Final Exam Stats 1
Joshua Reyna
12/7/2020
summary(cars)## speed dist
## Min. : 4.0 Min. : 2.00
## 1st Qu.:12.0 1st Qu.: 26.00
## Median :15.0 Median : 36.00
## Mean :15.4 Mean : 42.98
## 3rd Qu.:19.0 3rd Qu.: 56.00
## Max. :25.0 Max. :120.00library(ggplot2)
library(readr)
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## extractlibrary(haven)
psid_cds <- read_dta("psid_cds.dta")
View(psid_cds)##1). Recode tenure so that 1=owning a house, 0=renting a house, and missing is set to missing (NA)
attach(psid_cds)
str(tenure)## num [1:4243] 5 5 1 1 1 1 1 1 5 5 ...
## - attr(*, "label")= chr "housing tenure (own or rent)"
## - attr(*, "format.stata")= chr "%9.0g"psid2 <- psid_cds %>%
mutate(
tenure2 = ifelse(tenure == 1, "own",
ifelse(tenure == 5 , "rent", NA )))psid3 <- psid2 %>%
mutate(
crace4 = ifelse(crace3 == 1, "white",
ifelse(crace3 == 2 , "black",
ifelse(crace3 == 3 , "other", NA ))))psid5 <- psid3 %>%
mutate(
csex2 = ifelse(csex == 1, "male",
ifelse(csex == 2 , "female", NA )))psid6 <- psid5 %>%
mutate(
lbwyes = ifelse(lbw == 1, "yes",
ifelse(lbw == 0, "no", NA )))psid7 <- psid6 %>%
mutate(
smkyes = ifelse(smk == 1, "yes",
ifelse(smk == 0 , "no", NA )))##2).Check whether crace3 (child’s race) variable is a factor variable.
attach(psid_cds)## The following objects are masked from psid_cds (pos = 3):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, csex, educ,
## emp, emp2, lbw, lifesat, marpi, smk, tenure, tkidsstr(crace3)## dbl+lbl [1:4243] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
## @ label : chr "RECODE of g3race"
## @ format.stata: chr "%9.0g"
## @ labels : Named num [1:3] 1 2 3
## ..- attr(*, "names")= chr [1:3] "White" "Black" "other"##3). Run a test to see if there are significant differences in body mass index among kids of different racial backgrounds.
psid5%>%
group_by(crace4)%>%
summarise(means=mean(cbmi, na.rm=T), sds=sd(cbmi, na.rm=T), n=n())## `summarise()` ungrouping output (override with `.groups` argument)## # A tibble: 4 x 4
## crace4 means sds n
## <chr> <dbl> <dbl> <int>
## 1 black 16.8 9.23 1656
## 2 other 15.4 10.2 196
## 3 white 16.2 8.14 2190
## 4 <NA> 15.6 9.88 201m1<-aov(formula=cbmi~crace4, data=psid5)
anova(m1)## Analysis of Variance Table
##
## Response: cbmi
## Df Sum Sq Mean Sq F value Pr(>F)
## crace4 2 602 300.843 3.9695 0.01896 *
## Residuals 3935 298230 75.789
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1pairwise.t.test(x = psid5$cbmi,g = psid5$crace4,p.adjust.method = "bonf")##
## Pairwise comparisons using t tests with pooled SD
##
## data: psid5$cbmi and psid5$crace4
##
## black other
## other 0.102 -
## white 0.061 0.764
##
## P value adjustment method: bonferroni##H0= There is no difference in mean child bmi between races.
##HA= There are differences in mean child bmi between races.
## The anova analysis indicates there is a statistically significant difference in mean bmi between children of different races, we can reject the null in favor of the alternative which states there is a difference. The differences of which are displayed in the t-test, White children have a statistically significant difference in mean bmi compared to both other and black children. For black children there is no statistically significant difference in mean compared to other racial children.##4). Run a test to see if there is a significant difference in body mass index between girls and boys.
psid5%>%
group_by(csex2)%>%
summarise(means=mean(cbmi, na.rm=T), sds=sd(cbmi, na.rm=T), n=n())## `summarise()` ungrouping output (override with `.groups` argument)## # A tibble: 2 x 4
## csex2 means sds n
## <chr> <dbl> <dbl> <int>
## 1 female 16.3 8.98 2151
## 2 male 16.4 8.55 2092t.test(cbmi~csex2, data=psid5)##
## Welch Two Sample t-test
##
## data: cbmi by csex2
## t = -0.56235, df = 4125.5, p-value = 0.5739
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.6882736 0.3814424
## sample estimates:
## mean in group female mean in group male
## 16.29597 16.44939##H0= There is no difference in mean child bmi between sexes.
##HA= There are differences in mean child bmi between sexes.
## In terms of child bmi, there is a significant difference in mean bmi between child males and females. On average child males have a higher bmi. 5). Review relevant literature and identify three family socioeconomic variables from the variable list that are relevant to child’s body mass index. Be sure to cite at least TWO references to support your claim.
## adjfinc - Assari, S. 2018. Family Income Reduces RIsk Of Obesity For White But Not Black Children. Children 5(6):73
##smk - Williams, A. S., Ge, B., Petroski, G., Kruse, R. L., McElroy, J. A., & Koopman, R. J. (2018). Socioeconomic status and other factors associated with childhood obesity. The Journal of the American Board of Family Medicine, 31(4), 514–521.
## educ - Russell, C.G., Taki, S., Azadi, L. et al. A qualitative study of the infant feeding beliefs and behaviours of mothers with low educational attainment. BMC Pediatr 16, 69 (2016). ##6). Examine the means, medians, and standard deviation for variables you identified in 5). (
attach(psid5)## The following objects are masked from psid_cds (pos = 3):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, csex, educ,
## emp, emp2, lbw, lifesat, marpi, smk, tenure, tkids## The following objects are masked from psid_cds (pos = 4):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, csex, educ,
## emp, emp2, lbw, lifesat, marpi, smk, tenure, tkidsstat.desc(psid7$smkyes)## nbr.val nbr.null nbr.na min max range sum median
## NA NA NA NA NA NA NA NA
## mean SE.mean CI.mean var std.dev coef.var
## NA NA NA NA NA NAstat.desc(psid7$adjfinc)## x
## nbr.val 4.243000e+03
## nbr.null 2.600000e+01
## nbr.na 0.000000e+00
## min 0.000000e+00
## max 4.824656e+06
## range 4.824656e+06
## sum 2.349714e+08
## median 4.008882e+04
## mean 5.537859e+04
## SE.mean 1.699824e+03
## CI.mean.0.95 3.332546e+03
## var 1.225974e+10
## std.dev 1.107237e+05
## coef.var 1.999396e+00stat.desc(psid7$educ)## x
## nbr.val 4.198000e+03
## nbr.null 6.000000e+00
## nbr.na 4.500000e+01
## min 0.000000e+00
## max 2.000000e+01
## range 2.000000e+01
## sum 5.708500e+04
## median 1.300000e+01
## mean 1.359814e+01
## SE.mean 4.702938e-02
## CI.mean.0.95 9.220249e-02
## var 9.284981e+00
## std.dev 3.047127e+00
## coef.var 2.240840e-01##7). Estimate a regression model with all independent variables you identified in 5), and interpret the output of regression analysis.
mreg<-lm(formula =cbmi ~ adjfinc + educ + smkyes, data = psid7, na.action = na.exclude)
coef(mreg)## (Intercept) adjfinc educ smkyesyes
## 1.693946e+01 -4.072317e-06 -3.736071e-02 7.888047e-01summary(mreg)##
## Call:
## lm(formula = cbmi ~ adjfinc + educ + smkyes, data = psid7, na.action = na.exclude)
##
## Residuals:
## Min 1Q Median 3Q Max
## -17.607 -1.822 0.662 4.413 38.977
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.694e+01 6.678e-01 25.365 < 2e-16 ***
## adjfinc -4.072e-06 1.261e-06 -3.229 0.00125 **
## educ -3.736e-02 4.734e-02 -0.789 0.43006
## smkyesyes 7.888e-01 3.481e-01 2.266 0.02349 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.736 on 4079 degrees of freedom
## (160 observations deleted due to missingness)
## Multiple R-squared: 0.005205, Adjusted R-squared: 0.004473
## F-statistic: 7.114 on 3 and 4079 DF, p-value: 9.174e-05anova(mreg)## Analysis of Variance Table
##
## Response: cbmi
## Df Sum Sq Mean Sq F value Pr(>F)
## adjfinc 1 1098 1097.70 14.3833 0.0001513 ***
## educ 1 139 138.99 1.8212 0.1772397
## smkyes 1 392 391.98 5.1361 0.0234852 *
## Residuals 4079 311300 76.32
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1## According to the regression analysis conducted, there is a statistically significant association between mothers smoking habits, adjusted family income and childhood bmi. Overall as adjusted family income increases per unit value, childhood bmi lowers on average by -4.07, while mothers smoking who did smoke had children whose bmi was on average 7.88 higher than mothers who did not smoke, holding all other variables in the model constant.##8).Provide appropriate descriptive statistics for child’s age, sex, race, and low birth weight status. (3 points)
attach(psid5)## The following objects are masked from psid5 (pos = 3):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, crace4, csex,
## csex2, educ, emp, emp2, lbw, lifesat, marpi, smk, tenure, tenure2,
## tkids## The following objects are masked from psid_cds (pos = 4):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, csex, educ,
## emp, emp2, lbw, lifesat, marpi, smk, tenure, tkids## The following objects are masked from psid_cds (pos = 5):
##
## adjfinc, adjwlth1, adjwlth2, age, cage, cbmi, crace3, csex, educ,
## emp, emp2, lbw, lifesat, marpi, smk, tenure, tkidsstat.desc(psid7$cage)## x
## nbr.val 4.236000e+03
## nbr.null 0.000000e+00
## nbr.na 7.000000e+00
## min 1.000000e+00
## max 1.700000e+01
## range 1.600000e+01
## sum 3.630900e+04
## median 8.000000e+00
## mean 8.571530e+00
## SE.mean 6.974230e-02
## CI.mean.0.95 1.367315e-01
## var 2.060386e+01
## std.dev 4.539147e+00
## coef.var 5.295609e-01stat.desc(psid7$csex2)## nbr.val nbr.null nbr.na min max range sum median
## NA NA NA NA NA NA NA NA
## mean SE.mean CI.mean var std.dev coef.var
## NA NA NA NA NA NAstat.desc(psid7$csex)## x
## nbr.val 4.243000e+03
## nbr.null 0.000000e+00
## nbr.na 0.000000e+00
## min 1.000000e+00
## max 2.000000e+00
## range 1.000000e+00
## sum 6.394000e+03
## median 2.000000e+00
## mean 1.506953e+00
## SE.mean 7.676136e-03
## CI.mean.0.95 1.504924e-02
## var 2.500106e-01
## std.dev 5.000106e-01
## coef.var 3.318025e-01stat.desc(psid7$crace3)## x
## nbr.val 4.042000e+03
## nbr.null 0.000000e+00
## nbr.na 2.010000e+02
## min 1.000000e+00
## max 3.000000e+00
## range 2.000000e+00
## sum 6.090000e+03
## median 1.000000e+00
## mean 1.506680e+00
## SE.mean 9.265757e-03
## CI.mean.0.95 1.816599e-02
## var 3.470229e-01
## std.dev 5.890865e-01
## coef.var 3.909832e-01stat.desc(psid7$crace4)## nbr.val nbr.null nbr.na min max range sum median
## NA NA NA NA NA NA NA NA
## mean SE.mean CI.mean var std.dev coef.var
## NA NA NA NA NA NAstat.desc(psid7$lbwyes)## nbr.val nbr.null nbr.na min max range sum median
## NA NA NA NA NA NA NA NA
## mean SE.mean CI.mean var std.dev coef.var
## NA NA NA NA NA NA##9). Estimate another regression model with all the independent variables you identified in In addition to the three family socioeconomic background variables you identified from 5), previous research suggests that several demographic variables are also important predictors of body mass index, including child’s age, sex, race, and low birth weight status.
mreg2<-lm(formula =cbmi ~ adjfinc + educ + smkyes + cage + crace4 + csex2 + lbwyes, data = psid7, na.action = na.exclude)
coef(mreg2)## (Intercept) adjfinc educ smkyesyes cage
## 1.115192e+01 -5.739749e-06 4.550834e-03 5.080031e-01 6.531177e-01
## crace4other crace4white csex2male lbwyesyes
## -2.153261e+00 -1.913316e-01 1.304699e-01 -1.248490e-01summary(mreg2)##
## Call:
## lm(formula = cbmi ~ adjfinc + educ + smkyes + cage + crace4 +
## csex2 + lbwyes, data = psid7, na.action = na.exclude)
##
## Residuals:
## Min 1Q Median 3Q Max
## -22.916 -1.661 1.353 4.037 41.313
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.115e+01 7.349e-01 15.175 < 2e-16 ***
## adjfinc -5.740e-06 1.197e-06 -4.795 1.7e-06 ***
## educ 4.551e-03 4.735e-02 0.096 0.92344
## smkyesyes 5.080e-01 3.519e-01 1.444 0.14889
## cage 6.531e-01 3.014e-02 21.669 < 2e-16 ***
## crace4other -2.153e+00 6.583e-01 -3.271 0.00108 **
## crace4white -1.913e-01 2.943e-01 -0.650 0.51569
## csex2male 1.305e-01 2.719e-01 0.480 0.63131
## lbwyesyes -1.248e-01 4.761e-01 -0.262 0.79314
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.148 on 3592 degrees of freedom
## (642 observations deleted due to missingness)
## Multiple R-squared: 0.1207, Adjusted R-squared: 0.1187
## F-statistic: 61.63 on 8 and 3592 DF, p-value: < 2.2e-16anova(mreg2)## Analysis of Variance Table
##
## Response: cbmi
## Df Sum Sq Mean Sq F value Pr(>F)
## adjfinc 1 990 990.2 14.9153 0.0001144 ***
## educ 1 45 45.1 0.6801 0.4096042
## smkyes 1 139 138.7 2.0892 0.1484304
## cage 1 30829 30829.3 464.3950 < 2.2e-16 ***
## crace4 2 710 355.2 5.3503 0.0047848 **
## csex2 1 15 15.3 0.2306 0.6311210
## lbwyes 1 5 4.6 0.0688 0.7931405
## Residuals 3592 238458 66.4
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1##10). Interpret the coefficients of sex, child’s age and race variables from the model from 9).
