] 2.608517 1.848897 1.992809 2.355113 2.196148 2.858448 1.799092 2.533647
## [48,] 2.491546 1.719077 1.882689 2.227251 2.084523 2.763268 1.686232 2.419671
## [49,] 2.384248 1.600712 1.780306 2.108526 1.981107 2.671644 1.581883 2.309282
## [50,] 2.286957 1.494222 1.685970 1.999318 1.886169 2.583801 1.486365 2.202640
## [51,] 2.200000 1.400000 1.600000 1.900000 1.800000 2.500000 1.400000 2.100000
## [52,] 2.123702 1.318409 1.522715 1.810946 1.722913 2.420545 1.323110 2.001710
## [53,] 2.058382 1.249779 1.454439 1.732527 1.655240 2.345778 1.256016 1.908215
## [54,] 2.004354 1.194410 1.395498 1.665107 1.597332 2.276077 1.199040 1.820050
## [55,] 1.961923 1.152565 1.346215 1.609044 1.549554 2.211854 1.152498 1.737839
## [56,] 1.931383 1.124474 1.306912 1.564686 1.512285 2.153553 1.116700 1.662285
## [57,] 1.913014 1.110327 1.277902 1.532367 1.485911 2.101643 1.091947 1.594164
## [58,] 1.907077 1.110274 1.259491 1.512404 1.470819 2.056612 1.078525 1.534313
## [59,] 1.913812 1.124423 1.251966 1.505092 1.467395 2.018963 1.076704 1.483617
## [60,] 1.933433 1.152840 1.255597 1.510701 1.476011 1.989205 1.086732 1.442997
## [61,] 1.966123 1.195541 1.270632 1.529468 1.497025 1.967845 1.108828 1.413394
## [62,] 2.012029 1.252497 1.297285 1.561595 1.530767 1.955383 1.143183 1.395754
## [63,] 2.071257 1.323626 1.335741 1.607244 1.577536 1.952298 1.189947 1.391009
## [64,] 2.143868 1.408795 1.386141 1.666529 1.637589 1.959045 1.249232 1.400061
## [65,] 2.229873 1.507817 1.448585 1.739512 1.711134 1.976043 1.321100 1.423766
## [66,] 2.329226 1.620448 1.523119 1.826201 1.798324 2.003667 1.405562 1.462914
## [67,] 2.441824 1.746387 1.609737 1.926541 1.899246 2.042238 1.502572 1.518214
## [68,] 2.567498 1.885275 1.708375 2.040412 2.013915 2.092020 1.612024 1.590275
## [69,] 2.706013 2.036694 1.818902 2.167625 2.142270 2.153205 1.733746 1.679595
## [70,] 2.857061 2.200168 1.941123 2.307918 2.284164 2.225914 1.867498 1.786541
## [71,] 3.020264 2.375158 2.074772 2.460954 2.439362 2.310182 2.012969 1.911340
## [72,] 3.195166 2.561069 2.219511 2.626318 2.607535 2.405963 2.169773 2.054068
## [73,] 3.381237 2.757247 2.374927 2.803517 2.788259 2.513117 2.337451 2.214640
## [74,] 3.577868 2.962981 2.540535 2.991978 2.981010 2.631410 2.515468 2.392800
## [75,] 3.784375 3.177505 2.715771 3.191049 3.185164 2.760513 2.703213 2.588122
## [76,] 4.000000 3.400000 2.900000 3.400000 3.400000 2.900000 2.900000 2.800000
## [77,] 4.223909 3.629597 3.092514 3.618025 3.624698 3.049349 3.105072 3.027655
## [78,] 4.455201 3.865381 3.292534 3.844244 3.858342 3.207942 3.317601 3.270133
## [79,] 4.692906 4.106393 3.499215 4.077710 4.099928 3.375071 3.536691 3.526309
## [80,] 4.935995 4.351637 3.711650 4.317410 4.348364 3.549937 3.761388 3.794898
## [81,] 5.183383 4.600080 3.928874 4.562270 4.602481 3.731661 3.990678 4.074459
## [82,] 5.433933 4.850664 4.149871 4.811165 4.861036 3.919286 4.223495 4.363412
## [83,] 5.686468 5.102305 4.373578 5.062924 5.122725 4.111790 4.458734 4.660050
## [84,] 5.939774 5.353901 4.598897 5.316337 5.386191 4.308087 4.695248 4.962551
## [85,] 6.192612 5.604339 4.824698 5.570163 5.650034 4.507042 4.931864 5.269002
## [86,] 6.443723 5.852501 5.049830 5.823141 5.912821 4.707479 5.167387 5.577411
## [87,] 6.691840 6.097270 5.273128 6.073995 6.173102 4.908194 5.400613 5.885734
## [88,] 6.935698 6.337534 5.493424 6.321449 6.429418 5.107962 5.630333 6.191891
## [89,] 7.174037 6.572200 5.709553 6.564231 6.680316 5.305554 5.855346 6.493789
## [90,] 7.405621 6.800192 5.920365 6.801085 6.924360 5.499744 6.074467 6.789347
## [91,] 7.629242 7.020464 6.124734 7.030783 7.160144 5.689323 6.286537 7.076513
## [92,] 7.843729 7.232001 6.321565 7.252131 7.386307 5.873113 6.490430 7.353292
## [93,] 8.047959 7.433832 6.509806 7.463978 7.601542 6.049974 6.685067 7.617764
## [94,] 8.240866 7.625029 6.688453 7.665228 7.804609 6.218816 6.869418 7.868102
## [95,] 8.421450 7.804718 6.856561 7.854847 7.994346 6.378615 7.042517 8.102600
## [96,] 8.588779 7.972081 7.013251 8.031870 8.169681 6.528413 7.203462 8.319681
## [97,] 8.742006 8.126364 7.157714 8.195409 8.329636 6.667336 7.351431 8.517921
## [98,] 8.880365 8.266878 7.289221 8.344660 8.473343 6.794598 7.485679 8.696061
## [99,] 9.003185 8.393005 7.407128 8.478907 8.600043 6.909506 7.605550 8.853018
## [100,] 9.109889 8.504201 7.510875 8.597528 8.709100 7.011468 7.710481 8.987898
## [101,] 9.200000 8.600000 7.600000 8.700000 8.800000 7.100000 7.800000 9.100000
## ys ys ys ys ys ys ys
## [1,] 9.300000 8.100000 9.100000 8.000000 9.200000 8.500000 11.6000000
## [2,] 9.408649 8.179621 9.191389 8.080015 9.285308 8.579818 11.8777616
## [3,] 9.495602 8.242386 9.264286 8.143950 9.352541 8.643162 12.1198497
## [4,] 9.560627 8.288129 9.318457 8.191608 9.401490 8.689837 12.3256985
## [5,] 9.603649 8.316807 9.353781 8.222893 9.432054 8.719752 12.4951379
## [6,] 9.624754 8.328498 9.370245 8.237808 9.444238 8.732914 12.6283845
## [7,] 9.624175 8.323394 9.367944 8.236453 9.438154 8.729431 12.7260262
## [8,] 9.602293 8.301799 9.347074 8.219022 9.414014 8.709505 12.7890028
## [9,] 9.559628 8.264123 9.307937 8.185802 9.372131 8.673433 12.8185812
## [10,] 9.496829 8.210875 9.250925 8.137163 9.312909 8.621596 12.8163263
## [11,] 9.414663 8.142655 9.176524 8.073557 9.236844 8.554459 12.7840689
## [12,] 9.314008 8.060148 9.085305 7.995512 9.144511 8.472564 12.7238690
## [13,] 9.195836 7.964109 8.977914 7.903624 9.036563 8.376521 12.6379777
## [14,] 9.061203 7.855360 8.855071 7.798549 8.913719 8.267003 12.5287966
## [15,] 8.911234 7.734776 8.717556 7.680999 8.776762 8.144741 12.3988352
## [16,] 8.747109 7.603274 8.566208 7.551733 8.626528 8.010512 12.2506689
## [17,] 8.570053 7.461806 8.401911 7.411549 8.463895 7.865132 12.0868960
## [18,] 8.381316 7.311342 8.225589 7.261276 8.289783 7.709451 11.9100956
## [19,] 8.182163 7.152869 8.038200 7.101767 8.105139 7.544345 11.7227873
## [20,] 7.973861 6.987370 7.840722 6.933892 7.910932 7.370704 11.5273920
## [21,] 7.757665 6.815825 7.634152 6.758530 7.708144 7.189432 11.3261962
## [22,] 7.534807 6.639194 7.419493 6.576563 7.497766 7.001432 11.1213191
## [23,] 7.306484 6.458413 7.197753 6.388867 7.280786 6.807605 10.9146832
## [24,] 7.073851 6.274385 6.969933 6.196310 7.058188 6.608844 10.7079890
## [25,] 6.838009 6.087975 6.737024 5.999744 6.830942 6.406023 10.5026947
## [26,] 6.600000 5.900000 6.500000 5.800000 6.600000 6.200000 10.3000000
## [27,] 6.360801 5.711231 6.259816 5.597885 6.366292 5.991606 10.1008354
## [28,] 6.121318 5.522386 6.017401 5.394178 6.130722 5.781644 9.9058563
## [29,] 5.882386 5.334125 5.773655 5.189627 5.894165 5.570889 9.7154428
## [30,] 5.644764 5.147055 5.529450 4.984947 5.657461 5.360078 9.5297039
## [31,] 5.409136 4.961723 5.285622 4.780821 5.421418 5.149920 9.3484875
## [32,] 5.176115 4.778623 5.042975 4.577895 5.186810 4.941082 9.1713948
## [33,] 4.946240 4.598193 4.802277 4.376779 4.954372 4.734201 8.9977998
## [34,] 4.719988 4.420820 4.564261 4.178052 4.724806 4.529877 8.8268721
## [35,] 4.497770 4.246845 4.329627 3.982257 4.498777 4.328675 8.6576045
## [36,] 4.279942 4.076563 4.099040 3.789908 4.276917 4.131129 8.4888433
## [37,] 4.066811 3.910232 3.873134 3.601486 4.059825 3.937743 8.3193216
## [38,] 3.858645 3.748078 3.652513 3.417447 3.848071 3.748993 8.1476951
## [39,] 3.655675 3.590297 3.437753 3.238224 3.642195 3.565328 7.9725785
## [40,] 3.458108 3.437068 3.229404 3.064227 3.442713 3.387176 7.7925842
## [41,] 3.266134 3.288553 3.027995 2.895848 3.250118 3.214947 7.6063601
## [42,] 3.079937 3.144908 2.834033 2.733464 3.064883 3.049031 7.4126276
## [43,] 2.899697 3.006283 2.648006 2.577439 2.887461 2.889808 7.2102184
## [44,] 2.725607 2.872837 2.470389 2.428129 2.718294 2.737647 6.9981097
## [45,] 2.557873 2.744736 2.301642 2.285883 2.557808 2.592906 6.7754567
## [46,] 2.396724 2.622159 2.142216 2.151046 2.406420 2.455941 6.5416228
## [47,] 2.242417 2.505308 1.992549 2.023961 2.264538 2.327103 6.2962057
## [48,] 2.095244 2.394405 1.853074 1.904970 2.132564 2.206741 6.0390601
## [49,] 1.955531 2.289697 1.724214 1.794416 2.010892 2.095205 5.7703156
## [50,] 1.823646 2.191461 1.606386 1.692644 1.899910 1.992841 5.4903905
## [51,] 1.700000 2.100000 1.500000 1.600000 1.800000 1.900000 5.2000000
## [52,] 1.585042 2.015647 1.405457 1.516831 1.711538 1.817028 4.9001596
## [53,] 1.479264 1.938764 1.323148 1.443483 1.634892 1.744272 4.5921832
## [54,] 1.383195 1.869737 1.253454 1.380302 1.570420 1.682074 4.2776757
## [55,] 1.297396 1.808977 1.196742 1.327629 1.518469 1.630771 3.9585208
## [56,] 1.222460 1.756912 1.153361 1.285799 1.479369 1.590693 3.6368631
## [57,] 1.159000 1.713987 1.123644 1.255135 1.453434 1.562157 3.3150859
## [58,] 1.107646 1.680655 1.107895 1.235947 1.440956 1.545465 2.9957843
## [59,] 1.069033 1.657373 1.106394 1.228529 1.442200 1.540898 2.6817339
## [60,] 1.043795 1.644592 1.119387 1.233149 1.457402 1.548716 2.3758557
## [61,] 1.032550 1.642755 1.147082 1.250050 1.486763 1.569148 2.0811787
## [62,] 1.035897 1.652281 1.189648 1.279440 1.530441 1.602389 1.8007987
## [63,] 1.054396 1.673565 1.247202 1.321493 1.588554 1.648596 1.5378357
## [64,] 1.088564 1.706965 1.319813 1.376335 1.661165 1.707880 1.2953900
## [65,] 1.138861 1.752795 1.407491 1.444048 1.748285 1.780306 1.0764972
## [66,] 1.205677 1.811315 1.510185 1.524660 1.849866 1.865881 0.8840835
## [67,] 1.289323 1.882727 1.627778 1.618139 1.965793 1.964557 0.7209220
## [68,] 1.390023 1.967162 1.760080 1.724394 2.095886 2.076218 0.5895893
## [69,] 1.507898 2.064677 1.906831 1.843264 2.239891 2.200686 0.4924255
## [70,] 1.642964 2.175249 2.067691 1.974521 2.397481 2.337708 0.4314959
## [71,] 1.795121 2.298765 2.242242 2.117863 2.568249 2.486961 0.4085562
## [72,] 1.964148 2.435022 2.429984 2.272915 2.751711 2.648046 0.4250222
## [73,] 2.149695 2.583721 2.630336 2.439222 2.947303 2.820484 0.4819426
## [74,] 2.351283 2.744465 2.842634 2.616256 3.154378 3.003723 0.5799781
## [75,] 2.568299 2.916757 3.066130 2.803410 3.372212 3.197131 0.7193841
## [76,] 2.800000 3.100000 3.300000 3.000000 3.600000 3.400000 0.9000000
## [77,] 3.045507 3.293500 3.543338 3.205269 3.836862 3.611548 1.1212435
## [78,] 3.303815 3.496464 3.795166 3.418389 4.081844 3.830922 1.3821108
## [79,] 3.573793 3.708009 4.054434 3.638463 4.333925 4.057201 1.6811830
## [80,] 3.854191 3.927161 4.320027 3.864530 4.592017 4.289399 2.0166374
## [81,] 4.143650 4.152867 4.590771 4.095572 4.854975 4.526474 2.3862650
## [82,] 4.440711 4.383996 4.865437 4.330518 5.121602 4.767330 2.7874930
## [83,] 4.743820 4.619353 5.142753 4.568251 5.390658 5.010829 3.2174130
## [84,] 5.051351 4.857684 5.421408 4.807617 5.660863 5.255792 3.6728128
## [85,] 5.361607 5.097688 5.700061 5.047431 5.930911 5.501013 4.1502135
## [86,] 5.672845 5.338027 5.977353 5.286486 6.199477 5.745264 4.6459091
## [87,] 5.983283 5.577339 6.251914 5.523562 6.465223 5.987304 5.1560107
## [88,] 6.291122 5.814248 6.522371 5.757437 6.726813 6.225891 5.6764915
## [89,] 6.594557 6.047377 6.787364 5.986892 6.982921 6.459789 6.2032349
## [90,] 6.891797 6.275361 7.045548 6.210725 7.232239 6.687776 6.7320835
## [91,] 7.181079 6.496857 7.295612 6.427758 7.473488 6.908660 7.2588875
## [92,] 7.460687 6.710560 7.536279 6.636848 7.705429 7.121280 7.7795544
## [93,] 7.728964 6.915213 7.766325 6.836892 7.926870 7.324522 8.2900966
## [94,] 7.984332 7.109617 7.984581 7.026840 8.136676 7.517323 8.7866775
## [95,] 8.225301 7.292646 8.189945 7.205704 8.333780 7.698682 9.2656554
## [96,] 8.450489 7.463251 8.381391 7.372560 8.517187 7.867666 9.7236248
## [97,] 8.658628 7.620476 8.557974 7.526562 8.685984 8.023420 10.1574530
## [98,] 8.848578 7.763461 8.718837 7.666941 8.839346 8.165169 10.5643141
## [99,] 9.019336 7.891453 8.863219 7.793017 8.976541 8.292229 10.9417173
## [100,] 9.170045 8.003808 8.990460 7.904202 9.096936 8.404004 11.2875307
## [101,] 9.300000 8.100000 9.100000 8.000000 9.200000 8.500000 11.6000000
## ys ys ys ys ys
## [1,] 11.100000000 11.50000000 9.10000000 10.80000000 9.80000000
## [2,] 11.364414921 11.78972846 9.33637267 11.07148328 10.06678129
## [3,] 11.591641337 12.04256316 9.54235486 11.30732878 10.30107882
## [4,] 11.781199847 12.25792365 9.71749537 11.50702308 10.50232965
## [5,] 11.933030628 12.43564827 9.86169950 11.67046635 10.67033603
## [6,] 12.047482818 12.57598396 9.97522006 11.79796191 10.80525681
## [7,] 12.125298183 12.67957036 10.05864334 11.89020004 10.90759386
## [8,] 12.167589365 12.74741838 10.11287057 11.94823647 10.97817375
## [9,] 12.175813102 12.78088390 10.13909489 11.97346580 11.01812507
## [10,] 12.151738876 12.78163680 10.13877449 11.96759039 11.02885185
## [11,] 12.097413509 12.75162591 10.11360219 11.93258524 11.01200331
## [12,] 12.015122303 12.69304057 10.06547213 11.87065940 10.96944074
## [13,] 11.907347364 12.60826934 9.99644394 11.78421462 10.90320181
## [14,] 11.776723783 12.49985652 9.90870518 11.67580180 10.81546304
## [15,] 11.625994388 12.37045729 9.80453244 11.54807612 10.70850105
## [16,] 11.457963790 12.22279206 9.68625197 11.40375139 10.58465309
## [17,] 11.275452471 12.05960096 9.55620025 11.24555455 10.44627761
## [18,] 11.081251625 11.88359893 9.41668534 11.07618082 10.29571551
## [19,] 10.878079484 11.69743238 9.26994939 10.89825047 10.13525257
## [20,] 10.668539814 11.50363795 9.11813320 10.71426764 9.96708372
## [21,] 10.455083214 11.30460412 8.96324306 10.52658207 9.79327981
## [22,] 10.239971844 11.10253612 8.80712070 10.33735421 9.61575723
## [23,] 10.025248106 10.89942487 8.65141659 10.14852431 9.43625088
## [24,] 9.812707762 10.69702032 8.49756713 9.96178594 9.25629110
## [25,] 9.603877888 10.49680953 8.34677600 9.77856435 9.07718462
## [26,] 9.400000000 10.30000000 8.20000000 9.60000000 8.90000000
## [27,] 9.202018563 10.10750831 8.05793961 9.42693744 8.72555771
## [28,] 9.010575067 9.91995427 7.92103426 9.25991983 8.55442499
## [29,] 8.826007693 9.73766072 7.78946255 9.09918894 8.38691552
## [30,] 8.648356566 9.56065882 7.66314722 8.94469084 8.22309386
## [31,] 8.477374450 9.38869876 7.54176489 8.79608690 8.06278465
## [32,] 8.312542677 9.22126573 7.42476026 8.65277015 7.90558622
## [33,] 8.153092018 9.05760077 7.31136465 8.51388644 7.75088853
## [34,] 7.998028111 8.89672615 7.20061844 8.37836025 7.59789494
## [35,] 7.846160983 8.73747483 7.09139699 8.24492449 7.44564756
## [36,] 7.696138176 8.57852350 6.98243980 8.11215398 7.29305568
## [37,] 7.546480853 8.41842855 6.87238209 7.97850177 7.13892671
## [38,] 7.395622305 8.25566447 6.75978849 7.84233801 6.98199925
## [39,] 7.241948148 8.08866385 6.64318826 7.70199031 6.82097750
## [40,] 7.083837549 7.91585847 6.52111121 7.55578524 6.65456658
## [41,] 6.919704745 7.73572055 6.39212401 7.40209007 6.48150814
## [42,] 6.748040153 7.54680366 6.25486603 7.23935400 6.30061547
## [43,] 6.567450350 7.34778249 6.10808417 7.06614839 6.11080766
## [44,] 6.376696229 7.13749065 5.95066613 6.88120498 5.91114225
## [45,] 6.174728673 6.91495614 5.78167151 6.68345172 5.70084554
## [46,] 5.960721114 6.67943356 5.60036008 6.47204542 5.47934032
## [47,] 5.734098397 6.43043267 5.40621696 6.24640065 5.24627033
## [48,] 5.494561442 6.16774269 5.19897401 6.00621447 5.00152105
## [49,] 5.242107249 5.89145201 4.97862723 5.75148645 4.74523650
## [50,] 4.977043859 5.60196274 4.74544971 5.48253360 4.47783161
## [51,] 4.700000000 5.30000000 4.50000000 5.20000000 4.20000000
## [52,] 4.411929183 4.98661565 4.24312556 4.90486082 3.91271693
## [53,] 4.114108146 4.66318632 3.97596136 4.59842070 3.61723739
## [54,] 3.808129611 4.33140581 3.69992350 4.28230638 3.31508921
## [55,] 3.495889412 3.99327177 3.41669786 3.95845369 3.00806134
## [56,] 3.179568165 3.65106702 3.12822413 3.62908907 2.69818737
## [57,] 2.861607699 3.30733553 2.83667509 3.29670584 2.38772457
## [58,] 2.544682605 2.96485359 2.54443180 2.96403550 2.07912863
## [59,] 2.231667283 2.62659648 2.25405477 2.63401459 1.77502460
## [60,] 1.925598998 2.29570107 1.96825167 2.30974749 1.47817431
## [61,] 1.629637474 1.97542507 1.68984200 1.99446575 1.19144087
## [62,] 1.347021641 1.66910337 1.42171929 1.69148454 0.91775068
## [63,] 1.081024195 1.38010222 1.16681141 1.40415694 0.66005354
## [64,] 0.834904658 1.11177192 0.92803947 1.13582664 0.42128160
## [65,] 0.611861668 0.86739877 0.70827614 0.88977994 0.20430753
## [66,] 0.414985226 0.65015695 0.51030385 0.66919763 0.01190273
## [67,] 0.247209654 0.46306116 0.33677359 0.47710758 -0.15330377
## [68,] 0.111267990 0.30892069 0.19016500 0.31633879 -0.28886518
## [69,] 0.009648546 0.19029565 0.07274823 0.18947756 -0.39255494
## [70,] -0.055445696 0.10945616 -0.01345163 0.09882648 -0.46240215
## [71,] -0.082134197 0.06834490 -0.06668724 0.04636695 -0.49672400
## [72,] -0.068891884 0.06854384 -0.08551807 0.03372575 -0.49415459
## [73,] -0.014577564 0.11124567 -0.06883546 0.06214624 -0.45366974
## [74,] 0.081542755 0.19723020 -0.01588335 0.13246458 -0.37460732
## [75,] 0.219778008 0.32684637 0.07372578 0.24509154 -0.25668284
## [76,] 0.400000000 0.50000000 0.20000000 0.40000000 -0.10000000
## [77,] 0.621637333 0.71614759 0.36256217 0.59671845 0.09494407
## [78,] 0.883675450 0.97429625 0.56064952 0.83433069 0.32725879
## [79,] 1.184662850 1.27300982 0.79311859 1.11148160 0.59566562
## [80,] 1.522723394 1.61042114 1.05845541 1.42638912 0.89850877
## [81,] 1.895574567 1.98425026 1.35479093 1.77686212 1.23377117
## [82,] 2.300551441 2.39182839 1.67992131 2.16032397 1.59909535
## [83,] 2.734636012 2.83012726 2.03133297 2.57384159 1.99180909
## [84,] 3.194491504 3.29579347 2.40623190 3.01415937 2.40895539
## [85,] 3.676501142 3.78518729 2.80157685 3.47773763 2.84732628
## [86,] 4.176810841 4.29442552 3.21411601 3.96079504 3.30350014
## [87,] 4.691375203 4.81942751 3.64042650 4.45935428 3.77388187
## [88,] 5.216006136 5.35596397 4.07695616 4.96929043 4.25474540
## [89,] 5.746423410 