Modelo lineal (Modelo 1)

mod1 <- lm(Ht~DAP_cm, datos)
summary(mod1)

## 
## Call:
## lm(formula = Ht ~ DAP_cm, data = datos)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.7873 -0.3332  0.1699  0.4914  0.5707 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 9.808989   0.042341   231.7   <2e-16 ***
## DAP_cm      0.465573   0.001866   249.5   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.6222 on 1239 degrees of freedom
## Multiple R-squared:  0.9805, Adjusted R-squared:  0.9805 
## F-statistic: 6.225e+04 on 1 and 1239 DF,  p-value: < 2.2e-16

{par(mfrow=c(2,2))
plot(mod1)}

• Cálculo de ANOVA

anova(mod1)

## Analysis of Variance Table
## 
## Response: Ht
##             Df  Sum Sq Mean Sq F value    Pr(>F)    
## DAP_cm       1 24099.9 24099.9   62252 < 2.2e-16 ***
## Residuals 1239   479.7     0.4                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

• Residuales Vs Predichos

Residuales1 <- residuals(mod1)
predichos1 <- predict(mod1)
plot(Residuales1~predichos1)

ggplot(datos, aes(predichos1, Residuales1))+
   geom_point()+
   geom_smooth(method = "lm")

• Verificación de la normalidad de los residuales

shapiro.test(Residuales1)