## Model number 2's results indicate childrens sex, and white children do not have a statistically significant association with child hood bmi compared to black children. While the other racial based children and the children age does in fact have a statistically significant association with childhood bmi compared to black children. Being white had on average 1.91 less while other racial children had on average a lower bmi on average of 2.15 compared to black children respectively. Childrens age proved to have a statistically significant association with childhood bmi, which indicates as children per each unit increase in age their bmi will increase on average by 6.53, holding all other variables constant.##11). Compare the regression model from 7) to the more advanced model from 9), which model is preferred? Why? (Make sure you run proper test to support your claim.)
## According to the two models we have the adjusted r square of model two indicates it is a much better fit than the original less complex one.
## anova(mreg, mreg2) I would have done this, but instead i read the adjusted r square. I tried to run the anova, but got that error and couldn't find a reasonable solution, one of which said get rid of all my missing values, which i did in my regression items, didnt work.##12). Interpret the R-square and adjusted R-square from the preferred model.
## Model two indicates the variables in our model accounts for 12% of the variation of childhood obesity. More adequate items such as children race, age, and those included in model two increased the adjusted r2 but, it is still relatively low overall. Our adjusted r2 means the variables in the model are not that good of a fit.##13). Evaluate whether the preferred model violates any linear regression assumptions. If violation(s) exists in the preferred model, propose reasonable solution(s).
mreg2$residuals## 1 2 3 4 5
## -20.458324300 -14.580264922 4.544449865 2.909331223 4.987189175
## 6 7 8 9 10
## -1.043544503 1.015716759 1.519750178 3.153383270 -11.093498640
## 12 13 14 15 16
## 15.107819614 0.332760330 4.669373975 9.403877677 9.527794775
## 17 18 19 21 22
## 3.617617803 8.748368831 2.915781636 1.467412854 5.194014761
## 23 24 25 26 31
## 1.806427229 3.675694729 -2.382446807 9.651964840 2.075601435
## 32 33 34 35 36
## 7.155920186 -11.945740077 -1.260504775 1.998847589 -0.154982042
## 37 38 39 40 41
## 0.675537238 0.304421607 4.992955737 4.439838410 -17.321164496
## 43 45 46 47 48
## 20.344274420 -0.997800717 7.425105007 2.961810707 11.947788805
## 49 50 51 52 53
## -4.213434136 0.352695857 2.973027350 0.957036978 -13.463989816
## 54 55 56 57 58
## -14.770225234 0.570349165 -0.548263697 -1.707617586 -20.817049058
## 59 60 61 62 63
## 7.597210523 -1.712966068 2.280797752 3.584988259 -2.086835129
## 64 65 66 67 68
## 2.131871314 6.795654349 3.117761776 1.113377582 1.208847764
## 69 70 71 72 73
## -0.727857555 1.608508028 12.102273755 4.840769038 3.057396089
## 74 75 77 78 79
## -2.549893061 9.365497210 -1.631176938 3.336753712 12.146931257
## 80 81 82 83 84
## 3.055935161 -1.922124599 -12.845118054 0.982897631 1.299310402
## 85 86 87 88 89
## -0.748268777 3.372977454 7.172271031 -1.562140425 -14.236482279
## 90 91 93 94 95
## -0.848188557 3.345274382 -22.811759497 -14.045463461 -16.004816587
## 96 97 98 99 100
## -19.270405131 -1.669949677 -4.051951183 -0.394892300 -1.890234743
## 101 102 103 104 105
## -21.845143397 -19.885790271 1.645031883 8.712088022 1.005852986
## 106 107 108 109 110
## -0.812397866 -0.625822073 0.510882102 3.988478226 0.208270007
## 111 112 113 114 115
## -1.148789638 1.130213879 0.870861516 3.741805478 -13.252486628
## 116 117 118 119 120
## -15.342309655 4.126333543 -11.605284655 1.618857202 -22.055167995
## 121 122 124 125 126
## 2.612715174 6.440890832 -11.604260071 -10.829399862 2.813293238
## 127 128 129 130 131
## 1.976588301 4.542176081 -0.199177215 -1.692249824 -0.855544886
## 132 133 134 135 136
## 2.394154787 9.581777342 2.323423361 3.364070235 7.665863323
## 137 138 139 140 141
## 5.367979500 3.055507902 -11.286378489 0.095631046 0.007395458
## 142 143 145 146 147
## 4.170690521 -0.269957879 1.132641780 0.367053236 0.751394374
## 148 149 150 151 152
## 3.980278170 3.621310944 -10.989229458 6.326354867 5.856058313
## 153 154 156 157 158
## -1.617634824 1.716776060 0.053480998 15.237059199 6.198177197
## 159 160 161 164 165
## 8.639531257 -5.285409269 -2.239749219 -0.742784840 -2.298363828
## 166 167 168 169 170
## 2.475656246 -2.181402636 -15.766691147 1.558158659 2.496604297
## 171 172 173 174 175
## 4.214602220 4.543485444 -0.315571607 2.750017127 -1.318486215
## 176 177 178 179 180
## -2.730957240 -22.274369413 0.068786617 0.161392156 8.218450656
## 181 182 183 184 185
## -17.993369661 8.132714210 -2.557109200 3.567832089 -0.718556030
## 186 187 188 189 190
## 2.247032323 4.075207980 0.540797287 4.236830321 -1.937955028
## 191 192 193 194 195
## -0.069335840 5.373605660 5.046184286 2.675068655 2.715618213
## 196 197 198 199 200
## 5.405441622 5.042636065 -13.680804630 -11.744471003 -0.274157145
## 201 202 203 204 205
## 1.395163320 -19.259845712 -19.262421882 1.180035384 1.214447985
## 206 207 208 209 210
## -19.776203456 3.254294159 3.362030698 4.027618860 -14.602904720
## 211 212 213 214 215
## -15.909140137 -4.587919824 2.461256330 -3.151214504 3.079647609
## 216 217 218 219 220
## 4.085881882 0.713713568 3.481220768 3.228102678 6.887783476
## 221 222 223 224 225
## 2.560640571 0.232618251 1.933324674 1.541134386 1.516899139
## 226 227 228 229 230
## 0.479200481 4.381493199 1.185435516 -21.782806781 6.576040155
## 232 233 234 235 236
## 0.638397966 4.048252591 -1.662467836 0.852778532 1.989483660
## 237 240 241 242 243
## 3.881828048 -10.344561120 7.007849784 0.814085202 7.760129062
## 244 245 248 249 250
## -16.697484245 -13.307046659 -12.256130186 3.890124211 3.143241348
## 251 252 253 254 255
## -10.249052659 -0.144219106 4.819075193 -0.607222695 3.452128905
## 256 257 258 259 260
## 5.838949318 5.170638716 3.327697598 -19.059793669 -19.190263571
## 261 262 263 264 265
## 3.594174109 16.638729295 -2.759662837 -2.319016345 -2.829193699
## 266 267 268 269 270
## 1.040147136 1.426309391 4.037289358 -1.353148228 -12.361944180
## 271 272 273 274 278
## -19.465926887 -14.894102926 0.455129999 0.714483316 -21.895224533
## 279 280 281 282 283
## -20.066341308 -21.242106824 -16.147635056 -18.760105891 2.989233002
## 284 285 286 287 288
## 2.536115103 1.045213713 4.981919032 -11.638576103 9.797790921
## 289 290 291 292 293
## 1.081398601 2.127102156 3.223173345 1.563820409 3.051806815
## 294 295 296 297 298
## -14.081895531 2.661964376 3.647120794 -0.739963737 2.996741773
## 299 300 301 302 303
## 3.824917431 -20.355871138 -11.174204567 -11.174204567 -3.161747984
## 304 306 307 308 310
## 0.456037890 2.731802834 0.721123505 -2.268699141 2.397419080
## 311 312 313 314 315
## 1.954478535 -2.615574481 0.566426262 0.748330540 -1.486080917
## 316 317 318 319 321
## 4.367035647 -0.083382148 -0.921447209 0.315258300 4.900576421
## 322 323 324 325 326
## -1.484751890 -1.615221791 3.824375536 -1.105571641 1.724676919
## 327 328 329 330 331
## -0.505361834 0.514068789 0.354714899 -19.679229610 -16.283171165
## 332 333 334 335 336
## -18.372994193 6.972343633 7.154343422 6.442197717 -18.055659056
## 337 338 339 340 341
## -2.448613766 4.941208499 9.069385301 3.325329688 7.815060089
## 344 346 347 348 349
## 2.668179466 2.754401647 -2.094259723 22.880234511 4.088670401
## 350 351 353 354 355
## -0.243235793 -1.161234478 -13.447404596 1.119122009 4.031592081
## 356 357 358 359 360
## 4.633302344 2.404419501 1.991947522 2.070673374 -11.992621307
## 361 362 363 364 365
## -5.821578666 13.378421143 4.594702939 7.690762147 3.373065490
## 366 367 368 369 370
## -19.433123742 12.636735839 11.854338588 6.644160472 -1.640435608
## 371 373 374 375 376
## 0.820331484 0.526566520 -2.541947322 -1.726148918 3.157159913
## 378 379 380 381 382
## 3.040752215 -3.971783140 0.321981824 10.253158530 -4.284252831
## 383 384 386 387 388
## -12.645419722 -17.092394640 7.906756691 -0.033889801 -0.079707514
## 389 391 392 393 394
## 2.649176282 2.344067597 -3.030559387 3.465391984 -17.351678717
## 395 396 397 399 400
## -15.606928604 -13.517105577 2.079908802 3.248512207 18.133886358
## 402 403 404 405 407
## -15.244030737 0.830662435 -18.163101385 2.579463195 0.399449709
## 408 409 410 412 413
## 0.046332191 1.661210784 2.225149126 3.062542044 0.503188537
## 414 417 418 419 420
## 0.486775957 2.898475357 2.898475357 4.506341794 -21.054676414
## 421 422 423 424 425
## -16.482852453 -18.311735677 1.910305356 5.616540392 8.723200746
## 426 427 428 430 431
## 0.935711425 2.449790810 -2.040838558 1.130951199 5.452111224
## 432 434 435 436 437
## -0.688350698 5.050935306 9.207566364 -2.104616594 3.201618823
## 438 439 440 441 442
## 5.121527522 0.368556518 4.703674016 2.974733693 2.274732930
## 443 444 445 446 448
## -11.635444042 4.237399794 -0.521952569 4.955349482 -0.955413729
## 449 450 451 452 453
## 7.145812960 -12.654879081 6.616744532 0.519012607 7.108835635
## 454 455 456 457 458
## 0.727571864 3.478779824 2.945020167 0.485667041 -9.482428365
## 462 463 465 466 467
## 3.438435077 1.976879190 3.704890699 3.023504324 11.983245704
## 468 469 470 471 472
## 1.521715935 -1.196989554 -0.760284235 2.111538963 -0.054049199
## 473 474 475 476 477
## 0.433012566 4.128742739 2.022508084 3.363429231 -11.680744849
## 478 479 480 481 482
## 2.396607726 1.451433132 -11.928824655 -16.699055534 -1.741156069
## 483 484 485 486 487
## 4.877549039 0.620528802 3.358019340 -0.160593140 0.945641514
## 488 489 490 491 492
## 4.142486542 8.840864951 7.628006766 -0.647789513 1.939739461
## 493 494 495 496 497
## -0.684428440 1.574924877 -1.660193193 0.168690032 5.370003396
## 499 500 501 502 503
## -3.689778017 -2.683541837 13.825894087 2.662509088 2.283332685
## 504 505 506 507 509
## 5.545593470 -0.705300505 3.784648331 1.053470481 -2.448415373
## 510 511 512 513 514
## 5.828937964 -1.648414229 6.566859878 9.216036414 1.690956969
## 515 516 517 518 519
## -0.207845525 0.775742848 11.188212920 4.051508746 -0.514080942
## 520 521 522 523 524
## -3.370997123 -5.424114451 -4.983467958 -2.042821466 -6.381406336
## 525 526 527 528 529
## 1.878212950 11.165741734 -22.018916498 -16.140857120 -17.447092537
## 530 531 532 533 534
## 1.510827563 4.360004862 2.094416318 1.823297232 4.505351085
## 535 536 537 538 539
## -11.529546635 2.275721453 -2.793958337 1.042746601 3.746688537
## 540 541 542 544 545
## 1.389065036 -0.933583915 0.904236527 3.422980238 -0.995917383
## 546 547 548 549 550
## 8.432966223 -0.060171866 17.776533072 -1.120209754 1.361791179
## 552 553 554 555 556
## 3.123001738 3.682355246 1.549249659 0.189895007 0.374217200
## 558 559 560 561 562
## 0.407211400 3.939122276 -2.233912375 -1.012098095 8.124606080
## 563 564 565 566 567
## 2.401688632 3.211045857 3.236237857 6.046414448 20.232579754
## 568 569 570 571 572
## 2.948709073 3.854880410 -19.389261195 -20.695496613 0.485578544
## 573 574 575 576 577
## 3.791814915 -12.335436301 6.159062616 7.083297482 3.109317811
## 578 579 580 581 583
## 6.096847357 1.469850323 11.620246055 0.745476960 -1.426593321
## 584 585 586 587 588
## 1.910731272 0.022799409 3.580092532 7.069917085 -0.136270855
## 589 590 591 592 593
## -17.580474507 3.119198083 2.960685877 5.936452537 3.247901480
## 594 595 596 599 600
## 6.583020885 3.201018426 -0.819888252 -6.770712806 0.180428482
## 601 602 603 605 606
## 0.739781035 3.515546933 -0.766454191 2.024589194 2.203446198
## 607 608 609 610 611
## 2.301151572 13.129443722 6.458326946 6.530150907 4.754793254
## 612 613 614 615 616
## 1.565379915 5.141145049 4.564197151 1.223551040 -2.200478252
## 617 618 619 620 621
## -1.110655224 2.878930692 13.088411509 2.225074372 2.361618684
## 622 623 624 625 626
## -11.890950872 1.644075143 -11.940402355 -1.050598656 -5.364059551
## 627 628 629 630 631
## -0.146517979 2.712834766 2.617675705 0.505204871 0.192735180
## 632 633 634 635 638
## 2.827611827 1.395214173 2.595312849 -19.761771310 -0.345597644
## 639 640 641 642 643
## 1.489104638 2.725809194 -12.040300475 -15.828536825 2.698775279
## 644 645 646 647 648
## 7.292539481 17.035278493 2.778843228 2.625197768 4.337010429
## 649 650 651 653 654
## 1.312776136 -10.221635511 -21.037129263 9.190814093 19.857281035
## 655 656 657 658 659
## -2.847912302 3.444111688 14.848553845 13.861026206 2.823731889
## 660 661 662 663 664
## -10.939562601 2.892215707 2.821099313 4.551528210 0.645292412
## 665 666 667 668 669
## 2.477939894 1.983437723 -0.489336747 3.906232953 0.229931498
## 670 671 672 673 674
## 0.601047129 0.671687069 3.177922295 -5.321679952 -2.415444153
## 675 676 677 678 679
## -18.489807837 -0.083572038 1.628899178 1.439267719 2.702969851
## 680 681 682 683 684
## 3.409204887 -0.031381803 2.327971896 2.192852300 -18.144328445
## 685 686 687 688 689
## -18.223660676 -20.966601413 -0.579030061 1.613406703 0.907171667
## 690 691 692 693 694
## -18.084651898 -16.125298772 -1.397693277 -0.168810434 -0.242142431
## 695 696 697 698 699
## 4.491694870 1.626166386 4.907613588 -2.786150994 2.010468049
## 700 701 702 703 704
## -3.477153743 -2.007623263 5.961291895 -1.486983459 -1.503068156
## 705 706 707 708 709
## 1.003167070 3.909734356 0.578650277 -3.065432460 1.691164179
## 710 711 712 713 714
## 4.897401122 13.359020290 -4.342801122 -3.055271384 -2.795919021
## 715 718 719 720 721
## 5.420180948 2.000333570 1.453451469 2.177157122 2.290507798
## 722 723 724 725 726
## -0.821963037 -2.115618413 -4.158559340 0.327631277 10.321395097
## 728 729 730 732 733
## -12.775595170 -12.645125268 3.839698661 -2.519249559 3.493286713
## 734 735 738 739 740
## -18.816718981 -20.122954398 -19.683386884 -18.377151467 -13.805327506
## 741 742 743 744 748
## -1.187550249 5.966199081 32.632797508 9.342975624 4.952867806
## 749 750 751 752 753
## -13.506527209 -12.853409500 -1.389656177 3.053284369 2.107034866
## 754 755 756 757 758
## -0.211425292 -1.570778991 -0.194735824 1.658380741 4.919462256
## 759 760 761 762 763
## 0.508865017 -2.291135174 1.019134616 -0.387832279 -1.581596862
## 764 765 766 767 768
## -2.777654544 2.057360257 3.381941069 0.769188500 3.094130551
## 769 770 771 772 773
## 10.651189052 6.557613112 0.766458664 0.656772871 0.644301464
## 774 775 776 777 778
## 3.574481891 -1.302869921 3.067942824 3.460637523 5.981120731
## 782 783 784 785 786
## -5.467460489 5.785565355 -1.586637069 5.037597606 6.400891524
## 788 789 790 791 793
## 0.622951040 3.245598275 -13.932863821 -13.279746112 4.064580636
## 794 795 796 797 798
## 0.167639379 2.396523176 10.804529208 4.952118303 1.327177015
## 799 800 801 803 804
## 9.661588853 4.431813812 3.074527630 -2.283454446 -0.317426718
## 805 806 807 808 809
## -1.023661754 0.795044116 -1.556620596 1.835160424 -0.877310792
## 812 813 814 815 816
## 4.263540463 4.504188100 4.109622409 4.399446200 11.986974220
## 817 818 819 820 821
## 3.015858208 -14.733368421 -13.296663102 0.616496508 -0.548384087
## 822 823 824 825 826
## 0.872888762 -0.633960832 -1.721489807 -10.355496053 5.164492263
## 827 828 829 830 831
## 1.076254768 2.110667369 0.970020113 3.283589734 4.959355250
## 832 833 834 835 836
## -0.992035141 -0.174036837 0.120435694 -10.087350550 4.869192513
## 837 838 839 840 841
## 2.962956714 2.955738528 3.435403894 2.259638378 3.712756277
## 842 843 844 845 846
## 2.745638472 2.772330854 41.312976774 0.129064801 0.182182128
## 847 848 849 851 852
## 1.688417355 2.725123056 5.110081552 6.963198116 6.900653840
## 853 854 857 858 859
## 3.835905306 0.782601759 -1.607300199 5.124909450 -1.228207115
## 861 862 863 865 867
## -2.390887810 -0.790887428 2.398069266 3.544952701 14.380070199
## 868 869 870 872 873
## 3.963492035 1.426786334 -21.028285377 -11.754167554 -14.366638389
## 874 875 877 879 880
## -19.722049960 -18.415814542 8.447736670 2.221879150 1.012316355
## 881 882 883 884 885
## 2.749758046 -1.009596225 0.874378518 28.656883605 1.376788222
## 886 887 888 889 890
## 1.841521835 -20.995686036 -19.036332910 -1.721503197 0.831862828
## 891 892 893 894 895
## -0.281449531 -2.940802466 -2.234566477 9.532078458 1.016558619
## 896 897 898 900 901
## 3.722794609 2.620464717 4.804051946 3.704678520 0.605088707
## 902 903 904 905 906
## -0.335557785 -1.008702912 -13.908983398 -11.512675169 1.023938286
## 907 908 911 913 914
## 0.223937142 4.093467240 6.773286254 9.197823030 0.517619907
## 915 916 917 918 919
## -11.139438975 3.001208280 4.780110214 6.102112261 -3.728291600
## 920 921 922 923 924
## -2.044704371 3.684178472 3.895189167 3.001423821 4.220037065
## 925 926 927 928 929
## -16.142038055 0.338642559 -2.690521876 -2.184286649 -14.135669920
## 930 931 932 933 934
## -14.788787628 4.708261202 7.018374613 8.983254445 -0.935095566
## 936 937 938 939 940
## 0.835480958 -1.521578687 2.588062142 -3.589996473 0.318408498
## 941 942 943 944 945
## -0.275355703 -4.721474699 0.268347947 -11.114100249 -2.103922896
## 946 947 948 949 950
## 16.959109357 4.433198584 5.479788292 4.745376835 3.063377046
## 951 952 953 954 955
## 0.749491254 5.877633405 3.643537227 5.896653410 4.599046551
## 956 957 959 960 961
## 7.483578095 13.307812580 7.289217062 -0.436502709 -10.865293115
## 962 963 964 965 966
## -0.835959489 3.376511727 1.938239750 -1.142538186 -0.752715921
## 967 968 970 971 972
## -1.293362795 1.488639283 -4.135421955 -2.433305153 -12.066004609
## 973 974 976 977 978
## -0.423950353 -18.126612477 -21.392201021 1.013360631 -1.062404504
## 979 980 981 982 983
## -1.452227722 -1.628082759 4.061740651 3.455129363 8.114483252
## 984 985 986 987 988
## -1.910786054 1.119684420 -0.492786415 -12.061609710 0.621972175
## 989 990 991 992 993
## 0.458678066 0.724692823 5.330929384 1.095033780 2.931738718
## 994 995 996 997 998
## -0.671660452 -0.065423890 0.310401538 6.378138887 8.844385630
## 999 1000 1001 1002 1003
## -0.545438543 -0.549379716 1.397803798 -3.466054367 10.115945041
## 1004 1005 1006 1007 1008
## 0.390292542 2.266056914 -1.122179818 7.686890985 -1.619344433
## 1009 1010 1011 1012 1013
## -1.506872644 -2.155224069 2.317240532 1.436545491 6.787368956
## 1014 1015 1016 1017 1018
## -1.675925344 -1.800159065 8.781134683 -0.471983408 2.680240462
## 1019 1021 1022 1023 1024
## 1.314651537 4.773985651 -11.142427501 3.767749471 2.066148546
## 1025 1026 1029 1030 1031
## 1.824750434 0.516490013 -15.678177711 -20.380471574 -21.686706991
## 1032 1033 1034 1035 1036
## 4.463972886 6.971965964 11.730028716 13.112138555 -11.961025936
## 1037 1038 1040 1041 1042
## 0.074000079 -16.704484421 -0.166314848 7.771452624 1.842569018
## 1044 1045 1046 1047 1048
## -2.300125616 -0.240772108 0.626393844 -2.285606620 1.226863834
## 1049 1050 1051 1052 1053
## 1.265556857 0.761615683 -0.675089636 6.551146449 -1.316954647
## 1054 1055 1056 1057 1058
## -0.439928433 6.149355255 1.230649003 7.459531846 14.031171417
## 1060 1061 1062 1063 1064
## 3.640818215 5.604489789 15.639799374 21.317291696 4.034426031
## 1065 1066 1067 1068 1069
## -2.337398120 3.950131617 1.113424772 4.512788477 8.206553059
## 1070 1071 1073 1074 1075
## -11.780976488 -11.884949303 -11.759880936 7.619996833 7.619996833
## 1076 1077 1078 1079 1080
## 2.577388899 4.239030734 8.067982178 -2.438253048 3.148505293
## 1081 1082 1083 1084 1085
## 4.258683029 20.617328206 5.882916750 11.559140220 18.648963248
## 1086 1087 1088 1089 1090
## 3.461432939 -0.158279308 -0.621667760 -1.009195972 0.994413743
## 1091 1092 1093 1094 1095
## 4.103262513 1.418967718 -12.946658360 2.129926479 6.605691231
## 1096 1097 1098 1099 1100
## -0.300430577 -0.165746033 0.258487879 0.261108761 -13.910546864
## 1101 1102 1103 1104 1105
## -20.980630634 -19.021277508 -18.241205853 -21.637264298 -1.891104306
## 1106 1107 1108 1109 1110
## 2.321366910 8.087146917 7.746498899 -2.605296199 0.770469126
## 1112 1113 1114 1117 1118
## 14.626853402 2.286207291 -18.719695847 1.772037147 -16.455515766
## 1119 1120 1123 1124 1125
## -18.414868892 3.970504132 5.026621590 9.567268464 0.504570832
## 1126 1127 1128 1129 1130
## -0.018076975 -15.826321636 -17.263026955 0.461288750 3.297993687
## 1131 1134 1135 1136 1137
## 3.556242166 2.449646125 -1.404637565 9.072343303 -2.618753792
## 1138 1139 1140 1141 1142
## -1.408575676 -0.942988277 -0.953164677 3.647802972 1.468719942
## 1143 1144 1145 1146 1148
## 1.085133858 2.232349821 1.942164379 -0.062636098 3.437875996