5.89970771 4.52006709 5.48638125 4.74227786
## [90,] 6.278306395 6.44628547 4.96608021 6.00635870 5.23262483
## [91,] 6.807346238 6.99133044 5.41132017 6.52496092 5.72193604
## [92,] 7.329297722 7.53053421 5.85216013 7.03798387 6.20641069
## [93,] 7.840030035 8.05969790 6.28506550 7.54133200 6.68234200
## [94,] 8.335575740 8.57478132 6.70663624 8.03106699 7.14616012
## [95,] 8.812177209 9.07194974 7.11364692 8.50345416 7.59447289
## [96,] 9.266329869 9.54761742 7.50308410 8.95500556 8.02410386
## [97,] 9.694821643 9.99848737 7.87218041 9.38251939 8.43212704
## [98,] 10.094768016 10.42158676 8.21844485 9.78311498 8.81589782
## [99,] 10.463642235 10.81429747 8.53968899 10.15426303 9.17307972
## [100,] 10.799300245 11.17438136 8.83404851 10.49381050 9.50166661
## [101,] 11.100000000 11.50000000 9.10000000 10.80000000 9.80000000
## ys ys ys ys ys ys
## [1,] 1.120000e+01 8.3000000 10.8000000 9.30000000 8.0000000 10.40000000
## [2,] 1.147599e+01 8.4945876 11.0728630 9.52851577 8.2079350 10.64597242
## [3,] 1.171278e+01 8.6632581 11.3128236 9.72352573 8.3914789 10.85561843
## [4,] 1.190988e+01 8.8056242 11.5192965 9.88464978 8.5501856 11.02852800
## [5,] 1.206726e+01 8.9215829 11.6920633 10.01189445 8.6838876 11.16470703
## [6,] 1.218529e+01 9.0113087 11.8312642 10.10564266 8.7926895 11.26456642
## [7,] 1.226480e+01 9.0752432 11.9373840 10.16663835 8.8769575 11.32890552
## [8,] 1.230697e+01 9.1140806 12.0112344 10.19596586 8.9373056 11.35889017
## [9,] 1.231338e+01 9.1287500 12.0539311 10.19502488 8.9745780 11.35602566
## [10,] 1.228591e+01 9.1203947 12.0668673 10.16550091 8.9898289 11.32212525
## [11,] 1.222677e+01 9.0903491 12.0516835 10.10933216 8.9842994 11.25927453
## [12,] 1.213840e+01 9.0401123 12.0102345 10.02867316 8.9593918 11.16979246
## [13,] 1.202343e+01 8.9713207 11.9445534 9.92585573 8.9166426 11.05618951
## [14,] 1.188469e+01 8.8857190 11.8568146 9.80334811 8.8576939 10.92112377
## [15,] 1.172510e+01 8.7851300 11.7492948 9.66371258 8.7842630 10.76735562
## [16,] 1.154764e+01 8.6714237 11.6243333 9.50956267 8.6981130 10.59770164
## [17,] 1.135532e+01 8.5464872 11.4842931 9.34352025 8.6010220 10.41498873
## [18,] 1.115111e+01 8.4121941 11.3315215 9.16817346 8.4947539 10.22200889
## [19,] 1.093788e+01 8.2703756 11.1683132 8.98603601 8.3810293 10.02147551
## [20,] 1.071841e+01 8.1227927 10.9968738 8.79950851 8.2614982 9.81598196
## [21,] 1.049529e+01 7.9711103 10.8192872 8.61084251 8.1377148 9.60796286
## [22,] 1.027093e+01 7.8168735 10.6374845 8.42210767 8.0111142 9.39965892
## [23,] 1.004747e+01 7.6614866 10.4532177 8.23516275 7.8829915 9.19308567
## [24,] 9.826806e+00 7.5061951 10.2680359 8.05163064 7.7544848 8.99000670
## [25,] 9.610551e+00 7.3520707 10.0832663 7.87287806 7.6265599 8.79191177
## [26,] 9.400000e+00 7.2000000 9.9000000 7.70000000 7.5000000 8.60000000
## [27,] 9.196133e+00 7.0506763 9.7190813 7.53380926 7.3753978 8.41516865
## [28,] 8.999606e+00 6.9045956 9.5411031 7.37483118 7.2531518 8.23800730
## [29,] 8.810749e+00 6.7620563 9.3664061 7.22330365 7.1334663 8.06879778
## [30,] 8.629574e+00 6.6231620 9.1950832 7.07918228 7.0163546 7.90751960
## [31,] 8.455782e+00 6.4878287 9.0269886 6.94215074 6.9016468 7.75386089
## [32,] 8.288789e+00 6.3557948 8.8617514 6.81163592 6.7890000 7.60723464
## [33,] 8.127737e+00 6.2266350 8.6987933 6.68682783 6.6779121 7.46679976
## [34,] 7.971531e+00 6.0997764 8.5373502 6.56670362 6.5677392 7.33148684
## [35,] 7.818866e+00 5.9745186 8.3764977 6.45005555 6.4577149 7.20002796
## [36,] 7.668261e+00 5.8500545 8.2151788 6.33552230 6.3469720 7.07099013
## [37,] 7.518103e+00 5.7254948 8.0522356 6.22162303 6.2345671 6.94281168
## [38,] 7.366682e+00 5.5998929 7.8864414 6.10679373 6.1195055 6.81384114
## [39,] 7.212240e+00 5.4722713 7.7165353 5.98942515 6.0007681 6.68237774
## [40,] 7.053009e+00 5.3416487 7.5412577 5.86790164 5.8773388 6.54671300
## [41,] 6.887262e+00 5.2070675 7.3593850 5.74064039 5.7482314 6.40517257
## [42,] 6.713351e+00 5.0676207 7.1697654 5.60613011 5.6125172 6.25615770
## [43,] 6.529753e+00 4.9224779 6.9713524 5.46296881 5.4693513 6.09818558
## [44,] 6.335112e+00 4.7709107 6.7632375 5.30989978 5.3179974 5.92992785
## [45,] 6.128273e+00 4.6123161 6.5446803 5.14584532 5.1578516 5.75024660
## [46,] 5.908321e+00 4.4462374 6.3151364 4.96993748 4.9884634 5.55822732
## [47,] 5.674609e+00 4.2723837 6.0742810 4.78154538 4.8095550 5.35320806
## [48,] 5.426787e+00 4.0906454 5.8220305 4.58029863 4.6210366 5.13480450
## [49,] 5.164821e+00 3.9011075 5.5585584 4.36610634 4.4230201 4.90293022
## [50,] 4.889011e+00 3.7040593 5.2843080 4.13917144 4.2158281 4.65781205
## [51,] 4.600000e+00 3.5000000 5.0000000 3.90000000 4.0000000 4.40000000
## [52,] 4.298780e+00 3.2896418 4.7066352 3.64940539 3.7762944 4.13037168
## [53,] 3.986688e+00 3.0739082 4.4054926 3.38850712 3.5456874 3.85013106
## [54,] 3.665402e+00 2.8539287 4.0981224 3.11872438 3.3093674 3.56080146
## [55,] 3.336924e+00 2.6310305 3.7863340 2.84176426 3.0687258 3.26421301
## [56,] 3.003561e+00 2.4067253 3.4721800 2.55960492 2.8253445 2.96248457
## [57,] 2.667902e+00 2.1826940 3.1579345 2.27447381 2.5809797 2.65800036
## [58,] 2.332786e+00 1.9607674 2.8460680 1.98882131 2.3375424 2.35338180
## [59,] 2.001269e+00 1.7429036 2.5392186 1.70529015 2.0970756 2.05145472
## [60,] 1.676579e+00 1.5311638 2.2401588 1.42668111 1.8617297 1.75521262
## [61,] 1.362080e+00 1.3276849 1.9517606 1.15591542 1.6337346 1.46777645
## [62,] 1.061224e+00 1.1346504 1.6769570 0.89599452 1.4153709 1.19235149
## [63,] 7.774970e-01 0.9542604 1.4187020 0.64995772 1.2089384 0.93218205
## [64,] 5.143772e-01 0.7887000 1.1799300 0.42083844 1.0167251 0.69050467
## [65,] 2.752785e-01 0.6401074 0.9635138 0.21161974 0.8409744 0.47050044
## [66,] 6.350160e-02 0.5105423 0.7722225 0.02518975 0.6838530 0.27524738
## [67,] -1.178165e-01 0.4019542 0.6086808 -0.13570226 0.5474194 0.10767339
## [68,] -2.657514e-01 0.3161523 0.4753288 -0.26848849 0.4335925 -0.02948927
## [69,] -3.776372e-01 0.2547764 0.3743844 -0.37082318 0.3441227 -0.13374748
## [70,] -4.511103e-01 0.2192700 0.3078077 -0.44062067 0.2805646 -0.20288784
## [71,] -4.841489e-01 0.2108557 0.2772686 -0.47609009 0.2442512 -0.23501384
## [72,] -4.751082e-01 0.2305132 0.2841181 -0.47576638 0.2362725 -0.22857896
## [73,] -4.227508e-01 0.2789604 0.3293634 -0.43853691 0.2574555 -0.18241513
## [74,] -3.262718e-01 0.3566386 0.4136479 -0.36366349 0.3083489 -0.09575619
## [75,] -1.853179e-01 0.4636998 0.5372354 -0.25079923 0.3892107 0.03174413
## [76,] -1.332268e-15 0.6000000 0.7000000 -0.10000000 0.5000000 0.20000000
## [77,] 2.290996e-01 0.7650943 0.9014204 0.08826958 0.6403728 0.40848725
## [78,] 5.009275e-01 0.9582381 1.1405806 0.31313597 0.8096819 0.65624321
## [79,] 8.139659e-01 1.1783907 1.4161750 0.57332219 1.0069808 0.94187276
## [80,] 1.166245e+00 1.4242246 1.7265194 0.86715901 1.2310320 1.26356036
## [81,] 1.555363e+00 1.6941373 2.0695672 1.19260168 1.4803192 1.61908812
## [82,] 1.978512e+00 1.9862679 2.4429302 1.54725192 1.7530628 2.00585948
## [83,] 2.432506e+00 2.2985170 2.8439043 1.92838500 2.0472399 2.42092827
## [84,] 2.913823e+00 2.6285700 3.2695001 2.33298135 2.3606072 2.86103277
## [85,] 3.418640e+00 2.9739229 3.7164762 2.75776243 2.6907266 3.32263416
## [86,] 3.942884e+00 3.3319115 4.1813770 3.19923011 3.0349940 3.80195889
## [87,] 4.482277e+00 3.6997426 4.6605729 3.65370929 3.3906703 4.29504438
## [88,] 5.032388e+00 4.0745261 5.1503032 4.11739281 3.7549135 4.79778730
## [89,] 5.588690e+00 4.4533098 5.6467200 4.58638831 4.1248129 5.30599382
## [90,] 6.146611e+00 4.8331139 6.1459338 5.05676604 4.4974238 5.81543094
## [91,] 6.701593e+00 5.2109664 6.6440592 5.52460719 4.8698026 6.32187842
## [92,] 7.249143e+00 5.5839379 7.1372608 5.98605191 5.2390414 6.82118017
## [93,] 7.784893e+00 5.9491757 7.6217973 6.43734622 5.6023023 7.30929480
## [94,] 8.304645e+00 6.3039373 8.0940649 6.87488739 5.9568506 7.78234412
## [95,] 8.804427e+00 6.6456212 8.5506381 7.29526683 6.3000857 8.23665928
## [96,] 9.280534e+00 6.9717966 8.9883078 7.69531011 6.6295705 8.66882366
## [97,] 9.729573e+00 7.2802296 9.4041164 8.07211333 6.9430584 9.07571198
## [98,] 1.014850e+01 7.5689075 9.7953884 8.42307553 7.2385164 9.45452496
## [99,] 1.053465e+01 7.8360588 10.1597579 8.74592651 7.5141462 9.80281926
## [100,] 1.088576e+01 8.0801701 10.4951902 9.03874972 7.7684013 10.11853206
## [101,] 1.120000e+01 8.3000000 10.8000000 9.30000000 8.0000000 10.40000000
## ys ys ys ys ys ys
## [1,] 9.2000000 1.040000e+01 9.8000000 11.2000000 10.10000000 9.5000000
## [2,] 9.4389356 1.067835e+01 10.0100725 11.4591217 10.36480958 9.7442280
## [3,] 9.6525684 1.092222e+01 10.1874904 11.6830382 10.59321840 9.9611591
## [4,] 9.8403337 1.113101e+01 10.3319152 11.8712553 10.78474240 10.1502155
## [5,] 10.0019492 1.130456e+01 10.4433734 12.0236727 10.93931400 10.3111098
## [6,] 10.1374093 1.144307e+01 10.5222472 12.1405738 11.05727152 10.4438393
## [7,] 10.2469751 1.154709e+01 10.5692594 12.2226112 11.13934289 10.5486758
## [8,] 10.3311607 1.161755e+01 10.5854551 12.2707863 11.18662395 10.6261521
## [9,] 10.3907162 1.165569e+01 10.5721774 12.2864244 11.20055177 10.6770449
## [10,] 10.4266079 1.166303e+01 10.5310405 12.2711455 11.18287329 10.7023545
## [11,] 10.4399954 1.164136e+01 10.4638983 12.2268316 11.13561011 10.7032824
## [12,] 10.4322064 1.159271e+01 10.3728105 12.1555904 11.06101965 10.6812054
## [13,] 10.4047099 1.151929e+01 10.2600063 12.0597167 10.96155364 10.6376489
## [14,] 10.3590876 1.142343e+01 10.1278460 11.9416513 10.83981436 10.5742580
## [15,] 10.2970044 1.130761e+01 9.9787815 11.8039388 10.69850959 10.4927678
## [16,] 10.2201785 1.117433e+01 9.8153163 11.6491853 10.54040674 10.3949729
## [17,] 10.1303514 1.102615e+01 9.6399652 11.4800149 10.36828711 10.2826975
## [18,] 10.0292580 1.086557e+01 9.4552149 11.2990283 10.18490089 10.1577655
## [19,] 9.9185987 1.069505e+01 9.2634861 11.1087612 9.99292363 10.0219710
## [20,] 9.8000113 1.051695e+01 9.0670973 10.9116466 9.79491490 9.8770513
## [21,] 9.6750465 1.033349e+01 8.8682306 10.7099776 9.59327981 9.7246606
## [22,] 9.5451437 1.014671e+01 8.6689014 10.5058752 9.39023387 9.5663470
## [23,] 9.4116114 9.958469e+00 8.4709305 10.3012589 9.18777184 9.4035308
## [24,] 9.2756088 9.770389e+00 8.2759212 10.0978213 8.98764111 9.2374868
## [25,] 9.1381314 9.583858e+00 8.0852396 9.8970076 8.79131978 9.0693293
## [26,] 9.0000000 9.400000e+00 7.9000000 9.7000000 8.60000000 8.9000000
## [27,] 8.8618531 9.219673e+00 7.7210546 9.5077064 8.41457667 8.7302605
## [28,] 8.7241425 9.043456e+00 7.5489884 9.3207552 8.23564171 8.5606874
## [29,] 8.5871336 8.871657e+00 7.3841189 9.1394947 8.06348396 8.3916717
## [30,] 8.4509082 8.704311e+00 7.2265000 8.9639979 7.89809454 8.2234216
## [31,] 8.3153717 8.541193e+00 7.0759321 8.7940722 7.73917785 8.0559688
## [32,] 8.1802633 8.381832e+00 6.9319749 8.6292743 7.58616759 7.8891787
## [33,] 8.0451698 8.225534e+00 6.7939663 8.4689296 7.43824788 7.7227628
## [34,] 7.9095418 8.071398e+00 6.6610436 8.3121555 7.29437885 7.5562957
## [35,] 7.7727135 7.918353e+00 6.5321697 8.1578888 7.15332634 7.3892329
## [36,] 7.6339234 7.765179e+00 6.4061619 8.0049167 7.01369523 7.2209325
## [37,] 7.4923389 7.610549e+00 6.2817224 7.8519101 6.87396565 7.0506782
## [38,] 7.3470804 7.453059e+00 6.1574728 7.6974592 6.73253173 6.8777037
## [39,] 7.1972480 7.291269e+00 6.0319882 7.5401112 6.58774187 6.7012184
## [40,] 7.0419481 7.123738e+00 5.9038337 7.3784083 6.43794020 6.5204339
## [41,] 6.8803206 6.949065e+00 5.7715997 7.2109262 6.28150814 6.3345906
## [42,] 6.7115650 6.765926e+00 5.6339386 7.0363123 6.11690574 6.1429838
## [43,] 6.5349668 6.573110e+00 5.4895987 6.8533230 5.94271169 5.9449888
## [44,] 6.3499216 6.369558e+00 5.3374582 6.6608586 5.75766164 5.7400860
## [45,] 6.1559586 6.154390e+00 5.1765558 6.4579970 5.56068397 5.5278828
## [46,] 5.9527606 5.926940e+00 5.0061194 6.2440234 5.35093242 5.3081341
## [47,] 5.7401833 5.686781e+00 4.8255911 6.0184571 5.12781503 5.0807607
## [48,] 5.5182698 5.433746e+00 4.6346491 5.7810744 4.89101889 4.8458643
## [49,] 5.2872638 5.167950e+00 4.4332251 5.5319271 4.64053019 4.6037397
## [50,] 5.0476180 4.889799e+00 4.2215175 5.2713560 4.37664920 4.3548837
## [51,] 4.8000000 4.600000e+00 4.0000000 5.0000000 4.10000000 4.1000000
## [52,] 4.5452938 4.299568e+00 3.7694257 4.7187994 3.81153453 3.8400014
## [53,] 4.2845979 3.989818e+00 3.5308258 4.4289946 3.51253109 3.5760072
## [54,] 4.0192193 3.672362e+00 3.2855037 4.1321188 3.20458706 3.3093375
## [55,] 3.7506642 3.349096e+00 3.0350239 3.8299860 2.88960604 3.0415036
## [56,] 3.4806247 3.022180e+00 2.7811970 3.5246738 2.56977947 2.7741947
## [57,] 3.2109621 2.694019e+00 2.5260590 3.2185009 2.24756300 2.5092614
## [58,] 2.9436873 2.367232e+00 2.2718473 2.9140008 1.92564802 2.2486959
## [59,] 2.6809374 2.044626e+00 2.0209722 2.6138906 1.60692862 1.9946087
## [60,] 2.4249507 1.729154e+00 1.7759856 2.3210365 1.29446458 1.7492040
## [61,] 2.1780386 1.423884e+00 1.5395459 2.0384160 0.99144087 1.5147516
## [62,] 1.9425562 1.131953e+00 1.3143809 1.7690772 0.70112429 1.2935572
## [63,] 1.7208711 8.565263e-01 1.1032491 1.5160967 0.42681792 1.0879321
## [64,] 1.5153313 6.007541e-01 0.9088987 1.2825353 0.17181408 0.9001609
## [65,] 1.3282329 3.677243e-01 0.7340270 1.0713935 -0.06065353 0.7324696
## [66,] 1.1617875 1.604191e-01 0.5812395 0.8855672 -0.26745772 0.5869931
## [67,] 1.0180901 -1.832996e-02 0.4530087 0.7278031 -0.44562499 0.4657439
## [68,] 0.8990884 -1.658846e-01 0.3516355 0.6006567 -0.59238127 0.3705809
## [69,] 0.8065534 -2.798407e-01 0.2792115 0.5064516 -0.70519560 0.3031810
## [70,] 0.7420514 -3.580668e-01 0.2375842 0.4472413 -0.78182079 0.2650115
## [71,] 0.7069196 -3.987387e-01 0.2283252 0.4247749 -0.82033080 0.2573054
## [72,] 0.7022429 -4.003709e-01 0.2527013 0.4404661 -0.81915391 0.2810397
## [73,] 0.7288356 -3.618430e-01 0.3116507 0.4953669 -0.77710130 0.3369162
## [74,] 0.7872249 -2.824219e-01 0.4057626 0.5901459 -0.69339060 0.4253468
## [75,] 0.8776392 -1.617787e-01 0.5352622 0.7250712 -0.56766389 0.5464413
## [76,] 1.0000000 -1.332268e-15 0.7000000 0.9000000 -0.40000000 0.7000000
## [77,] 1.1539175 2.024063e-01 0.8994472 1.1143724 -0.19092077 0.8855101
## [78,] 1.3386911 4.445109e-01 1.1326953 1.3672119 0.05860880 1.1021463
## [79,] 1.5533134 7.249687e-01 1.3984623 1.6571311 0.34718659 1.3487753
## [80,] 1.7964784 1.042030e+00 1.6951026 1.9823434 0.67298542 1.6239651
## [81,] 2.0665943 1.393560e+00 2.0206237 2.3406802 1.03377117 1.9259972
## [82,] 2.3617994 1.777056e+00 2.3727066 2.7296135 1.42692653 2.2528841
## [83,] 2.6799822 2.189679e+00 2.7487314 3.1462832 1.84948015 2.6023892
## [84,] 3.0188046 2.628287e+00 3.1458068 3.5875295 2.29814077 2.9720507
## [85,] 3.3757280 3.089465e+00 3.5608041 4.0499292 2.76933578 3.3592086
## [86,] 3.7480426 3.569574e+00 3.9903940 4.5298357 3.25925379 3.7610335
## [87,] 4.1328985 4.064783e+00 4.4310862 5.0234223 3.76389040 4.1745592
## [88,] 4.5273386 4.571127e+00 4.8792719 5.5267273 4.27909672 4.5967153
## [89,] 4.9283331 5.084544e+00 5.3312671 6.0357022 4.80062968 5.0243627
## [90,] 5.3328145 5.600929e+00 5.7833577 6.5462593 5.32420375 5.4543287
## [91,] 5.7377134 6.116182e+00 6.2318445 7.0543214 5.84554284 5.8834433
## [92,] 6.1399935 6.626256e+00 6.6730876 7.5558697 6.36043214 6.3085748
## [93,] 6.5366868 7.127205e+00 7.1035510 8.0469921 6.86476870 6.7266648
## [94,] 6.9249263 7.615229e+00 7.5198442 8.5239286 7.35461033 7.1347619
## [95,] 7.3019787 8.086722e+00 7.9187626 8.9831152 7.82622191 7.5300545
## [96,] 7.6652734 8.538308e+00 8.2973248 9.4212242 8.27611857 7.9098999
## [97,] 8.0124301 8.966878e+00 8.6528063 9.8352016 8.70110501 8.2718527
## [98,] 8.3412832 9.369628e+00 8.9827697 10.2222998 9.09831057 8.6136887
## [99,] 8.6499026 9.744083e+00 9.2850911 10.5801058 9.46521929 8.9334266
## [100,] 8.9366114 1.008812e+01 9.5579808 10.9065652 9.79969490 9.2293457
## [101,] 9.2000000 1.040000e+01 9.8000000 11.2000000 10.10000000 9.5000000
## ys ys ys ys ys ys
## [1,] 9.900000000 9.2000000 10.90000000 10.2000000 10.30000000 10.10000000
## [2,] 10.166388192 9.4312760 11.18088649 10.4353860 10.59091242 10.38012792
## [3,] 10.399526636 9.6345278 11.41981626 10.6384122 10.84729434 10.62928715
## [4,] 10.598912596 9.8092594 11.61634719 10.8086390 11.06855130 10.84682826
## [5,] 10.764447467 9.9552858 11.77052960 10.9459911 11.25449837 11.03244334
## [6,] 10.896426302 10.0727263 11.88289302 11.0507483 11.40535005 11.18615851
## [7,] 10.995521697 10.1619925 11.95442614 11.1235316 11.52170446 11.30832191
## [8,] 11.062762312 10.2237733 11.98655035 11.1652841 11.60452214 11.39958720
## [9,] 11.099506422 10.2590155 11.98108724 11.1772482 11.65509990 11.46089313
## [10,] 11.107410951 10.2689015 11.94022070 11.1609385 11.67504005 11.49343928
## [11,] 11.088396515 10.2548237 11.86645418 11.1181107 11.66621571 11.49865866
## [12,] 11.044609060 10.2183561 11.76256389 11.0507287 11.63073263 11.47818741
## [13,] 10.978378736 10.1612249 11.63154865 10.9609283 11.57088817 11.43383218
## [14,] 10.892176677 10.0852758 11.47657722 10.8509787 11.48912826 11.36753582
## [15,] 10.788570398 9.9924422 11.30093397 10.7232444 11.38800289 11.28134183
## [16,] 10.670178538 9.8847107 11.10796379 10.5801446 11.27012091 11.17735819
## [17,] 10.539625676 9.7640887 10.90101706 10.4241136 11.13810489 11.05772113
## [18,] 10.399497951 9.6325708 10.68339559 10.2575622 10.99454673 10.92455953
## [19,] 10.252300193 9.4921073 10.45830040 10.0828390 10.84196480 10.77996038
## [20,] 10.100415261 9.3445742 10.22878217 9.9021955 10.68276322 10.62593588
## [21,] 9.946066219 9.1917442 9.99769507 9.7177516 10.51919392 10.46439282
## [22,] 9.791281957 9.0352617 9.76765479 9.5314656 10.35332219 10.29710453
## [23,] 9.637866792 8.8766194 9.54100134 9.3451073 10.18699609 10.12568598