## 
##  Shapiro-Wilk normality test
## 
## data:  Residuales1
## W = 0.79301, p-value < 2.2e-16

• Cálculo del error

# Error absoluto
Error1 <- abs(((predichos1-datos$Ht)/datos$Ht)*100)
Error1

##            1            2            3            4            5 
## 2.539357e+00 2.065793e+00 2.500776e+00 2.244201e+00 2.529567e+00 
##            6            7            8            9           10 
## 1.996401e+00 1.501614e+00 2.082458e+00 2.426733e+00 1.075139e+00 
##           11           12           13           14           15 
## 2.544402e+00 2.148060e+00 2.660929e+00 2.370921e+00 2.555750e+00 
##           16           17           18           19           20 
## 2.390449e+00 2.155243e+00 2.553909e+00 2.467058e+00 2.513079e+00 
##           21           22           23           24           25 
## 2.403299e+00 2.555750e+00 8.804327e-01 2.455131e+00 2.556687e+00 
##           26           27           28           29           30 
## 2.521602e+00 2.500884e+00 2.019650e+00 2.401747e+00 2.518941e+00 
##           31           32           33           34           35 
## 2.547365e+00 4.781126e-01 2.495248e+00 2.474891e+00 2.528186e+00 
##           36           37           38           39           40 
## 2.245761e+00 1.902199e+00 2.534526e+00 2.199945e+00 2.266164e+00 
##           41           42           43           44           45 
## 1.075349e+00 2.515510e+00 2.536345e+00 2.388713e+00 1.656251e+00 
##           46           47           48           49           50 
## 2.135548e+00 2.544402e+00 1.579051e+00 2.521602e+00 2.561304e+00 
##           51           52           53           54           55 
## 5.554846e-01 1.630038e+00 2.556687e+00 1.738722e+00 2.224503e+00 
##           56           57           58           59           60 
## 1.973032e+00 2.324759e+00 2.545515e+00 2.065793e+00 2.508116e+00 
##           61           62           63           64           65 
## 2.468341e+00 2.543671e+00 2.041495e+00 2.551078e+00 2.543671e+00 
##           66           67           68           69           70 
## 2.497086e+00 2.541159e+00 2.152889e-01 2.201446e+00 2.442748e+00 
##           71           72           73           74           75 
## 9.643740e-01 2.365796e+00 2.524473e+00 2.064476e+00 7.149384e-01 
##           76           77           78           79           80 
## 1.020273e+00 2.490611e+00 1.360854e+00 2.378426e+00 2.533245e+00 
##           81           82           83           84           85 
## 2.541832e+00 7.674344e-01 2.518108e+00 2.406417e+00 2.526879e+00 
##           86           87           88           89           90 
## 2.551078e+00 1.705414e+00 2.526327e+00 2.497442e+00 2.460052e+00 
##           91           92           93           94           95 
## 2.551078e+00 2.201446e+00 2.552073e+00 1.553696e+00 2.563166e+00 
##           96           97           98           99          100 
## 2.468341e+00 2.385258e+00 2.549219e+00 2.386983e+00 2.535091e+00 
##          101          102          103          104          105 
## 2.440965e+00 2.539998e+00 2.513654e+00 2.548415e+00 1.579051e+00 
##          106          107          108          109          110 
## 2.176184e+00 2.524473e+00 7.108254e-01 2.439187e+00 2.383538e+00 
##          111          112          113          114          115 
## 1.344944e+00 2.488914e+00 2.242646e+00 2.317679e+00 2.364098e+00 
##          116          117          118          119          120 
## 2.519239e+00 2.535768e+00 2.383538e+00 2.520151e+00 2.176184e+00 
##          121          122          123          124          125 
## 6.445194e-01 7.244888e-01 6.530308e-01 2.492312e+00 2.329735e+00 
##          126          127          128          129          130 
## 2.264581e+00 1.047480e+00 2.156684e+00 2.518108e+00 2.531921e+00 
##          131          132          133          134          135 
## 2.326413e+00 2.520151e+00 2.080292e+00 1.900029e+00 2.222128e+00 
##          136          137          138          139          140 
## 2.297692e+00 2.542966e+00 2.448127e+00 1.680647e+00 2.455131e+00 
##          141          142          143          144          145 
## 2.532712e+00 2.544777e+00 2.148060e+00 2.493416e+00 2.284799e+00 
##          146          147          148          149          150 
## 2.555750e+00 2.081374e+00 2.560453e+00 1.053728e+00 2.538169e+00 
##          151          152          153          154          155 
## 2.539357e+00 2.149234e+00 2.513079e+00 7.888814e-01 2.557596e+00 
##          156          157          158          159          160 
## 7.108254e-01 1.973032e+00 2.523716e+00 2.375398e+00 2.329735e+00 
##          161          162          163          164          165 
## 2.519853e+00 1.604912e+00 2.544777e+00 2.526879e+00 2.223659e+00 
##          166          167          168          169          170 
## 1.657865e+00 1.902199e+00 2.527735e+00 2.548163e+00 4.000343e-02 
##          171          172          173          174          175 
## 2.427272e+00 2.222128e+00 1.804132e+00 2.530420e+00 2.537560e+00 
##          176          177          178          179          180 
## 1.353790e+00 2.527300e+00 2.538800e+00 8.038091e-01 2.266164e+00 
##          181          182          183          184          185 
## 2.320519e+00 2.555750e+00 2.344881e+00 2.495248e+00 2.110089e+00 
##          186          187          188          189          190 
## 1.353790e+00 2.551078e+00 2.152889e-01 2.245662e+00 2.542966e+00 
##          191          192          193          194          195 
## 2.530420e+00 8.244252e-01 2.488914e+00 2.521931e+00 2.537560e+00 
##          196          197          198          199          200 
## 2.329735e+00 2.272227e+00 1.576952e+00 2.715932e-01 6.824252e-01 
##          201          202          203          204          205 
## 2.531921e+00 2.548415e+00 2.557596e+00 2.528647e+00 2.064476e+00 
##          206          207          208          209          210 
## 2.451872e+00 2.177650e+00 2.504450e+00 2.523357e+00 1.186270e+00 
##          211          212          213          214          215 
## 1.995180e+00 1.184177e+00 2.513079e+00 2.511803e+00 2.246977e+00 
##          216          217          218          219          220 
## 9.370776e-01 2.515510e+00 2.329735e+00 2.044069e+00 1.047480e+00 
##          221          222          223          224          225 
## 2.498928e+00 3.036014e+00 2.309765e+00 2.548415e+00 2.546280e+00 
##          226          227          228          229          230 
## 2.376910e+00 2.044069e+00 9.643740e-01 2.492312e+00 1.853344e+00 
##          231          232          233          234          235 
## 1.878304e-01 2.506280e+00 2.533245e+00 2.390449e+00 2.517107e+00 
##          236          237          238          239          240 
## 2.537560e+00 2.220603e+00 1.679891e+00 2.531403e+00 2.156684e+00 
##          241          242          243          244          245 
## 1.246326e+00 2.530903e+00 4.490404e-01 2.543671e+00 1.923694e+00 
##          246          247          248          249          250 
## 2.544777e+00 2.467058e+00 2.490611e+00 2.421970e+00 2.555750e+00 
##          251          252          253          254          255 
## 1.424143e+00 2.484006e+00 1.755428e+00 2.437951e+00 5.740806e-01 
##          256          257          258          259          260 
## 2.465240e+00 6.815444e-01 6.098423e-02 2.565032e+00 2.486936e-01 
##          261          262          263          264          265 
## 2.565032e+00 2.548415e+00 1.102481e+00 2.546280e+00 1.102646e+00 
##          266          267          268          269          270 
## 2.520151e+00 1.238176e+00 8.804327e-01 2.283196e+00 2.531403e+00 
##          271          272          273          274          275 
## 2.470011e+00 7.956436e-01 2.394042e+00 2.110089e+00 2.538169e+00 
##          276          277          278          279          280 
## 2.509957e+00 1.450106e+00 2.199945e+00 2.511323e+00 1.755428e+00 
##          281          282          283          284          285 
## 2.446329e+00 2.482172e+00 7.602017e-01 2.128413e+00 2.497086e+00 
##          286          287          288          289          290 
## 2.375398e+00 2.520151e+00 3.106983e-01 2.500776e+00 2.998063e+00 
##          291          292          293          294          295 
## 6.361176e+00 6.988815e+00 6.719837e+00 5.250671e+00 1.219609e+00 
##          296          297          298          299          300 
## 1.397408e+00 6.845083e+00 7.108254e-01 2.421970e+00 2.230036e+00 
##          301          302          303          304          305 
## 3.218509e+00 4.936051e-01 2.122526e+00 1.884505e+00 2.497086e+00 