## 1149 1150 1151 1152 1153
## -15.990639596 -14.814874080 1.886539674 -11.797244330 -13.756597456
## 1154 1155 1156 1157 1160
## -20.303253437 -12.985912569 -16.251501112 -11.852173991 0.553129954
## 1161 1162 1163 1164 1165
## -0.871805751 6.421959213 1.740665084 -1.201432898 7.776700312
## 1166 1167 1168 1169 1170
## 9.623582604 -18.921194567 -21.011017595 3.631649021 0.455283299
## 1171 1172 1173 1174 1175
## -0.232246057 -11.519043376 -0.400207827 3.206028735 3.567201882
## 1176 1177 1178 1179 1180
## -11.189857381 -0.174151414 -0.845269143 8.508092098 3.120562933
## 1181 1182 1183 1184 1185
## -11.239240849 1.954523734 1.419405474 1.148288317 3.733400159
## 1187 1189 1190 1191 1192
## 1.915517432 -11.990972038 1.320265047 5.254677267 -1.616926655
## 1193 1194 1195 1196 1197
## -2.082942362 -0.476706754 -2.224296230 0.748173272 3.335703200
## 1198 1200 1202 1203 1204
## 0.894934627 2.070941673 -14.466231556 9.057765377 9.013836267
## 1207 1208 1209 1210 1211
## 1.743986669 0.535055233 -1.452474314 -1.690858604 1.900899406
## 1212 1213 1214 1215 1216
## 7.911076760 2.326562004 2.861171298 -11.185185768 1.980310148
## 1217 1218 1219 1220 1221
## 1.242990271 2.172328573 0.801211034 1.718069991 3.075129636
## 1222 1225 1227 1228 1229
## -2.382132458 3.227871875 0.822134406 3.954190894 6.283074118
## 1230 1231 1232 1233 1234
## -13.473082695 -0.719570375 3.673765271 1.535996810 -16.089856698
## 1235 1236 1237 1238 1239
## 11.719933520 8.416067464 2.601068286 13.459713464 5.223008908
## 1241 1242 1243 1244 1245
## 2.677968353 3.386405197 4.146190892 2.632530950 0.442708494
## 1248 1249 1250 1251 1252
## -0.710887590 8.138018564 5.344253600 14.978666582 1.825071154
## 1253 1254 1255 1256 1257
## 2.568011891 -0.363143973 4.248711540 -12.091934570 7.228199190
## 1258 1259 1260 1261 1262
## -0.454172280 -3.243996070 -0.791923867 2.626782386 4.059322110
## 1263 1264 1265 1268 1269
## 12.343256429 1.624990822 13.483387173 4.500149884 2.789971767
## 1270 1271 1272 1273 1274
## 2.615693787 9.052399106 9.940977348 3.871786347 -0.292603575
## 1275 1276 1277 1279 1280
## -1.054156792 0.624171834 8.765524749 3.040276678 -1.137321527
## 1281 1282 1283 1284 1285
## -2.382002582 -0.946462512 15.527514641 15.168159989 16.727756516
## 1286 1287 1288 1289 1290
## -3.336349553 -0.746526525 -1.445546784 2.720041378 -1.351782583
## 1291 1292 1293 1294 1295
## 1.301375159 -1.441565577 1.211552131 7.474593076 -0.345627755
## 1296 1297 1298 1299 1300
## 6.435759001 5.699690486 3.293456595 9.046076818 5.258546127
## 1301 1302 1303 1304 1305
## 11.970795216 17.577029870 5.783266813 -3.122117654 -12.275235363
## 1306 1307 1309 1310 1311
## 1.637090944 -1.433106520 -0.015105927 -2.881553943 -0.212023654
## 1312 1313 1314 1315 1316
## 3.204317920 6.551056776 8.086189475 14.011411164 -0.553979650
## 1317 1318 1319 1320 1321
## 3.017844311 -0.236373874 -3.068791871 -2.768791681 -11.400224380
## 1322 1323 1324 1325 1326
## -2.412694834 1.980535836 1.868238350 2.839354363 -0.823847355
## 1327 1328 1329 1330 1331
## -3.119907326 -12.549342414 -17.115545516 -12.060983722 2.910103640
## 1332 1335 1336 1338 1340
## 2.015729019 1.419473448 5.948747504 -0.398134788 1.477871033
## 1341 1342 1343 1344 1345
## 4.890343012 3.663704021 0.481703278 0.111301354 5.187066488
## 1346 1347 1348 1349 1350
## -11.506698094 -15.930901327 -17.890254453 3.875914103 13.063993530
## 1352 1353 1354 1355 1356
## 2.441746225 1.062082813 4.337848710 9.316644057 8.622879474
## 1357 1358 1359 1360 1361
## 6.429114892 -0.219888645 -11.931289044 -0.367796263 -2.061560846
## 1362 1363 1364 1365 1366
## 20.591322115 -12.677475428 -0.071274773 0.934960453 3.899538413
## 1367 1368 1369 1373 1375
## 5.822185838 -0.229207523 7.567865796 1.732278135 1.660832220
## 1376 1377 1378 1379 1380
## 3.442832390 -17.608678652 -16.432913137 -14.996207817 -13.167324593
## 1381 1382 1383 1384 1385
## -11.186269031 0.523908132 1.687683974 -0.364236941 -6.331502936
## 1386 1387 1388 1389 1390
## -2.419031911 -0.019957731 1.091859226 -0.469788335 3.602035626
## 1391 1392 1393 1394 1395
## -0.422905281 5.882918350 0.422640795 5.535112584 10.979178712
## 1396 1397 1398 1399 1401
## 19.484797663 1.450531921 -1.986173398 -1.883312142 1.442874782
## 1402 1404 1405 1406 1407
## 2.292382622 3.682224346 -11.307759728 3.246041457 -11.464134752
## 1408 1409 1410 1411 1412
## 7.626800264 1.629978726 -14.201994981 -12.895759564 4.466278094
## 1413 1414 1415 1416 1417
## -11.515891862 5.537709061 2.338066280 -0.257991020 1.395126688
## 1418 1419 1420 1421 1422
## -1.118936487 0.234180077 2.451794202 -18.074857946 -15.985034918
## 1424 1425 1426 1428 1429
## 0.161319148 -13.097186056 -15.187009084 7.074859964 -14.549068232
## 1430 1431 1432 1433 1434
## -16.377951456 2.972652465 0.027234141 1.020997961 4.992115881
## 1435 1436 1437 1438 1439
## 2.979300153 0.521102742 7.778162005 3.718808498 1.574610292
## 1441 1442 1443 1444 1445
## -0.615009104 4.544344785 -0.615009104 -3.508257806 3.427053095
## 1446 1448 1449 1451 1452
## -1.845471764 6.659845481 -0.615918509 1.661069763 12.413996650
## 1453 1454 1455 1457 1458
## 8.913996650 19.975728764 4.080453328 1.038621547 2.515299265
## 1459 1460 1461 1462 1463
## 3.427156804 3.658241455 3.116197461 -11.540861421 -3.851256677
## 1464 1466 1467 1468 1469
## -0.369255744 1.210317576 2.680751038 2.347126527 1.481924137
## 1470 1471 1472 1473 1474
## 3.806158621 -0.753194886 17.041275737 14.285585410 6.816838737
## 1475 1476 1477 1478 1479
## 9.773898764 6.488472947 3.031418921 10.753128290 -0.661196243
## 1480 1481 1482 1483 1484
## 1.642744167 3.251217043 1.144982388 6.891864298 -0.463957538
## 1485 1486 1487 1488 1489
## -11.915170423 2.872358360 -1.880914791 -4.212813096 0.099586623
## 1490 1491 1492 1493 1495
## -2.841059870 0.042182052 -2.317170693 7.976282242 1.823290853
## 1496 1497 1498 1499 1500
## -0.844184056 -1.703537754 -0.838817657 -1.767608064 -0.373843672
## 1501 1502 1503 1504 1505
## 2.567510387 3.631520705 2.290782348 -11.361955016 -0.969444198
## 1506 1507 1508 1509 1510
## -4.394385677 10.275257500 0.669020938 4.542332172 0.218097688
## 1511 1512 1515 1516 1517
## 9.173509640 6.843038976 -17.444726247 -18.750961665 -15.485373121
## 1518 1519 1520 1521 1523
## 0.743323898 1.115149004 3.479596003 4.841419068 8.530284759
## 1524 1525 1526 1527 1528
## 7.937244396 4.202740694 2.345539813 5.130775497 -12.035714108
## 1529 1530 1531 1532 1533
## 7.726663565 -13.562194289 -18.656666057 1.105087551 3.614594563
## 1534 1535 1536 1537 1538
## 3.743478931 2.119923066 9.828377503 2.951025691 2.463503011
## 1539 1540 1541 1542 1543
## 4.100209093 5.106445273 -1.418597588 -1.565480070 -0.880016776
## 1544 1545 1546 1547 1548
## 2.189514086 -2.324239705 -0.028181642 1.949148479 2.585854561
## 1549 1550 1551 1552 1553
## -1.517338634 -4.546222621 -11.146347426 2.230676206 1.467996084
## 1554 1555 1556 1557 1558
## -21.928130324 -15.154527431 -12.013787930 -14.103610958 3.022605470
## 1559 1560 1561 1562 1563
## 4.039017097 -0.383400533 -0.277164924 -2.053342587 1.842715858
## 1564 1565 1566 1567 1569
## -1.616637268 0.553619968 3.924736553 3.652898372 1.942966587
## 1570 1571 1572 1573 1574
## 0.022101756 -0.802132728 6.799226978 6.658380561 -0.776561716
## 1575 1576 1577 1579 1580
## -0.070325726 -0.145477446 0.335105010 -1.186333600 3.154312511
## 1581 1582 1583 1584 1585
## 0.430078408 2.548077857 3.038608070 0.748784279 2.736089088
## 1586 1587 1588 1589 1590
## 3.872795170 -2.105264590 0.525820633 1.279924085 2.263557758
## 1591 1592 1593 1594 1596
## 2.422910693 -1.343080073 -19.251146135 -15.141108291 -4.439995012
## 1597 1598 1600 1601 1602
## 2.215415796 -1.227523796 4.030144144 5.856344486 7.878284726
## 1603 1604 1605 1606 1607
## 6.009462195 3.138052122 1.150522575 4.216112263 0.531817467
## 1608 1609 1611 1612 1614
## -15.672561947 -11.884325597 1.510455343 2.686220859 20.486509178
## 1615 1617 1619 1620 1621
## 17.115393547 11.283228760 1.613215871 1.423393415 7.589513501
## 1622 1623 1624 1625 1626
## 7.283985651 17.857576940 9.779404170 -13.841293814 -15.147529232
## 1627 1628 1629 1630 1631
## -0.249822713 -18.259746219 -17.083980703 2.640571044 -1.202370074
## 1632 1633 1634 1638 1639
## 8.664444972 2.667391233 1.530686105 0.286901655 0.130216182
## 1640 1641 1642 1643 1644
## 0.546347217 5.648613630 3.509188884 -10.675565265 1.057513422
## 1645 1646 1647 1648 1651
## 1.857512659 3.232133735 2.116455004 6.028311662 -2.558545169
## 1652 1653 1654 1655 1656
## 2.094572539 -2.905239526 -3.220466477 -4.020466667 0.611698128
## 1657 1658 1659 1660 1661
## -1.063359821 1.605461947 0.678340245 -2.187248680 -1.474989129
## 1662 1663 1664 1665 1666
## 3.480422824 -0.485166482 2.021069698 3.680530324 -0.938174784
## 1667 1668 1669 1670 1671
## 1.437589588 2.414377894 2.869894165 -11.340282044 -2.332079533
## 1672 1673 1674 1675 1676
## 0.314803902 -2.308032146 9.079497019 12.686428881 2.558252079
## 1677 1678 1679 1680 1681
## 2.745782388 0.753193144 3.328958278 2.306310471 5.035193314
## 1682 1683 1684 1685 1686
## 7.468759489 4.478936843 11.308985322 14.380103623 4.369099664
## 1687 1688 1689 1690 1691
## 24.802479170 1.029516875 1.353751360 7.610470983 8.891765493
## 1692 1693 1694 1695 1696
## 2.269824872 9.651117856 3.983671042 -14.402929246 -12.698895064
## 1697 1698 1699 1700 1701
## 3.912360622 -15.428585516 -17.257468740 -0.272639902 -0.760169449
## 1702 1703 1704 1705 1706
## 2.546065969 7.574724949 5.038019248 6.487222312 0.950516611
## 1707 1708 1709 1710 1711
## 10.870529600 3.749297792 1.973531895 0.036826576 5.605405191
## 1712 1713 1714 1715 1716
## 2.984273122 -0.567749166 9.248655104 4.485359660 1.391595459
## 1717 1718 1720 1721 1722
## 4.437426675 -5.812128016 -1.154418470 3.081865958 4.970102690
## 1723 1724 1725 1726 1727
## 7.067550333 22.963670884 -0.967438952 5.114561409 3.338795512
## 1728 1729 1730 1731 1732
## 10.499672809 5.938342084 0.262576568 0.200498674 3.404413489
## 1733 1734 1735 1742 1743
## 1.623026732 3.831773714 2.525538297 -4.074959241 0.207041883
## 1745 1746 1747 1748 1749
## -14.704301612 -1.792537200 2.497375537 -1.556390722 5.731845629
## 1750 1751 1752 1753 1755
## 16.328406128 0.910591478 1.873115593 