## [24,] 9.487374528 8.7171389 9.31976722 9.1602337 10.02182038 9.95157236
## [25,] 9.341087369 8.5579544 9.10565150 8.9781713 9.85913522 9.77600144
## [26,] 9.200000000 8.4000000 8.90000000 8.8000000 9.70000000 9.60000000
## [27,] 9.064809083 8.2440018 8.70379217 8.6265443 9.54518262 9.42437453
## [28,] 8.935908300 8.0904728 8.51763453 8.4583676 9.39515421 9.24970625
## [29,] 8.813389007 7.9397129 8.34176092 8.2957719 9.25008951 9.07635061
## [30,] 8.697046453 7.7918123 8.17603951 8.1388023 9.10987275 8.90444116
## [31,] 8.586391444 7.6466592 8.01998631 7.9872564 8.97410895 8.73389765
## [32,] 8.480667229 7.5039514 7.87278503 7.8406980 8.84214046 8.56443838
## [33,] 8.378871310 7.3632109 7.73331294 7.6984750 8.71306834 8.39559634
## [34,] 8.279781785 7.2238024 7.60017208 7.5597416 8.58577835 8.22673895
## [35,] 8.181987778 7.0849547 7.47172557 7.4234836 8.45897091 8.05709107
## [36,] 8.083923428 6.9457845 7.34613818 7.2885472 8.33119465 7.88576077
## [37,] 7.983904843 6.8053222 7.22142043 7.1536701 8.20088294 7.71176749
## [38,] 7.880169411 6.6625403 7.09547574 7.0175149 8.06639273 7.53407203
## [39,] 7.770916776 6.5163817 6.96614944 6.8787039 7.92604503 7.35160786
## [40,] 7.654350792 6.3657899 6.83127914 6.7358546 7.77816641 7.16331325
## [41,] 7.528721739 6.2097387 6.68874542 6.5876155 7.62113074 6.96816349
## [42,] 7.392368079 6.0472619 6.53652198 6.4327021 7.45340042 6.76520289
## [43,] 7.243757030 5.8774821 6.37272449 6.2699308 7.27356650 6.55357572
## [44,] 7.081523281 5.6996380 6.19565721 6.0982526 7.08038688 6.33255571
## [45,] 6.904505159 5.5131100 6.00385663 5.9167833 6.87282203 6.10157359
## [46,] 6.711777630 5.3174437 5.79613131 5.7248318 6.65006747 5.86024202
## [47,] 6.502681558 5.1123700 5.57159737 5.5219254 6.41158256 5.60837763
## [48,] 6.276848693 4.8978231 5.32970878 5.3078304 6.15711504 5.34601966
## [49,] 6.034221950 4.6739543 5.07028217 5.0825699 5.88672083 5.07344483
## [50,] 5.775070587 4.4411424 4.79351543 4.8464364 5.60077878 4.79117824
## [51,] 5.500000000 4.2000000 4.50000000 4.6000000 5.30000000 4.50000000
## [52,] 5.209955912 3.9513763 4.19072644 4.3441122 4.98543169 4.20094736
## [53,] 4.906222848 3.6963551 3.86708312 4.0799040 4.65845514 3.89531243
## [54,] 4.590416862 3.4362489 3.53084816 3.8087799 4.32077816 3.58463530
## [55,] 4.264472573 3.1725889 3.18417445 3.5324063 3.97442167 3.27069270
## [56,] 3.930624681 2.9071111 2.82956816 3.2526959 3.62170093 2.95548227
## [57,] 3.591384185 2.6417385 2.46986092 2.9717868 3.26520142 2.64120279
## [58,] 3.249509657 2.3785595 2.10817601 2.6920183 2.90774982 2.33023037
## [59,] 2.907973963 2.1198034 1.74788922 2.4159014 2.55238049 2.02509118
## [60,] 2.569926924 1.8678129 1.39258475 2.1460877 2.20229783 1.72843102
## [61,] 2.238654469 1.6250137 1.04600700 1.8853335 1.86083527 1.44298212
## [62,] 1.917534884 1.3938828 0.71200884 1.6364627 1.53141132 1.17152775
## [63,] 1.609992822 1.1769143 0.39449722 1.4023271 1.21748339 0.91686507
## [64,] 1.319451764 0.9765850 0.09737691 1.1857659 0.92250018 0.68176693
## [65,] 1.049285658 0.7953189 -0.17550670 0.9895641 0.64985316 0.46894301
## [66,] 0.802770479 0.6354519 -0.42042497 0.8164112 0.40282811 0.28100103
## [67,] 0.583036449 0.4991969 -0.63382251 0.6688602 0.18455724 0.12040857
## [68,] 0.393021664 0.3886103 -0.81237205 0.5492882 -0.00202711 -0.01054384
## [69,] 0.235427838 0.3055599 -0.95302677 0.4598586 -0.15423677 -0.10977795
## [70,] 0.112678856 0.2516948 -1.05306923 0.4024861 -0.26966910 -0.17546058
## [71,] 0.026882797 0.2284184 -1.11015625 0.3788043 -0.34624491 -0.20603360
## [72,] -0.020201997 0.2368636 -1.12235884 0.3901370 -0.38224223 -0.20024056
## [73,] -0.027196249 0.2778723 -1.08819668 0.4374739 -0.37632554 -0.15714954
## [74,] 0.006875989 0.3519781 -1.00666660 0.5214500 -0.32756986 -0.07617194
## [75,] 0.082568527 0.4593933 -0.87726442 0.6423305 -0.23547932 0.04292328
## [76,] 0.200000000 0.6000000 -0.70000000 0.8000000 -0.10000000 0.20000000
## [77,] 0.358846813 0.7733459 -0.47540510 0.9939574 0.07847328 0.39455019
## [78,] 0.558342216 0.9786443 -0.20453391 1.2233161 0.29909631 0.62569416
## [79,] 0.797281535 1.2147789 0.11104373 1.4868092 0.56058103 0.89218582
## [80,] 1.074033507 1.4803130 0.46925644 1.7828004 0.86120721 1.19242281
## [81,] 1.386557573 1.7735034 0.86755251 2.1092994 1.19884006 1.52446156
## [82,] 1.732426888 2.0923176 1.30292791 2.4639836 1.57095366 1.88603691
## [83,] 2.108856721 2.4344563 1.77196070 2.8442226 1.97465969 2.27458608
## [84,] 2.512737830 2.7973787 2.27085146 3.2471087 2.40674126 2.68727674
## [85,] 2.940674347 3.1783309 2.79546898 3.6694902 2.86369122 3.12103863
## [86,] 3.389025589 3.5743782 3.34140064 4.1080086 3.34175437 3.57259844
## [87,] 3.853951213 3.9824389 3.90400684 4.5591385 3.83697311 4.03851735
## [88,] 4.331459030 4.3993205 4.47847839 5.0192297 4.34523571 4.51523072
## [89,] 4.817454783 4.8217574 5.05989643 5.4845514 4.86232653 4.99908938
## [90,] 5.307793152 5.2464490 5.64329359 5.9513368 5.38397753 5.48640191
## [91,] 5.798329244 5.6700987 6.22371576 6.4158287 5.90592024 5.97347729
## [92,] 6.284969796 6.0894525 6.79628347 6.8743241 6.42393746 6.45666740
## [93,] 6.763723355 6.5013368 7.35625197 7.3232188 6.93391389 6.93240859
## [94,] 7.230748688 6.9026948 7.89906915 7.7590498 7.43188509 7.39726186
## [95,] 7.682400723 7.2906209 8.42043043 8.1785352 7.91408385 7.84795112
## [96,] 8.115273353 7.6623937 8.91632987 8.5786124 8.37698351 8.28139877
## [97,] 8.526238482 8.0155047 9.38310668 8.9564720 8.81733748 8.69475840
## [98,] 8.912480765 8.3476851 9.81748657 9.3095885 9.23221441 9.08544391
## [99,] 9.271527534 8.6569286 10.21661721 9.6357463 9.61902865 9.45115476
## [100,] 9.601273517 8.9415100 10.57809750 9.9330619 9.97556533 9.78989704
## [101,] 9.900000000 9.2000000 10.90000000 10.2000000 10.30000000 10.10000000
## ys ys ys ys ys ys
## [1,] 10.6000000 11.0000000 11.0000000 1.140000e+01 1.040000e+01 9.3000000
## [2,] 10.8540259 11.2593191 11.2848299 1.169463e+01 1.066501e+01 9.5067510
## [3,] 11.0752236 11.4838268 11.5355371 1.194960e+01 1.089401e+01 9.6867477
## [4,] 11.2630821 11.6730266 11.7515217 1.216439e+01 1.108651e+01 9.8395579
## [5,] 11.4174564 11.8268143 11.9325737 1.233892e+01 1.124246e+01 9.9650375
## [6,] 11.5385591 11.9454681 12.0788636 1.247358e+01 1.136217e+01 10.0633234
## [7,] 11.6269466 12.0296336 12.1909281 1.256920e+01 1.144637e+01 10.1348234
## [8,] 11.6835006 12.0803036 12.2696499 1.262700e+01 1.149614e+01 10.1802018
## [9,] 11.7094050 12.0987937 12.3162339 1.264859e+01 1.151292e+01 10.2003620
## [10,] 11.7061193 12.0867127 12.3321778 1.263594e+01 1.149844e+01 10.1964257
## [11,] 11.6753480 12.0459299 12.3192406 1.259131e+01 1.145471e+01 10.1697096
## [12,] 11.6190073 11.9785391 12.2794061 1.251721e+01 1.138397e+01 10.1216997
## [13,] 11.5391893 11.8868199 12.2148450 1.241639e+01 1.128866e+01 10.0540238
## [14,] 11.4381240 11.7731966 12.1278746 1.229174e+01 1.117136e+01 9.9684222
## [15,] 11.3181408 11.6401964 12.0209169 1.214629e+01 1.103477e+01 9.8667174
## [16,] 11.1816282 11.4904067 11.8964565 1.198311e+01 1.088163e+01 9.7507841
## [17,] 11.0309947 11.3264322 11.7569981 1.180530e+01 1.071470e+01 9.6225181
## [18,] 10.8686295 11.1508529 11.6050248 1.161589e+01 1.053673e+01 9.4838061
## [19,] 10.6968651 10.9661833 11.4429583 1.141785e+01 1.035035e+01 9.3364969
## [20,] 10.5179409 10.7748341 11.2731198 1.121401e+01 1.015810e+01 9.1823729
## [21,] 10.3339702 10.5790759 11.0976951 1.100700e+01 9.962378e+00 9.0231250
## [22,] 10.1469096 10.3810062 10.9187015 1.079926e+01 9.765365e+00 8.8603281
## [23,] 9.9585316 10.1825208 10.7379594 1.059296e+01 9.569034e+00 8.6954203
## [24,] 9.7704015 9.9852880 10.5570672 1.038998e+01 9.375108e+00 8.5296847
## [25,] 9.5838583 9.7907286 10.3773812 1.019191e+01 9.185041e+00 8.3642342
## [26,] 9.4000000 9.6000000 10.2000000 1.000000e+01 9.000000e+00 8.2000000
## [27,] 9.2196733 9.4139855 10.0257543 9.815167e+00 8.820856e+00 8.0377235
## [28,] 9.0434687 9.2332886 9.8552011 9.637982e+00 8.648175e+00 7.8779519
## [29,] 8.8717199 9.0582329 9.6886240 9.468672e+00 8.482222e+00 7.7210375
## [30,] 8.7045082 8.8888669 9.5260381 9.307125e+00 8.322964e+00 7.5671407
## [31,] 8.5416716 8.7249739 9.3671999 9.152903e+00 8.170080e+00 7.4162366
## [32,] 8.3828185 8.5660868 9.2116223 9.005262e+00 8.022980e+00 7.2681252
## [33,] 8.2273452 8.4115076 9.0585942 8.863177e+00 7.880826e+00 7.1224445
## [34,] 8.0744582 8.2603309 8.9072043 8.725367e+00 7.742554e+00 6.9786870
## [35,] 7.9231993 8.1114715 8.7563680 8.590334e+00 7.606909e+00 6.8362188
## [36,] 7.7724738 7.9636952 8.6048591 8.456400e+00 7.472474e+00 6.6943008
## [37,] 7.6210817 7.8156525 8.4513426 8.321746e+00 7.337708e+00 6.5521127
## [38,] 7.4677508 7.6659139 8.2944108 8.184458e+00 7.200986e+00 6.4087772
## [39,] 7.3111712 7.5130081 8.1326207 8.042574e+00 7.060639e+00 6.2633870
## [40,] 7.1500305 7.3554597 7.9645319 7.894128e+00 6.914992e+00 6.1150308
## [41,] 6.9830494 7.1918279 7.7887454 7.737204e+00 6.762410e+00 5.9628212
## [42,] 6.8090173 7.0207451 7.6039414 7.569975e+00 6.601339e+00 5.8059205
## [43,] 6.6268263 6.8409536 7.4089164 7.390754e+00 6.430342e+00 5.6435673
## [44,] 6.4355037 6.6513413 7.2026184 7.198036e+00 6.248144e+00 5.4751012
## [45,] 6.2342430 6.4509747 6.9841798 6.990540e+00 6.053662e+00 5.2999857
## [46,] 6.0224313 6.2391290 6.7529471 6.767244e+00 5.846038e+00 5.1178295
## [47,] 5.7996740 6.0153154 6.5085080 6.527421e+00 5.624673e+00 4.9284051
## [48,] 5.5658161 5.7793031 6.2507131 6.270665e+00 5.389248e+00 4.7316642
## [49,] 5.3209584 5.5311385 5.9796948 5.996913e+00 5.139742e+00 4.5277513
## [50,] 5.0654708 5.2711587 5.6958802 5.706467e+00 4.876452e+00 4.3170120
## [51,] 4.8000000 5.0000000 5.4000000 5.400000e+00 4.600000e+00 4.1000000
## [52,] 4.5254724 4.7186021 5.0930912 5.078562e+00 4.311337e+00 3.8774784
## [53,] 4.2430926 4.4282061 4.7764957 4.743581e+00 4.011743e+00 3.6504186
## [54,] 3.9543368 4.1303475 4.4518525 4.396852e+00 3.702816e+00 3.4199950
## [55,] 3.6609410 3.8268444 4.1210850 4.040522e+00 3.386464e+00 3.1875759
## [56,] 3.3648851 3.5197795 3.7863840 3.677074e+00 3.064885e+00 2.9547106
## [57,] 3.0683718 3.2114786 3.4501841 3.309294e+00 2.740541e+00 2.7231138
## [58,] 2.7738018 2.9044835 3.1151372 2.940243e+00 2.416131e+00 2.4946461
## [59,] 2.4837447 2.6015213 2.7840812 2.573217e+00 2.094559e+00 2.2712916
## [60,] 2.2009069 2.3054693 2.4600042 2.211707e+00 1.778897e+00 2.0551329
## [61,] 1.9280962 2.0193177 2.1460070 1.859352e+00 1.472343e+00 1.8483244
## [62,] 1.6681841 1.7461286 1.8452616 1.519889e+00 1.178176e+00 1.6530629
## [63,] 1.4240661 1.4889936 1.5609685 1.197102e+00 8.997148e-01 1.4715572
## [64,] 1.1986206 1.2509900 1.2963120 8.947717e-01 6.402688e-01 1.3059968
## [65,] 0.9946678 1.0351359 1.0544154 6.166136e-01 4.030889e-01 1.1585200
## [66,] 0.8149276 0.8443457 0.8382959 3.662304e-01 1.913208e-01 1.0311819
## [67,] 0.6619791 0.6813857 0.6508199 1.470552e-01 7.957692e-03 0.9259233
## [68,] 0.5382208 0.5488321 0.4946601 -3.769997e-02 -1.442059e-01 0.8445403
## [69,] 0.4458325 0.4490295 0.3722545 -1.850939e-01 -2.626177e-01 0.7886552
## [70,] 0.3867407 0.3840537 0.2857680 -2.925028e-01 -3.450083e-01 0.7596898
## [71,] 0.3625856 0.3556766 0.2370573 -3.576625e-01 -3.894291e-01 0.7588410
## [72,] 0.3746931 0.3653351 0.2276398 -3.787068e-01 -3.942849e-01 0.7870585
## [73,] 0.4240496 0.4141051 0.2586664 -3.542002e-01 -3.583632e-01 0.8450267
## [74,] 0.5112823 0.5026792 0.3309000 -2.831646e-01 -2.808573e-01 0.9331490
## [75,] 0.6366434 0.6313503 0.4446977 -1.651002e-01 -1.613848e-01 1.0515364
## [76,] 0.8000000 0.8000000 0.6000000 -6.661338e-16 -8.881784e-16 1.2000000
## [77,] 1.0008285 1.0080934 0.7963246 2.116429e-01 2.028002e-01 1.3780471
## [78,] 1.2382151 1.2546786 1.0327661 4.688348e-01 4.460755e-01 1.5848818
## [79,] 1.5108612 1.5383930 1.3080018 7.700877e-01 7.284485e-01 1.8194096
## [80,] 1.8170944 1.8574744 1.6203032 1.113432e+00 1.048116e+00 2.0802460
## [81,] 2.1548842 2.2097785 1.9675525 1.496440e+00 1.402869e+00 2.3657294
## [82,] 2.5218631 2.5928010 2.3472655 1.916245e+00 1.790114e+00 2.6739375
## [83,] 2.9153524 3.0037053 2.7566186 2.369582e+00 2.206902e+00 3.0027075
## [84,] 3.3323921 3.4393541 3.1924807 2.852822e+00 2.649965e+00 3.3496594
## [85,] 3.7697745 3.8963465 3.6514500 3.362016e+00 3.115753e+00 3.7122226
## [86,] 4.2240821 4.3710572 4.1298933 3.892942e+00 3.600475e+00 4.0876652
## [87,] 4.6917269 4.8596799 4.6239898 4.441158e+00 4.100148e+00 4.4731247
## [88,] 5.1689938 5.3582726 5.1297758 5.002054e+00 4.610642e+00 4.8656418
## [89,] 5.6520841 5.8628053 5.6431928 5.570914e+00 5.127733e+00 5.2621941
## [90,] 6.1371610 6.3692080 6.1601358 6.142968e+00 5.647152e+00 5.6597318
## [91,] 6.6203948 6.8734197 6.6765022 6.713454e+00 6.164641e+00 6.0552128
## [92,] 7.0980088 7.3714369 7.1882406 7.277675e+00 6.675999e+00 6.4456381
## [93,] 7.5663234 7.8593614 7.6913986 7.831057e+00 7.177138e+00 6.8280863
## [94,] 8.0217987 8.3334459 8.1821687 8.369205e+00 7.664128e+00 7.1997468
## [95,] 8.4610754 8.7901375 8.6569324 8.887953e+00 8.133244e+00 7.5579516
## [96,] 8.8810129 9.2261186 9.1123005 9.383413e+00 8.581013e+00 7.9002045
## [97,] 9.2787233 9.6383433 9.5451507 9.852021e+00 9.004247e+00 8.2242083
## [98,] 9.6516028 10.0240710 9.9526611 1.029058e+01 9.400082e+00 8.5278887
## [99,] 9.9973578 10.3808943 10.3323381 1.069627e+01 9.766008e+00 8.8094151
## [100,] 10.3140274 10.7067625 10.6820409 1.106672e+01 1.009989e+01 9.0672174
## [101,] 10.6000000 11.0000000 11.0000000 1.140000e+01 1.040000e+01 9.3000000
## ys ys ys ys ys ys
## [1,] 9.0000000 8.9000000 9.7000000 10.300000000 9.90000000 11.00000000
## [2,] 9.2251943 9.1197038 9.9300928 10.602287338 10.16480958 11.26323174
## [3,] 9.4227830 9.3133914 10.1298091 10.867642243 10.39321840 11.48692259
## [4,] 9.5922925 9.4805768 10.2986945 11.095462659 10.58474240 11.67063495
## [5,] 9.7335585 9.6210588 10.4366331 11.285583648 10.73931400 11.81437793
## [6,] 9.8467189 9.7349155 10.5438393 11.438266456 10.85727152 11.91859582
## [7,] 9.9322024 9.8224930 10.6208446 11.554181534 10.93934289 11.98415034
## [8,] 9.9907126 9.8843923 10.6684811 11.634385812 10.98662395 12.01229717
## [9,] 10.0232095 9.9214514 10.6878595 11.680294646 11.00055177 12.00465712
## [10,] 10.0308861 9.9347255 10.6803450 11.693648920 10.98287329 11.96318239
## [11,] 10.0151434 9.9254632 10.6475288 11.676477863 10.93561011 11.89011861
## [12,] 9.9775624 9.8950819 10.5911969 11.631058207 10.86101965 11.78796308
## [13,] 9.9198733 9.8451395 10.5132976 11.559870366 10.76155364 11.65942014
## [14,] 9.8439243 9.7773065 10.4159062 11.465552355 10.63981436 11.50735415
## [15,] 9.7516485 9.6933353 10.3011888 11.350852207 10.49850959 11.33474105
## [16,] 9.6450305 9.5950305 10.1713661 11.218579662 10.34040674 11.14461914
## [17,] 9.5260732 9.4842183 10.0286761 11.071557900 10.16828711 10.94003990
## [18,] 9.3967647 9.3627167 9.8753388 10.912576116 9.98490089 10.72401968
## [19,] 9.2590467 9.2323064 9.7135208 10.744343671 9.79292363 10.49949294
## [20,] 9.1147841 9.0947033 9.5453022 10.569446566 9.59491490 10.26926786
## [21,] 8.9657369 8.9515329 9.3726459 10.390306927 9.39327981 10.03598491
## [22,] 8.8135344 8.8043067 9.1973690 10.209146129 9.19023387 9.80207915
## [23,] 8.6596526 8.6544015 9.0211180 10.027952151 8.98777184 9.56974672
## [24,] 8.5053941 8.5030410 8.8453473 9.848451650 8.78764111 9.34091609
## [25,] 8.3518726 8.3512814 8.6713010 9.672087196 8.59131978 9.11722452
## [26,] 8.2000000 8.2000000 8.5000000 9.500000000 8.40000000 8.90000000
## [27,] 8.0504781 8.0498869 8.3322322 9.333018390 8.21457667 8.69024899
## [28,] 7.9037946 7.9014415 8.1685478 9.171652188 8.03564171 8.48865010
## [29,] 7.7602223 7.7549712 8.0092589 9.016093052 7.86348396 8.29555378
## [30,] 7.6198229 7.6105953 7.8544436 8.866220738 7.69809454 8.11098792
## [31,] 7.4824553 7.4682513 7.7039541 8.721615157 7.53917785 7.93466935
## [32,] 7.3477862 7.3277054 7.5574296 8.581573982 7.38616759 7.76602090
## [33,] 7.2153061 7.1885658 7.4143126 8.445135497 7.23824788 7.60419376
## [34,] 7.0843471 7.0502991 7.2738690 8.311106276 7.09437885 7.44809470
## [35,] 6.9541046 6.9122497 7.1352114 8.178093207 6.95332634 7.29641770
## [36,] 6.8236613 6.7736613 6.9973257 8.044539299 6.81369523 7.14767943
## [37,] 6.6920133 6.6337001 6.8590993 7.908762662 6.67396565 7.00025792
## [38,] 6.5580982 6.4914803 6.7193518 7.768997983 6.53253173 6.85243383
## [39,] 6.4208239 6.3460901 6.5768670 7.623439777 6.38774187 6.70243347
## [40,] 6.2790988 6.1966183 6.4304254 7.470286696 6.23794020 6.54847303
## [41,] 6.1318619 6.0421816 6.2788370 7.307786093 6.08150814 6.38880305
## [42,] 5.9781120 5.8819514 6.1209743 7.134278122 5.91690574 6.22175250
## [43,] 5.8169374 5.7151794 5.9558034 6.948238574 5.74271169 6.04577169
## [44,] 5.6475428 5.5412224 5.7824150 6.748319729 5.55766164 5.85947322
## [45,] 5.4692752 5.3595659 5.6000516 6.533388511 5.36068397 5.66167024
## [46,] 5.2816476 5.1698442 5.4081341 6.302561268 5.15093242 5.45141151
## [47,] 5.0843593 4.9718597 5.2062840 6.055234578 4.92781503 5.22801243
## [48,] 4.8773137 4.7655979 4.9943433 5.791111505 4.69101889 4.99108164
## [49,] 4.6606325 4.5512408 4.7723897 5.510222855 4.44053019 4.74054262
## [50,] 4.4346660 4.3291755 4.5407485 5.212943005 4.17664920 4.47664998
## [51,] 4.2000000 4.1000000 4.3000000 4.900000000 3.90000000 4.20000000
## [52,] 3.9574580 3.8645256 4.0509824 4.572479706 3.61153453 3.91153531
## [53,] 3.7080999 3.6237749 3.7947905 4.231823873 3.31253109 3.61254352
## [54,] 3.4532157 3.3789762 3.5327691 3.879822096 3.00458706 3.30464981
## [55,] 3.1943162 3.1315545 3.2665029 3.518597728 2.68960604 2.98980345
## [56,] 2.9331185 2.8831185 2.9978015 3.150587926 2.36977947 2.67025856
## [57,] 2.6715286 2.6354442 2.7286801 