##          306          307          308          309          310 
## 5.083064e-01 2.465012e+00 5.958098e-01 4.395454e+00 3.729978e-01 
##          311          312          313          314          315 
## 1.153012e+00 3.489937e+00 2.477009e+00 5.753110e+00 1.947238e+00 
##          316          317          318          319          320 
## 1.528494e+00 1.344944e+00 2.715932e-01 3.334219e+00 2.544402e+00 
##          321          322          323          324          325 
## 6.098423e-02 6.219920e-02 1.460259e+00 9.104919e-02 3.179637e-02 
##          326          327          328          329          330 
## 1.657865e+00 1.770019e+00 2.199945e+00 2.796593e-01 3.756475e+00 
##          331          332          333          334          335 
## 2.388713e+00 6.604063e-01 1.969854e+00 4.718410e+00 2.104254e+00 
##          336          337          338          339          340 
## 1.906358e+00 9.267339e-02 1.119836e+00 5.579203e-02 2.482172e+00 
##          341          342          343          344          345 
## 2.385258e+00 3.529126e+00 1.576512e+00 5.207131e+00 1.597070e+00 
##          346          347          348          349          350 
## 1.947238e+00 7.667120e+00 1.852330e+00 8.305415e+00 3.529126e+00 
##          351          352          353          354          355 
## 6.940765e+00 7.956436e-01 1.426269e+00 1.253030e+00 1.909952e+00 
##          356          357          358          359          360 
## 2.518941e+00 7.108254e-01 5.047213e+00 5.947769e-01 2.633974e-01 
##          361          362          363          364          365 
## 2.367499e+00 4.322465e-01 2.798928e-01 2.500776e+00 1.053728e+00 
##          366          367          368          369          370 
## 2.527300e+00 2.544402e+00 5.966315e-01 6.892854e+00 5.648587e-01 
##          371          372          373          374          375 
## 4.071313e-01 1.246376e+00 7.717073e+00 2.474891e+00 3.106983e-01 
##          376          377          378          379          380 
## 6.221972e+00 1.219609e+00 7.924997e-01 6.988815e+00 1.450106e+00 
##          381          382          383          384          385 
## 3.836255e+00 2.879617e-02 2.552943e+00 2.071197e+00 1.475929e+00 
##          386          387          388          389          390 
## 2.735166e+00 3.716745e+00 2.370885e+00 2.153807e+00 1.808258e-01 
##          391          392          393          394          395 
## 5.740806e-01 5.753110e+00 1.475929e+00 1.265298e+00 6.259068e-01 
##          396          397          398          399          400 
## 7.602017e-01 2.329735e+00 4.592141e+00 8.804327e-01 3.923790e+00 
##          401          402          403          404          405 
## 5.015413e-01 1.153012e+00 7.674344e-01 7.389467e+00 2.809790e+00 
##          406          407          408          409          410 
## 5.015413e-01 2.178011e-01 2.123326e-01 4.961243e+00 7.163963e+00 
##          411          412          413          414          415 
## 1.735255e+00 2.194108e+00 2.155243e+00 8.872987e+00 2.423732e+00 
##          416          417          418          419          420 
## 2.283196e+00 1.020273e+00 6.530308e-01 4.355942e-01 4.953773e-01 
##          421          422          423          424          425 
## 4.347421e-01 4.355942e-01 1.994049e+00 2.735166e+00 7.789262e+00 
##          426          427          428          429          430 
## 3.177295e+00 1.426269e+00 2.302169e+00 1.211207e+00 2.922458e+00 
##          431          432          433          434          435 
## 2.660929e+00 5.456132e+00 6.604063e-01 2.559448e+00 6.361176e+00 
##          436          437          438          439          440 
## 4.000343e-02 7.391618e-01 3.411871e+00 3.106983e-01 1.980451e+00 
##          441          442          443          444          445 
## 1.460259e+00 4.385262e-01 1.631486e+00 5.958098e-01 2.448127e+00 
##          446          447          448          449          450 
## 1.019971e+00 2.477009e+00 5.520485e+00 3.608234e+00 1.324803e+00 
##          451          452          453          454          455 
## 5.648587e-01 6.314788e+00 6.988815e+00 1.973032e+00 1.604271e+00 
##          456          457          458          459          460 
## 7.717073e+00 1.902199e+00 1.884505e+00 3.026759e-01 4.699961e-01 
##          461          462          463          464          465 
## 4.503304e-01 2.557596e+00 1.424143e+00 7.789262e+00 1.170978e+00 
##          466          467          468          469          470 
## 2.294915e+00 1.497236e+00 2.223218e+00 4.148801e+00 1.926577e+00 
##          471          472          473          474          475 
## 5.753110e+00 1.705414e+00 4.490404e-01 2.403299e+00 3.411871e+00 
##          476          477          478          479          480 
## 1.700579e+00 6.815444e-01 6.625282e+00 1.578450e+00 4.312788e+00 
##          481          482          483          484          485 
## 2.370921e+00 1.501614e+00 5.798042e+00 1.970788e+00 4.170387e-01 
##          486          487          488          489          490 
## 1.902199e+00 2.437951e+00 1.047736e+00 1.265443e+00 2.157503e+00 
##          491          492          493          494          495 
## 2.152889e-01 1.808258e-01 2.152773e+00 3.084915e-02 9.551707e-01 
##          496          497          498          499          500 
## 7.888814e-01 9.392752e-02 3.887633e+00 8.898650e-01 5.958098e-01 
##          501          502          503          504          505 
## 2.796593e-01 1.825994e-01 7.438679e+00 2.222128e+00 2.846176e+00 
##          506          507          508          509          510 
## 6.824252e-01 2.525909e+00 8.898650e-01 1.320120e+00 1.129883e+00 
##          511          512          513          514          515 
## 1.516962e+00 1.754559e+00 2.421970e+00 2.491589e+00 8.809712e-01 
##          516          517          518          519          520 
## 6.988815e+00 4.676204e+00 2.122526e+00 1.886155e+00 5.204671e-01 
##          521          522          523          524          525 
## 5.004168e+00 2.129563e+00 4.042588e-01 5.015413e-01 1.020796e+00 
##          526          527          528          529          530 
## 5.500298e+00 6.098423e-02 3.716745e+00 1.704620e+00 4.849434e+00 
##          531          532          533          534          535 
## 6.098423e-02 7.389467e+00 1.770019e+00 2.158271e+00 1.124767e+01 
##          536          537          538          539          540 
## 1.494334e+00 5.331621e-01 3.614232e-01 2.321944e+00 1.804132e+00 
##          541          542          543          544          545 
## 4.271624e+00 2.453499e+00 3.320833e-01 2.697999e+00 4.676204e+00 
##          546          547          548          549          550 
## 8.248761e-01 1.665989e+00 8.804327e-01 2.708960e+00 2.326413e+00 
##          551          552          553          554          555 
## 1.020796e+00 1.423785e+00 2.385258e+00 3.663537e+00 1.379019e+00 
##          556          557          558          559          560 
## 1.206781e+01 2.459815e+00 2.875006e+00 3.036014e+00 1.324803e+00 
##          561          562          563          564          565 
## 6.815444e-01 1.928335e+00 1.053728e+00 7.488035e+00 2.497086e+00 
##          566          567          568          569          570 
## 2.483852e+00 2.550292e+00 7.888814e-01 1.324803e+00 1.527973e-01 
##          571          572          573          574          575 
## 1.392363e+00 1.358541e+00 2.518108e+00 1.909952e+00 1.878304e-01 
##          576          577          578          579          580 
## 1.735255e+00 2.477009e+00 1.874836e+00 8.248761e-01 5.500298e+00 
##          581          582          583          584          585 
## 2.268180e+00 2.513603e+00 1.291618e+00 6.314788e+00 2.400690e+00 
##          586          587          588          589          590 
## 2.560453e+00 2.044069e+00 1.528494e+00 2.419971e-01 2.122526e+00 
##          591          592          593          594          595 
## 2.369388e+00 4.676204e+00 2.218112e+00 2.623954e+00 2.219082e+00 
##          596          597          598          599          600 
## 1.320120e+00 4.312788e+00 3.450852e+00 2.440509e+00 1.730884e+00 
##          601          602          603          604          605 
## 5.798042e+00 1.022087e+00 1.102481e+00 2.998063e+00 1.778708e+00 
##          606          607          608          609          610 
## 2.482172e+00 6.100694e+00 8.573311e-01 5.589005e+00 7.115479e+00 
##          611          612          613          614          615 
## 5.207131e+00 9.125375e-01 3.074065e+00 3.074065e+00 6.672491e+00 
##          616          617          618          