3.510435089 -22.257272854
## 1756 1757 1758 1759 1760
## -16.379213475 -20.428389629 0.481464210 3.240816573 -15.125299442
## 1761 1762 1763 1764 1765
## -16.431534859 -0.984644067 4.419296725 -1.089108513 0.527303495
## 1771 1772 1773 1774 1775
## 4.856980580 5.050745163 1.257242906 4.487691478 -1.508367348
## 1776 1777 1778 1779 1780
## -11.618159264 1.322487228 -3.189983225 -1.421643942 -2.211466779
## 1781 1782 1783 1784 1785
## 7.157975532 8.994682377 7.982917583 4.284982207 -17.138422514
## 1788 1790 1791 1792 1793
## 1.942845679 15.105607370 -0.100627666 2.994342449 16.228162029
## 1794 1795 1796 1797 1798
## 23.171142339 3.180111237 -0.754392670 1.462019719 10.221999386
## 1799 1800 1801 1802 1803
## 10.525915899 3.962621219 2.127217229 2.733451884 1.509196820
## 1806 1807 1808 1810 1811
## 7.036644844 -0.599071392 5.943156217 6.690280008 -12.702294040
## 1812 1813 1814 1815 1816
## -1.533348461 3.926004665 -1.329720153 -13.274852861 -18.499794531
## 1817 1818 1819 1820 1821
## -17.193559113 -15.234205987 -18.990550553 -17.025576567 11.115391958
## 1822 1823 1824 1825 1826
## 11.411448114 4.405213841 7.936544146 5.248861271 3.417684947
## 1827 1829 1830 1831 1832
## 7.634641641 8.187758969 4.609955972 -0.414279275 0.362009504
## 1833 1834 1835 1836 1837
## -1.366873339 -11.553292517 10.280807745 -1.071368119 -12.206828917
## 1838 1839 1840 1841 1842
## -0.372417079 -12.206828917 2.411170531 0.701990523 4.108226322
## 1843 1844 1845 1846 1847
## 6.137446252 17.238616603 3.535556928 -4.315501992 -7.711560437
## 1848 1849 1850 1851 1852
## 2.617851574 -0.615161423 -1.077750063 0.231720869 3.280138375
## 1853 1854 1855 1856 1857
## 2.786373602 4.315177554 2.639412038 1.663872817 -0.818128116
## 1858 1859 1860 1861 1862
## 5.553695082 2.537754405 3.774459915 -11.724539799 0.177796566
## 1863 1864 1865 1866 1868
## 5.206678646 4.534891890 4.641967216 9.258026446 -19.798393712
## 1869 1870 1871 1872 1873
## 5.688046681 5.637796073 -16.362249499 -17.668484917 -2.445437455
## 1874 1875 1876 1877 1878
## -1.226731965 1.827820473 -1.421355490 6.219929424 0.432538295
## 1879 1881 1882 1883 1886
## 1.191892566 4.873780578 -1.288121204 -3.685919969 2.276379675
## 1888 1889 1890 1891 1892
## -2.739130306 -0.332894507 -1.779777180 1.115226661 9.127296370
## 1893 1894 1895 1896 1897
## 1.668893755 4.628246881 -12.122200574 -1.063554634 1.688792816
## 1898 1899 1900 1901 1902
## 1.011439860 -12.103430119 -2.969726611 2.256488537 1.867765090
## 1903 1904 1908 1909 1910
## 0.445117665 15.831964571 1.352933856 1.512286791 1.818804809
## 1911 1912 1913 1914 1915
## -2.380580633 -0.940906445 -0.251083989 15.569663959 -0.407198431
## 1916 1917 1918 1919 1920
## 2.218302240 6.086385564 21.323707349 -2.512468598 -15.215302507
## 1922 1923 1924 1925 1926
## -0.057802925 1.967139889 -0.198448273 -1.260006880 -14.684639977
## 1927 1928 1929 1930 1931
## -20.562699355 -19.386933839 4.036936663 5.303554163 4.516025380
## 1932 1934 1935 1936 1937
## 2.217198455 0.423781084 -0.435573568 -0.879816935 -2.386053115
## 1939 1942 1943 1944 1945
## 4.376171351 -19.925547583 1.464609175 8.135725951 12.999019869
## 1946 1947 1948 1949 1950
## 0.345062755 1.908357436 1.798181608 -19.315323940 -19.184854039
## 1951 1952 1953 1954 1955
## 1.472659139 -11.592222982 9.313305250 1.819541431 -0.299080258
## 1956 1957 1958 1959 1960
## 3.194683561 -1.086053008 -11.210021977 1.454859572 4.537109114
## 1961 1962 1963 1964 1965
## -1.009772033 3.715169636 -14.740994125 -13.434758708 2.612801661
## 1966 1967 1968 1969 1970
## -1.865258099 1.063625507 -2.479917195 -4.086151850 -1.098530058
## 1971 1972 1973 1974 1975
## 5.350645715 -1.391912386 -0.267677711 9.256964358 3.197610851
## 1976 1977 1978 1979 1982
## 4.760128287 1.753893060 4.138705892 1.581793106 2.820871454
## 1984 1986 1987 1988 1989
## 0.984166517 10.652538492 2.715362831 0.318502816 7.125363150
## 1990 1991 1993 1994 1995
## 3.388658594 6.247808187 6.078291498 0.137645005 -0.081060484
## 1997 1998 1999 2000 2001
## 0.206175087 -1.059857956 -2.819211273 -2.172328791 1.767384489
## 2002 2003 2004 2005 2006
## 6.949386185 3.526736852 0.128913458 -1.507790717 -0.425233904
## 2008 2009 2010 2011 2012
## 1.350531993 1.467782523 8.308429588 -1.697805639 -0.718942460
## 2013 2014 2015 2016 2017
## 3.387293148 1.497468976 5.463058283 0.095989425 4.055342552
## 2018 2019 2020 2021 2022
## 1.661579113 -2.263363319 1.389534168 -0.547171151 4.711186041
## 2023 2024 2025 2026 2027
## -2.405809333 -1.218280930 -2.071397495 -15.400895653 -14.094660236
## 2028 2029 2030 2031 2032
## 2.765003305 4.447040543 -1.346370147 0.612982979 0.110687972
## 2033 2034 2035 2036 2037
## 2.341865822 -0.080782558 -1.540135684 25.797498177 1.703733976
## 2038 2039 2040 2041 2042
## 3.607674768 -0.047088229 3.812264515 6.919114491 0.328678050
## 2043 2044 2045 2046 2047
## 2.988264130 2.647617066 0.429831157 4.711833235 -0.025694665
## 2048 2049 2050 2052 2053
## -0.788988201 0.593012351 -1.328489712 -0.342455639 -0.983808554
## 2054 2055 2056 2057 2058
## -0.761161892 1.156219147 -1.154706691 5.393421560 2.330126879
## 2059 2060 2061 2062 2063
## 6.723760557 1.376990216 17.611251491 3.594562324 -14.572326746
## 2065 2066 2067 2068 2069
## -11.094817622 -16.505470025 11.567920015 8.874155432 -0.150263366
## 2070 2071 2072 2074 2076
## 1.264409467 1.109090905 -4.803173959 -18.167110517 -0.955633018
## 2077 2078 2080 2081 2083
## 0.950261658 11.397144331 3.156555407 1.179204167 20.624777773
## 2086 2087 2088 2089 2090
## 2.152920415 2.834306790 3.401972305 0.995737460 10.162081940
## 2091 2092 2093 2094 2095
## 7.627671247 0.790966309 13.202565484 3.357871044 -4.207716737
## 2096 2097 2098 2100 2101
## 0.802460617 1.241493808 1.089083666 4.372224353 4.409545375
## 2102 2103 2104 2105 2106
## 4.765989699 1.426754696 5.608756393 7.227193640 -1.149747811
## 2108 2109 2111 2112 2113
## 1.469772621 11.344693350 1.531219180 24.953159038 1.533516260
## 2114 2115 2116 2118 2119
## 1.651515709 2.944447552 3.767094596 -3.211421567 -21.549317226
## 2120 2121 2122 2123 2124
## 8.356686437 6.456779064 -1.743081808 -0.125082360 3.979426872
## 2125 2129 2130 2131 2134
## 1.221887938 2.982614081 4.633048461 3.232435428 -1.486310864
## 2135 2136 2137 2140 2141
## 13.737924192 9.526068297 9.030325578 4.163698783 0.747193244
## 2142 2143 2144 2145 2147
## 0.325535502 4.721594901 -14.496325656 -16.978326589 2.191076907
## 2148 2149 2150 2151 2152
## 8.180495972 2.897659951 5.403894224 7.853059361 6.177293846
## 2153 2154 2155 2156 2157
## 0.103214644 -2.449904590 13.474081979 -2.145299807 0.985876707
## 2158 2159 2160 2161 2162
## 12.217808763 1.123345272 0.125727369 -0.439862319 3.401588802
## 2163 2164 2165 2166 2167
## 5.760967538 2.449998297 4.191640594 7.673028113 7.078765693
## 2168 2169 2170 2171 2172
## 14.109235214 -6.225734049 1.693727721 0.105968790 1.284452312
## 2173 2174 2175 2176 2177
## 2.960217828 2.997157365 1.855348763 13.295997163 -0.269946733
## 2178 2179 2180 2181 2182
## -0.199732975 -19.200577110 -18.547459402 28.688761803 -2.442323420
## 2183 2184 2186 2187 2188
## -3.189205329 5.519230561 3.638037874 -2.668196589 0.603627181
## 2189 2190 2191 2192 2193
## 1.885994688 0.542526670 -0.233239227 2.391891786 -2.550692330
## 2194 2195 2196 2197 2198
## -1.338929635 5.295221017 5.557007614 1.363603251 1.335021226
## 2199 2200 2201 2202 2203
## 6.224843491 3.475668482 3.460194121 -0.533571606 -0.564041126
## 2205 2206 2207 2208 2209
## -3.679940964 -0.631731557 -4.054633804 -4.348398768 -2.435927743
## 2210 2211 2212 2213 2214
## 3.913419795 4.014127744 -1.896452045 1.327783012 4.956615323
## 2215 2216 2217 2218 2219
## 2.903497995 1.446437969 -20.742177843 3.398546185 1.123487855
## 2220 2221 2222 2223 2224
## 5.294604630 -16.405337974 -13.270219333 3.984328181 1.960092934
## 2226 2227 2228 2231 2232
## -1.318083383 4.771739644 -1.693848708 -17.705353838 -15.876470614
## 2233 2234 2235 2236 2237
## -16.399118421 -6.579835902 1.310814554 0.217050353 8.151460665
## 2238 2239 2240 2241 2242
## -11.471217807 3.769429830 -0.324451250 -13.992355584 -17.911061836
## 2243 2244 2245 2246 2247
## -15.298591002 5.163527928 0.439293825 3.982141553 2.124898282
## 2248 2249 2250 2251 2252
## 1.277400670 2.255368184 1.134789171 12.946580112 -6.747186378
## 2253 2254 2255 2257 2258
## 3.338289870 -1.044211371 1.829740848 0.197545942 -1.647675000
## 2259 2260 2261 2263 2264
## -1.294556528 -16.623039007 6.490550005 0.642231428 -0.933968895
## 2265 2266 2267 2268 2269
## 2.849618716 10.047416717 2.813949484 -0.279814717 3.926420319
## 2270 2271 2272 2273 2274
## -1.985155673 5.990258827 1.777787611 2.670457371 -0.511050987
## 2275 2276 2277 2278 2279
## -16.085076344 -18.169278512 -4.598023596 2.220682275 -1.085553142
## 2280 2281 2282 2283 2284
## 1.443911847 0.603264782 1.778012313 5.271776133 -11.389100674
## 2285 2286 2287 2288 2289
## -17.333483802 4.986482054 0.115366423 3.991449460 3.985907253
## 2290 2291 2292 2293 2294
## 3.757853893 -0.835912215 -0.267037384 -0.842802519 5.545434213
## 2297 2298 2299 2304 2305
## 15.984746499 -12.612185027 -0.104923213 3.150033059 2.574266017
## 2306 2307 2308 2309 2311
## -1.362438348 0.662577926 -0.903010808 -0.713187399 2.870000989
## 2312 2313 2314 2315 2316
## -2.442469656 -1.656339622 5.662366249 -11.434318170 6.619718648
## 2317 2318 2319 2321 2322
## 5.854130104 -11.312949936 -20.742153043 -0.533265667 -1.280148531
## 2323 2324 2325 2326 2331
## 9.290968817 3.338375666 1.062611677 1.934664960 -0.812931788
## 2332 2333 2334 2335 2336
## 2.050986159 0.110338713 0.904102724 9.843763308 9.843763308
## 2337 2338 2339 2340 2342
## -9.767641614 2.008113891 -18.866638637 -0.803889866 2.563617780
## 2343 2344 2345 2346 2347
## 1.234284401 1.846756189 -17.471408198 -14.858937363 5.419546029
## 2348 2349 2350 2351 2352
## 6.229722619 5.665146718 4.406481228 2.742218392 7.542182282
## 2355 2356 2357 2358 2359
## -18.040652766 -16.075678781 0.691482217 0.262235280 -1.374469849
## 2360 2362 2363 2364 2365
## -2.716918049 0.579979850 4.226878235 -0.979009517 1.816651302
## 2366 2367 2368 2369 2370
## -17.087289489 0.271542915 1.796391576 1.159954661 -18.783525542
## 2371 2372 2373 2374 2375