2.778518073 2.04756300 2.34854926
## [58,] 2.4116202 2.3904557 2.4613365 2.405370955 1.72564802 2.02745959
## [59,] 2.1556095 2.1502022 2.1981248 2.034351098 1.40692862 1.70998863
## [60,] 1.9058284 1.9168331 1.9415253 1.668844813 1.09446458 1.39931134
## [61,] 1.6646939 1.6925708 1.6941120 1.312376519 0.79144087 1.09873577
## [62,] 1.4346765 1.4796808 1.4585183 0.968562000 0.50112429 0.81165712
## [63,] 1.2182659 1.2804415 1.2373996 0.641059297 0.22681792 0.54150952
## [64,] 1.0179366 1.0971125 1.0333965 0.333517983 -0.02818592 0.29171619
## [65,] 0.8361127 0.9319021 0.8490960 0.049527586 -0.26065353 0.06563874
## [66,] 0.6751321 0.7869355 0.6869931 -0.207434044 -0.46745772 -0.13347352
## [67,] 0.5372124 0.6642231 0.5494536 -0.434051633 -0.64562499 -0.30253363
## [68,] 0.4244163 0.5656297 0.4386769 -0.627221860 -0.79238127 -0.43866542
## [69,] 0.3386205 0.4928456 0.3566616 -0.784100438 -0.90519560 -0.53924971
## [70,] 0.2814849 0.4473594 0.3051731 -0.902146174 -0.98182079 -0.60196747
## [71,] 0.2544258 0.4304331 0.2857133 -0.979161309 -1.02033080 -0.62483930
## [72,] 0.2585909 0.4430799 0.2994950 -1.013327505 -1.01915391 -0.60626053
## [73,] 0.2948392 0.4860455 0.3474184 -1.003236906 -0.97710130 -0.54503148
## [74,] 0.3637229 0.5597927 0.4300531 -0.947917765 -0.89339060 -0.44038221
## [75,] 0.4654750 0.6644892 0.5476237 -0.846854240 -0.76766389 -0.29199157
## [76,] 0.6000000 0.8000000 0.7000000 -0.700000000 -0.60000000 -0.10000000
## [77,] 0.7668695 0.9658837 0.8866925 -0.507785434 -0.39092077 0.13498397
## [78,] 0.9653224 1.1613922 1.1068526 -0.271118304 -0.14139120 0.41188378
## [79,] 1.1942695 1.3854758 1.3592775 0.008622193 0.14718659 0.72916146
## [80,] 1.4523024 1.6367914 1.6424204 0.329597886 0.47298542 1.08483070
## [81,] 1.7377073 1.9137147 1.9544051 0.689530461 0.83377117 1.47647627
## [82,] 2.0484828 2.2143573 2.2930456 1.085726410 1.22692653 1.90127949
## [83,] 2.3823611 2.5365862 2.6558698 1.515107736 1.64948015 2.35604947
## [84,] 2.7368340 2.8780473 3.0401467 1.974247980 2.09814077 2.83725956
## [85,] 3.1091810 3.2361917 3.4429183 2.459413060 2.56933578 3.34108857
## [86,] 3.4965013 3.6083047 3.8610335 2.966606319 3.05925379 3.86346619
## [87,] 3.8957478 3.9915373 4.2911855 3.491617131 3.56389040 4.40012187
## [88,] 4.3037627 4.3829386 4.7299509 4.030072355 4.07909672 4.94663651
## [89,] 4.7173153 4.7794909 5.1738302 4.577489885 4.60062968 5.49849619
## [90,] 5.1331401 5.1781443 5.6192898 5.129333511 5.12420375 6.05114717
## [91,] 5.5479755 5.5758523 6.0628038 5.681068289 5.64554284 6.60005134
## [92,] 5.9586024 5.9696072 6.5008960 6.228215611 6.16043214 7.14074124
## [93,] 6.3618815 6.3564742 6.9301809 6.766407170 6.66476870 7.66887405
## [94,] 6.7547900 6.7336255 7.3474026 7.291437038 7.15461033 8.18028355
## [95,] 7.1344558 7.0983713 7.7494731 7.799311097 7.62622191 8.67102937
## [96,] 7.4981898 7.4481898 8.1335067 8.286293114 8.07611857 9.13744287
## [97,] 7.8435154 7.7807537 8.4968520 8.748946799 8.50110501 9.57616894
## [98,] 8.1681945 8.0939550 8.8371202 9.184173250 8.89831057 9.98420311
## [99,] 8.4702505 8.3859255 9.1522099 9.589243260 9.26521929 10.35892349
## [100,] 8.7479863 8.6550539 9.4403268 9.961824039 9.59969490 10.69811706
## [101,] 9.0000000 8.9000000 9.7000000 10.300000000 9.90000000 11.00000000
## ys ys ys ys ys ys
## [1,] 11.30000000 9.9000000 9.90000000 9.30000000 9.30000000 10.50000000
## [2,] 11.57717035 10.1614889 10.14127043 9.53597801 9.56168542 10.77187716
## [3,] 11.81749651 10.3924882 10.34936847 9.74077780 9.79326424 11.00889340
## [4,] 12.02044738 10.5924479 10.52383457 9.91395282 9.99415642 11.21050288
## [5,] 12.18591029 10.7611755 10.66457670 10.05541614 10.16411974 11.37655232
## [6,] 12.31418057 10.8988269 10.77186132 10.16543136 10.30324211 11.50727152
## [7,] 12.40594545 11.0058932 10.84629934 10.24459864 10.41192925 11.60325848
## [8,] 12.46226252 11.0831823 10.88882744 10.29383598 10.49088801 11.66545948
## [9,] 12.48453317 11.1317964 10.90068494 10.31435623 10.54110569 11.69514445
## [10,] 12.47447144 11.1531052 10.88338671 10.30764007 10.56382565 11.69387804
## [11,] 12.43406886 11.1487163 10.83869261 10.27540559 10.56051969 11.66348694
## [12,] 12.36555578 11.1204417 10.76857380 10.21957477 10.53285756 11.60602392
## [13,] 12.27135992 11.0702628 10.67517669 10.14223767 10.48267432 11.52372930
## [14,] 12.15406280 11.0002926 10.56078501 10.04561460 10.41193581 11.41899028
## [15,] 12.01635464 10.9127377 10.42778056 9.93201724 10.32270306 11.29429905
## [16,] 11.86098866 10.8098588 10.27860334 9.80380902 10.21709604 11.15221014
## [17,] 11.69073538 10.6939314 10.11571180 9.66336561 10.09725739 10.99529783
## [18,] 11.50833759 10.5672080 9.94154358 9.51303607 9.96531679 10.82611424
## [19,] 11.31646697 10.4318802 9.75847760 9.35510525 9.82335640 10.64714873
## [20,] 11.11768266 10.2900438 9.56879803 9.19175811 9.67337802 10.46078941
## [21,] 10.91439282 10.1436657 9.37466061 9.02504646 9.51727246 10.26928717
## [22,] 10.70881949 9.9945540 9.17806194 8.85685868 9.35679160 10.07472285
## [23,] 10.50296742 9.8443315 8.98081224 8.68889286 9.19352354 9.87897822
## [24,] 10.29859738 9.6944130 8.78451187 8.52263378 9.02887130 9.68371090
## [25,] 10.09720418 9.5459867 8.59053203 8.35933410 8.86403531 9.49033393
## [26,] 9.90000000 9.4000000 8.40000000 8.20000000 8.70000000 9.30000000
## [27,] 9.70790296 9.2571503 8.21378892 8.04538150 8.53752461 9.11359081
## [28,] 9.52153133 9.1178801 8.03251247 7.89596761 8.37713849 8.93171150
## [29,] 9.34120327 8.9823774 7.85652435 7.75198628 8.21914070 8.75469033
## [30,] 9.16694219 8.8505805 7.68592262 7.61340924 8.06360419 8.58258353
## [31,] 8.99848745 8.7221875 7.52055864 7.47996149 7.91038409 8.41518520
## [32,] 8.83531043 8.5966709 7.36005072 7.35113535 7.75913035 8.25204210
## [33,] 8.67663536 8.4732955 7.20380185 7.22620879 7.60930409 8.09247298
## [34,] 8.52146481 8.3511411 7.05102153 7.10426770 7.46019769 7.93559219
## [35,] 8.36860925 8.2291282 6.90075103 6.98423164 7.31095806 7.78033706
## [36,] 8.21672010 8.1060466 6.75189183 6.86488275 7.16061273 7.62549863
## [37,] 8.06432590 7.9805874 6.60323662 6.74489729 7.00809832 7.46975511
## [38,] 7.90987074 7.8513759 6.45350238 6.62287907 6.85229086 7.31170764
## [39,] 7.75175443 7.7170071 6.30136493 6.49739453 6.69203746 7.14991753
## [40,] 7.58837367 7.5760808 6.14549434 6.36700856 6.52618870 6.98294446
## [41,] 7.41816349 7.4272381 5.98459064 6.23032062 6.35363132 6.80938497
## [42,] 7.23963830 7.2691967 5.81741916 6.08600045 6.17332044 6.62791049
## [43,] 7.05143175 7.1007856 5.64284486 5.93282283 5.98431095 6.43730437
## [44,] 6.85233479 6.9209778 5.45986512 5.76970072 5.78578733 6.23649717
## [45,] 6.64133123 6.7289213 5.26764042 5.59571621 5.57709152 6.02459956
## [46,] 6.41763016 6.5239669 5.06552222 5.41014878 5.35774823 5.80093242
## [47,] 6.18069469 6.3056929 4.85307774 5.21250033 5.12748730 5.56505335
## [48,] 5.93026643 6.0739265 4.63011107 5.00251656 4.88626272 5.31677938
## [49,] 5.66638537 5.8287605 4.39668026 4.78020429 4.63426780 5.05620520
## [50,] 5.38940464 5.5705659 4.15311006 4.54584437 4.37194643 4.78371679
## [51,] 5.10000000 5.3000000 3.90000000 4.30000000 4.10000000 4.50000000
## [52,] 4.79917375 5.0180094 3.63822780 4.04352021 3.81938986 4.20604401
## [53,] 4.48825297 4.7258281 3.36894775 3.77753842 3.53133534 3.90313945
## [54,] 4.16888207 4.4249710 3.09358429 3.50346605 3.23730715 3.59287128
## [55,] 3.84300975 4.1172219 2.81382066 3.22298123 2.93901629 3.27710639
## [56,] 3.51287042 3.8046173 2.53158287 2.93801282 2.63839868 2.95797607
## [57,] 3.18096044 3.4894253 2.24901909 2.65071979 2.33759546 2.63785368
## [58,] 2.85000945 3.1741201 1.96847493 2.36346639 2.03892957 2.31932769
## [59,] 2.52294722 2.8613533 1.69246473 2.07879344 1.74487862 2.00517057
## [60,] 2.20286643 2.5539210 1.42363944 1.79938609 1.45804465 1.69830397
## [61,] 1.89298212 2.2547279 1.16475158 1.52803860 1.18112110 1.40176065
## [62,] 1.59658817 1.9667497 0.91861762 1.26761664 0.91685759 1.11864376
## [63,] 1.31701164 1.6929926 0.68807866 1.02101768 0.66802293 0.85208416
## [64,] 1.05756564 1.4364520 0.47595963 0.79113005 0.43736694 0.60519627
## [65,] 0.82150142 1.2000708 0.28502803 0.58079135 0.22758178 0.38103327
## [66,] 0.61196035 0.9866971 0.11795247 0.39274680 0.04126318 0.18254228
## [67,] 0.43192675 0.7990424 -0.02273796 0.22960823 -0.11912769 0.01252015
## [68,] 0.28418202 0.6396423 -0.13469324 0.09381426 -0.25130110 -0.12642926
## [69,] 0.17126106 0.5108174 -0.21577998 -0.01240763 -0.35317398 -0.23193590
## [70,] 0.09541146 0.4146378 -0.26411647 -0.08707654 -0.42290273 -0.30190157
## [71,] 0.05855620 0.3528901 -0.27810479 -0.12849064 -0.45891325 -0.33453475
## [72,] 0.06226047 0.3270487 -0.25645931 -0.13525605 -0.45992763 -0.32838155
## [73,] 0.10770312 0.3382496 -0.19823110 -0.10631172 -0.42498710 -0.28235238
## [74,] 0.19565314 0.3872708 -0.10282809 -0.04095000 -0.35347089 -0.19574375
## [75,] 0.32645171 0.4745151 0.02996974 0.06116768 -0.24511060 -0.06825509
## [76,] 0.50000000 0.6000000 0.20000000 0.20000000 -0.10000000 0.10000000
## [77,] 0.71575293 0.7633515 0.40671286 0.37512027 0.08140010 0.30848803
## [78,] 0.97271919 0.9638036 0.64917132 0.58571617 0.29826193 0.55625565
## [79,] 1.26946727 1.2002037 0.92605678 0.83059485 0.54939573 0.84193551
## [80,] 1.60413777 1.4710221 1.23568002 1.10819339 0.83325978 1.16375777
## [81,] 1.97446156 1.7743683 1.57599717 1.41659433 1.14797512 1.51956722
## [82,] 2.37778369 2.1080107 1.94463085 1.75354622 1.49134495 1.90684574
## [83,] 2.81109267 2.4694022 2.33889577 2.11648883 1.86087834 2.32273985
## [84,] 3.27105480 2.8557092 2.75582880 2.50258263 2.25381801 2.76409278
## [85,] 3.75405288 3.2638457 3.19222281 2.90874221 2.66717164 3.22748092
## [86,] 4.25622892 3.6905092 3.64466399 3.33167306 3.09774649 3.70925379
## [87,] 4.77353016 4.1322212 4.10957196 3.76791129 3.54218653 4.20557721
## [88,] 5.30175770 4.5853687 4.58324227 4.21386558 3.99701189 4.71247890
## [89,] 5.83661713 5.0462483 5.06189042 4.66586082 4.45865979 5.22589592
## [90,] 6.37377027 5.5111106 5.54169708 5.12018286 4.92352645 5.74172322
## [91,] 6.90888749 5.9762061 6.01885354 5.57312357 5.38800947 6.25586261
## [92,] 7.43769957 6.4378294 6.48960700 6.02102571 5.84854986 6.76427153
## [93,] 7.95604863 6.8923640 6.95030481 6.46032684 6.30167336 7.26301065
## [94,] 8.45993718 7.3363245 7.39743725 6.88760165 6.74403024 7.74829000
## [95,] 8.94557465 7.7663971 7.82767801 7.29960222 7.17243318 8.21651259
## [96,] 9.40942082 8.1794773 8.23792196 7.69329541 7.58389256 8.66431517
## [97,] 9.84822535 8.5727045 8.62531963 8.06589704 7.97564873 9.08860535
## [98,] 10.25906303 8.9434923 8.98730779 8.41490230 8.34520085 9.48659479
## [99,] 10.63936412 9.2895557 9.32163596 8.73811193 8.69033179 9.85582766
## [100,] 10.98693947 9.6089323 9.62638817 9.03365385 9.00912885 10.19420438
## [101,] 11.30000000 9.9000000 9.90000000 9.30000000 9.30000000 10.50000000
## ys ys ys ys ys ys
## [1,] 9.6000000 8.3000000 9.60000000 9.90000000 9.90000000 10.4000000
## [2,] 9.8365692 8.4947849 9.84814146 10.14833801 10.14774681 10.6540259
## [3,] 10.0431310 8.6640466 10.06426738 10.36504348 10.36269032 10.8752236
## [4,] 10.2192039 8.8073955 10.24788653 10.54959506 10.54434398 11.0630821
## [5,] 10.3646438 8.9247246 10.39887075 10.70181503 10.69258738 11.2174564
## [6,] 10.4796353 9.0162031 10.51744606 10.82186132 10.80765737 11.3385591
## [7,] 10.5646794 9.0822656 10.60417885 10.91021493 10.89013415 11.4269466
## [8,] 10.6205763 9.1235979 10.65995725 10.96766297 10.94092266 11.4835006
## [9,] 10.6484042 9.1411193 10.68596830 10.99527763 10.96122964 11.5094050
## [10,] 10.6494949 9.1359619 10.68367102 10.99439147 10.95253660 11.5061193
## [11,] 10.6254056 9.1094474 10.65476604 10.96656944 10.91656944 11.4753480
## [12,] 10.5778880 9.0630609 10.60116222 10.91357806 10.85526487 11.4190073
## [13,] 10.5088555 8.9984238 10.52494081 10.83735235 10.77073454 11.3391893
## [14,] 10.4203484 8.9172643 10.42831775 10.73996093 10.66522717 11.2381240
## [15,] 10.3144978 8.8213876 10.31360468 10.62357001 10.54108948 11.1181408
## [16,] 10.1934892 8.7126452 10.18316946 10.49040674 10.40072652 10.9816282
## [17,] 10.0595262 8.5929045 10.03939655 10.34272252 10.24656191 10.8309947
## [18,] 9.9147941 8.4640187 9.88464814 10.18275692 10.08099888 10.6686295
## [19,] 9.7614256 8.3277977 9.72122652 10.01270271 9.90638238 10.4968651
## [20,] 9.6014674 8.1859802 9.55133832 9.83467255 9.72496323 10.3179409
## [21,] 9.4368499 8.0402086 9.37706116 9.65066796 9.53886456 10.1339702
## [22,] 9.2693583 7.8920045 9.20031329 9.46255092 9.35005127 9.9469096
## [23,] 9.1006086 7.7427485 9.02282657 9.27201861 9.16030283 9.7585316
## [24,] 8.9320254 7.5936618 8.84612337 9.08058165 8.97119001 9.5704015
## [25,] 8.7648246 7.4457917 8.67149755 8.88954618 8.78405565 9.3838583
## [26,] 8.6000000 7.3000000 8.50000000 8.70000000 8.60000000 9.2000000
## [27,] 8.4383139 7.1569553 8.33242874 8.51280306 8.41987064 9.0196733
## [28,] 8.2802926 7.0171289 8.16932391 8.32858225 8.24425726 8.8434687
## [29,] 8.1262258 6.8807944 8.01096747 8.14773073 8.07349121 8.6717199
## [30,] 7.9761709 6.7480310 7.85738790 7.97041160 7.90764992 8.5045082
## [31,] 7.8299615 6.6187304 7.70836939 7.79656599 7.74656599 8.3416716
## [32,] 7.6872198 6.4926073 7.56346573 7.62592523 7.58984082 8.1828185
## [33,] 7.5473733 6.3692129 7.42201835 7.45802696 7.43686249 8.0273452
## [34,] 7.4096750 6.2479518 7.28317830 7.29223488 7.28682757 7.8744582
## [35,] 7.2732269 6.1281012 7.14593186 7.12776175 7.13876650 7.7231993
## [36,] 7.1370059 6.0088330 7.00912910 6.96369523 6.99157205 7.5724738
## [37,] 6.9998930 5.8892372 6.87151514 6.79902607 6.84403034 7.4210817
## [38,] 6.8607034 5.7683476 6.73176337 6.63267829 6.69485395 7.2677508
## [39,] 6.7182186 5.6451681 6.58851023 6.46354059 6.54271650 7.1111712
## [40,] 6.5712191 5.5187000 6.44039071 6.29049861 6.38628806 6.9500305
## [41,] 6.4185172 5.3879692 6.28607427 6.11246747 6.22427087 6.7830494
## [42,] 6.2589897 5.2520535 6.12430022 5.92842391 6.05543463 6.6090173
## [43,] 6.0916095 5.1101086 5.95391223 5.73743755 5.87865089 6.4268263
## [44,] 5.9154756 4.9613934 5.77389117 5.53870065 5.69292576 6.2355037
## [45,] 5.7298417 4.8052937 5.58338583 5.33155602 5.49743053 6.0342430
## [46,] 5.5341414 4.6413431 5.38174088 5.11552222 5.29152957 5.8224313
## [47,] 5.3280113 4.4692420 5.16852168 4.89031606 5.07480504 5.5996740
## [48,] 5.1113102 4.2888741 4.94353538 4.65587155 4.84707793 5.3658161
## [49,] 4.8841345 4.1003190 4.70684800 4.41235527 4.60842506 5.1209584
## [50,] 4.6468302 3.9038619 4.45879713 4.16017764 4.35919178 4.8654708
## [51,] 4.4000000 3.7000000 4.20000000 3.90000000 4.10000000 4.6000000
## [52,] 4.1445061 3.4894445 3.93135676 3.63273727 3.83175142 4.3254724
## [53,] 3.8814686 3.2731197 3.65404883 3.35955611 3.55562589 4.0430926
## [54,] 3.6122597 3.0521575 3.36953233 3.08186851 3.27307488 3.7543368
## [55,] 3.3384922 2.8278888 3.07952662 2.80132101 2.98580999 3.4609410
## [56,] 3.0620055 2.6018309 2.78599812 2.51977947 2.69578682 3.1648851
## [57,] 2.7848453 2.3756717 2.49113958 2.23930977 2.40518429 2.8683718
## [58,] 2.5092413 2.1512501 2.19734512 1.96215461 2.11637971 2.5738018
## [59,] 2.2375801 1.9305343 1.90718137 1.69070668 1.83192003 2.2837447
## [60,] 1.9723754 1.7155966 1.62335514 1.42747883 1.55448956 2.0009069
## [61,] 1.7162352 1.5085866 1.34867815 1.17507135 1.28687475 1.7280962
## [62,] 1.4718272 1.3117017 1.08602920 0.93613709 1.03192655 1.4681841
## [63,] 1.2418418 1.1271572 0.83831454 0.71334490 0.79252081 1.2240661
## [64,] 1.0289544 0.9571547 0.60842690 0.50934182 0.57151748 0.9986206
## [65,] 0.8357871 0.8038498 0.39920390 0.32671483 0.37171910 0.7946678
## [66,] 0.6648700 0.6693208 0.21338635 0.16795247 0.19582930 0.6149276
## [67,] 0.5186035 0.5555369 0.05357729 0.03540718 0.04641193 0.4619791
## [68,] 0.3992216 0.4643277 -0.07779781 -0.06874123 -0.07414854 0.3382208
## [69,] 0.3087568 0.3973544 -0.17852889 -0.14252028 -0.16368475 0.2458325
## [70,] 0.2490079 0.3560825 -0.24665675 -0.18419725 -0.22028166 0.1867407
## [71,] 0.2215094 0.3417574 -0.28050535 -0.19230874 -0.24230874 0.1625856
## [72,] 0.2275056 0.3553821 -0.27871066 -0.16568695 -0.22844863 0.1746931
## [73,] 0.2679278 0.3976986 -0.24024543 -0.10348218 -0.17772170 0.2240496
## [74,] 0.3433750 0.4691719 -0.16443959 -0.00518124 -0.08950623 0.3112823
## [75,] 0.4541001 0.5699789 -0.05099577 0.12937854 0.03644612 0.4366434
## [76,] 0.6000000 0.7000000 0.10000000 0.30000000 0.20000000 0.6000000
## [77,] 0.7806108 0.8588153 0.28807303 0.50612166 0.40063114 0.8008285
## [78,] 0.9951078 1.0457048 0.51235988 0.74681816 0.63742652 1.0382151
## [79,] 1.2423106 1.2596526 0.77161366 1.02080571 0.90908993 1.3108612
## [80,] 1.5206930 1.4993556 1.06421473 1.32645237 1.21395271 1.6170944
## [81,] 1.8283977 1.7632356 1.38818642 1.66179322 1.54998982 1.9548842
## [82,] 2.1632555 2.0494554 1.74121584 2.02455006 1.91484075 2.3218631
## [83,] 2.5228092 2.3559391 2.12067928 2.41215547 2.30583514 2.7153524
## [84,] 2.9043407 2.6803946 2.52367203 2.82178081 2.72002277 3.1323921
## [85,] 3.3049028 3.0203402 2.94704198 3.25036795 3.15420734 3.5697745
## [86,] 3.7213533 3.3731330 3.38742671 3.69466399 3.60498376 4.0240821
## [87,] 4.1503918 3.7360002 3.84129344 4.15125877 4.06877824 4.4917269
## [88,] 4.5885993 4.1060714 4.30498128 4.61662446 4.54189070 4.9689938
## [89,] 5.0324786 4.4804129 4.77474512 5.08715666 5.02053885 5.4520841
## [90,] 5.4784960 4.8560626 5.24680071 5.55921655 5.50090336 5.9371610
## [91,] 5.9231236 5.2300647 5.71736992 6.02917332 5.97917332 6.4203948
## [92,] 6.3628806 5.5995051 6.18272594 6.49344639 6.45159152 6.8980088
## [93,] 6.7943748 5.9615450 6.63923744 6.94854676 6.91449877 7.3663234