619          620 
## 3.177295e+00 1.597070e+00 2.158271e+00 1.042768e-01 4.071313e-01 
##          621          622          623          624          625 
## 2.090041e+00 5.947769e-01 2.385258e+00 2.458017e+00 2.960211e+00 
##          626          627          628          629          630 
## 1.397408e+00 2.654421e+00 2.509957e+00 2.549219e+00 7.963272e-01 
##          631          632          633          634          635 
## 2.174903e+00 2.364098e+00 4.042588e-01 2.347863e+00 1.845267e-01 
##          636          637          638          639          640 
## 2.302169e+00 2.542966e+00 2.365796e+00 2.531921e+00 2.442748e+00 
##          641          642          643          644          645 
## 3.011211e-01 1.438974e+00 2.248295e+00 2.194108e+00 3.011211e-01 
##          646          647          648          649          650 
## 1.808258e-01 1.012267e+00 2.269526e+00 1.902199e+00 1.371247e+00 
##          651          652          653          654          655 
## 2.328072e+00 2.488142e+00 1.264970e+00 2.440965e+00 2.546331e+00 
##          656          657          658          659          660 
## 1.878100e+00 1.341933e+00 2.370885e+00 2.326413e+00 1.680647e+00 
##          661          662          663          664          665 
## 2.480344e+00 2.423565e+00 2.177650e+00 1.778938e+00 1.654313e+00 
##          666          667          668          669          670 
## 7.956436e-01 1.923694e+00 2.548163e+00 2.245761e+00 2.484006e+00 
##          671          672          673          674          675 
## 2.529099e+00 1.186270e+00 2.364098e+00 2.533981e+00 2.437951e+00 
##          676          677          678          679          680 
## 2.556687e+00 3.295547e+00 2.555750e+00 4.699961e-01 1.494334e+00 
##          681          682          683          684          685 
## 2.242646e+00 6.815444e-01 2.400198e+00 2.321944e+00 2.531403e+00 
##          686          687          688          689          690 
## 1.397408e+00 1.265443e+00 2.148060e+00 2.067114e+00 2.431516e+00 
##          691          692          693          694          695 
## 2.326413e+00 2.489768e+00 2.516367e+00 1.020273e+00 1.019971e+00 
##          696          697          698          699          700 
## 1.799736e+00 2.111469e+00 6.219920e-02 1.799736e+00 2.493416e+00 
##          701          702          703          704          705 
## 2.563166e+00 2.527735e+00 2.156684e+00 2.347806e+00 1.656788e+00 
##          706          707          708          709          710 
## 8.898650e-01 2.390449e+00 2.245761e+00 2.542966e+00 2.245662e+00 
##          711          712          713          714          715 
## 2.105369e+00 1.112235e-01 2.245761e+00 2.404570e+00 1.018981e-02 
##          716          717          718          719          720 
## 2.516606e+00 1.119725e+00 1.047736e+00 2.796593e-01 2.421324e+00 
##          721          722          723          724          725 
## 2.325422e+00 2.328072e+00 2.442748e+00 1.804132e+00 1.700579e+00 
##          726          727          728          729          730 
## 3.906959e-01 1.102646e+00 2.243041e+00 2.426733e+00 1.211207e+00 
##          731          732          733          734          735 
## 2.444536e+00 1.730884e+00 6.219920e-02 2.177650e+00 1.516594e+00 
##          736          737          738          739          740 
## 7.244888e-01 1.086742e+00 1.528205e+00 1.842703e+00 1.900029e+00 
##          741          742          743          744          745 
## 2.525505e+00 5.371955e-01 1.947238e+00 2.041495e+00 2.176184e+00 
##          746          747          748          749          750 
## 2.544402e+00 2.266164e+00 2.161254e+00 2.526879e+00 6.530308e-01 
##          751          752          753          754          755 
## 1.322704e+00 2.324759e+00 1.318499e+00 2.535768e+00 2.283196e+00 
##          756          757          758          759          760 
## 1.102481e+00 1.449707e+00 2.060735e+00 2.540992e+00 2.324759e+00 
##          761          762          763          764          765 
## 8.804327e-01 2.466674e+00 1.596486e+00 1.153012e+00 2.326413e+00 
##          766          767          768          769          770 
## 6.284805e-01 6.968499e-01 2.467058e+00 1.211221e+00 1.842703e+00 
##          771          772          773          774          775 
## 1.527162e+00 2.525909e+00 1.086742e+00 1.729221e+00 7.956436e-01 
##          776          777          778          779          780 
## 1.971845e+00 1.718276e+00 2.563166e+00 4.355942e-01 1.655749e+00 
##          781          782          783          784          785 
## 2.320519e+00 2.532712e+00 2.152889e-01 2.541832e+00 2.328072e+00 
##          786          787          788          789          790 
## 1.578450e+00 2.134134e+00 2.493416e+00 2.269526e+00 2.197106e+00 
##          791          792          793          794          795 
## 4.467301e+00 2.088689e+00 2.525909e+00 4.927071e+00 1.928335e+00 
##          796          797          798          799          800 
## 2.516367e+00 2.319097e+00 1.808258e-01 1.527162e+00 1.869815e-01 
##          801          802          803          804          805 
## 1.886155e+00 1.157060e+00 2.019650e+00 1.579051e+00 2.112852e+00 
##          806          807          808          809          810 
## 6.924090e-01 1.730051e+00 2.041495e+00 3.450852e+00 2.557302e+00 
##          811          812          813          814          815 
## 1.676454e+00 2.198449e+00 1.424143e+00 2.533796e+00 7.674344e-01 
##          816          817          818          819          820 
## 2.292151e+00 1.509697e-01 2.509957e+00 1.973032e+00 2.201446e+00 
##          821          822          823          824          825 
## 2.458017e+00 2.058626e+00 5.648587e-01 1.527973e-01 2.546280e+00 
##          826          827          828          829          830 
## 9.370776e-01 6.824252e-01 1.654313e+00 2.293531e+00 1.096250e+00 
##          831          832          833          834          835 
## 1.869815e-01 1.700579e+00 1.075349e+00 2.151590e+00 2.155243e+00 
##          836          837          838          839          840 
## 2.406316e+00 2.446329e+00 2.178011e-01 9.924011e-01 2.532712e+00 
##          841          842          843          844          845 
## 8.573311e-01 2.715932e-01 4.738952e-01 1.825994e-01 1.324803e+00 
##          846          847          848          849          850 
## 2.135548e+00 2.134134e+00 9.366349e-01 2.465012e+00 3.614232e-01 
##          851          852          853          854          855 
## 2.306489e+00 2.176184e+00 4.042588e-01 2.528647e+00 1.730051e+00 
##          856          857          858          859          860 
## 2.561304e+00 1.876241e+00 1.925932e+00 1.358541e+00 1.945157e+00 
##          861          862          863          864          865 
## 3.568420e+00 5.648587e-01 6.192300e+00 3.011211e-01 1.232192e-01 
##          866          867          868          869          870 
## 3.529126e+00 4.693861e-01 4.833181e+00 1.291763e+00 1.528205e+00 
##          871          872          873          874          875 
## 2.847248e+00 2.367499e+00 7.956436e-01 4.503304e-01 1.238118e+00 
##          876          877          878          879          880 
## 1.075349e+00 2.697999e+00 1.075139e+00 3.700368e+00 3.482170e-01 
##          881          882          883          884          885 
## 5.004168e+00 1.419193e+00 6.845083e+00 7.789262e+00 1.172649e+01 
##          886          887          888          889          890 
## 1.735255e+00 1.779844e+00 1.700579e+00 2.660929e+00 3.821092e-01 
##          891          892          893          894          895 
## 7.212589e+00 2.036007e+00 4.395454e+00 7.212589e+00 5.004168e+00 
##          896          897          898          899          900 
## 3.256977e+00 3.418111e-01 2.104254e+00 6.192300e+00 8.244252e-01 
##          901          902          903          904          905 
## 3.906959e-01 3.489937e+00 2.266056e+00 3.084915e-02 1.948389e+00 
##          906          907          908          909          910 
## 4.961243e+00 5.886795e+00 1.020273e+00 1.538369e-01 3.180143e+00 
##          911          912          913          914          915 
## 5.753110e+00 5.207131e+00 4.718410e+00 2.112852e+00 6.314788e+00 
##          916          917          918          919          920 
## 5.500298e+00 4.676204e+00 5.152659e+00 5.633546e+00 5.753110e+00 
##          921          922          923          924          925 
## 7.789262e+00 6.940765e+00 1.874836e+00 2.328072e+00 2.556687e+00 
##          926          927          928          929          930 
## 6.625282e+00 4.071313e-01 1.464667e-03 