## -20.089760960 -9.509407719 5.103720552 0.966663047 -9.209759905
## 2376 2378 2380 2382 2383
## 6.627845495 8.434952347 0.381383773 -20.583394023 1.902761494
## 2385 2386 2387 2390 2391
## -15.341750738 4.943436061 4.019201195 5.391688197 -19.166959880
## 2392 2393 2394 2396 2397
## 8.795537115 6.011349329 7.370703981 0.338250638 2.007498810
## 2398 2399 2401 2402 2403
## -19.826181942 -0.665155993 0.138783937 2.810985686 2.274281893
## 2404 2406 2407 2408 2409
## 2.449529785 4.749383200 -10.219532043 7.414334513 -15.712704834
## 2411 2412 2413 2414 2415
## 0.702153247 1.453038322 7.024862283 5.424156242 11.357999435
## 2416 2417 2418 2419 2420
## 10.417352943 1.027861975 -14.765206617 2.771528473 0.366568480
## 2424 2425 2426 2427 2428
## 8.270843633 7.700249315 5.286412333 -0.040397368 -19.896812309
## 2429 2430 2431 2432 2433
## 0.347537934 -0.629814259 -17.393491111 -13.474784859 -12.824243320
## 2434 2435 2436 2437 2438
## 9.648445278 -1.833197852 -0.445668687 -0.157432336 8.410790396
## 2439 2440 2442 2443 2444
## 13.146985793 5.040749231 0.587801008 2.590918301 2.787950881
## 2445 2446 2448 2450 2452
## 12.027648027 9.417470292 3.258844407 -5.678783344 4.498280012
## 2453 2455 2456 2458 2459
## -0.052261145 -17.436656353 2.857720347 8.540028759 8.303324203
## 2460 2463 2464 2465 2467
## 2.466232735 -5.236595676 -3.624832408 6.591301262 1.793086476
## 2468 2469 2470 2471 2473
## 1.286852203 2.636027594 1.415369404 -1.375789382 -12.387553222
## 2475 2476 2478 2480 2481
## -13.607740447 1.558765864 -9.510057430 1.431889581 8.930462742
## 2483 2484 2485 2486 2487
## 2.357386676 2.004268204 13.966040839 5.225974059 9.407268188
## 2488 2489 2490 2491 2492
## -11.528652215 5.670840684 11.246605819 -1.569442564 3.050245370
## 2493 2494 2495 2497 2498
## 2.326011267 -2.241827573 3.407724278 -18.096874694 -16.859117323
## 2502 2503 2506 2507 2508
## -16.677263288 6.420765970 -18.036125624 -14.640067179 -15.551652067
## 2510 2511 2512 2513 2514
## -17.511005194 4.275746065 6.340517354 5.034891890 -21.260869283
## 2515 2516 2519 2520 2521
## 13.533603248 12.957836206 2.409939138 -5.996296661 6.716174556
## 2522 2523 2524 2525 2526
## -14.712559839 -16.671912965 7.619803308 1.517226756 7.212641411
## 2527 2528 2529 2533 2535
## 0.608233962 4.140068486 4.999174299 5.620503518 1.471757046
## 2536 2537 2538 2541 2542
## 0.511557404 5.852911081 -2.340196065 3.462589622 -20.008406266
## 2545 2546 2547 2548 2549
## -0.002936728 0.350179837 4.291639390 5.759429551 -11.673150062
## 2551 2552 2553 2554 2555
## -16.705157567 -4.119308029 -18.095461072 6.710774345 7.045186183
## 2556 2558 2559 2560 2561
## -12.108132043 2.864104919 3.016851753 3.335557624 4.729321062
## 2562 2563 2564 2565 2566
## -0.766441882 -0.980278102 5.811618259 11.713486481 2.476600313
## 2567 2568 2569 2570 2571
## 5.235952676 1.132294192 -3.084032106 -0.771560508 -0.220736281
## 2575 2576 2577 2578 2579
## 1.343239949 -9.666597547 2.046201014 -18.013060701 -3.896799318
## 2580 2581 2582 2583 2584
## -2.637446001 1.152388373 -2.004762754 -0.016526595 5.862051456
## 2585 2586 2587 2588 2589
## -9.839280150 -11.551381492 4.932673882 5.980921939 0.328576307
## 2590 2591 2593 2594 2595
## 0.804342967 4.287929433 4.320473431 -13.487029827 -14.793265245
## 2596 2597 2598 2600 2601
## -16.099500662 -0.816892155 -0.875538096 3.636322333 -3.037371566
## 2602 2603 2604 2605 2606
## 4.626889598 8.644888665 -16.040989544 -18.650884208 -18.653460378
## 2607 2608 2609 2610 2611
## 4.910756970 7.585694307 5.358884034 0.230707232 12.575316594
## 2612 2613 2614 2615 2616
## -0.400450066 2.390605055 3.440015018 3.515686953 3.846755643
## 2617 2618 2619 2620 2622
## -0.527644679 1.556224285 -0.799468449 -17.372239625 3.281142251
## 2623 2624 2625 2626 2627
## 1.885083806 6.528307231 -15.555064806 1.445713363 -19.915611632
## 2628 2629 2630 2631 2632
## -20.571305511 -15.999481550 -17.958834676 0.307594634 11.604975357
## 2633 2634 2635 2636 2637
## 8.598739176 15.395787878 -15.960089582 -16.605010261 2.605330582
## 2638 2639 2641 2642 2643
## 2.494036618 -19.533301079 -1.324231470 0.087531035 -1.118907180
## 2644 2646 2648 2649 2650
## 8.664542612 -9.987182402 12.617765034 2.987323568 5.146676503
## 2652 2653 2654 2655 2656
## 6.251638200 -4.637573528 0.969684486 -16.604949465 -19.217420300
## 2657 2658 2659 2660 2661
## -19.743112796 -13.992478630 2.975449327 7.041039015 6.687920543
## 2662 2663 2664 2668 2669
## 0.479513856 -16.011695513 -2.526993119 -13.017120910 0.697983601
## 2670 2671 2672 2673 2674
## 1.011544402 5.647537948 2.841302531 0.045665218 12.225592437
## 2675 2676 2678 2679 2680
## -11.348743217 -18.533038013 3.159160622 1.796901628 8.027985325
## 2681 2682 2684 2685 2686
## -17.895547441 -13.323723480 0.364577264 1.750740472 2.872093601
## 2687 2689 2690 2691 2692
## 7.880196478 5.305901618 5.002911952 -0.187971687 3.740911919
## 2693 2694 2695 2696 2697
## 2.144373901 -10.914866432 -22.100763052 7.698420964 0.327303426
## 2699 2700 2701 2702 2703
## 0.702079067 -1.744801699 -14.881631171 10.962341875 5.953664785
## 2704 2705 2706 2707 2708
## 5.861156966 19.244743050 5.522007462 5.843144040 6.143145185
## 2709 2710 2711 2712 2713
## -13.767079314 -13.113961605 -15.203784633 2.252943795 9.220198156
## 2714 2715 2716 2717 2719
## 7.732249026 0.593802624 -21.033339518 26.303104461 -5.333325523
## 2720 2721 2722 2723 2724
## -22.028186570 -2.270990013 1.941481203 1.088364639 1.660802014
## 2725 2728 2729 2730 2731
## -0.940539030 -1.067929009 -0.233517171 -4.296811852 3.606355558
## 2732 2733 2734 2735 2737
## -3.779188906 6.612750647 -0.245986777 1.209854244 3.581925618
## 2738 2739 2740 2741 2742
## 0.424740718 2.859859551 4.120909045 -12.007816464 -1.405835420
## 2743 2744 2748 2751 2752
## -16.408048647 -0.492162845 4.233156938 1.192006268 0.238889322
## 2753 2754 2755 2756 2757
## 3.239512658 -4.079497789 1.904796243 3.864149369 -1.997797328
## 2758 2759 2760 2762 2764
## -4.240738065 -3.934502647 4.184203414 4.517370610 2.178484025
## 2765 2766 2767 2768 2769
## -3.384515826 -2.543867808 -0.765808811 -5.641667335 -4.192184188
## 2770 2771 2772 2773 2774
## -2.373477364 -3.689889181 0.122581463 3.231409881 -11.825648619
## 2775 2778 2779 2781 2783
## 1.608763600 0.483120239 -3.592644895 -3.333292532 1.181395764
## 2784 2785 2786 2788 2789
## 8.193867171 -3.255390291 -4.292095992 4.931098229 1.918627776
## 2790 2791 2792 2793 2794
## -5.050196091 -2.009549217 25.606399526 -3.036540829 1.525106732
## 2795 2796 2797 2799 2801
## -11.800666433 -11.928586530 8.389411773 -16.999470827 4.239737669
## 2802 2803 2804 2805 2806
## 8.587749446 4.991692145 2.240867155 -11.633731788 15.154644328
## 2807 2808 2810 2811 2812
## 3.618192093 3.828368302 0.265823257 5.687763116 0.752354967
## 2814 2815 2816 2817 2818
## -15.722632948 -11.809547555 -0.256649676 3.785818075 7.132700366
## 2819 2821 2823 2824 2825
## 10.522522631 3.161028690 -5.581310085 6.447706769 -2.975807017
## 2826 2827 2828 2830 2831
## -2.730386043 7.167320475 5.357141977 3.475848992 -3.311393445
## 2832 2833 2834 2835 2836
## -0.343323891 5.591088329 -2.058570411 1.147665579 -2.611043752
## 2839 2840 2841 2842 2843
## -0.295467170 -2.979970747 -0.567347614 2.442141727 1.482880847
## 2844 2845 2846 2847 2848
## -1.664094835 4.829454210 -2.918125714 -0.090026382 6.838148703
## 2849 2850 2851 2852 2853
## -0.583791155 -0.149349325 -12.473583809 2.980044691 1.041492957
## 2854 2855 2856 2857 2858
## -22.239649230 11.124047078 0.261462951 -0.868892396 -1.545179870
## 2859 2862 2863 2864 2865
## -3.032708463 7.694753391 7.882281794 1.895952425 6.051191000
## 2866 2867 2868 2869 2870
## 2.845149106 3.067514605 6.970243482 -2.302331822 -2.648506547
## 2871 2872 2873 2874 2875
## -18.004540425 -12.126481047 11.291436667 20.278968121 -18.958143743
## 2876 2877 2878 2879 2880
## -16.998790617 6.577128096 4.992148434 2.064985641 3.771220677
## 2881 2882 2883 2884 2885
## 3.562953170 3.807129664 -1.527504594 2.874988176 -0.761893222
## 2886 2887 2888 2889 2891
## 3.024363147 5.368167237 7.177689129 6.524389217 -3.503616220
## 2893 2894 2895 2896 2897
## 0.713815436 5.477109926 -4.997427709 -2.207604872 -1.748251746
## 2898 2899 2900 2901 2902
## 3.684186123 0.671014875 5.554268094 3.811327358 1.005091940
## 2903 2904 2905 2906 2908
## -3.674079312 0.253481405 -5.252046254 -4.558281672 -7.237117630
## 2909 2910 2911 2912 2913
## -4.341059185 -7.977764313 -3.309974344 9.556453050 5.076947134
## 2914 2915 2916 2917 2918
## -19.381517847 -18.075282430 -20.034635556 3.020550452 1.919072299
## 2919 2921 2923 2924 2925
## -0.734045410 2.558674558 -2.481286088 -21.542840449 4.151871190
## 2927 2928 2929 2934 2935
## -18.898825473 2.049332495 -1.285171589 -5.060943137 -20.685884425
## 2936 2937 2938 2939 2940
## -0.154707338 -1.248471539 -5.036762214 1.751475090 0.875708812
## 2941 2942 2943 2944 2945
## -2.232820850 0.540406501 -1.096913948 -0.796714535 1.303284892
## 2946 2953 2954 2955 2956
## 0.580638230 3.538790898 19.817919480 2.813665798 3.060547708
## 2957 2958 2959 2960 2961
## 2.068984742 21.150146860 0.330936756 -0.587769497 0.177819047
## 2964 2965 2966 2967 2970
## 8.051192583 4.057768209 6.622638275 7.500697654 -18.645175285
## 2971 2972 2973 2974 2975
## -12.767115907 5.861856173 6.903102459 6.063334417 -1.607782359
## 2978 2979 2981 2982 2983
## 4.376691579 7.966514607 0.254738072 10.729986892 2.636220784
## 2984 2985 2986 2987 2988
## -0.307534345 5.932480340 7.144874763 1.108169062 0.929223143
## 2989 2990 2991 2993 2994
## -1.307481413 9.351870569 1.169870780 -0.805111317 1.672992881
## 2995 2997 2998 2999 3000
## -11.591951523 14.959601579 1.606485014 7.364253335 17.375233869
## 3001 3002 3003 3004 3005
## 5.910276355 4.235484148 0.513450900 -4.405162153 7.442156199
## 3006 3007 3008 3012 3013
## -1.040267965 -1.949149951 -0.430445225 1.076469198 0.368031400
## 3014 3015 3016 3017 3018
## 3.033619562 -15.542876642 -18.060634960 -21.979341212 -11.653352575
## 3019 3021 3022 3023 3024
## -19.463535134 -2.860651246 7.702984875 1.169374798 5.600691394
## 3025 3026 3027 3028 3029
## 0.861344268 9.049580237 10.323425131 17.414896233 9.374249359
## 3030 3032 3033 3034 3035
## -18.750984013 3.095690143 