## [94,] 7.2143420 6.3134545 7.08341120 7.39111692 7.36437661 7.8217987
## [95,] 7.6196830 6.6526435 7.51193261 7.81796869 7.79788790 8.2610754
## [96,] 8.0074994 6.9766909 7.92170331 8.22611857 8.21191461 8.6810129
## [97,] 8.3751247 7.2833713 8.30987569 8.61281997 8.60359233 9.0787233
## [98,] 8.7201534 7.5706788 8.67388349 8.97559201 8.97034094 9.4516028
## [99,] 9.0404651 7.8368473 9.01146822 9.31224432 9.30989116 9.7973578
## [100,] 9.3342451 8.0803675 9.32070110 9.62089764 9.62030644 10.1140274
## [101,] 9.6000000 8.3000000 9.60000000 9.90000000 9.90000000 10.4000000
## ys ys ys ys ys ys
## [1,] 8.7000000 9.80000000 12.10000000 10.4000000 12.20000000 11.00000000
## [2,] 8.8747646 10.04166508 12.45051807 10.6999217 12.54798512 11.33171088
## [3,] 9.0217279 10.25094553 12.74743582 10.9582172 12.84983482 11.62244843
## [4,] 9.1406162 10.42737712 12.99027703 11.1743956 13.10494213 11.87156606
## [5,] 9.2314649 10.57086007 13.17923045 11.3484757 13.31326385 12.07890656
## [6,] 9.2946110 10.68165002 13.31513096 11.4809716 13.47530550 12.24478966
## [7,] 9.3306804 10.76034404 13.39943129 11.5728721 13.59209844 12.36999283
## [8,] 9.3405719 10.80786203 13.43416500 11.6256130 13.66516936 12.45572567
## [9,] 9.3254372 10.82542360 13.42190108 11.6410427 13.69650299 12.50359818
## [10,] 9.2866574 10.81452113 13.36569115 11.6213827 13.68849838 12.51558376
## [11,] 9.2258169 10.77688921 13.26901008 11.5691830 13.64391966 12.49397729
## [12,] 9.1446745 10.71447115 13.13569093 11.4872726 13.56584203 12.44134911
## [13,] 9.0451325 10.62938297 12.96985540 11.3787075 13.45759390 12.36049575
## [14,] 8.9292041 10.52387559 12.77584092 11.2467152 13.32269613 12.25438799
## [15,] 8.7989803 10.40029576 12.55812534 11.0946378 13.16479934 12.12611736
## [16,] 8.6565954 10.26104629 12.32125081 10.9258746 12.98762034 11.97884181
## [17,] 8.5041935 10.10854644 12.06974775 10.7438241 12.79487863 11.81573136
## [18,] 8.3438948 9.94519284 11.80806022 10.5518281 12.59023417 11.63991483
## [19,] 8.1777630 9.77332174 11.54047400 10.3531165 12.37722711 11.45442826
## [20,] 8.0077753 9.59517312 11.27104837 10.1507560 12.15922081 11.26216599
## [21,] 7.8357933 9.41285721 11.00355269 9.9476018 11.93934874 11.06583519
## [22,] 7.6635369 9.22832396 10.74140889 9.7462541 11.72046628 10.86791435
## [23,] 7.4925609 9.04333598 10.48764063 9.5490192 11.50510810 10.67061674
## [24,] 7.3242357 8.85944522 10.24482998 9.3578767 11.29545180 10.47585901
## [25,] 7.1597303 8.67797393 10.01508233 9.1744528 11.09328838 10.28523572
## [26,] 7.0000000 8.50000000 9.80000000 9.0000000 10.90000000 10.10000000
## [27,] 6.8457777 8.32634702 9.60066490 8.8353840 10.71654527 9.92105071
## [28,] 6.6975695 8.15757911 9.41763063 8.6810772 10.54345240 9.74892626
## [29,] 6.5556543 7.99400062 9.25092395 8.5371601 10.38082022 9.58380512
## [30,] 6.4200874 7.83566059 9.10005564 8.4033287 10.22832696 9.42551301
## [31,] 6.2907084 7.68236204 8.96404053 8.2789101 10.08524677 9.27353662
## [32,] 6.1671526 7.53367563 8.84142632 8.1628834 9.95047349 9.12704359
## [33,] 6.0488665 7.38895771 8.73033068 8.0539083 9.82255136 8.98490837
## [34,] 5.9351264 7.24737227 8.62848597 7.9503582 9.69971212 8.84574352
## [35,] 5.8250596 7.10791639 8.53329090 7.8503594 9.57991786 8.70793595
## [36,] 5.7176692 6.96944888 8.44186815 7.7518342 9.46090882 8.56968735
## [37,] 5.6118603 6.83072142 8.35112700 7.6525483 9.34025540 8.42905822
## [38,] 5.5064685 6.69041180 8.25783002 7.5501608 9.21541349 8.28401477
## [39,] 5.4002893 6.54715865 8.15866246 7.4422769 9.08378213 8.13247771
## [40,] 5.2921083 6.39959699 8.05030352 7.3265011 8.94276257 7.97237230
## [41,] 5.1807320 6.24639404 7.92949792 7.2004912 8.78981769 7.80167872
## [42,] 5.0650178 6.08628475 7.79312684 7.0620119 8.62253083 7.61848179
## [43,] 4.9439038 5.91810619 7.63827699 6.9089866 8.43866291 7.42101943
## [44,] 4.8164366 5.74083054 7.46230645 6.7395469 8.23620704 7.20772876
## [45,] 4.6817979 5.55359572 7.26290648 6.5520791 8.01343952 6.97728922
## [46,] 4.5393284 5.35573352 7.03815795 6.3452664 7.76896641 6.72866186
## [47,] 4.3885491 5.14679437 6.78658159 6.1181266 7.50176488 6.46112422
## [48,] 4.2291800 4.92656852 6.50718117 5.8700445 7.21121862 6.17430001
## [49,] 4.0611544 4.69510320 6.19947879 5.6007978 6.89714661 5.86818316
## [50,] 3.8846309 4.45271540 5.86354167 5.3105774 6.55982475 5.54315586
## [51,] 3.7000000 4.20000000 5.50000000 5.0000000 6.20000000 5.20000000
## [52,] 3.5078878 3.93783314 5.11005543 4.6701141 5.81889662 4.83990204
## [53,] 3.3091550 3.66737069 4.69547999 4.3223988 5.41821446 4.46445095
## [54,] 3.1048921 3.39004174 4.25860540 3.9587550 5.00011911 4.07562929
## [55,] 2.8964098 3.10753730 3.80230295 3.5814897 4.56722421 3.67579749
## [56,] 2.6852264 2.82179417 3.32995402 3.1932930 4.12256587 3.26767152
## [57,] 2.4730506 2.53497439 2.84541185 2.7972087 3.66956980 2.85429423
## [58,] 2.2617609 2.24944034 2.35295495 2.3965982 3.21201140 2.43900070
## [59,] 2.0533818 1.96772607 1.85723290 1.9950991 2.75396955 2.02537828
## [60,] 1.8500570 1.69250503 1.36320530 1.5965786 2.29977465 1.61722169
## [61,] 1.6540205 1.42655497 0.87607489 1.2050816 1.85395172 1.21848389
## [62,] 1.4675644 1.17272027 0.40121565 0.8247764 1.42115949 0.83322362
## [63,] 1.2930067 0.93387238 -0.05590281 0.4598965 1.00612628 0.46555012
## [64,] 1.1326568 0.71286906 -0.48979351 0.1146808 0.61358369 0.11956614
## [65,] 0.9887809 0.51251282 -0.89503191 -0.2066868 0.24819914 -0.20069010
## [66,] 0.8635672 0.33550952 -1.26633578 -0.5001391 -0.08549171 -0.49130299
## [67,] 0.7590920 0.18442740 -1.59864421 -0.7617854 -0.38315166 -0.74853681
## [68,] 0.6772863 0.06165749 -1.88719419 -0.9879699 -0.64070670 -0.96889129
## [69,] 0.6199042 -0.03062412 -2.12759395 -1.1753276 -0.85440786 -1.14915462
## [70,] 0.5884937 -0.09049156 -2.31589151 -1.3208368 -1.02088904 -1.28645305
## [71,] 0.5843693 -0.11630139 -2.44863767 -1.4218664 -1.13722012 -1.37829636
## [72,] 0.6085885 -0.10672133 -2.52294229 -1.4762195 -1.20095434 -1.42261840
## [73,] 0.6619308 -0.06075484 -2.53652306 -1.4821699 -1.21016934 -1.41781209
## [74,] 0.7448813 0.02223856 -2.48774578 -1.4384927 -1.16350108 -1.36275839
## [75,] 0.8576173 0.14252785 -2.37565584 -1.3444887 -1.06017013 -1.25684865
## [76,] 1.0000000 0.30000000 -2.20000000 -1.2000000 -0.90000000 -1.10000000
## [77,] 1.1715699 0.49415476 -1.96123841 -1.0054198 -0.68342701 -0.89266363
## [78,] 1.3715475 0.72410467 -1.66054644 -0.7616933 -0.41150168 -0.63582564
## [79,] 1.5988374 0.98858052 -1.29980638 -0.4703108 -0.08588146 -0.33100047
## [80,] 1.8520379 1.28594204 -0.88158904 -0.1332941 0.29118498 0.01978295
## [81,] 2.1294542 1.61419377 -0.40912550 0.2468254 0.71688185 0.41400220
## [82,] 2.4291164 1.97100594 0.11373054 0.6670358 1.18785827 0.84866935
## [83,] 2.7488007 2.35373991 0.68254937 1.1238805 1.70026789 1.32036527
## [84,] 3.0860547 2.75947807 1.29238006 1.6134999 2.24981534 1.82528002
## [85,] 3.4382260 3.18505745 1.93781264 2.1316793 2.83180911 2.35925860
## [86,] 3.8024935 3.62710694 2.61304688 2.6739012 3.44121980 2.91785147
## [87,] 4.1759008 4.08208717 3.31196642 3.2354027 4.07274308 3.49636904
## [88,] 4.5553923 4.54633285 4.02821739 3.8112352 4.72086632 4.08993936
## [89,] 4.9378498 5.01609670 4.75529013 4.3963270 5.37993805 4.69356816
## [90,] 5.3201306 5.48759443 5.48660305 4.9855479 6.04423895 5.30220043
## [91,] 5.6991054 5.95705014 6.21558705 5.5737734 6.70805368 5.91078246
## [92,] 6.0716966 6.42074141 6.93576961 6.1559494 7.36574220 6.51432366
## [93,] 6.4349152 6.87504347 7.64085699 6.7271552 8.01180963 7.10795703
## [94,] 6.7858961 7.31647184 8.32481350 7.2826642 8.64097372 7.68699760
## [95,] 7.1219330 7.74172271 8.98193666 7.8180017 9.24822871 8.24699784
## [96,] 7.4405090 8.14771066 9.60692702 8.3289982 9.82890497 8.78379932
## [97,] 7.7393256 8.53160300 10.19495181 8.8118388 10.37872318 9.29357982
## [98,] 8.0163283 8.89085034 10.74170125 9.2631062 10.89384262 9.77289534
## [99,] 8.2697285 9.22321302 11.24343702 9.6798182 11.37090266 10.21871622
## [100,] 8.4980214 9.52678282 11.69703184 10.0594584 11.80705699 10.62845707
## [101,] 8.7000000 9.80000000 12.10000000 10.4000000 12.20000000 11.00000000
## ys ys ys ys ys ys
## [1,] 11.7000000 12.7000000 9.10000000 12.00000000 11.00000000 13.300000000
## [2,] 12.0409175 13.0919385 9.36421915 12.37566425 11.34505830 13.656205145
## [3,] 12.3341598 13.4375681 9.59087768 12.71018170 11.65066920 13.957603552
## [4,] 12.5791816 13.7361090 9.77955407 13.00273298 11.91612743 14.203701336
## [5,] 12.7760255 13.9873468 9.93028375 13.25298948 12.14121127 14.394674392
## [6,] 12.9253055 14.1916174 10.04354666 13.46110155 12.32617045 14.531349610
## [7,] 13.0281828 14.3497856 10.12024837 13.62768002 12.47170715 14.615176689
## [8,] 13.0863338 14.4632149 10.16169523 13.75377117 12.57895070 14.648191042
## [9,] 13.1019103 14.5337306 10.16956379 13.84082575 12.64942624 14.632968448
## [10,] 13.0774936 14.5635771 10.14586519 13.89066252 12.68501795 14.572572210
## [11,] 13.0160428 14.5553693 10.09290501 13.90542696 12.68792754 14.470493705
## [12,] 12.9208378 14.5120388 10.01323930 13.88754591 12.66062861 14.330587298
## [13,] 12.7954182 14.4367769 9.90962743 13.83967872 12.60581772 14.157000704
## [14,] 12.6435202 14.3329742 9.78498271 13.76466602 12.52636287 13.954101910
## [15,] 12.4690099 14.2041586 9.64232133 13.66547663 12.42525042 13.726403858
## [16,] 12.2758169 14.0539322 9.48471071 13.54515371 12.30553111 13.478488088
## [17,] 12.0678679 13.8859082 9.31521786 13.40676091 12.17026623 13.214928579
## [18,] 11.8490208 13.7036488 9.13685869 13.25332951 12.02247470 12.940216988
## [19,] 11.6230020 13.5106060 8.95254918 13.08780719 11.86508195 12.658690495
## [20,] 11.3933463 13.3100643 8.76505890 12.91300953 11.70087147 12.374463385
## [21,] 11.1633414 13.1050883 8.57696792 12.73157475 11.53243969 12.091363443
## [22,] 10.9359773 12.8984745 8.39062759 12.54592256 11.36215503 11.812874177
## [23,] 10.7139017 12.6927092 8.20812589 12.35821782 11.19212167 11.542083747
## [24,] 10.4993820 12.4899321 8.03125787 12.17033931 11.02414866 11.281641416
## [25,] 10.2942742 12.2919071 7.86150158 11.98385443 10.85972486 11.033722160
## [26,] 10.1000000 12.1000000 7.70000000 11.80000000 10.70000000 10.800000000
## [27,] 9.9175311 11.9151640 7.54754899 11.61966942 10.54577226 10.581630420
## [28,] 9.7473826 11.7379327 7.40459170 11.44340655 10.39748249 10.379242134
## [29,] 9.5896138 11.5684213 7.27121932 11.27140619 10.25521509 10.192938282
## [30,] 9.4438380 11.4063352 7.14717815 11.10352122 10.11870559 10.022306989
## [31,] 9.3092394 11.2509863 7.03188295 10.93927618 9.98735472 9.866441084
## [32,] 9.1845990 11.1013170 6.92443614 10.77788713 9.86024871 9.723966606
## [33,] 9.0683263 10.9559303 6.82365272 10.61828730 9.73618549 9.593079596
## [34,] 8.9584988 10.8131268 6.72809032 10.45915820 9.61370633 9.471590534
## [35,] 8.8529071 10.6709474 6.63608388 10.29896550 9.49113226 9.356975655
## [36,] 8.7491054 10.5272207 6.54578445 10.13599924 9.36660485 9.246434271
## [37,] 8.6444659 10.3796147 6.45520138 9.96841749 9.23813047 9.136951131
## [38,] 8.5362376 10.2256915 6.36224718 9.79429281 9.10362734 9.025362747
## [39,] 8.4216065 10.0629651 6.26478429 9.61166068 8.96097458 8.908426586
## [40,] 8.2977583 9.8889594 6.16067308 9.41856910 8.80806240 8.782891950
## [41,] 8.1619409 9.7012674 6.04782004 9.21312840 8.64284257 8.645571345
## [42,] 8.0115261 9.4976096 5.92422556 8.99356055 8.46337832 8.493411146
## [43,] 7.8440702 9.2758905 5.78803038 8.75824701 8.26789284 8.323560351
## [44,] 7.6573715 9.0342525 5.63755996 8.50577427 8.05481544 8.133436264
## [45,] 7.4495239 8.7711267 5.47136594 8.23497640 7.82282472 7.920785991
## [46,] 7.2189664 8.4852783 5.28826407 7.94497376 7.57088787 7.683742693
## [47,] 6.9645266 8.1758478 5.08736795 7.63520715 7.29829547 7.420875632
## [48,] 6.6854581 7.8423855 4.86811781 7.30546693 7.00469117 7.131233131
## [49,] 6.3814716 7.4848799 4.63030417 6.95591643 6.69009569 6.814377703
## [50,] 6.0527572 7.1037781 4.37408551 6.58710922 6.35492465 6.470412700
## [51,] 5.7000000 6.7000000 4.10000000 6.20000000 6.00000000 6.100000000
## [52,] 5.3243871 6.2749433 3.80897083 5.79594868 5.62655463 5.704368362
## [53,] 4.9276061 5.8304812 3.50230507 5.37671768 5.23623018 5.285312253
## [54,] 4.5118349 5.3689522 3.18168598 4.94446237 4.83106792 4.845181093
## [55,] 4.0797239 4.8931413 2.84915896 4.50171457 4.41349278 4.386859008
## [56,] 3.6343693 4.4062540 2.50711113 4.05135963 3.98629073 3.913735362
## [57,] 3.1792791 3.9118826 2.15824496 3.59660704 3.55257991 3.429666448
## [58,] 2.7183317 3.4139659 1.80554634 3.14095519 3.11577566 2.938928907
## [59,] 2.2557276 2.9167420 1.45224732 2.68815071 2.67955022 2.446165527
## [60,] 1.7959353 2.4246959 1.10178440 2.24214293 2.24778750 1.956324248
## [61,] 1.3436319 1.9425020 0.75775277 1.80703422 1.82453364 1.474591267
## [62,] 0.9036400 1.4749627 0.42385717 1.38702683 1.41394412 1.006319275
## [63,] 0.4808600 1.0269433 0.10386034 0.98636715 1.02022815 0.556951894
## [64,] 0.0802015 0.6033057 -0.19847047 0.60928810 0.64759126 0.131945493
## [65,] -0.2934877 0.2088399 -0.47941780 0.25995063 0.30017685 -0.263310430
## [66,] -0.6354917 -0.1518036 -0.73536850 -0.05761489 -0.01799229 -0.623573060
## [67,] -0.9412968 -0.4741812 -0.96286745 -0.33956636 -0.30307168 -0.943825036
## [68,] -1.2066587 -0.7541214 -1.15866980 -0.58230597 -0.55145116 -1.219350962
## [69,] -1.4276676 -0.9877868 -1.31979075 -0.78253356 -0.75980831 -1.445810444
## [70,] -1.6008083 -1.1717326 -1.44355223 -0.93729659 -0.92515853 -1.619306522
## [71,] -1.7230162 -1.3029597 -1.52762570 -1.04403593 -1.04490087 -1.736448415
## [72,] -1.7917267 -1.3789626 -1.57007030 -1.10062661 -1.11685908 -1.794407577
## [73,] -1.8049183 -1.3977704 -1.56936594 -1.10541317 -1.13931702 -1.790966177
## [74,] -1.7611479 -1.3579814 -1.52444061 -1.05723869 -1.11104804 -1.724557222
## [75,] -1.6595789 -1.2587888 -1.43469157 -0.95546736 -1.03133779 -1.594295667
## [76,] -1.5000000 -1.1000000 -1.30000000 -0.80000000 -0.90000000 -1.400000000
## [77,] -1.2828358 -0.8820457 -1.12073897 -0.59128234 -0.71738519 -1.142203926
## [78,] -1.0091485 -0.6059820 -0.89777445 -0.33030593 -0.48438187 -0.822157940
## [79,] -0.6806304 -0.2734825 -0.63245937 -0.01860154 -0.20241044 -0.441820712
## [80,] -0.2995874 0.1131768 -0.32662086 0.34177473 0.12659036 -0.003840389
## [81,] 0.1310858 0.5511423 0.01745927 0.74826264 0.50018410 0.488473944
## [82,] 0.6079391 1.0370147 0.39707053 1.19782581 0.91546423 1.031190257
## [83,] 1.1270082 1.5668889 0.80910571 1.68698633 1.36908814 1.619800455
## [84,] 1.6838633 2.1364007 1.25009857 2.21186534 1.85731721 2.249275491
## [85,] 2.2736640 2.7407796 1.71626653 2.76822905 2.37606229 2.914127887
## [86,] 2.8912198 3.3749079 2.20355777 3.35153958 2.92093397 3.608480757
## [87,] 3.5310563 4.0333838 2.70770215 3.95700977 3.48729680 4.326142296
## [88,] 4.1874841 4.7105883 3.22426506 4.57966132 4.07032679 5.060684655
## [89,] 4.8546718 5.4007551 3.74870348 5.21438519 4.66507129 5.805526011
## [90,] 5.5267195 6.0980422 4.27642339 5.85600363 5.26651033 6.554014623
## [91,] 6.1977339 6.7966040 4.80283774 6.49933278 5.86961861 7.299513627
## [92,] 6.8619028 7.4906634 5.32342403 7.13924490 6.46942713 8.035485311
## [93,] 7.5135677 8.1745821 5.83378072 7.77072946 7.06108362 8.755573624
## [94,] 8.1472940 8.8429282 6.32968160 8.38895210 7.63991092 9.453683685
## [95,] 8.7579380 9.4905415 6.80712739 8.98931066 8.20146234 10.124057146
## [96,] 9.3407084 10.1125931 7.26239371 9.56748742 8.74157331 10.761342279
## [97,] 9.8912228 10.7046403 7.69207477 10.11949690 9.25640858 11.360657768
## [98,] 10.4055584 11.2626757 8.09312224 10.64172842 9.74250418 11.917649298
## [99,] 10.8802943 11.7831694 8.46287858 11.13098295 10.19680369 12.428538103
## [100,] 11.3125475 12.2631036 8.79910448 11.58450370 10.61668827 12.890160806
## [101,] 11.7000000 12.7000000 9.10000000 12.00000000 11.00000000 13.300000000
## ys ys ys ys ys ys
## [1,] 11.70000000 11.00000000 11.900000000 10.20000000 11.00000000 11.90000000
## [2,] 11.99814658 11.31247985 12.222868915 10.49324882 11.29578177 12.20833910
## [3,] 12.25113286 11.58328384 12.499701527 10.74411924 11.54172024 12.46677445
## [4,] 12.45851688 11.81187187 12.729989603 10.95217767 11.73751257 12.67492609
## [5,] 12.62039790 11.99821363 12.913787891 11.11752070 11.88348731 12.83302788
## [6,] 12.73740151 12.14277495 13.051698706 11.24076025 11.98058570 12.94191001
## [7,] 12.81065723 12.24649703 13.144848615 11.32300123 12.03033408 13.00297273
## [8,] 12.84176893 12.31076887 13.194857639 11.36581207 12.03480771 13.01815199
## [9,] 12.83277870 12.33739342 13.203801517 11.37118866 11.99658675 12.98987748
## [10,] 12.78612460 12.32854807 13.174167661 11.34151237 11.91870515 12.92102375
## [11,] 12.70459316 12.28674001 13.108805559 11.27950274 11.80459316 12.81485531
## [12,] 12.59126735 12.21475740 13.010872433 11.18816568 11.65801458 12.67496655
## [13,] 12.44947089 12.11561694 12.883775056 11.07073814 11.48299964 12.50521746
## [14,] 12.28270970 11.99250892 12.731108678 10.93062986 11.28377465 12.30966627
## [15,] 12.09461168 11.84874046 12.556594044 10.77136356 11.06468955 12.09249993
## [16,] 11.88886549 11.68767796 12.364013538 10.59651411 10.83014459 11.85796379
## [17,] 11.66915958 11.51268970 12.157147463 10.40964803 10.58451715 11.61029138
## [18,] 11.43912224 11.32708941 11.939711493 10.21426400 10.33209005 11.35363553
## [19,] 11.20226372 11.13408188 11.715296285 10.01373551 10.07698241 11.09200193
## [20,] 10.96192139 10.93671128 11.487310213 9.81125656 9.82308412 10.82918610
## [21,] 10.72120863 10.73781313 11.258926135 9.60979108 9.57399503 10.56871483
## [22,] 10.48296840 10.53997076 11.033033020 9.41202716 