2.014510e+00 1.825994e-01 
##          931          932          933          934          935 
## 1.075139e+00 2.429917e+00 8.359896e+00 6.361176e+00 6.454355e+00 
##          936          937          938          939          940 
## 6.192300e+00 2.266056e+00 3.568420e+00 8.244252e-01 5.633546e+00 
##          941          942          943          944          945 
## 1.020273e+00 1.066244e+01 9.224781e-01 1.020796e+00 4.108082e+00 
##          946          947          948          949          950 
## 6.604063e-01 2.286406e+00 2.198449e+00 1.735255e+00 3.411871e+00 
##          951          952          953          954          955 
## 1.562739e+00 1.285318e-01 8.860740e-02 5.892532e-01 5.163714e+00 
##          956          957          958          959          960 
## 4.189631e+00 5.544589e+00 2.051308e+00 6.845083e+00 2.879617e-02 
##          961          962          963          964          965 
## 2.517372e+00 5.843102e+00 3.372994e+00 9.924011e-01 1.324803e+00 
##          966          967          968          969          970 
## 5.163714e+00 3.489937e+00 3.180143e+00 1.210443e-01 7.617314e+00 
##          971          972          973          974          975 
## 5.250671e+00 2.559448e+00 2.122526e+00 5.500298e+00 5.500298e+00 
##          976          977          978          979          980 
## 7.617314e+00 2.772429e+00 1.874836e+00 3.529126e+00 6.845083e+00 
##          981          982          983          984          985 
## 3.489937e+00 2.513603e+00 1.228701e+00 1.344713e+00 2.199945e+00 
##          986          987          988          989          990 
## 5.250671e+00 5.798042e+00 3.836255e+00 4.108082e+00 6.284805e-01 
##          991          992          993          994          995 
## 6.988815e+00 4.718410e+00 2.266056e+00 3.180143e+00 4.189631e+00 
##          996          997          998          999         1000 
## 2.051308e+00 6.314788e+00 8.659563e+00 1.874836e+00 6.100472e+00 
##         1001         1002         1003         1004         1005 
## 2.884804e+00 7.261358e+00 2.798928e-01 4.634115e+00 7.212589e+00 
##         1006         1007         1008         1009         1010 
## 6.314788e+00 1.973032e+00 7.212589e+00 2.922458e+00 1.553696e+00 
##         1011         1012         1013         1014         1015 
## 1.264970e+00 5.294332e+00 4.108082e+00 7.438679e+00 1.805076e+00 
##         1016         1017         1018         1019         1020 
## 2.199945e+00 6.672491e+00 5.207131e+00 2.065793e+00 6.437087e-04 
##         1021         1022         1023         1024         1025 
## 2.064476e+00 1.821672e+00 9.636965e-01 2.466674e+00 2.015834e+00 
##         1026         1027         1028         1029         1030 
## 4.592141e+00 2.442748e+00 1.677016e+00 2.521602e+00 6.625282e+00 
##         1031         1032         1033         1034         1035 
## 2.809790e+00 2.055413e+00 2.112852e+00 3.084915e-02 2.922458e+00 
##         1036         1037         1038         1039         1040 
## 1.018981e-02 5.544589e+00 3.179637e-02 7.888814e-01 7.168763e-01 
##         1041         1042         1043         1044         1045 
## 2.548163e+00 6.021656e+00 1.665989e+00 2.341970e+00 7.438679e+00 
##         1046         1047         1048         1049         1050 
## 2.477009e+00 9.643740e-01 1.075349e+00 1.086742e+00 3.372994e+00 
##         1051         1052         1053         1054         1055 
## 1.874836e+00 4.385262e-01 5.888291e+00 4.592141e+00 6.719837e+00 
##         1056         1057         1058         1059         1060 
## 1.157134e+00 6.940765e+00 2.123326e-01 7.115479e+00 2.531403e+00 
##         1061         1062         1063         1064         1065 
## 2.123326e-01 3.614232e-01 3.074065e+00 3.074065e+00 5.843102e+00 
##         1066         1067         1068         1069         1070 
## 1.926577e+00 1.878342e+00 3.139931e-01 5.004168e+00 8.616600e+00 
##         1071         1072         1073         1074         1075 
## 9.551707e-01 2.178011e-01 1.874836e+00 5.083064e-01 8.804327e-01 
##         1076         1077         1078         1079         1080 
## 3.607818e+00 2.230036e+00 2.486936e-01 3.796311e+00 6.892854e+00 
##         1081         1082         1083         1084         1085 
## 2.957318e+00 2.478521e+00 5.456132e+00 7.261358e+00 5.798042e+00 
##         1086         1087         1088         1089         1090 
## 1.730884e+00 9.454899e+00 4.108082e+00 2.544402e+00 2.241096e+00 
##         1091         1092         1093         1094         1095 
## 2.152889e-01 3.997110e+00 3.796311e+00 2.288019e+00 2.697999e+00 
##         1096         1097         1098         1099         1100 
## 6.454355e+00 5.250671e+00 1.527162e+00 3.450852e+00 2.488914e+00 
##         1101         1102         1103         1104         1105 
## 7.488035e+00 6.192300e+00 2.067114e+00 7.212589e+00 6.454355e+00 
##         1106         1107         1108         1109         1110 
## 5.456132e+00 5.047213e+00 2.502629e+00 6.314788e+00 9.643740e-01 
##         1111         1112         1113         1114         1115 
## 5.633546e+00 6.578209e+00 1.825994e-01 3.180143e+00 2.557302e+00 
##         1116         1117         1118         1119         1120 
## 2.086872e+00 5.294332e+00 4.490404e-01 1.170942e+00 4.698636e+00 
##         1121         1122         1123         1124         1125 
## 6.940765e+00 2.288019e+00 2.735166e+00 6.845083e+00 7.602017e-01 
##         1126         1127         1128         1129         1130 
## 3.956733e+00 2.513603e+00 6.625282e+00 6.054754e+00 6.845083e+00 
##         1131         1132         1133         1134         1135 
## 7.389467e+00 4.833181e+00 6.146320e+00 6.940765e+00 7.389467e+00 
##         1136         1137         1138         1139         1140 
## 1.086742e+00 5.331621e-01 2.385258e+00 4.354065e+00 1.232192e-01 
##         1141         1142         1143         1144         1145 
## 1.845267e-01 3.756475e+00 3.334219e+00 5.047213e+00 4.354065e+00 
##         1146         1147         1148         1149         1150 
## 1.324803e+00 8.248761e-01 1.654313e+00 1.804132e+00 5.633546e+00 
##         1151         1152         1153         1154         1155 
## 3.836255e+00 4.230571e+00 1.318310e+00 4.108082e+00 5.843102e+00 
##         1156         1157         1158         1159         1160 
## 3.074065e+00 2.015834e+00 5.371955e-01 1.805076e+00 1.211207e+00 
##         1161         1162         1163         1164         1165 
## 6.284805e-01 5.371955e-01 2.152889e-01 5.544589e+00 1.058108e+00 
##         1166         1167         1168         1169         1170 
## 3.256977e+00 6.054754e+00 1.246326e+00 6.192300e+00 1.303534e+00 
##         1171         1172         1173         1174         1175 
## 1.020796e+00 2.431516e+00 6.625282e+00 3.489937e+00 2.526879e+00 
##         1176         1177         1178         1179         1180 
## 6.192300e+00 1.246326e+00 4.148801e+00 7.667120e+00 1.475929e+00 
##         1181         1182         1183         1184         1185 
## 4.918438e+00 1.839809e+00 2.338375e+00 5.047213e+00 3.489937e+00 
##         1186         1187         1188         1189         1190 
## 2.283196e+00 1.075139e+00 7.717073e+00 2.548163e+00 8.573311e-01 
##         1191         1192         1193         1194         1195 
## 1.945157e+00 2.273583e+00 3.106983e-01 2.847248e+00 2.065793e+00 
##         1196         1197         1198         1199         1200 
## 9.366349e-01 2.194108e+00 2.623954e+00 2.194108e+00 1.945157e+00 
##         1201         1202         1203         1204         1205 
## 1.020796e+00 2.486936e-01 5.331621e-01 4.918438e+00 1.426269e+00 
##         1206         1207         1208         1209         1210 
## 2.523716e+00 3.529126e+00 5.843102e+00 2.502629e+00 1.902199e+00 
##         1211         1212         1213         1214         1215 
## 7.212589e+00 1.909952e+00 1.948389e+00 4.189631e+00 1.562739e+00 
##         1216         1217         1218         1219         1220 
## 2.427272e+00 1.517330e+00 1.426269e+00 9.370776e-01 4.148801e+00 
##         1221         1222         1223         1224         1225 
## 6.530308e-01 6.146320e+00 4.718410e+00 6.539609e-01 9.366349e-01 
##         1226         1227         1228         1229         1230 
## 3.836255e+00 2.525115e+00 2.534526e+00 2.439187e+00 2.201446e+00 
##         1231         1232         1233         1234         1235 
## 5.047213e+00 2.051308e+00 9.672285e-01 2.552073e+00 6.054754e+00 
##         1236         1237         1238         1239         1240 
## 8.248761e-01 7.488035e+00 1.909952e+00 7.566462e-01 2.715932e-01 
##         1241 
## 2.051308e+00