1.977690694 -0.299335611 14.051580099
## 3036 3037 3038 3039 3040
## 12.618019508 -19.644305027 -15.725598774 -13.510926704 0.190886543
## 3041 3042 3043 3044 3045
## 0.403355852 0.371660822 -12.601041833 -9.475779441 12.721926315
## 3048 3049 3050 3051 3052
## -0.954730112 1.526564208 6.572729569 8.893785254 12.030918119
## 3054 3055 3056 3057 3058
## -14.325188910 -16.807189843 5.778198684 14.560052596 1.795322346
## 3059 3060 3061 3062 3063
## 14.343281475 20.183927586 -22.126849205 -0.399978636 5.375787261
## 3066 3067 3069 3071 3073
## 6.534970068 -20.678070095 -2.884720095 -14.371189222 0.751111672
## 3074 3076 3079 3080 3081
## 1.743220535 1.175090985 4.882325557 -5.552086663 2.398737183
## 3082 3083 3084 3085 3086
## -6.305204753 0.374610085 -0.332787008 3.610154492 1.750801747
## 3087 3088 3090 3091 3092
## 0.190606518 1.513254516 -6.683800622 -3.252066465 0.023699432
## 3093 3094 3095 3096 3097
## -3.351223716 -0.863752159 0.807581982 2.216488356 2.953193866
## 3099 3101 3103 3104 3106
## 3.373870399 0.944987747 -1.441585313 -13.646474072 1.862430183
## 3107 3108 3110 3111 3114
## 0.903690471 1.325724482 4.872323312 6.541852647 0.418977350
## 3116 3117 3119 3120 3121
## 7.398228228 2.961107628 4.188839757 -15.087948850 -14.434831141
## 3122 3123 3124 3126 3127
## 5.527701472 11.203466987 1.794505273 1.619523384 5.707053312
## 3129 3130 3131 3132 3133
## -1.996335154 2.051253560 -2.314334411 4.756782937 1.018384528
## 3134 3136 3137 3138 3140
## -11.875379864 4.820069408 2.842039352 1.745981098 -15.479809734
## 3141 3142 3143 3144 3145
## -12.344691092 -2.071727301 3.287625444 4.053126273 -17.531085216
## 3146 3147 3148 3149 3150
## -2.354200327 -0.488613309 1.817576986 1.114668756 1.100470781
## 3151 3152 3153 3155 3156
## 3.584766721 4.408563172 -0.114530335 -3.041485592 4.589691876
## 3157 3158 3159 3160 3161
## 6.632717150 6.562896710 18.999900206 1.143069951 9.240776279
## 3162 3163 3164 3165 3166
## -1.806106775 -2.977605798 -0.047438737 2.623678038 -2.210723098
## 3167 3168 3169 3170 3171
## -1.641193190 -2.141193190 0.837885939 2.697343423 1.522191321
## 3172 3173 3174 3175 3176
## 5.424320167 3.174837409 -1.927457980 16.435945460 2.361066914
## 3177 3178 3179 3180 3181
## 4.361682235 2.862244454 0.997159624 -1.267721352 -0.983000530
## 3183 3184 3185 3186 3187
## 9.581794804 2.398665629 4.880666562 -2.560687498 1.232240052
## 3188 3189 3192 3193 3194
## 1.311568127 0.327979754 0.227883641 -11.594859396 -1.556505621
## 3195 3196 3198 3200 3201
## -0.444893546 -13.864490721 2.112861472 19.412596331 5.793701186
## 3202 3203 3204 3208 3209
## 6.974995315 -12.457412469 4.076998225 -16.773543913 -18.079779330
## 3210 3211 3212 3213 3214
## -14.161073078 -12.201719952 2.056584403 1.991703236 5.675798438
## 3215 3216 3217 3218 3219
## 3.668210485 -1.346833687 1.218754093 -18.249349051 -22.690703111
## 3220 3221 3222 3223 3224
## 10.189344803 7.171345736 3.166513050 6.829808113 -19.617782127
## 3225 3226 3227 3228 3229
## 1.311612667 2.692999805 2.950059069 16.502158336 13.851333727
## 3230 3231 3232 3233 3234
## 16.645100599 2.047288845 9.604157594 0.591090430 1.601266830
## 3235 3236 3237 3239 3240
## -11.713890329 1.185326913 -1.851377833 6.990686964 3.603157799
## 3241 3242 3243 3244 3245
## 4.207059132 -15.605064594 1.556816144 -2.978303070 2.218369933
## 3246 3247 3248 3249 3251
## 0.729702659 8.276584759 -0.369563989 2.902258827 3.483552575
## 3252 3256 3257 3258 3259
## -1.076988508 -17.578110713 -14.965639878 -12.101646428 6.883588111
## 3261 3263 3264 3266 3269
## 1.872916545 -3.179661376 0.525101310 1.876216690 1.654297143
## 3271 3272 3273 3274 3275
## 3.732264085 3.423201098 -1.000727877 -1.553847111 -0.098547523
## 3276 3277 3279 3280 3281
## 7.020864309 28.584169505 -14.047400722 13.363865520 13.676335210
## 3282 3284 3286 3287 3288
## 1.996446661 8.956414240 2.791793885 2.542035438 16.229305569
## 3289 3293 3295 3296 3297
## 2.969951298 3.130299010 -12.163465954 1.048297695 1.724063211
## 3298 3299 3302 3303 3304
## -2.047761513 2.646003070 1.273260637 1.498348717 -1.661221749
## 3306 3307 3308 3309 3310
## -2.282117734 2.973295363 3.260273638 2.096978576 -1.720414104
## 3311 3312 3313 3314 3315
## -0.948019259 -3.123441568 -0.942055193 3.434338341 5.016339656
## 3316 3317 3318 3319 3320
## -18.264510868 -19.570746286 -1.216151890 -2.405974346 2.238871863
## 3321 3322 3323 3324 3325
## 2.082959380 -12.873750498 -3.165671328 -3.919495175 -3.048198593
## 3326 3327 3332 3333 3334
## 1.157266075 1.133032735 0.649387035 0.309180201 -0.658609006
## 3335 3338 3341 3342 3343
## 0.509180010 13.724550249 5.283373298 -4.178037032 3.903006019
## 3344 3346 3347 3348 3349
## 2.738123516 21.870366946 11.176983324 2.171320723 6.269623126
## 3350 3351 3352 3353 3355
## 4.040837807 5.538648477 2.306408980 0.724945020 6.602576616
## 3356 3357 3358 3359 3360
## 2.048996416 2.912290334 6.075358580 13.670197709 -3.536035420
## 3361 3362 3363 3364 3365
## -1.033547223 2.462274730 6.068233670 -0.951741006 5.219006502
## 3366 3368 3374 3375 3376
## -12.267769904 3.519758879 2.776546571 -11.117217821 8.756396775
## 3377 3378 3379 3385 3386
## 4.554102913 3.085187754 11.484415143 14.828717270 3.339313391
## 3387 3388 3389 3390 3392
## 0.290019688 4.914255317 -2.526485329 2.117235812 0.188314754
## 3393 3394 3395 3403 3404
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## 3405 3406 3407 3409 3410
## 5.994009021 2.053845883 -17.662815485 -18.969050903 -15.750062133
## 3411 3412 3414 3415 3416
## -2.962533350 0.903055575 6.306830802 3.062401886 -18.798056924
## 3417 3418 3422 3423 3424
## 5.484202255 1.389427043 -14.408965559 -17.027057253 3.338552181
## 3426 3427 3428 3429 3430
## 1.809668193 -5.173587034 2.536451138 3.965334744 17.041459457
## 3431 3432 3433 3436 3437
## 0.168273633 -18.219732878 -20.309555906 -3.434050279 8.379520240
## 3438 3439 3440 3441 3443
## 11.778312888 5.334114287 2.675375719 -2.615062439 -3.088283901
## 3444 3445 3447 3448 3449
## -0.170065173 0.636169290 0.614552333 -0.534004591 5.625348344
## 3450 3451 3452 3453 3454
## 6.218659146 3.414017233 1.482932773 12.591390259 6.294164389
## 3455 3456 3457 3458 3459
## 3.289694767 6.504364977 -0.285456906 -0.791172019 13.402590656
## 3462 3463 3464 3466 3467
## 2.295540612 14.266942420 -13.677707156 0.234514519 2.491221132
## 3468 3471 3472 3473 3478
## 13.562337526 2.653533805 -15.524654423 -14.218419006 16.964211536
## 3479 3480 3481 3482 3484
## 7.231219061 7.719171674 7.640171026 4.590994872 -16.194281325
## 3485 3486 3487 3489 3490
## -19.590339770 -12.650985969 5.586732471 -0.611397781 -0.444105887
## 3491 3492 3493 3494 3495
## -0.084907190 3.617386673 0.233093022 -0.510070757 2.237518720
## 3496 3497 3498 3503 3504
## 2.064486216 8.079068074 10.183009629 -1.459689277 -1.919042403
## 3505 3506 3507 3508 3509
## 4.879862762 -0.795605602 8.320083738 4.732555718 3.326131679
## 3512 3513 3516 3518 3519
## 11.497200911 3.287167882 -0.144681057 -0.588064599 7.855446293
## 3520 3521 3522 3523 3526
## 4.356570056 -16.240696637 -18.093987152 -14.175280899 3.004162599
## 3527 3528 3529 3530 3531
## 12.272330485 9.727778557 3.925026163 3.331659738 1.354269687
## 3532 3533 3537 3538 3539
## -0.561099871 -2.791756500 0.594467082 1.506937154 -0.795357090
## 3541 3543 3544 3547 3548
## 5.287806241 10.143803392 -1.787373313 -18.043302193 11.487633181
## 3549 3551 3552 3553 3554
## -0.025332588 -0.601097722 -1.865916585 -5.472152194 3.576705976
## 3555 3556 3557 3558 3562
## 1.491529305 3.215763408 -20.858573164 -19.682807648 1.496350537
## 3563 3564 3565 3567 3571
## 2.933055856 1.232467085 -0.454097047 8.876748420 18.401812220
## 3572 3573 3574 3575 3576
## 3.232990451 -21.963774798 -11.599889238 -2.996624633 2.764681856
## 3577 3578 3579 3580 3581
## -18.147322149 0.436733545 -4.316265692 7.498852410 2.373393070
## 3582 3583 3584 3585 3586
## 2.810098389 2.208830697 18.250328132 1.866740140 9.344092333
## 3587 3590 3591 3592 3593
## 4.273761384 7.858446951 2.708655642 2.142771611 -14.512861926
## 3594 3595 3596 3597 3598
## -15.563778399 -16.347366009 -18.431568178 -17.523131525 -12.890364983
## 3599 3600 3601 3602 3603
## -14.196600401 -0.084217828 3.081277135 4.744664443 1.838705809
## 3604 3605 3606 3607 3608
## 1.362941056 -1.860945117 3.289970784 4.383736892 3.204856716
## 3609 3610 3612 3613 3614
## 1.129091582 1.645503209 2.520256083 1.503844457 3.532726537
## 3615 3616 3617 3618 3619
## -1.015894332 5.488046841 1.435465929 3.519393446 -12.455785171
## 3620 3621 3627 3630 3631
## 3.910701252 -1.526991460 -11.782646553 -2.271347449 -0.140912026
## 3632 3633 3634 3635 3636
## 22.601316242 -17.808843364 -20.290844297 -14.543254820 -13.636219633
## 3637 3640 3641 3642 3643
## -12.329984215 -14.720790214 2.378067936 15.957773029 1.795637909
## 3644 3645 3646 3647 3648
## 10.179225900 3.351039934 1.389564070 7.384643372 8.813852701
## 3649 3650 3651 3652 3655
## 1.436500889 -1.346702623 8.687851251 -4.136525460 3.530384649
## 3656 3657 3658 3659 3661
## 1.749091092 -0.240732508 -0.661606126 -1.680312760 15.532864613
## 3662 3664 3666 3667 3668
## 11.269569169 3.226098794 4.197830128 -12.774495340 5.028028649
## 3669 3670 3671 3672 3673
## 2.991090813 -16.509492286 -12.402092548 0.356170520 9.943700448
## 3676 3677 3679 3680 3681
## -2.291139705 -2.384905813 17.474803396 5.043935855 -11.421033561
## 3682 3685 3686 3688 3689
## 12.260260569 -2.809180829 -20.800855035 7.255283317 4.270989284
## 3690 3691 3692 3693 3695
## 2.267583873 2.230878172 -4.475356864 0.986724671 -11.836645069
## 3697 3698 3699 3702 3706
## -5.036871506 0.171039043 -0.804584437 11.721294984 -0.035741962
## 3707 3708 3709 3710 3711
## 1.176114887 -0.077003203 0.794728703 0.829976740 4.305741493
## 3712 3714 3716 3721 3722
## 5.814833832 5.917401305 3.808315886 1.682905596 12.793083331
## 3723 3724 3725 3726 3729
## 1.118742718 3.575413133 -0.912116414 -12.745574485 9.424072051
## 3730 3732 3733 3734 3735
## -11.823576527 -4.877174763 0.307201818 -19.590514587 0.922433646
## 3736 3737 3738 3739 3740
## -3.975132983 -5.190037189 3.087841079 0.444900724 9.298017289
## 3741 3742 3743 3744 3745
## 2.926194090 2.769135208 0.416016737 -13.236393405 3.181605280
## 3746 3747 