9.33296977 10.31379303
## [23,] 10.24973221 10.34547666 10.812193202 9.22033657 9.10286909 10.06725672
## [24,] 10.02368500 10.15629964 10.598605920 9.03674027 8.88611844 9.83153299
## [25,] 9.80663657 9.97405813 10.394077692 8.86288054 8.68467449 9.60860751
## [26,] 9.60000000 9.80000000 10.200000000 8.70000000 8.50000000 9.40000000
## [27,] 9.40477725 9.63498933 10.017334575 8.54892794 8.33304758 9.20674819
## [28,] 9.22155231 9.47950018 9.846606518 8.41007410 8.18425234 9.02940030
## [29,] 9.05049180 9.33361756 9.687905315 8.28343000 8.05353373 8.86801630
## [30,] 8.89135312 9.19704537 9.540893697 8.16857773 7.94030641 8.72217775
## [31,] 8.74349986 9.06912136 9.404824168 8.06470611 7.84349986 8.59100607
## [32,] 8.60592425 8.94883869 9.278562897 7.97063379 7.76158662 8.47318896
## [33,] 8.47727626 8.83487371 9.160620535 7.88483905 7.69261838 8.36701447
## [34,] 8.35589872 8.72561957 9.049189448 7.80549563 7.63426947 8.27041202
## [35,] 8.23986809 8.61922500 8.942186693 7.73051406 7.58388709 8.18099989
## [36,] 8.12703988 8.51363760 8.837302024 7.65758785 7.53854718 8.09613818
## [37,] 8.01509814 8.40665092 8.732050105 7.58424361 7.49511521 8.01298640
## [38,] 7.90160822 8.29595455 8.623826042 7.50789433 7.45031086 7.92856479
## [39,] 7.78407167 8.17918635 8.509963291 7.42589500 7.40077533 7.83981825
## [40,] 7.65998260 8.05398589 8.387792976 7.33559947 7.34314042 7.74368179
## [41,] 7.52688439 7.91804824 8.254703593 7.23441776 7.27409799 7.63714654
## [42,] 7.38242588 7.76917727 8.108200108 7.11987274 7.19046876 7.51732502
## [43,] 7.22441595 7.60533735 7.945961437 6.98965526 7.08926934 7.38151473
## [44,] 7.05087580 7.42470278 7.765895325 6.84167681 6.96777622 7.22725885
## [45,] 6.86008772 7.22570401 7.566189700 6.67411880 6.82358576 7.05240322
## [46,] 6.65063981 7.00706977 7.345359608 6.48547767 6.65466921 6.85514831
## [47,] 6.42146567 6.76786456 7.102288924 6.27460489 6.45942161 6.63409565
## [48,] 6.17187847 6.50752071 6.836266098 6.04074142 6.23670397 6.38828768
## [49,] 5.90159877 6.22586445 6.547013319 5.78354574 5.98587791 6.11724036
## [50,] 5.61077552 5.92313552 6.234708545 5.50311518 5.70683209 5.82096804
## [51,] 5.30000000 5.60000000 5.900000000 5.20000000 5.40000000 5.50000000
## [52,] 4.97031222 5.25755601 5.544012830 4.87520998 5.06636879 5.15538853
## [53,] 4.62319979 4.89733217 5.168347750 4.53021340 4.70747893 4.78870809
## [54,] 4.26058907 4.52127878 4.775071638 4.16692827 4.32541456 4.40204575
## [55,] 3.88482882 4.13175176 4.366700165 3.78770602 3.92278476 3.99798285
## [56,] 3.49866647 3.73148963 3.946172670 3.39530773 3.50269587 3.57956816
## [57,] 3.10521728 3.32358375 3.516819620 2.99287328 3.06871533 3.15028296
## [58,] 2.70792702 2.91144229 3.082323117 2.58388389 2.62482744 2.71399836
## [59,] 2.31052848 2.49874840 2.646671022 2.17211852 2.17538187 2.27492578
## [60,] 1.91699257 2.08941324 2.214105363 1.76160479 1.72503545 1.83756100
## [61,] 1.53147482 1.68752457 1.789065817 1.35656524 1.27868842 1.40662287
## [62,] 1.15825790 1.29729160 1.376129089 0.96135957 0.84141573 0.98698750
## [63,] 0.80169119 0.92298703 0.979945126 0.58042394 0.41839485 0.58361893
## [64,] 0.46612822 0.56888710 0.605171140 0.21820806 0.01483086 0.20149734
## [65,] 0.15586307 0.23921054 0.256404435 -0.12088882 -0.36411986 -0.15445398
## [66,] -0.12493347 -0.06194254 -0.061884914 -0.43258209 -0.71342616 -0.47944196
## [67,] -0.37227675 -0.33065101 -0.345420487 -0.71276520 -1.02825775 -0.76887612
## [68,] -0.58242942 -0.56323123 -0.590184032 -0.95757118 -1.30405866 -1.01843879
## [69,] -0.75195968 -0.75629305 -0.792477042 -1.16343147 -1.53661756 -1.22415229
## [70,] -0.87779590 -0.90679206 -0.948978448 -1.32713107 -1.72213353 -1.38244179
## [71,] -0.95727660 -1.01207771 -1.056797511 -1.44585906 -1.85727660 -1.49019301
## [72,] -0.98819512 -1.06993614 -1.113521076 -1.51725388 -1.93924184 -1.54480376
## [73,] -0.96883816 -1.07862730 -1.117254443 -1.53944251 -1.96579623 -1.54422855
## [74,] -0.89801765 -1.03691565 -1.066655196 -1.51107291 -1.93531762 -1.48701553
## [75,] -0.77509538 -0.94409400 -0.960959438 -1.43133934 -1.84682505 -1.37233514
## [76,] -0.60000000 -0.80000000 -0.800000000 -1.30000000 -1.70000000 -1.20000000
## [77,] -0.37323606 -0.60502519 -0.584216321 -1.11738675 -1.49519814 -0.97047581
## [78,] -0.09588495 -0.36011619 -0.314655795 -0.88440674 -1.23345151 -0.68488284
## [79,] 0.23040226 -0.06676820 0.007033444 -0.60253594 -0.91646086 -0.34498814
## [80,] 0.60342016 0.27298925 0.378618247 -0.27380445 -0.54657847 0.04681152
## [81,] 1.02043216 0.65661406 0.797304455 0.09922592 -0.12678144 0.48751576
## [82,] 1.47820124 1.08108052 1.259768868 0.51349170 0.33936396 0.97355535
## [83,] 1.97302779 1.54291513 1.762198708 0.96546499 0.84774647 1.50083518
## [84,] 2.50079410 2.03823861 2.300338013 1.45119720 1.39376191 2.06478472
## [85,] 3.05701474 2.56281369 2.869540282 1.96636878 1.97237231 2.66041537
## [86,] 3.63689215 3.11209782 3.464826600 2.50634417 2.57817125 3.28238365
## [87,] 4.23537660 3.68130009 4.080948373 3.06623113 3.20545448 3.92505956
## [88,] 4.84722970 4.26544147 4.712453776 3.64094359 3.84829465 4.58259882
## [89,] 5.46709041 4.85941762 5.353756891 4.22526708 4.50061916 5.24901814
## [90,] 6.08954266 5.45806311 5.999208545 4.81392579 5.15628989 5.91827225
## [91,] 6.70918358 6.05621634 6.643167784 5.40165021 5.80918358 6.58433163
## [92,] 7.32069129 6.64878404 7.280072916 5.98324442 6.45327184 7.24125972
## [93,] 7.91889123 7.23080447 7.904511102 6.55365192 7.08269927 7.88328853
## [94,] 8.49882016 7.79750838 8.511285432 7.10801915 7.69185894 8.50489150
## [95,] 9.05578679 8.34437677 9.095478535 7.64175571 8.27546365 9.10085247
## [96,] 9.58542817 8.86719481 9.652511768 8.15059031 8.82861236 9.66632987
## [97,] 10.08376105 9.36210083 10.178199132 8.63062183 9.34685046 10.19691508
## [98,] 10.54722747 9.82562993 10.668795142 9.07836453 9.82622316 10.68868415
## [99,] 10.97273388 10.25475156 11.121035958 9.49078691 10.26332126 11.13824218
## [100,] 11.35768328 10.64690035 11.532173201 9.86534363 10.65531847 11.54275959
## [101,] 11.70000000 11.00000000 11.900000000 10.20000000 11.00000000 11.90000000
## ys ys ys ys ys ys
## [1,] 11.30000000 13.70000000 12.60000000 9.70000000 12.40000000 10.40000000
## [2,] 11.62523451 14.09585039 13.00998789 9.99778345 12.73345531 10.68637779
## [3,] 11.90912658 14.44065148 13.37203881 10.26219325 13.01690775 10.92922033
## [4,] 12.15105666 14.73365463 13.68536384 10.49260325 13.24987861 11.12812572
## [5,] 12.35089589 14.97471295 13.94978180 10.68879241 13.43250384 11.28322666
## [6,] 12.50899361 15.16426601 14.16570329 10.85093480 13.56551681 11.39517551
## [7,] 12.62615803 15.30331613 14.33410612 10.97958397 13.65022255 11.46512172
## [8,] 12.70363044 15.39339683 14.45650262 11.07565196 13.68846371 11.49468226
## [9,] 12.74305348 15.43653395 14.53489935 11.14038326 13.68257895 11.48590530
## [10,] 12.74643387 15.43520008 14.57174986 11.17532435 13.63535446 11.44122807
## [11,] 12.71610046 15.39226316 14.56990151 11.18228914 13.54996941 11.36342931
## [12,] 12.65465804 15.31092995 14.53253698 11.16332105 13.42993614 11.25557726
## [13,] 12.56493790 15.19468554 14.46311166 11.12065229 13.27903631 11.12097401
## [14,] 12.44994583 15.04722966 14.36528781 11.05666099 13.10125372 10.96309713
## [15,] 12.31280844 14.87241100 14.24286672 10.97382702 12.90070523 10.78553943
## [16,] 12.15671864 14.67416043 14.09971983 10.87468704 12.68157059 10.59194799
## [17,] 11.98488125 14.45642448 13.93971998 10.76178964 12.44802255 10.38596328
## [18,] 11.80045953 14.22309977 13.76667402 10.63765129 12.20415820 10.17115943
## [19,] 11.60652348 13.97796978 13.58425764 10.50471372 11.95393276 9.95098659
## [20,] 11.40600080 13.72464478 13.39595375 10.36530350 11.70109670 9.72871627
## [21,] 11.20163123 13.46650585 13.20499506 10.22159448 11.44913744 9.50739053
## [22,] 10.99592502 13.20665405 13.01431215 10.07557354 11.20122629 9.28977581
## [23,] 10.79112615 12.94786531 12.82648753 9.92901042 10.96017162 9.07832224
## [24,] 10.58918087 12.69255183 12.64371658 9.78343188 10.72837887 8.87512877
## [25,] 10.39171210 12.44273071 12.46777596 9.64010073 10.50781820 8.68191502
## [26,] 10.20000000 12.20000000 12.30000000 9.50000000 10.30000000 8.50000000
## [27,] 10.01496899 11.96552276 12.14126526 9.36382245 10.10595888 8.33028811
## [28,] 9.83718147 11.74001926 11.99198376 9.23196565 9.92624618 8.17326266
## [29,] 9.66683826 11.52376732 11.85210469 9.10453263 9.76093120 8.02898688
## [30,] 9.50378570 11.31661091 11.72112474 8.98133803 9.60961102 7.89711245
## [31,] 9.34752927 11.11797669 11.59810669 8.86191970 9.47142867 7.77689536
## [32,] 9.19725348 10.92689817 11.48170607 8.74555547 9.34509956 7.66721878
## [33,] 9.05184773 10.74204717 11.37020533 8.63128484 9.22894529 7.56662256
## [34,] 8.90993749 10.56177185 11.26155491 8.51793512 9.12093469 7.47333885
## [35,] 8.76992048 10.38414084 11.15342065 8.40415174 9.01873106 7.38533323
## [36,] 8.63000712 10.20699252 11.04323652 8.28843193 8.91974497 7.30035058
## [37,] 8.48826450 10.02798867 10.92826198 8.16916146 8.82119169 7.21596509
## [38,] 8.34266320 9.84467166 10.80564286 8.04465372 8.72015224 7.12963334
## [39,] 8.19112614 9.65452397 10.67247479 7.91319033 8.61363709 7.03874970
## [40,] 8.03157858 9.45502930 10.52586812 7.77306279 8.49865139 6.94070310
## [41,] 7.86199849 9.24373400 10.36301314 7.62261437 8.37226064 6.83293414
## [42,] 7.68046632 9.01830785 10.18124465 7.46028148 8.23165574 6.71299169
## [43,] 7.48521340 8.77660318 9.97810461 7.28463387 8.07421619 6.57858789
## [44,] 7.27466813 8.51671123 9.75140195 7.09441293 7.89757057 6.42765076
## [45,] 7.04749911 8.23701484 9.49926839 6.88856744 7.69965304 6.25837340
## [46,] 6.80265451 7.93623649 9.22020941 6.66628613 7.47875510 6.06925902
## [47,] 6.53939692 7.61348093 8.91314937 6.42702650 7.23357161 5.85916096
## [48,] 6.25733315 7.26827152 8.57747014 6.17053935 6.96324021 5.62731711
## [49,] 5.95643837 6.90057975 8.21304236 5.89688857 6.66737366 5.37337800
## [50,] 5.63707413 6.51084726 7.82024890 5.60646585 6.34608424 5.09742811
## [51,] 5.30000000 6.10000000 7.40000000 5.30000000 6.00000000 4.80000000
## [52,] 4.94637842 5.66945429 6.95373973 4.97856065 5.63027232 4.48208102
## [53,] 4.57777280 5.22111442 6.48344374 4.64355623 5.23857480 4.14511231
## [54,] 4.19613869 4.75736191 5.99160800 4.29672620 4.82709322 3.79098023
## [55,] 3.80380816 4.28103644 5.48122892 3.94012763 4.39850689 3.42200006
## [56,] 3.40346757 3.79540876 4.95577488 3.57611618 3.95596137 3.04089247
## [57,] 2.99812903 3.30414583 4.41914957 3.20732191 3.50303314 2.65075279
## [58,] 2.59109592 2.81126872 3.87564773 2.83662001 3.04368665 2.25501370
## [59,] 2.18592298 2.32110395 3.32990391 2.46709713 2.58222431 1.85740188
## [60,] 1.78637158 1.83822880 2.78683488 2.10201353 2.12323028 1.46188910
## [61,] 1.39636072 1.36741162 2.25157666 1.74476184 1.67150877 1.07263867
## [62,] 1.01991469 0.91354784 1.72941706 1.39882289 1.23201791 0.69394800
## [63,] 0.66110797 0.48159275 1.22572473 1.06771927 0.80980008 0.33018806
## [64,] 0.32400830 0.07649205 0.74587580 0.75496745 0.40990989 -0.01425921
## [65,] 0.01261883 -0.29688878 0.29517923 0.46402904 0.03734073 -0.33506469
## [66,] -0.26917982 -0.63383521 -0.12119800 0.19826198 -0.30304876 -0.62801597
## [67,] -0.51768670 -0.92985336 -0.49830472 -0.03912751 -0.60660729 -0.88908044
## [68,] -0.72943599 -1.18073767 -0.83147727 -0.24513168 -0.86896146 -1.11446661
## [69,] -0.90124984 -1.38263534 -1.11640800 -0.41698569 -1.08608311 -1.30068255
## [70,] -1.03028786 -1.53210674 -1.34920943 -0.55220939 -1.25435238 -1.44459078
## [71,] -1.11409241 -1.62618063 -1.52647323 -0.64864546 -1.37061561 -1.54345850
## [72,] -1.15062907 -1.66240345 -1.64532288 -0.70449358 -1.43223702 -1.59500253
## [73,] -1.13832150 -1.63888184 -1.70345937 -0.71833987 -1.43714345 -1.59742818
## [74,] -1.07608025 -1.55431774 -1.69919912 -0.68918136 -1.38386142 -1.54946141
## [75,] -0.96332503 -1.40803540 -1.63150359 -0.61644484 -1.27154583 -1.45037383
## [76,] -0.80000000 -1.20000000 -1.50000000 -0.50000000 -1.10000000 -1.30000000
## [77,] -0.58658191 -0.93082745 -1.30499289 -0.34016655 -0.86968650 -1.09874692
## [78,] -0.32408085 -0.60178517 -1.04746630 -0.13771513 -0.58172872 -0.84759530
## [79,] -0.01403361 -0.21478385 -0.72907653 0.10613791 -0.23790304 -0.54809282
## [80,] 0.34151025 0.22763970 -0.35213547 0.38974193 0.15937826 -0.20233917
## [81,] 0.74000955 0.72234853 0.08041514 0.71102931 0.60709315 0.18703667
## [82,] 1.17845946 1.26563986 0.56503824 1.06753865 1.10164476 0.61690671
## [83,] 1.65342590 1.85328728 1.09764432 1.45644319 1.63890436 1.08368148
## [84,] 2.16108605 2.48059026 1.67364183 1.87458449 2.21426205 1.58335397
## [85,] 2.69727407 3.14243028 2.28799461 2.31851038 2.82268420 2.11154961
## [86,] 3.25753170 3.83333271 2.93528531 2.78451709 3.45877685 2.66358145
## [87,] 3.83716277 4.54753354 3.60978397 3.26869459 4.11685426 3.23450965
## [88,] 4.43129093 5.27905006 4.30552075 3.76697472 4.79101137 3.81920458
## [89,] 5.03491973 6.02175432 5.01636160 4.27518123 5.47519930 4.41241238
## [90,] 5.64299415 6.76944848 5.73608593 4.78908116 6.16330266 5.00882216
## [91,] 6.25046269 7.51594078 6.45846503 5.30443662 6.84921753 5.60313384
## [92,] 6.85233913 8.25512103 7.17734009 5.81705640 7.52692900 6.19012548
## [93,] 7.44376306 8.98103472 7.88669865 6.32284652 8.19058706 6.76471929
## [94,] 8.02005824 9.68795432 8.58074840 6.81785904 8.83457978 7.32204520
## [95,] 8.57678795 10.37044712 9.25398729 7.29833845 9.45360265 7.85750111
## [96,] 9.10980667 11.02343829 9.90126877 7.76076486 10.04272307 8.36680896
## [97,] 9.61530713 11.64226846 10.51786136 8.20189354 10.59743912 8.84606576
## [98,] 10.08986220 12.22274501 11.09950170 8.61879011 11.11373163 9.29178883
## [99,] 10.53046101 12.76118615 11.64244018 9.00886092 11.58810888 9.70095464
## [100,] 10.93453879 13.25445743 12.14347872 9.36987826 12.01764338 10.07103070
## [101,] 11.30000000 13.70000000 12.60000000 9.70000000 12.40000000 10.40000000
## ys ys ys ys ys ys
## [1,] 12.50000000 10.80000000 12.1000000 12.20000000 10.8000000 10.90000000
## [2,] 12.89940072 11.08815217 12.4348350 12.55623511 11.0816758 11.18756019
## [3,] 13.25482015 11.33629223 12.7224026 12.87021614 11.3229704 11.43392664
## [4,] 13.56541208 11.54394169 12.9621520 13.14120476 11.5234323 11.63862787
## [5,] 13.83086846 11.71110701 13.1541008 13.36895746 11.6830963 11.80168195
## [6,] 14.05140610 11.83826646 13.2988191 13.55371341 11.8024704 11.92358341
## [7,] 14.22774592 11.92635035 13.3974065 13.69617560 11.8825155 12.00528330
## [8,] 14.36108498 11.97671475 13.4514616 13.79748550 11.9246195 12.04816287
## [9,] 14.45306191 11.99110927 13.4630443 13.85919165 11.9305646 12.05400127
## [10,] 14.50571630 11.97163942 13.4346314 13.88321286 11.9024895 12.02493780
## [11,] 14.52144276 11.92072421 13.3690677 13.87179649 11.8428474 11.96342931
## [12,] 14.50294044 11.84104967 13.2695112 13.82747268 11.7543586 11.87220364
## [13,] 14.45315881 11.73551905 13.1393751 13.75300518 11.6399612 11.75420964
## [14,] 14.37524066 11.60720053 12.9822665 13.65133957 11.5027584 11.61256466
## [15,] 14.27246327 11.45927330 12.8019239 13.52554986 11.3459644 11.45050049
## [16,] 14.14817858 11.29497286 12.6021525 13.37878418 11.1728497 11.27130844
## [17,] 14.00575354 11.11753646 12.3867611 13.21421057 10.9866863 11.07828450
## [18,] 13.84851145 10.93014942 12.1594989 13.03496361 10.7906941 10.87467552
## [19,] 13.67967529 10.73589346 11.9239955 12.84409287 10.5879887 10.66362725
## [20,] 13.50231395 10.53769754 11.6837029 12.64451395 10.3815324 10.44813491
## [21,] 13.31929225 10.33829222 11.4418425 12.43896289 10.1740883 10.23099732
## [22,] 13.13322550 10.14016816 11.2013566 12.22995458 9.9681788 10.01477513
## [23,] 12.94643929 9.94553940 10.9648650 12.01974604 9.7660488 9.80175380
## [24,] 12.76093523 9.75631208 10.7346288 11.81030487 9.5696339 9.59391205
## [25,] 12.57836313 9.57405891 10.5125202 11.60328357 9.3805353 9.39289607
## [26,] 12.40000000 9.40000000 10.3000000 11.40000000 9.2000000 9.20000000
## [27,] 12.22673622 9.23499010 10.0981028 11.20142425 9.0289084 9.01615295
## [28,] 12.05906912 9.07951262 9.9074295 11.00817217 8.8677678 8.84191265
## [29,] 11.89710393 8.93368030 9.7281484 10.82050562 8.7167134 8.67746591
## [30,] 11.74056214 8.79724277 9.5600034 10.63833930 8.5755155 8.52263580
## [31,] 11.58879709 8.66960046 9.4023304 10.46125413 8.4435931 8.37689536
## [32,] 11.44081645 8.54982496 9.2540808 10.28851682 8.3200349 8.23938759
## [33,] 11.29531126 8.43668529 9.1138522 10.11910540 8.2036247 8.10895150
## [34,] 11.15069088 8.32867958 8.9799247 9.95174009 8.0928735 7.98415348
## [35,] 11.00512349 8.22407176 8.8503042 9.78491908 7.9860563 7.86332373
## [36,] 10.85658117 8.12093250 8.7227698 9.61695857 7.8812523 7.74459693
## [37,] 10.70288893 8.01718375 8.5949256 9.44603632 7.7763900 7.62595655
## [38,] 10.54177687 7.91064615 8.4642556 9.27023809 7.6692946 7.50528202
## [39,] 10.37093449 7.79908846 8.3281821 9.08760596 7.5577369 7.38039787
## [40,] 10.18806628 7.68027816 8.1841238 8.89618793 7.4394844 7.24912419
## [41,] 9.99094759 7.55203244 8.0295555 8.69408772 7.3123522 7.10932734
## [42,] 9.77747992 7.41226862 7.8620671 8.47951413 7.1742531 6.95897024
## [43,] 9.54574450 7.25905320 7.6794202 8.25082890 7.0232472 6.79616119
## [44,] 9.29405349 7.09064867 7.4796031 8.00659236 6.8575880 6.61920055
## [45,] 9.02099760 6.90555733 7.2608817 7.74560609 6.6757672 6.42662438
## [46,] 8.72548961 6.70256127 7.0218461 7.46695170 6.4765539 6.21724431
## [47,] 8.40680275 6.48075794 6.7614520 7.17002523 6.2590306 5.99018299
## [48,] 8.06460348 6.23959054 6.4790562 6.85456636 6.0226237 5.74490436
## [49,] 7.69897782 5.97887284 6.1744456 