mean(Error1)

## [1] 2.481516

sd(Error1)

## [1] 1.841579

• Suma de cuadrados de los residuales

sqrt(sum(Residuales1^2)/summary(mod1)$df[2])

## [1] 0.6222003

AIC

AIC(mod1)

## [1] 2348.112

Modelo cuadrático (Modelos 2)

mod2 <- lm(Ht~DAP_cm+I(DAP_cm^2),datos)
summary(mod2)

## 
## Call:
## lm(formula = Ht ~ DAP_cm + I(DAP_cm^2), data = datos)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.36854 -0.08481  0.04423  0.10650  1.28200 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  7.369e+00  2.001e-02   368.2   <2e-16 ***
## DAP_cm       6.683e-01  1.499e-03   445.8   <2e-16 ***
## I(DAP_cm^2) -3.379e-03  2.384e-05  -141.7   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.15 on 1238 degrees of freedom
## Multiple R-squared:  0.9989, Adjusted R-squared:  0.9989 
## F-statistic: 5.458e+05 on 2 and 1238 DF,  p-value: < 2.2e-16

{par(mfrow=c(2,2))
plot(mod2)}

• Análisis de varianza para el modelo cuadrático

anova(mod2)

## Analysis of Variance Table
## 
## Response: Ht
##               Df  Sum Sq Mean Sq F value    Pr(>F)    
## DAP_cm         1 24099.9 24099.9 1071599 < 2.2e-16 ***
## I(DAP_cm^2)    1   451.8   451.8   20090 < 2.2e-16 ***
## Residuals   1238    27.8     0.0                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

• Residuales vs Predichos

Residuales2 <- residuals(mod2)
predichos2 <- predict(mod2)
plot(Residuales2~predichos2, main = "Residuales Vs Predichos Modelo Cuadrático")

ggplot(mod2, aes(predichos2, mod2$residuals)) +
   geom_point() +
   geom_smooth(method = "lm")

• Verificamos la normalidad de los residuales

shapiro.test(Residuales2)