3748 3749 3750
## 3.488146372 10.934411816 16.353118068 1.247590980 4.512471957
## 3751 3752 3753 3754 3755
## 1.316414275 1.888145990 6.945468992 2.616154084 -19.022703014
## 3756 3757 3758 3759 3760
## -16.932879986 -20.328938431 1.936733686 2.708309484 -3.375910049
## 3761 3762 3763 3765 3766
## 0.270971479 9.968534911 3.125444760 2.144153683 2.790545354
## 3767 3769 3770 3774 3775
## 6.096780772 8.561445970 1.338799307 -21.269803960 4.711948661
## 3776 3777 3779 3780 3781
## 0.349943692 3.570850035 2.005950845 6.883319416 11.489554070
## 3782 3783 3784 3786 3787
## 10.457467761 2.108254555 -0.962862793 -0.179223692 6.938999834
## 3788 3789 3790 3791 3792
## -15.755746122 -18.237747055 -11.976930513 3.857481325 3.294186644
## 3793 3794 3796 3797 3798
## -1.007556372 -0.313791790 11.228288738 -1.377241211 5.347264715
## 3799 3800 3801 3802 3804
## -0.892483137 0.451071395 1.672397077 1.585041614 3.869265020
## 3805 3806 3807 3813 3815
## -1.262623008 -22.915740717 0.170276638 12.145287337 9.742992712
## 3819 3822 3823 3825 3826
## -20.002015177 -1.543738948 1.592967134 1.639299990 1.007941565
## 3827 3828 3829 3830 3831
## 1.001118931 5.341765042 -0.054211368 -2.734350369 1.732747108
## 3832 3833 3834 3835 3836
## -13.675579446 -0.096950275 0.106344433 0.453226725 2.569666755
## 3837 3838 3839 3840 3841
## 2.671867991 -13.157939914 0.296702730 -1.007239587 -22.168891633
## 3842 3845 3846 3847 3849
## -20.209538507 6.033609727 3.574256601 7.741576500 22.017340490
## 3850 3851 3852 3853 3854
## -0.736021290 4.602906810 -0.795972589 14.216499772 1.661779160
## 3855 3859 3860 3861 3862
## 8.757271138 0.089389521 1.694916608 -0.610611242 1.335563864
## 3863 3864 3865 3866 3867
## 3.452368703 -1.019049662 -1.978402788 3.477989412 3.871754757
## 3868 3869 3871 3874 3875
## 3.529697189 -1.946137200 -16.684812404 -12.249425554 -0.804837888
## 3876 3877 3878 3880 3887
## 2.554516764 -5.715107106 -11.719386254 -14.331857089 -11.774391199
## 3888 3889 3890 3891 3892
## -12.950156715 -21.092255360 -16.645280442 -21.092255360 2.664502868
## 3893 3894 3895 3897 3898
## 2.683209501 -11.683945724 1.826203895 10.713991396 0.808162539
## 3900 3901 3902 3903 3904
## 1.544867096 -0.866626270 7.340485752 4.411229488 -19.125465352
## 3905 3906 3907 3908 3909
## 3.320502780 10.930387674 0.360404138 -11.688910952 -0.027831640
## 3910 3911 3912 3913 3914
## 5.126816684 -15.557537632 -13.069915840 0.509723485 3.993310905
## 3915 3917 3918 3919 3920
## 0.747810243 -14.810915281 -16.247620600 9.056928798 1.456230116
## 3921 3922 3923 3924 3925
## 17.415585149 1.602586145 -0.636448528 0.947140227 8.513700600
## 3926 3927 3928 3929 3930
## 0.217642536 1.301017284 -2.262277397 -1.249806944 1.048818861
## 3931 3932 3933 3934 3935
## 7.694554876 12.146616833 2.560192421 -0.428857384 -1.847563636
## 3936 3937 3938 3940 3941
## 0.546907369 -0.121291260 -1.084585560 4.350264038 -1.574678395
## 3942 3944 3945 3947 3948
## 17.312852678 -5.520610045 5.443694906 -11.828981457 9.198380731
## 3949 3950 3951 3952 3953
## -21.265181488 -20.612063779 -0.597364201 3.066503511 1.764628829
## 3956 3957 3958 3959 3960
## -12.174391452 4.597872929 0.330745305 1.342510099 6.511408950
## 3962 3963 3965 3966 3967
## 3.311409141 0.398938115 4.724619771 1.100044669 -0.684393259
## 3968 3969 3970 3972 3973
## -16.414903165 -19.226107949 -19.356577851 2.909382000 21.648746527
## 3974 3975 3976 3977 3978
## 9.835569270 -17.718578074 -16.542812558 3.701603921 4.224251728
## 3979 3980 3981 3982 3983
## -22.286176815 -12.358941283 -12.358941283 6.183011277 5.748599057
## 3984 3985 3986 3988 3989
## 7.896551514 -19.367227155 3.576071887 -11.626451357 -2.302539501
## 3990 3991 3992 3993 3995
## -11.932981435 0.396853799 6.114497610 3.373759635 11.393401019
## 3996 3997 3998 4000 4001
## -14.268657575 -18.840481536 -16.881128410 3.385821983 0.594477203
## 4002 4003 4004 4005 4007
## 1.557771503 -15.294099001 -14.510511390 -13.740978539 7.568312872
## 4008 4009 4010 4014 4015
## 13.986311558 -14.184618900 -15.490854317 -2.247302742 -1.694185415
## 4016 4018 4019 4020 4022
## 3.267343046 4.087252541 3.837042871 6.546605667 -1.817518896
## 4024 4025 4027 4028 4029
## -1.345694363 -0.002754199 -1.345801983 1.076232028 2.388701719
## 4030 4031 4032 4033 4034
## -2.278772238 3.068373208 0.413304712 0.372387719 3.731741417
## 4035 4037 4038 4039 4043
## -4.051647148 9.149545816 2.090192308 4.083958035 2.852624671
## 4044 4045 4046 4048 4050
## -16.098862686 -19.239602187 0.501656292 2.686593183 16.447269763
## 4051 4052 4054 4055 4056
## 14.581678930 -0.214889887 1.406110228 6.693639012 -11.840771682
## 4057 4058 4059 4061 4064
## -19.331041328 10.218404860 7.924639895 -13.441088785 -13.590182888
## 4065 4066 4067 4068 4069
## -12.475279063 -14.565102091 -0.221320551 -0.768203605 16.496562467
## 4070 4071 4072 4073 4074
## 10.290327431 7.649680176 2.407408342 3.266761087 1.990995189
## 4075 4076 4082 4083 4084
## 4.075531142 5.595169758 2.401483468 -11.373574863 -13.124788934
## 4086 4087 4088 4089 4090
## 4.272024181 -3.072129938 -21.511534938 -15.835866024 -12.478936621
## 4092 4093 4094 4095 4101
## 6.018595694 -4.705639362 5.520048387 0.009927488 1.446517367
## 4109 4110 4111 4112 4114
## 10.241536913 0.254009274 1.353533661 1.368297214 1.600404970
## 4116 4117 4118 4119 4120
## 2.020108847 2.480182380 4.161476509 -1.159139732 -0.799281622
## 4122 4123 4126 4128 4129
## 7.690700515 -1.243710750 -2.496198161 3.195550310 3.077550862
## 4130 4132 4133 4134 4135
## 0.324432772 -4.706665028 1.796101592 3.053161809 5.143158531
## 4136 4137 4138 4139 4140
## 15.825066074 3.096741987 2.049859886 2.276807270 1.658953819
## 4141 4143 4144 4145 4146
## -11.916902573 -2.208554952 0.472901337 6.897136203 17.537781551
## 4147 4148 4149 4150 4151
## 3.670896508 4.197641128 1.010018573 1.005602930 -1.017044877
## 4152 4153 4154 4155 4156
## -0.910672019 2.926033872 -2.533319254 1.220215740 1.941355173
## 4157 4158 4159 4160 4161
## 2.218707556 5.503409125 2.049926613 7.370972274 6.777208073
## 4162 4163 4164 4165 4166
## 3.849516616 2.749469517 11.217539295 -3.387958550 -1.418724545
## 4167 4168 4169 4170 4171
## 3.383146740 5.897382555 -2.403976768 -20.987157832 3.604728921
## 4172 4174 4175 4178 4179
## -3.617918696 3.010246403 -0.832694715 -1.092047078 0.214107013
## 4180 4181 4182 4183 4184
## 5.531528960 7.560411040 13.962428834 3.159996607 4.241209636
## 4185 4186 4187 4188 4189
## 0.135612388 -21.008346314 -13.170933810 3.492854489 -0.293700539
## 4190 4191 4192 4193 4195
## 2.261617643 0.196122108 1.680196572 15.501693565 3.517225508
## 4196 4197 4198 4200 4201
## -11.914108963 17.169315649 2.631945573 -1.886273911 2.445257078
## 4202 4203 4206 4207 4208
## -0.363403297 -2.847016363 2.518496059 14.050816289 16.138344310
## 4209 4210 4211 4212 4214
## 2.315106674 5.412813956 3.111440739 2.750032726 3.903434696
## 4215 4216 4217 4218 4219
## 1.097199278 0.877386046 0.530503755 -12.101950976 9.154492966
## 4220 4221 4222 4223 4224
## 7.511552611 1.688846779 4.448200096 2.195082006 2.431026772
## 4227 4228 4229 4230 4231
## -11.806466955 -11.686866615 9.318661999 6.157767385 -21.226472629
## 4232 4233 4234 4235 4236
## -15.471019913 -12.361335147 -15.496453789 2.666914003 -2.425989246
## 4237 4238 4239 4241 4242
## 4.486480826 0.159479658 -4.341489764 -3.547724800 -3.635254728
## 4243
## 4.430334960
## attr(,"label")
## [1] "RECODE of p14bmi (CHILD BODY MASS INDEX 14)"
## attr(,"format.stata")
## [1] "%9.0g"plot(mreg2, which=1)
plot(mreg2)
hist(mreg2$residuals)
ad.test(resid(mreg2))##
## Anderson-Darling normality test
##
## data: resid(mreg2)
## A = 146.99, p-value < 2.2e-16psid7$residuals## Warning: Unknown or uninitialised column: `residuals`.## NULLboxplot(psid7$cbmi)
## According to the ad.test the residuals are not normally distributed, additional plots and histograms were developed to indicate this distribution. There appears to be much variance within the model as far as residuals. As far as other assumptions it feels like some relevant independent variables were excluded, like personally i feel the region of the country could play a decent role in childhood bmi, but with the variables available that possibly was not included. Its possible there are way too many irrelevant independent variables such as mothers smoking habits in here.
## Part 2. To fix these solutions, i propose adding in, or excluding certain independent variables to help strengthen the model. In model 2 additional models related to relevant demographic or behavioral patterns will better the model overall. Since appears there are issues with fit, and normality we could try transforming both the dependent variables, and some of the independent variables. I really dont think there are measurement issues, or other types thus far. I do believe in the dependent variable there is probably alot of variation, which again could muddy the results, which according to the boxplot there are a lot of outliers, the x variable does not immediately appear to be normally distributed.##14). Based on the analysis you’ve done so far, write a short paragraph to summarize your findings regarding the relationship between family socioeconomic background and child’s body mass index.
## In regards to the relationship between socioeconomic background and child's body mass (cbmi) index several key findings were demonstrated in the current models. There are statistically significant relationships between race, age, and family income, and the age of the child on cbmi. In the original model family income and mothers smoking habits (informed by our literature) were found to have a negative and positive effect respectively. However the association between mothers smoking and cbmi disappeared when other key demographic variables were introduced to the model such as children age and race. In the extended model, for each unit increase in family income cbmi would decrease in average by 5.70, and the other racial category have a difference in cbmi on average of about 2.15. For each unit increase in age, cbmi would increase on average by 6.53, these associations are statistically significant holding all other variabels in the model constant.