6.52068205 5.7671280 5.48123843
## [50,] 7.31045104 5.69880784 5.8478586 6.16886405 5.4927261 5.19939982
## [51,] 6.90000000 5.40000000 5.5000000 5.80000000 5.2000000 4.90000000
## [52,] 6.46905808 5.08346075 5.1320467 5.41537781 4.8899371 4.58405273
## [53,] 6.01951249 4.75060715 4.7456467 5.01668324 4.5639290 4.25297274
## [54,] 5.55369386 4.40325366 4.3429092 4.60599058 4.2237631 3.90856748
## [55,] 5.07435826 4.04359704 3.9263872 4.18574659 3.8716077 3.55302209
## [56,] 4.58466188 3.67419472 3.4990523 3.75874777 3.5099908 3.18887777
## [57,] 4.08812859 3.29793671 3.0642618 3.32811146 3.1417715 2.81900376
## [58,] 3.58861098 2.91801161 2.6257191 2.89724086 2.7701068 2.44656350
## [59,] 3.09024527 2.53786719 2.1874283 2.46978481 2.3984119 2.07497519
## [60,] 2.59740087 2.16116603 1.7536416 2.04959259 2.0303159 1.70786765
## [61,] 2.11462521 1.79173697 1.3288037 1.64066469 1.6696138 1.34903187
## [62,] 1.64658482 1.43352306 0.9174903 1.24710005 1.3202141 1.00236909
## [63,] 1.19800327 1.09052682 0.5243451 0.87304069 0.9860847 0.67183623
## [64,] 0.77359726 0.76675360 0.1540133 0.52261456 0.6711958 0.36138947
## [65,] 0.37801147 0.46615397 -0.1889254 0.19987741 0.3794629 0.07492677
## [66,] 0.01575344 0.19256596 -0.5000239 -0.09124536 0.1146891 -0.18376962
## [67,] -0.30887071 -0.05034191 -0.7750341 -0.34701602 -0.1194918 -0.41108994
## [68,] -0.59181863 -0.25912588 -1.0099715 -0.56394007 -0.3196706 -0.60365199
## [69,] -0.82937125 -0.43061983 -1.2011762 -0.73881923 -0.4827150 -0.75835361
## [70,] -1.01818846 -0.56198460 -1.3453711 -0.86880101 -0.6058194 -0.87242197
## [71,] -1.15536023 -0.65075340 -1.4397139 -0.95142407 -0.6865495 -0.94345850
## [72,] -1.23845222 -0.69487221 -1.4818447 -0.98465863 -0.7228829 -0.96947918
## [73,] -1.26554523 -0.69273475 -1.4699263 -0.96694139 -0.7132442 -0.94894915
## [74,] -1.23526788 -0.64321146 -1.4026781 -0.89720425 -0.6565333 -0.88081143
## [75,] -1.14682194 -0.54567183 -1.2794019 -0.77489650 -0.5521482 -0.76450899
## [76,] -1.00000000 -0.40000000 -1.1000000 -0.60000000 -0.4000000 -0.60000000
## [77,] -0.79519503 -0.20660303 -0.8649845 -0.37303717 -0.2005213 -0.38776587
## [78,] -0.53340177 0.03358800 -0.5754788 -0.09507155 0.0453328 -0.12881203
## [79,] -0.21620987 0.31912435 -0.2332096 0.23229903 0.3360912 0.17533874
## [80,] 0.15421114 0.64805318 0.1595086 0.60695665 0.6697805 0.52266015
## [81,] 0.57513494 1.01793837 0.5997983 1.02628469 1.0439457 0.91064346
## [82,] 1.04330904 1.42588798 1.0842509 1.48719612 1.4556781 1.33632535
## [83,] 1.55499279 1.86858835 1.6089671 1.98616824 1.9016490 1.79632214
## [84,] 2.10600194 2.34234396 2.1696028 2.51928345 2.3781500 2.28687006
## [85,] 2.69175934 2.84312279 2.7614227 3.08227547 2.8811383 2.80387083
## [86,] 3.30735086 3.36660632 3.3793588 3.67058025 3.4062865 3.34294189
## [87,] 3.94758582 3.90824352 4.0180729 4.27939094 3.9490372 3.89947071
## [88,] 4.60706105 4.46330798 4.6720242 4.90371604 4.5046595 4.46867211
## [89,] 5.28022759 5.02695741 5.3355381 5.53843991 5.0683090 5.04564800
## [90,] 5.96145898 5.59429457 6.0028777 6.17838480 5.6350883 5.62544854
## [91,] 6.64512038 6.16042874 6.6683158 6.81837346 6.2001090 6.20313384
## [92,] 7.32563725 6.72053683 7.3262059 7.45329132 6.7585523 6.77383521
## [93,] 7.99756268 7.26992326 7.9710524 8.07814756 7.3057293 7.33281527
## [94,] 8.65564247 7.80407769 8.5975777 8.68813400 7.8371383 7.87552581
## [95,] 9.29487691 8.31872973 9.2007866 9.27868097 8.3485198 8.39766268
## [96,] 9.91057837 8.80989991 9.7760253 9.84550948 8.8359073 8.89521687
## [97,] 10.49842397 9.27394611 10.3190361 10.38467882 9.2956734 9.36452106
## [98,] 11.05450247 9.70760481 10.8260051 10.89262899 9.7245717 9.80229099
## [99,] 11.57535482 10.10802654 11.2936037 11.36621733 10.1197713 10.20566095
## [100,] 12.05800776 10.47280508 11.7190231 11.80274888 10.4788868 10.57221310
## [101,] 12.50000000 10.80000000 12.1000000 12.20000000 10.8000000 10.90000000
## ys ys ys ys ys ys
## [1,] 11.30000000 11.80000000 12.10000000 13.70000000 11.4000000 10.60000000
## [2,] 11.62954262 12.14564872 12.46251494 14.07859030 11.7287541 10.90287854
## [3,] 11.91381191 12.45300992 12.78276189 14.40933488 12.0106702 11.16999540
## [4,] 12.15227028 12.72131575 13.06000564 14.69148494 12.2452479 11.40071374
## [5,] 12.34494025 12.95024152 13.29402385 14.92484465 12.4325709 11.59481130
## [6,] 12.49238910 13.13989531 13.48509420 15.10975751 12.5732908 11.75247041
## [7,] 12.59570577 13.29080167 13.63397432 15.24708504 12.6686026 11.87426232
## [8,] 12.65647016 13.40387943 13.74187501 15.33817824 12.7202126 11.96112612
## [9,] 12.67671555 13.48041422 13.81042703 15.38484249 12.7302982 12.01434263
## [10,] 12.65888476 13.52202605 13.84164229 15.38929619 12.7014627 12.03550378
## [11,] 12.60578069 13.53063264 13.83786991 15.35412418 12.6366824 12.02647786
## [12,] 12.52051218 13.50840897 13.80174791 15.28222649 12.5392503 11.98937140
## [13,] 12.40643604 13.45774393 13.73615149 15.17676330 12.4127151 11.92648818
## [14,] 12.26709612 13.38119453 13.64413854 15.04109718 12.2608171 11.84028612
## [15,] 12.10616057 13.28143867 13.52889345 14.87873329 12.0874224 11.73333274
## [16,] 11.92735819 13.16122713 13.39367008 14.69325873 11.8964565 11.60825989
## [17,] 11.73441490 13.02333549 13.24173472 14.48828196 11.6918370 11.46771851
## [18,] 11.53099143 12.87051689 13.07631013 14.26737312 11.4774087 11.31433416
## [19,] 11.32062313 12.70545640 12.90052146 14.03400646 11.2568807 11.15066400
## [20,] 11.10666295 12.53072747 12.71734492 13.79150556 11.0337661 10.97915588
## [21,] 10.89222839 12.34875159 12.52956004 13.54299229 10.8113267 10.80211033
## [22,] 10.68015336 12.16176131 12.33970627 13.29134044 10.5925227 10.62164579
## [23,] 10.47294566 11.97176762 12.15004459 13.03913443 10.3799680 10.43966793
## [24,] 10.27275074 11.78053191 11.96252473 12.78863405 10.1758924 10.25784329
## [25,] 10.08132226 11.58954306 11.77875857 12.54174563 9.9821108 10.07757772
## [26,] 9.90000000 11.40000000 11.60000000 12.30000000 9.8000000 9.90000000
## [27,] 9.72969535 11.21279994 11.42713166 12.06453769 9.6304839 9.72595081
## [28,] 9.57088464 11.02853251 11.26065862 11.83610148 9.4740263 9.55597718
## [29,] 9.42361030 10.84747973 11.10070923 11.61503644 9.3306327 9.39033257
## [30,] 9.28748999 10.66962198 10.94704291 11.40129730 9.1998593 9.22898242
## [31,] 9.16173322 10.49464962 10.79906488 11.19446314 9.0808315 9.07161516
## [32,] 9.04516546 10.32198016 10.65584742 10.99375895 8.9722686 8.91765839
## [33,] 8.93625910 10.15078065 10.51615742 10.79808385 8.8725167 8.76629997
## [34,] 8.83317085 9.97999485 10.37848955 10.60604520 8.7795882 8.61651359
## [35,] 8.73378484 9.80837472 10.24110467 10.41599832 8.6912069 8.46708846
## [36,] 8.63576077 9.63451562 10.10207267 10.22609082 8.6048591 8.31666247
## [37,] 8.53658623 9.45689474 9.95931911 10.03431096 8.5178481 8.16375839
## [38,] 8.43363233 9.27391189 9.81067474 9.83853917 8.4273533 8.00682232
## [39,] 8.32421173 9.08393216 9.65392718 9.63660173 8.3304908 7.84426386
## [40,] 8.20563802 8.88532952 9.48687376 9.42632584 8.2243762 7.67449724
## [41,] 8.07528552 8.67653067 9.30737474 9.20559502 8.1061872 7.49598269
## [42,] 7.93064837 8.45605850 9.11340591 8.97240395 7.9732263 7.30726740
## [43,] 7.76939814 8.22257414 8.90310962 8.72491172 7.8229808 7.10702523
## [44,] 7.58943866 7.97491712 8.67484351 8.46149265 7.6531811 6.89409462
## [45,] 7.38895745 7.71214275 8.42722600 8.18078375 7.4618543 6.66751400
## [46,] 7.16647261 7.43355621 8.15917771 7.88172799 7.2473743 6.42655392
## [47,] 6.92087455 7.13874255 7.86995815 7.56361263 7.0085052 6.17074559
## [48,] 6.65146168 6.82759225 7.55919704 7.22610183 6.7444393 5.89990513
## [49,] 6.35796958 6.50032171 7.22691957 6.86926315 6.4548279 5.61415307
## [50,] 6.04059294 6.15748835 6.87356526 6.49358716 6.1398044 5.31392886
## [51,] 5.70000000 5.80000000 6.50000000 6.10000000 5.8000000 5.00000000
## [52,] 5.33733912 5.42911832 6.10752092 5.68986851 5.4365506 4.67346556
## [53,] 4.95423737 5.04645620 5.69785412 5.26499776 5.0510957 4.33575409
## [54,] 4.55279096 4.65396900 5.27314500 4.82762101 4.6457686 3.98861572
## [55,] 4.13554781 4.25393986 4.83594153 4.38038207 4.2231785 3.63410874
## [56,] 3.70548227 3.84895907 4.38917038 3.92631046 3.7863840 3.27458057
## [57,] 3.26596246 3.44189794 3.93610646 3.46878947 3.3388593 2.91264356
## [58,] 2.82071060 3.03587734 3.48033616 3.01151771 2.8844530 2.55114585
## [59,] 2.37375699 2.63423152 3.02571479 2.55846469 2.4273397 2.19313775
## [60,] 1.92938827 2.24046768 2.57631901 2.11382098 1.9719662 1.84183409
## [61,] 1.49209069 1.85822174 2.13639467 1.68194380 1.5229924 1.50057312
## [62,] 1.06648934 1.49121123 1.71030108 1.26729877 1.0852275 1.17277254
## [63,] 0.65728414 1.14318573 1.30245248 0.87439878 0.6635632 0.86188338
## [64,] 0.26918370 0.81787581 0.91725749 0.50774074 0.2629046 0.57134232
## [65,] -0.09316209 0.51894112 0.55905755 0.17174146 -0.1119002 0.30452332
## [66,] -0.42522956 0.24991848 0.23206534 -0.12932671 -0.4561313 0.06468913
## [67,] -0.72268792 0.01417078 -0.05969603 -0.39139913 -0.7652659 -0.14505638
## [68,] -0.98146397 -0.18516264 -0.31245195 -0.61068030 -1.0350466 -0.32181455
## [69,] -1.19780389 -0.34521316 -0.52273262 -0.78370242 -1.2615463 -0.46293597
## [70,] -1.36833119 -0.46342708 -0.68742570 -0.90738006 -1.4412280 -0.56606177
## [71,] -1.49009976 -0.53760597 -0.80382462 -0.97906027 -1.5710015 -0.62916131
## [72,] -1.56064141 -0.56594268 -0.86967166 -0.99656716 -1.6482721 -0.65056583
## [73,] -1.57800691 -0.54705238 -0.88319523 -0.95824037 -1.6709846 -0.62899739
## [74,] -1.54080002 -0.47999803 -0.84314074 -0.86296670 -1.6376583 -0.56359277
## [75,] -1.44820401 -0.36431011 -0.74879443 -0.71020444 -1.5474155 -0.45392182
## [76,] -1.30000000 -0.20000000 -0.60000000 -0.50000000 -1.4000000 -0.30000000
## [77,] -1.09657710 0.01243301 -0.39716752 -0.23299649 -1.1957886 -0.10229491
## [78,] -0.83893391 0.27200138 -0.14127463 0.08956588 -0.9357922 0.13827334
## [79,] -0.52867154 0.57723551 0.16614013 0.46585762 -0.6216492 0.42033797
## [80,] -0.16797805 0.92619664 0.52299171 0.89347598 -0.2556087 0.74209754
## [81,] 0.24039540 1.31649600 0.92667055 1.36946889 0.1594937 1.10133386
## [82,] 0.69316631 1.74532024 1.37407179 1.89036654 0.6202694 1.49543573
## [83,] 1.18656014 2.20946259 1.86163142 2.45222019 1.1228177 1.92142806
## [84,] 1.71635661 2.70535941 2.38536863 3.05064762 1.6627739 2.37600603
## [85,] 2.27794213 3.22913155 2.94093403 3.68088451 2.2353642 2.85557367
## [86,] 2.86636785 3.77663000 3.52366275 4.33784121 2.8354662 3.35628654
## [87,] 3.47641225 4.34348506 4.12863189 5.01616378 3.4576741 3.87409766
## [88,] 4.10264749 4.92515845 4.75072128 5.71029875 4.0963684 4.40480612
## [89,] 4.73950845 5.51699750 5.38467680 6.41456035 4.7457875 4.94410770
## [90,] 5.38136350 6.11429069 6.02517524 7.12319942 5.4001016 5.48764670
## [91,] 6.02258586 6.71232371 6.66688983 7.83047295 6.0534876 6.03106829
## [92,] 6.65762465 7.30643523 7.30455540 8.53071321 6.7002026 6.57007047
## [93,] 7.28107440 7.89207160 7.93303220 9.21839546 7.3346571 7.10045516
## [94,] 7.88774209 8.46483965 8.54736765 9.88820331 7.9514845 7.61817734
## [95,] 8.47271078 9.02055686 9.14285478 10.53509076 8.5456076 8.11939188
## [96,] 9.03139877 9.55529817 9.71508687 11.15433999 9.1123005 8.60049707
## [97,] 9.55961351 10.06543883 10.26000723 11.74161409 9.6472442 9.05817445
## [98,] 10.05359956 10.54769251 10.77395361 12.29300411 10.1465772 9.48942433
## [99,] 10.51007969 10.99914441 11.25369645 12.80506949 10.6069380 9.89159641
## [100,] 10.92628880 11.41727869 11.69647060 13.27487165 11.0255003 10.26241524
## [101,] 11.30000000 11.80000000 12.10000000 13.70000000 11.4000000 10.60000000
## ys ys ys ys ys ys
## [1,] 10.10000000 13.0000000 12.1000000 11.30000000 10.8000000 12.10000000
## [2,] 10.43545699 13.3589662 12.4259931 11.62503718 11.0812811 12.41639254
## [3,] 10.73738076 13.6686181 12.6996557 11.90833805 11.3213933 12.68637967
## [4,] 11.00496929 13.9283737 12.9205756 12.14928538 11.5198897 12.90948020
## [5,] 11.23780894 14.1382632 13.0889821 12.34775420 11.6768130 13.08577722
## [6,] 11.43586590 14.2989123 13.2057281 12.50409926 11.7926817 13.21590266
## [7,] 11.59947244 14.4115171 13.2722623 12.61913568 11.8684708 13.30101381
## [8,] 11.72930795 14.4778100 13.2905936 12.69411315 11.9055849 13.34276242
## [9,] 11.82637546 14.5000191 13.2632476 12.73068415 11.9058259 13.34325682
## [10,] 11.89197367 14.4808196 13.1932153 12.73086667 11.8713551 13.30501777
## [11,] 11.92766539 14.4232801 13.0838960 12.69700216 11.8046508 13.23092873
## [12,] 11.93524261 14.3308031 12.9390345 12.63170936 11.7084612 13.12418136
## [13,] 11.91668895 14.2070614 12.7626544 12.53783476 11.5857549 12.98821721
## [14,] 11.87414006 14.0559318 12.5589872 12.41840054 11.4396678 12.82666653
## [15,] 11.80984269 13.8814257 12.3324006 12.27655084 11.2734492 12.64328512
## [16,] 11.72611303 13.6876203 12.0873242 12.11549716 11.0904067 12.44189036
## [17,] 11.62529504 13.4785884 11.8281772 11.93846393 10.8938517 12.22629735
## [18,] 11.50971945 13.2583301 11.5592956 11.74863490 10.6870449 12.00025619
## [19,] 11.38166407 13.0307077 11.2848635 11.54910141 10.4731445 11.76739151
## [20,] 11.24331608 12.7993824 11.0088471 11.34281326 10.2551573 11.53114502
## [21,] 11.09673688 12.5677566 10.7349335 11.13253293 10.0358917 11.29472218
## [22,] 10.94383006 12.3389216 10.4664753 10.92079401 9.8179168 11.06104369
## [23,] 10.78631294 12.1156103 10.2064415 10.70986428 9.6035251 10.83270261
## [24,] 10.62569231 11.9001581 9.9573757 10.50171419 9.3947006 10.61192777
## [25,] 10.46324445 11.6944708 9.7213622 10.29799115 9.1930934 10.40055407
## [26,] 10.30000000 11.5000000 9.5000000 10.10000000 9.0000000 10.20000000
## [27,] 10.13673375 11.3177277 9.2943866 9.90868993 8.8163503 10.01125285
## [28,] 9.97395949 11.1481587 9.1051097 9.72464814 8.6427012 9.83486172
## [29,] 9.81193011 10.9913224 8.9322486 9.54810013 8.4792372 9.67093846
## [30,] 9.65064264 10.8467823 8.7753841 9.37891671 8.3257775 9.51916639
## [31,] 9.48984851 10.7136547 8.6336179 9.21662757 8.1817897 9.37881682
## [32,] 9.32906841 10.5906351 8.5056001 9.06044103 8.0464099 9.24877279
## [33,] 9.16761175 10.4760320 8.3895643 8.90926980 7.9184688 9.12755990
## [34,] 9.00460034 10.3678081 8.2833706 8.76176212 7.7965228 9.01338341
## [35,] 8.83899571 10.2636276 8.1845550 8.61633780 7.6788909 8.90417122
## [36,] 8.66962972 10.1609088 8.0903845 8.47122860 7.5636952 8.79762180
## [37,] 8.49523795 10.0568818 7.9979174 8.32452210 7.4489052 8.69125638
## [38,] 8.31449511 9.9486491 7.9040669 8.17420849 7.3323852 8.58247447
## [39,] 8.12605209 9.8332497 7.8056677 8.01822927 7.2119432 8.46861172
## [40,] 7.92857375 9.7077236 7.6995445 7.85452726 7.0853818 8.34699925
## [41,] 7.72077702 9.5691781 7.5825804 7.68109679 6.9505488 8.21502337
## [42,] 7.50146845 9.4148520 7.4517854 7.49603353 6.8053876 8.07018464
## [43,] 7.26958072 9.2421790 7.3043622 7.29758273 6.6479858 7.91015540
## [44,] 7.02420728 9.0488477 7.1377696 7.08418542 6.4766226 7.73283469
## [45,] 6.76463471 8.8328582 6.9497821 6.85452146 6.2898119 7.53639960
## [46,] 6.49037202 8.5925732 6.7385438 6.60754886 6.0863426 7.31935226
## [47,] 6.20117650 8.3267642 6.5026167 6.34253860 5.8653140 7.08056162
## [48,] 5.89707559 8.0346502 6.2410223 6.05910443 5.6261662 6.81929924
## [49,] 5.57838431 7.7159299 5.9532757 5.75722690 5.3687051 6.53526853
## [50,] 5.24571800 7.3708058 5.6394113 5.43727146 5.0931208 6.22862682
## [51,] 4.90000000 7.0000000 5.3000000 5.10000000 4.8000000 5.90000000
## [52,] 4.54246418 6.6047615 4.9361575 4.74657575 4.4903318 5.55048921
## [53,] 4.17465209 6.1868644 4.5495435 4.37856133 4.1655061 5.18166960
## [54,] 3.79840487 5.7485981 4.1423516 3.99790997 3.8273056 4.79558104
## [55,] 3.41584977 5.2927476 3.7172899 3.60694985 3.4778911 4.39471084
## [56,] 3.02938168 4.8225659 3.2775535 3.20836192 3.1197795 3.98196872
## [57,] 2.64163972 4.3417386 2.8267872 2.80515138 2.7558162 3.56065443
## [58,] 2.25547922 3.8543403 2.3690416 2.40061322 2.3891414 3.13441834
## [59,] 1.87393957 3.3647842 1.9087210 1.99829232 2.0231506 2.70721572
## [60,] 1.50020835 2.8777651 1.4505253 1.60193878 1.6614503 2.28325525
## [61,] 1.13758219 2.3981981 0.9993856 1.21545902 1.3078104 1.86694264
## [62,] 0.78942507 1.9311510 0.5603958 0.84286337 0.9661115 1.46282016
## [63,] 0.45912450 1.4817750 0.1387401 0.48821111 0.6402909 1.07550297
## [64,] 0.15004648 1.0552319 -0.2603817 0.15555359 0.3342863 0.70961329
## [65,] -0.13451037 0.6566202 -0.6318309 -0.15112357 0.0519781 0.36971336
## [66,] -0.39136062 0.2909015 -0.9706058 -0.42795834 -0.2028679 0.06023826
## [67,] -0.61747706 -0.0371731 -1.2719178 -0.67126938 -0.4266572 -0.21457037
## [68,] -0.81003447 -0.3231334 -1.5312642 -0.87761136 -0.6160213 -0.45072873
## [69,] -0.96645124 -0.5628581 -1.7444987 -1.04382777 -0.7678709 -0.64457227
## [70,] -1.08442824 -0.7526381 -1.9078965 -1.16710032 -0.8794443 -0.79281325
## [71,] -1.16198447 -0.8892348 -2.0182151 -1.24499411 -0.9483529 -0.89259356
## [72,] -1.19748876 -0.9699323 -2.0727474 -1.27549806 -0.9726209 -0.94153175
## [73,] -1.18968710 -0.9925821 -2.0693686 -1.25705963 -0.9507204 -0.93776385
## [74,] -1.13772516 -0.9556406 -2.0065749 -1.18861357 -0.8816000 -0.87997705
## [75,] -1.04116561 -0.8581984 -1.8835127 -1.06960408 -0.7647063 -0.76743582
## [76,] -0.90000000 -0.7000000 -1.7000000 -0.90000000 -0.6000000 -0.60000000
## [77,] -0.71465491 -0.4814553 -1.4565372 -0.68030286 -0.3879632 -0.37813460
## [78,] -0.48599235 -0.2036412 -1.1543089 -0.41154752 -0.1296006 -0.10291100
## [79,] -0.21530427 0.1317058 -0.7951757 -0.09529548 0.1735675 0.22400030
## [80,] 0.09569865 0.5222070 -0.3816561 0.26637924 0.5195185 0.60034555
## [81,] 