## 
##  Shapiro-Wilk normality test
## 
## data:  Residuales2
## W = 0.83838, p-value < 2.2e-16

• Cálculo del error

#  Error absoluto
Error2 <- abs(((predichos2-datos$Ht)/datos$Ht)*100)
Error2

##            1            2            3            4            5 
## 0.1436636722 0.6488590894 0.4350540289 0.5974643564 0.2583926671 
##            6            7            8            9           10 
## 0.6668302689 0.6856725143 0.3824280920 0.0672326833 0.6897321560 
##           11           12           13           14           15 
## 0.3418819069 0.3285890016 0.1883777018 0.5546400404 0.2131275985 
##           16           17           18           19           20 
## 0.5385537300 0.6103195287 0.2048285471 0.4836617493 0.1040930327 
##           21           22           23           24           25 
## 0.0934358790 0.2131275985 0.6887739042 0.0299420205 0.3064536463 
##           26           27           28           29           30 
## 0.0799466612 0.0606692025 0.6604938533 0.0963231645 0.3022958773 
##           31           32           33           34           35 
## 0.2572221218 0.6410688530 0.3962861302 0.3918732542 0.3582591754 
##           36           37           38           39           40 
## 0.6157810679 0.6956989387 0.1946544040 0.6032426066 0.5950561820 
##           41           42           43           44           45 
## 0.6610124617 0.4009689898 0.2031454394 0.5227023489 0.6170564763 
##           46           47           48           49           50 
## 0.6537725602 0.3418819069 0.7016444889 0.0799466612 0.2389103113 
##           51           52           53           54           55 
## 1.0163842185 0.7044370927 0.3064536463 0.5860954725 0.2760430590 
##           56           57           58           59           60 
## 0.6735162668 0.5223301857 0.2478335921 0.6488590894 0.3524531678 
##           61           62           63           64           65 
## 0.0043802849 0.2385961875 0.6338238369 0.2764550604 0.2385961875 
##           66           67           68           69           70 
## 0.4090422955 0.1508065285 0.4713708554 0.6220719228 0.4526540489 
##           71           72           73           74           75 
## 0.6968726978 0.5063683859 0.3353962185 0.6284486157 0.9618107541 
##           76           77           78           79           80 
## 0.6638466830 0.0287818808 0.7466372448 0.1219554375 0.2783324295 
##           81           82           83           84           85 
## 0.2295092865 0.6690569652 0.0688568088 0.0872832884 0.0976052627 
##           86           87           88           89           90 
## 0.2764550604 0.6975851211 0.3467476441 0.0494996363 0.0180520128 
##           91           92           93           94           95 
## 0.2764550604 0.6220719228 0.1966760861 0.7131671029 0.2478017569 
##           96           97           98           99          100 
## 0.0043802849 0.4915369444 0.2667624017 0.5070303483 0.2885338301 
##          101          102          103          104          105 
## 0.4385547073 0.2205722708 0.3885949935 0.1808085518 0.7016444889 
##          106          107          108          109          110 
## 0.5877239174 0.3353962185 0.6440943681 0.4246268841 0.4762213581 
##          111          112          113          114          115 
## 0.7096442702 0.0239371148 0.5793385791 0.1879278257 0.4906383410 
##          116          117          118          119          120 
## 0.4262112389 0.1298031066 0.4762213581 0.1319840557 0.5877239174 
##          121          122          123          124          125 
## 0.9708365815 0.3638684231 0.6504882020 0.0337599856 0.5726007149 
##          126          127          128          129          130 
## 0.5771828461 0.7058371381 0.6296685807 0.0688568088 0.3817652613 
##          131          132          133          134          135 
## 0.5389031298 0.1319840557 0.3780003280 0.6512269030 0.6001923638 
##          136          137          138          139          140 
## 0.2086508325 0.1580918653 0.4959886231 0.7077877593 0.0299420205 
##          141          142          143          144          145 
## 0.1863108146 0.1655202605 0.3285890016 0.3836954889 0.5579078791 
##          146          147          148          149          150 
## 0.2131275985 0.3802677201 0.3272262774 0.2928130163 0.2117845256 
##          151          152          153          154          155 
## 0.1436636722 0.3300754158 0.1040930327 0.3417080158 0.2215738403 
##          156          157          158          159          160 
## 0.6440943681 0.6735162668 0.1467836173 0.1269265207 0.5726007149 
##          161          162          163          164          165 
## 0.0743338423 0.7154874435 0.1655202605 0.0976052627 0.6187644948 
##          166          167          168          169          170 
## 0.6361448379 0.6956989387 0.2486530274 0.3643258854 1.1296686144 
##          171          172          173          174          175 
## 0.4942142060 0.6001923638 0.6835760687 0.1100665998 0.1366627220 
##          176          177          178          179          180 
## 0.1959253002 0.1621587232 0.3094028915 0.9498940099 0.5950561820 
##          181          182          183          184          185 
## 0.1857370412 0.2131275985 0.1610023798 0.3962861302 0.6187148292 
##          186          187          188          189          190 
## 0.1959253002 0.2764550604 0.4713708554 0.2550199757 0.1580918653 
##          191          192          193          194          195 
## 0.1100665998 0.6635493174 0.0239371148 0.1393121850 0.1366627220 
##          196          197          198          199          200 
## 0.5726007149 0.2326012774 0.6692371056 0.5899560716 0.6316287496 
##          201          202          203          204          205 
## 0.3817652613 0.1808085518 0.2215738403 0.1037666697 0.6284486157 
##          206          207          208          209          210 
## 0.0372232949 0.6066175113 0.3291685400 0.0856958074 0.2495956436 
##          211          212          213          214          215 
## 0.6456039557 0.7132341364 0.1040930327 0.3763848190 0.2549407954 
##          216          217          218          219          220 
## 0.6544872975 0.4009689898 0.5726007149 0.6753883059 0.7058371381 
##          221          222          223          224          225 
## 0.4219646915 0.2880891304 0.5911898417 0.1808085518 0.3530243231 
##          226          227          228          229          230 
## 0.1245030312 0.6753883059 0.6968726978 0.0337599856 0.6893745877 
##          231          232          233          234          235 
## 1.1455749872 0.3407303171 0.2783324295 0.5385537300 0.2915781944 
##          236          237          238          239          240 
## 0.1366627220 0.5818124075 0.6834862764 0.2682855888 0.6296685807 
##          241          242          243          244          245 
## 0.7891246958 0.1781140696 0.6289696604 0.2385961875 0.6440379322 
##          246          247          248          249          250 
## 0.1655202605 0.4836617493 0.0287818808 0.4501902855 0.2131275985 
##          251          252          253          254          255 
## 0.7231228369 0.4584291207 0.7019462323 0.0419342273 0.9910038567 
##          256          257          258          259          260 
## 0.4694454081 0.6628517321 0.5410612176 0.2568428256 0.4957281692 
##          261          262          263          264          265 
## 0.2568428256 0.1808085518 0.7026886852 0.3530243231 0.6740544821 
##          266          267          268          269          270 
## 0.1319840557 0.7114303844 0.6887739042 0.5406597269 0.2682855888 
##          271          272          273          274          275 
## 0.0092637476 0.6815538732 0.1088889218 0.6187148292 0.2117845256 
##          276          277          278          279          280 
## 0.3643377734 0.7102409776 0.6032426066 0.0974727935 0.7019462323 
##          281          282          283          284          285 
## 0.4813702586 0.4447805660 0.3909457765 0.3500922525 0.4090422955 
##          286          287          288          289          290 
## 0.1269265207 0.1319840557 0.4729339595 0.4350540289 0.2782023360 
##          291          292          293          294          295 
## 1.5868340551 1.8309491857 1.7181767115 1.1259812244 0.2388301496 
##          296          297          298          299          300 
## 0.6831229409 1.8018848904 0.6440943681 0.4501902855 0.0228432922 
##          301          302          303          304          305 
## 0.3838077040 1.1641953469 0.0077007697 0.5029994698 0.4090422955 
##          306          307          308          309          310 
## 0.6208731515 0.0049880716 0.6257934624 0.7725785909 0.4501941310 
##          311          312          313          314          315 
## 0.2603767345 0.4527335316 0.1378317566 1.3454787635 0.6372027475 
##          316          317          318          319          320 
## 0.1837242267 0.7096442702 0.5899560716 0.4134629066 0.3418819069 
##          321          322          323          324          325 
## 0.5410612176 0.5291688659 0.2047525135 0.5528107955 0.5407675153 
##          326          327          328          329          330 
## 0.6361448379 0.1106484944 0.6032426066 0.4843242908 0.5687868370 
##          331          332          333          334          335 
## 0.5227023489 0.3860869495 0.4495196273 0.8993550585 0.3647946589 
##          336          337          338          339          340 
## 0.4933009445 0.5175831712 0.2711733649 1.1224335300 0.4447805660 
##          341          342          343          344          345 
## 0.4915369444 0.4625025234 0.6622239170 1.1163792013 0.1627619718 
##          346          347          348          349          350 
## 0.6372027475 2.1441076820 0.6666772293 0.7295181311 0.4625025234 
##          351          352          353          354          355 
## 1.8212827943 0.6815538732 0.2152912651 0.2280803102 0.0692623989 
##          356          357          358          359          360 
## 0.3022958773 0.6440943681 1.0267104204 0.6575545802 1.0603855699 
##          361          362          363          364          365 
## 0.5222781562 1.1871794765 1.0650451708 0.4350540289 0.2928130163 
##          366          367          368          369          370 
## 0.1621587232 0.3418819069 0.4083631765 1.8115946642 0.4195227979 
##          371          372          373          374          375 
## 0.4755339342 0.7986760786 2.1539104450 0.3918732542 0.4729339595 
##          376          377          378          379          380 
## 0.2468743296 0.2388301496 0.3799819190 1.8309491857 0.7102409776 
##          381          382          383          384          385 
## 0.5883013131 0.5640034965 0.2863007298 0.0133973480 0.6977586048 
##          386          387          388          389          390 
## 0.2084685762 0.5590000206 0.1334571388 0.5911664423 0.5881342110 
##          391          392          393          394          395 
## 0.9910038567 1.3454787635 0.6977586048 0.7841318544 0.9960937726 
##          396          397          398          399          400 
## 0.3909457765 0.5726007149 0.8705469428 0.6887739042 0.9342042059 
##          401          402          403          404          405 
## 0.4418847995 0.2603767345 0.6690569652 2.0293265344 0.2284857371 
##          406          407          408          409          410 
## 0.4418847995 0.5071455466 0.5661257194 1.0075693146 1.9249962641 
##          411          412          413          414          415 
## 0.1210375485 0.0126796547 0.6103195287 1.0521197938 0.4646905879 
##          416          417          418          419          420 
## 0.5406597269 0.6638466830 0.6504882020 0.4275090724 1.1830615788 
##          421          422          423          424          425 
## 1.0261103852 0.4275090724 0.4439652747 0.2084685762 2.1921875549 
##          426          427          428          429          430 
## 1.0848273092 0.2152912651 0.0431170773 0.6704493611 0.2583720000 
##          431          432          433          434          435 
## 0.1883777018 1.2257960280 0.3860869495 0.2301678757 1.5868340551 
##          436          437          438          439          440 
## 1.1296686144 0.6565704518 0.4331369956 0.4729339595 0.0486723292 
##          441          442          443          444          445 
## 0.2047525135 0.4643034726 0.1523057612 0.6257934624 0.4959886231 
##          446          447          448          449          450 
## 0.6929854670 0.1378317566 0.4955970794 1.0106294502 0.2470052215 
##          451          452          453          454          455 
## 0.4195227979 1.5771793083 1.8309491857 0.6735162668 0.6905101180 
##          456          457          458          459          460 
## 2.1539104450 0.6956989387 0.5029994698 0.5686468365 0.4530870775 
##          461          462          463          464          465 
## 0.5964746897 0.2215738403 0.7231228369 2.1921875549 0.8167420027 
##          466          467          468          469          470 
## 0.2104325393 0.6966138379 0.2759234796 0.7146468278 0.4750504057 
##          471          472          473          474          475 
## 1.3454787635 0.6975851211 0.6289696604 0.0934358790 0.4331369956 
##          476          477          478          479          480 
## 0.1314434866 0.6628517321 1.6988783683 0.6765899240 0.7533494443 
##          481          482          483          484          485 
## 