0.44490390 0.9648671 0.0831005 0.67091125 0.9057491 1.02331181
## [82,] 0.82981944 1.4561093 0.5953505 1.11527191 1.3293030 1.48955897
## [83,] 1.24760108 1.9918177 1.1508005 1.59600383 1.7868048 1.99525934
## [84,] 1.69508463 2.5673886 1.7446608 2.10926142 2.2745007 2.53614405
## [85,] 2.16882228 3.1777877 2.3717044 2.65085675 2.7883036 3.10755575
## [86,] 2.66512270 3.8176130 3.0263339 3.21631022 3.3238436 3.70450682
## [87,] 3.18009437 4.4811642 3.7026523 3.80090517 3.8765220 4.32174210
## [88,] 3.70969143 5.1625145 4.3945386 4.39974564 4.4415690 4.95380535
## [89,] 4.24976137 5.8555867 5.0957268 5.00781660 5.0141027 5.59510846
## [90,] 4.79609393 6.5542304 5.7998858 5.62004548 5.5891909 6.24000227
## [91,] 5.34447056 7.2523000 6.5007012 6.23136438 6.1619124 6.88284801
## [92,] 5.89071356 7.9437327 7.1919552 6.83677192 6.7274179 7.51808839
## [93,] 6.43073431 8.6226243 7.8676064 7.43139373 7.2809906 8.14031714
## [94,] 6.96057989 9.2833027 8.5218655 8.01054094 7.8181037 8.74434607
## [95,] 7.47647745 9.9203975 9.1492673 8.56976560 8.3344751 9.32526864
## [96,] 7.97487557 10.5289050 9.7447378 9.10491232 8.8261186 9.87851912
## [97,] 8.45248220 11.1042465 10.3036554 9.61216544 9.2893900 10.39992644
## [98,] 8.90629857 11.6423217 10.8219049 10.08809092 9.7210291 10.88576200
## [99,] 9.33364854 12.1395526 11.2959235 10.52967248 10.1181943 11.33278075
## [100,] 9.73220317 12.5929218 11.7227393 10.93434146 10.4784922 11.73825493
## [101,] 10.10000000 13.0000000 12.1000000 11.30000000 10.8000000 12.10000000
## ys ys ys ys ys ys
## [1,] 12.20000000 12.300000000 10.4000000 12.3000000 12.5000000 12.00000000
## [2,] 12.52658505 12.595978321 10.6999217 12.6460134 12.8316809 12.30245470
## [3,] 12.80202127 12.842496336 10.9582172 12.9419744 13.1098358 12.55581819
## [4,] 13.02588941 13.039221099 11.1743956 13.1873549 13.3340626 12.75973051
## [5,] 13.19840720 13.186431588 11.3484757 13.3822418 13.5046235 12.91444226
## [6,] 13.32041116 13.285000959 11.4809716 13.5273202 13.6224259 13.02079701
## [7,] 13.39332931 13.336370168 11.5728721 13.6238475 13.6889939 13.08020497
## [8,] 13.41914547 13.342513426 11.6256130 13.6736196 13.7064312 13.09460865
## [9,] 13.40035559 13.305896075 11.6410427 13.6789297 13.6773750 13.06644077
## [10,] 13.33991692 13.229425594 11.6213827 13.6425198 13.6049431 12.99857548
## [11,] 13.24119088 13.116396556 11.5691830 13.5675265 13.4926745 12.89427338
## [12,] 13.10788055 12.970430424 11.4872726 13.4574209 13.3444637 12.75712150
## [13,] 12.94396379 12.795411180 11.3787075 13.3159457 13.1644913 12.59096903
## [14,] 12.75362310 12.595417833 11.2467152 13.1470474 12.9571503 12.39985999
## [15,] 12.54117337 12.374654883 11.0946378 12.9548079 12.7269714 12.18796381
## [16,] 12.31098866 12.137381866 10.9258746 12.7433740 12.4785457 11.95950504
## [17,] 12.06742915 11.887843114 10.7438241 12.5168881 12.2164494 11.71869323
## [18,] 11.81476949 11.630198829 10.5518281 12.2794195 11.9451682 11.46965413
## [19,] 11.55712972 11.368458595 10.3531165 12.0348982 11.6690259 11.21636337
## [20,] 11.29840973 11.106418348 10.1507560 11.7870520 11.3921154 10.96258354
## [21,] 11.04222839 10.847601829 9.9476018 11.5393487 11.1182357 10.71180578
## [22,] 10.79186832 10.595207408 9.7462541 11.2949429 10.8508339 10.46719674
## [23,] 10.55022711 10.352061136 9.5490192 11.0566291 10.5929545 10.23155173
## [24,] 10.31977576 10.120576730 9.3578767 10.8268018 10.3471956 10.00725488
## [25,] 10.10252501 9.902723113 9.1744528 10.6074235 10.1156743 9.79624673
## [26,] 9.90000000 9.700000000 9.0000000 10.4000000 9.9000000 9.60000000
## [27,] 9.71322379 9.513421891 8.8353840 10.2055642 9.7012569 9.41950362
## [28,] 9.54270972 9.343510682 8.6810772 10.0246691 9.5199962 9.25525548
## [29,] 9.38846296 9.190296986 8.5371601 9.8573887 9.3562378 9.10726384
## [30,] 9.24999102 9.053330107 8.4033287 9.7033276 9.2094807 8.97505741
## [31,] 9.12632302 8.931696463 8.2789101 9.5616400 9.0787236 8.85770381
## [32,] 9.01603750 8.824046122 8.1628834 9.4310549 8.9624934 8.75383623
## [33,] 8.91729811 8.728626987 8.0539083 9.3099107 8.8588826 8.66168762
## [34,] 8.82789671 8.643326050 7.9503582 9.1961960 8.7655940 8.57913209
## [35,] 8.74530302 8.565716985 7.8503594 9.0875966 8.6799925 8.50373246
## [36,] 8.66672010 8.493113302 7.7518342 8.9815484 8.5991630 8.43279353
## [37,] 8.58914464 8.422626146 7.6525483 8.8752943 8.5199730 8.36341987
## [38,] 8.50943104 8.351225777 7.5501608 8.7659460 8.4391394 8.29257735
## [39,] 8.42435830 8.275805690 7.4422769 8.6505465 8.3532983 8.21715726
## [40,] 8.33069844 8.193248319 7.3265011 8.5261362 8.2590763 8.13404204
## [41,] 8.22528552 8.100491191 7.2004912 8.3898177 8.1531623 8.04017142
## [42,] 8.10508378 7.994592456 7.0620119 8.2388211 8.0323788 7.93260793
## [43,] 7.96725417 7.872794658 6.9089866 8.0705669 7.8937509 7.80860069
## [44,] 7.80921775 7.732585701 6.7395469 7.8827264 7.7345727 7.66564634
## [45,] 7.62871509 7.571755956 6.5520791 7.6732779 7.5524691 7.50154606
## [46,] 7.42386075 7.388450558 6.3452664 7.4405585 7.3454529 7.31445791
## [47,] 7.19319160 7.181215989 6.1181266 7.1833096 7.1119746 7.10294329
## [48,] 6.93570845 6.949040145 5.8700445 6.9007165 6.8509668 6.86600700
## [49,] 6.65091012 6.691385188 5.6007978 6.5924403 6.5618788 6.60312998
## [50,] 6.33881933 6.408212604 5.3105774 6.2586423 6.2447045 6.31429433
## [51,] 6.00000000 6.100000000 5.0000000 5.9000000 5.9000000 6.00000000
## [52,] 5.63556552 5.767749305 4.6701141 5.5177142 5.5288926 5.66127293
## [53,] 5.24717790 5.412986205 4.3223988 5.1135081 5.1330800 5.29966435
## [54,] 4.83703773 5.037750736 3.9587550 4.6896170 4.7148198 4.91724133
## [55,] 4.40786486 4.644579140 3.5814897 4.2487689 4.2769099 4.51656847
## [56,] 3.96287042 4.236477215 3.1932930 3.7941580 3.8226591 4.10068117
## [57,] 3.50572010 3.816885518 2.7972087 3.3294082 3.3558492 3.67305071
## [58,] 3.04048968 3.389636927 2.3965982 2.8585308 2.8806887 3.23754170
## [59,] 2.57161302 2.958907182 1.9950991 2.3858736 2.4017590 2.79836248
## [60,] 2.10382368 2.529159147 1.5965786 1.9160649 1.9239533 2.36000926
## [61,] 1.64209069 2.105081618 1.2050816 1.4539517 1.4524105 1.92720479
## [62,] 1.19154976 1.691523623 0.8247764 1.0045331 0.9924428 1.50483255
## [63,] 0.75743071 1.293425210 0.4598965 0.5728907 0.5494613 1.09786736
## [64,] 0.34498241 0.915745777 0.1146808 0.1641162 0.1288971 0.71130362
## [65,] -0.04060368 0.563391070 -0.2066868 -0.2167619 -0.2638779 0.35008214
## [66,] -0.39427024 0.241139960 -0.5001391 -0.5648522 -0.6236307 0.01901679
## [67,] -0.71116975 -0.046427855 -0.7617854 -0.8754729 -0.9453458 -0.27727797
## [68,] -0.98673811 -0.295002086 -0.9879699 -1.1442228 -1.2243022 -0.53445739
## [69,] -1.21676487 -0.500608948 -1.1753276 -1.3670485 -1.4561458 -0.74851372
## [70,] -1.39745914 -0.659674034 -1.3208368 -1.5403077 -1.6369586 -0.91583923
## [71,] -1.52550996 -0.769080003 -1.4218664 -1.6608269 -1.7633207 -1.03328395
## [72,] -1.59814038 -0.826218136 -1.4762195 -1.7259537 -1.8323673 -1.09820746
## [73,] -1.61315425 -0.829032971 -1.4821699 -1.7336009 -1.8418369 -1.10852357
## [74,] -1.56897494 -0.776059271 -1.4384927 -1.6822844 -1.7901114 -1.06273742
## [75,] -1.46467557 -0.666450739 -1.3444887 -1.5711512 -1.6762478 -0.95997436
## [76,] -1.30000000 -0.500000000 -1.2000000 -1.4000000 -1.5000000 -0.80000000
## [77,] -1.07537435 -0.277149517 -1.0054198 -1.1692918 -1.2618304 -0.58323124
## [78,] -0.79190889 0.001006777 -0.7616933 -0.8801517 -0.9629120 -0.31073802
## [79,] -0.45139009 0.332731179 -0.4703108 -0.5343605 -0.6051202 0.01576432
## [80,] -0.05626308 0.715659164 -0.1332941 -0.1343384 -0.1910141 0.39393186
## [81,] 0.39039540 1.146825362 0.2468254 0.3168818 0.2761915 0.82081801
## [82,] 0.88491309 1.622698192 0.6670358 0.8156895 0.7926635 1.29290809
## [83,] 1.42306673 2.139222660 1.1238805 1.3579389 1.3539975 1.80616203
## [84,] 2.00013467 2.691870693 1.6134999 1.9390007 1.9552721 2.35606466
## [85,] 2.61095638 3.275698274 2.1316793 2.5538186 2.5911110 2.93768280
## [86,] 3.24999833 3.885408524 2.6739012 3.1969735 3.2557520 3.54572830
## [87,] 3.91142505 4.515419807 3.2354027 3.8627516 3.9431204 4.17462608
## [88,] 4.58917447 5.159937834 3.8112352 4.5452176 4.6469080 4.81858626
## [89,] 5.27703620 5.813030700 4.3963270 5.2382899 5.3606543 5.47167913
## [90,] 5.96873187 6.468705728 4.9855479 5.9358179 6.0778302 6.12791201
## [91,] 6.65799606 7.120986983 5.5737734 6.6316605 6.7919226 6.78130676
## [92,] 7.33865682 7.763992285 6.1559494 7.3197636 7.4965177 7.42597681
## [93,] 8.00471444 8.392008599 6.7271552 7.9942363 8.1853831 8.05620256
## [94,] 8.65041741 8.999564652 7.2826642 8.6494239 8.8525473 8.66650402
## [95,] 9.27033432 9.581499731 7.8180017 9.2799777 9.4923740 9.25170963
## [96,] 9.85942082 10.133027616 8.3289982 9.8809197 10.0996321 9.80702027
## [97,] 10.41308046 10.649794739 8.8118388 10.4477011 10.6695588 10.32806743
## [98,] 10.92721868 11.127931690 9.2631062 10.9762554 11.1979156 10.81096483
## [99,] 11.39828905 11.564097353 9.6798182 11.4630422 11.6810370 11.25235256
## [100,] 11.82333123 11.955515022 10.0594584 11.9050853 12.1158690 11.64943330
## [101,] 12.20000000 12.300000000 10.4000000 12.3000000 12.5000000 12.00000000
## ys ys ys ys
## [1,] 10.70000000 11.50000000 11.9000000 10.70000000
## [2,] 10.99403735 11.80482029 12.2142235 11.00011830
## [3,] 11.24726093 12.06524324 12.4777307 11.25899329
## [4,] 11.45920002 12.28079756 12.6901217 11.47610413
## [5,] 11.62989003 12.45155026 12.8516135 11.65141993
## [6,] 11.75985855 12.57809191 12.9630230 11.78538681
## [7,] 11.85010437 12.66151439 13.0257405 11.87890821
## [8,] 11.90206967 12.70338145 13.0416953 11.93331873
## [9,] 11.91760598 12.70569274 13.0133142 11.95035201
## [10,] 11.89893444 12.67084169 12.9434720 11.93210316
## [11,] 11.84860104 12.60156828 12.8354372 11.88098636
## [12,] 11.76942755 12.50090710 12.6928116 11.79968844
## [13,] 11.66445909 12.37213187 12.5194659 11.69111906
## [14,] 11.53690891 12.21869714 12.3194726 11.55835838
## [15,] 11.39010169 12.04417820 12.0970361 11.40460314
## [16,] 11.22741581 11.85221014 11.8564225 11.23311184
## [17,] 11.05222596 11.64642701 11.6018895 11.04715008
## [18,] 10.86784668 11.43040217 11.3376169 10.84993686
## [19,] 10.67747791 11.20759057 11.0676405 10.64459266
## [20,] 10.48415342 10.98127413 10.7957887 10.43409021
## [21,] 10.29069278 10.75451088 10.5256239 10.22120863
## [22,] 10.09965783 10.53008874 10.2603893 10.00849176
## [23,] 9.91331422 10.31048468 10.0029617 9.79821125
## [24,] 9.73359858 10.09782983 9.7558111 9.59233499
## [25,] 9.56209201 9.89388114 9.5209683 9.39250141
## [26,] 9.40000000 9.70000000 9.3000000 9.20000000
## [27,] 9.24813941 9.51713803 9.0939928 9.01575829
## [28,] 9.10693242 9.34583042 8.9035451 8.84033559
## [29,] 8.97640764 9.18619679 8.7287688 8.67392336
## [30,] 8.85620840 9.03794942 8.5692981 8.51635244
## [31,] 8.74560781 8.90040891 8.4243083 8.36710666
## [32,] 8.64353066 8.77252681 8.2925417 8.22534289
## [33,] 8.54858145 8.65291482 8.1723413 8.08991691
## [34,] 8.45907830 8.53988012 8.0616920 7.95941481
## [35,] 8.37309199 8.43146624 7.9582673 7.83218931
## [36,] 8.28848955 8.32549863 7.8594828 7.70640032
## [37,] 8.20298174 8.21963426 7.7625529 7.58005920
## [38,] 8.11417339 8.11141451 7.6645522 7.45107575
## [39,] 8.01961595 7.99832011 7.5624792 7.31730729
## [40,] 7.91686134 7.87782765 7.4533215 7.17660899
## [41,] 7.80351606 7.74746632 7.3341217 7.02688439
## [42,] 7.67729482 7.60487414 7.2020421 6.86613560
## [43,] 7.53607258 7.44785266 7.0544288 6.69251193
## [44,] 7.37793441 7.27441914 6.8888714 6.50435641
## [45,] 7.20122194 7.08285547 6.7032604 6.30024929
## [46,] 7.00457597 6.87175281 6.4958387 6.07904771
## [47,] 6.78697423 6.64005129 6.2652480 5.83992097
## [48,] 6.54776377 6.38707406 6.0105684 5.58238063
## [49,] 6.28668742 6.11255503 5.7313507 5.30630508
## [50,] 6.00390371 5.81665992 5.4276417 5.01195793
## [51,] 5.70000000 5.50000000 5.1000000 4.70000000
## [52,] 5.37599851 5.16363852 4.7495041 4.37149463
## [53,] 5.03335509 4.80908940 4.3777518 4.02790609
## [54,] 4.67395062 4.43830838 3.9868502 3.67109122
## [55,] 4.30007535 4.05367646 3.5793972 3.30328412
## [56,] 3.91440603 3.65797607 3.1584552 2.92707437
## [57,] 3.51997641 3.25436012 2.7275152 2.54537885
## [58,] 3.12014149 2.84631451 2.2904550 2.16140764
## [59,] 2.71853584 2.43761444 1.8514891 1.77862445
## [60,] 2.31902687 2.03227547 1.4151127 1.40070229
## [61,] 1.92566354 1.63449969 0.9860409 1.03147482
## [62,] 1.54262144 1.24861815 0.5691425 0.67488429
## [63,] 1.17414489 0.87903021 0.1693705 0.33492681
## [64,] 0.82448711 0.53014078 -0.2083089 0.01559575
## [65,] 0.49784931 0.20629654 -0.5589901 -0.27917587
## [66,] 0.19831961 -0.08827812 -0.8779007 -0.54557302
## [67,] -0.07018727 -0.34954418 -1.1604743 -0.77995553
## [68,] -0.30398850 -0.57370935 -1.4024202 -0.97891332
## [69,] -0.49968907 -0.75728653 -1.5997909 -1.13931902
## [70,] -0.65423420 -0.89714864 -1.7490443 -1.25837727
## [71,] -0.76495736 -0.99057886 -1.8471021 -1.33366981
## [72,] -0.82962322 -1.03531546 -1.8914001 -1.36319581
## [73,] -0.84646486 -1.02959062 -1.8799335 -1.34540660
## [74,] -0.81421460 -0.97216247 -1.8112937 -1.27923437
## [75,] -0.73212787 -0.86233995 -1.6846959 -1.16411434
## [76,] -0.60000000 -0.70000000 -1.5000000 -1.00000000
## [77,] -0.41817528 -0.48559683 -1.2577204 -0.78737122
## [78,] -0.18754843 -0.22016307 -0.9590277 -0.52723497
## [79,] 0.09044171 0.09469727 -0.6057406 -0.22111871
## [80,] 0.41382622 0.45682386 -0.2003088 0.12894352
## [81,] 0.78012762 0.86352311 0.2542135 0.52043216
## [82,] 1.18638856 1.31159868 0.7542026 0.95037005
## [83,] 1.62920739 1.79738922 1.2955083 1.41535673
## [84,] 2.10477987 2.31681270 1.8735048 1.91160872
## [85,] 2.60894671 2.86541659 2.4831479 2.43500524
## [86,] 3.13724587 3.43843340 3.1190390 2.98113850
## [87,] 3.68496926 4.03084048 3.7754930 3.54536806
## [88,] 4.24722264 4.63742342 4.4466114 4.12287838
## [89,] 4.81898803 5.25284197 5.1263572 4.70873858
## [90,] 5.39518766 5.87169761 5.8086325 5.29796375
## [91,] 5.97074851 6.48860166 6.4873565 5.88557679
## [92,] 6.54066649 7.09824303 7.1565426 6.46666985
## [93,] 7.10006924 7.69545452 7.8103745 7.03646453
## [94,] 7.64427675 8.27527682 8.4432790 7.59036995
## [95,] 8.16885884 8.83301904 9.0499953 8.12403777
## [96,] 8.66968861 9.36431517 9.6256395 8.63341347
## [97,] 9.14299116 9.86517543 10.1657627 9.11478308
## [98,] 9.58538688 10.33203189 10.6664035 9.56481472
## [99,] 9.99392859 10.76177761 11.1241318 9.98059430
## [100,] 10.36613216 11.15179889 11.5360859 10.35965500
## [101,] 10.70000000 11.50000000 11.9000000 10.70000000par(old)Well, this is pretty, but I still have no idea how to interpret it!
Bubble Plot is a further Extension of the Scatter Plot
attach(mtcars) #attach the motor trends dataset
plot(wt,mpg,pch=16, main= "Bubble Plot", cex=hp/50,col=rainbow(8)[cyl]) #wt and mpg are x, y coordinates, hp is size.
points(wt,mpg,cex=hp/50)
From the lab worksheet: “Bubble plot of the mtcars dataset. Size of the bubble corresponds to hp(horse power) and color denotes cyl(cylinder). Green, blue, and red denote 4, 6 and 8 cylinders respectively. Therefore, this bubble plot actually represents information on four variables, i.e., four-dimension. We could see that these four variables (wt., mpg, hp and cyl) are all correlated!
Heart Attack Dataset
Mosaic plot can display correlation between multiple categorical variables
heartatk <- read.csv("heartatk4R.csv")
attach(heartatk)
table(SEX,DIED)## DIED
## SEX 0 1
## F 4298 767
## M 7136 643a <- table(SEX,DIED) #tabulates SEX and DIED and generate counts in a 2d array.
mosaicplot(a, main = "Mosaic Plot by Two Factors", color = T)
From Worksheet: The size of the four blocks in the figure represents the counts of the corresponding combination. Also note that the blocks are also color-coded for different combination. Horizontally, the blocks are divided by SEX, we could observe that there are more men in this dataset than women. Vertically, the blocks are divided by DIED (1 for died in hospital). We could conclude that regardless of gender, only a small proportion of patients died in hospital. Between men and women, we also see that the percentage of women that died in hospital is definitely higher than that in men. This is a rather unusual observation.”
We could use mosaic plots for multiple factors.
a = table(SEX, DIED, DRG)
mosaicplot(a, main="4-factor mosaic plot", color=T)
Everyone who took drug 123 died. Perhaps this drugs is used for palliative care for patients who had a DNR order. Therefore, life saving measures were not taken (or continued) at the time of drug 123 administration.
NOPE. Although that was a great guess, I discovered that “DRG” does not stand for “Drug”, it reflects the DRG code of each case–Diagnosis Related Group Code List. DRG has three possible numbers, 121 for survivors with cardiovascular complications, 122 for survivors without complications, and 123 for patients who died. So it makes sense that all patients with DRG 123 also died. The data overlaps here and is a bit redundant.
Titanic Dataset
? Titanic # this leads you to information about the famous Titanic dataset.
mosaicplot(~ Sex + Age + Survived, data = Titanic, color = T) # mosaic plot by SEX, Age, Survived.
mosaicplot(Titanic, color=T) # mosaic plot of the whole Titanic dataset
Did men and women survived by equal proportion? Did girls and women survived by equal proportion?
A larger proportion of women survived than did men. But a larger number of boys(child) survived than girls: this is because there were more boys on the ship. The proportion of boys who died:survived is still higher than girls. The proportion of women who survived is higher than the proportion of young girls.