0.5546400404 0.6856725143 1.3551049283 0.4530145013 1.0372701278 
##          486          487          488          489          490 
## 0.6956989387 0.0419342273 0.6767848118 0.8028542030 1.2012238385 
##          491          492          493          494          495 
## 0.4713708554 0.5881342110 0.3338744619 0.5293241592 0.3253876213 
##          496          497          498          499          500 
## 0.3417080158 1.1004218655 0.9636912915 0.3471801236 0.6257934624 
##          501          502          503          504          505 
## 0.4843242908 0.5542286063 2.0390968437 0.6001923638 1.1189719280 
##          506          507          508          509          510 
## 0.6316287496 0.2390660359 0.3471801236 0.2066278271 0.6871054543 
##          511          512          513          514          515 
## 0.6884171009 0.6783091693 0.4501902855 0.3712696690 0.6586953020 
##          516          517          518          519          520 
## 1.8309491857 0.8897730690 0.0077007697 0.5115091565 1.0258715293 
##          521          522          523          524          525 
## 1.0171503637 0.3515499065 0.4388447310 0.4418847995 0.3036559238 
##          526          527          528          529          530 
## 1.2354201459 0.5410612176 0.5590000206 0.6735797620 0.7024897756 
##          531          532          533          534          535 
## 0.5410612176 2.0293265344 0.1106484944 0.0024982781 2.5762404972 
##          536          537          538          539          540 
## 0.1942301470 0.4306966893 0.5927411794 0.1844628668 0.6835760687 
##          541          542          543          544          545 
## 0.7437042057 0.0336468612 0.5806881835 0.1984323173 0.8897730690 
##          546          547          548          549          550 
## 0.3690329880 0.1418662452 0.6887739042 1.1478100487 0.5389031298 
##          551          552          553          554          555 
## 0.3036559238 0.6966781290 0.4915369444 1.0139802381 1.2298457877 
##          556          557          558          559          560 
## 3.2316705771 0.4278250492 1.1237109952 0.2880891304 0.2470052215 
##          561          562          563          564          565 
## 0.6628517321 0.4828550435 0.2928130163 2.0488454002 0.4090422955 
##          566          567          568          569          570 
## 0.0101976029 0.1581044263 0.3417080158 0.2470052215 0.5423435911 
##          571          572          573          574          575 
## 0.2258463407 0.2364176796 0.0688568088 0.0692623989 1.1455749872 
##          576          577          578          579          580 
## 0.1210375485 0.1378317566 0.0795832758 0.3690329880 1.2354201459 
##          581          582          583          584          585 
## 0.2337871520 0.1479770934 0.6829135679 1.5771793083 1.1866585963 
##          586          587          588          589          590 
## 0.3272262774 0.6753883059 0.1837242267 0.5780348884 0.0077007697 
##          591          592          593          594          595 
## 0.1353889743 0.8897730690 0.2743065214 0.1783048009 0.5636237644 
##          596          597          598          599          600 
## 0.2066278271 0.7533494443 0.4429449964 0.1276684855 0.7116903206 
##          601          602          603          604          605 
## 1.3551049283 0.8854404782 0.7026886852 0.2782023360 1.2106794863 
##          606          607          608          609          610 
## 0.4447805660 0.2821651378 0.3580990380 1.2546048799 1.9152569347 
##          611          612          613          614          615 
## 1.1163792013 0.9087513737 0.2979569096 0.2979569096 1.7085383790 
##          616          617          618          619          620 
## 1.0848273092 0.1627619718 0.0024982781 1.1167208181 0.4755339342 
##          621          622          623          624          625 
## 0.6638985782 0.6575545802 0.4915369444 0.4142920329 0.2682966011 
##          626          627          628          629          630 
## 0.6831229409 1.1635738535 0.3643377734 0.2667624017 0.6509521671 
##          631          632          633          634          635 
## 0.3145316475 0.4906383410 0.4388447310 0.5384841700 0.4829042727 
##          636          637          638          639          640 
## 0.0431170773 0.1580918653 0.5063683859 0.3817652613 0.4526540489 
##          641          642          643          644          645 
## 0.6018892275 0.7357704341 0.2547461955 0.0126796547 0.6018892275 
##          646          647          648          649          650 
## 0.5881342110 1.2098350995 0.2335081269 0.6956989387 0.6961813282 
##          651          652          653          654          655 
## 0.5556597015 0.0385011464 0.6969654416 0.4385547073 0.2611153140 
##          656          657          658          659          660 
## 0.6468886427 0.7704352286 0.1334571388 0.5389031298 0.7077877593 
##          661          662          663          664          665 
## 0.4313014250 0.0733137435 0.6066175113 0.6692299521 0.6693938065 
##          666          667          668          669          670 
## 0.6815538732 0.6440379322 0.3643258854 0.6157810679 0.4584291207 
##          671          672          673          674          675 
## 0.1700635709 0.2495956436 0.4906383410 0.1230842575 0.0419342273 
##          676          677          678          679          680 
## 0.3064536463 0.4035969720 0.2131275985 0.4530870775 0.1942301470 
##          681          682          683          684          685 
## 0.5793385791 0.6628517321 0.0990850945 0.1844628668 0.2682855888 
##          686          687          688          689          690 
## 0.6831229409 0.8028542030 0.3285890016 0.6694716744 0.0571601798 
##          691          692          693          694          695 
## 0.5389031298 0.3590079716 0.0635150221 0.6638466830 0.6929854670 
##          696          697          698          699          700 
## 0.5451186142 0.6385908865 0.5291688659 0.5451186142 0.3836954889 
##          701          702          703          704          705 
## 0.2478017569 0.2486530274 0.6296685807 0.1576784631 0.6235122054 
##          706          707          708          709          710 
## 0.3471801236 0.5385537300 0.6157810679 0.1580918653 0.2550199757 
##          711          712          713          714          715 
## 0.3666597772 1.0903759714 0.6157810679 0.4776479770 1.1172375802 
##          716          717          718          719          720 
## 0.1177553927 1.2134828812 0.6767848118 0.4843242908 0.0671304587 
##          721          722          723          724          725 
## 0.5728190442 0.5556597015 0.4526540489 0.6835760687 0.1314434866 
##          726          727          728          729          730 
## 0.6048057840 0.6740544821 0.2548338168 0.0672326833 0.6704493611 
##          731          732          733          734          735 
## 0.4669256506 0.7116903206 0.5291688659 0.6066175113 0.6808356741 
##          736          737          738          739          740 
## 0.3638684231 0.2819854778 0.7250810761 0.5297808993 0.6512269030 
##          741          742          743          744          745 
## 0.1543989349 0.6330891677 0.6372027475 0.6338238369 0.5877239174 
##          746          747          748          749          750 
## 0.3418819069 0.5950561820 0.5996125124 0.0976052627 0.6504882020 
##          751          752          753          754          755 
## 0.7765925667 0.5223301857 0.7235150629 0.1298031066 0.5406597269 
##          756          757          758          759          760 
## 0.7026886852 0.6841085000 0.3997506501 1.1665520016 0.5223301857 
##          761          762          763          764          765 
## 0.6887739042 0.0003701466 0.6529543372 0.2603767345 0.5389031298 
##          766          767          768          769          770 
## 0.3972178764 0.9740326735 0.4836617493 0.6982599557 0.5297808993 
##          771          772          773          774          775 
## 0.6739795357 0.2390660359 0.2819854778 0.6640485305 0.6815538732 
##          776          777          778          779          780 
## 0.6520141419 0.5974591325 0.2478017569 0.4275090724 0.7183708266 
##          781          782          783          784          785 
## 0.1857370412 0.1863108146 0.4713708554 0.2295092865 0.5556597015 
##          786          787          788          789          790 
## 0.6765899240 0.6339627716 0.3836954889 0.2335081269 0.2948675970 
##          791          792          793          794          795 
## 0.7992947010 0.6435554692 0.2390660359 0.6937776671 0.4828550435 
##          796          797          798          799          800 
## 0.0635150221 0.1868918760 0.5881342110 0.6739795357 0.5185763752 
##          801          802          803          804          805 
## 0.5115091565 0.7001653489 0.6604938533 0.7016444889 0.6586664028 
##          806          807          808          809          810 
## 0.3749704476 0.6877599135 0.6338238369 0.4429449964 0.1697733654 
##          811          812          813          814          815 
## 0.6068578022 0.5846067170 0.7231228369 0.3937611784 0.6690569652 
##          816          817          818          819          820 
## 0.2117433819 0.5763473355 0.3643377734 0.6735162668 0.6220719228 
##          821          822          823          824          825 
## 0.4142920329 0.3949511187 0.4195227979 0.5423435911 0.3530243231 
##          826          827          828          829          830 
## 0.6544872975 0.6316287496 0.6693938065 0.2111465950 0.8520512825 
##          831          832          833          834          835 
## 0.5185763752 0.1314434866 0.6610124617 0.3327185567 0.6103195287 
##          836          837          838          839          840 
## 0.4927296097 0.4813702586 0.5071455466 0.6801432488 0.1863108146 
##          841          842          843          844          845 
## 0.3580990380 0.5899560716 0.4212850432 0.5542286063 0.2470052215 
##          846          847          848          849          850 
## 0.6537725602 0.6339627716 0.6841371294 0.0049880716 0.5927411794 
##          851          852          853          854          855 
## 0.5566290899 0.5877239174 0.4388447310 0.1037666697 0.6877599135 
##          856          857          858          859          860 
## 0.2389103113 0.6587724093 0.6879478553 0.2364176796 0.0589587282 
##          861          862          863          864          865 
## 0.4722518934 0.4195227979 1.4946426569 0.6018892275 0.5060104768 
##          866          867          868          869          870 
## 0.4625025234 1.0179812953 0.9787010837 0.7102360733 0.7250810761 
##          871          872          873          874          875 
## 0.2384664947 0.5222781562 0.6815538732 0.5964746897 0.6837031950 
##          876          877          878          879          880 
## 0.6610124617 0.1984323173 0.6897321560 0.9864149548 1.0520027323 
##          881          882          883          884          885 
## 1.0171503637 0.7350368562 1.8018848904 2.1921875549 2.9417453621 
##          886          887          888          889          890 
## 0.1210375485 0.6925757906 0.1314434866 0.1883777018 1.1617817519 
##          891          892          893          894          895 
## 1.9347138935 0.4088516259 0.7725785909 1.9347138935 1.0171503637 
##          896          897          898          899          900 
## 0.3937118792 0.4615572234 0.3647946589 1.4946426569 0.6635493174 
##          901          902          903          904          905 
## 0.6048057840 0.4527335316 0.0329891226 0.5293241592 0.6587746504 
##          906          907          908          909          910 
## 1.0075693146 0.3765634391 0.6638466830 0.4944508286 0.3738845218 
##          911          912          913          914          915 
## 1.3454787635 1.1163792013 0.8993550585 0.6586664028 1.5771793083 
##          916          917          918          919          920 
## 1.2354201459 0.8897730690 0.6298183755 1.2641653163 1.3454787635 
##          921          922          923          924          925 
## 2.1921875549 1.8212827943 0.0795832758 0.5556597015 0.3064536463 
##          926          927          928          929          930 
## 1.6988783683 0.4755339342 0.5523790739 0.4250061965 0.5542286063 
##          931          932          933          934          935 
## 0.6897321560 0.0606451289 0.7627735707 1.5868340551 1.6060788910 
##          936          937          938          939          940 
## 1.4946426569 0.0329891226 0.4722518934 0.6635493174 1.2641653163 
##          941          942          943          944          945 
## 0.6638466830 2.1927721699 0.3362762996 0.3036559238 0.7049207558 
##          946          947          948          949          950 
## 0.3860869495 0.5753428464 0.5846067170 0.1210375485 0.4331369956 
##          951          952          953          954          955 
## 0.1732348143 1.0802983463 1.1244347565 1.1740912816 1.1067562003 
##          956          957          958          959          960 
## 0.7243528148 1.2450231264 0.0281516095 1.8018848904 0.5640034965 
##          961          962          963          964          965 
## 0.4135075047 1.3647097963 0.4233096066 0.6801432488 0.2470052215 
##          966          967          968          969          970 
## 1.1067562003 0.4527335316 0.3738845218 0.5645728493 2.1342832140 
##          971          972          973          974          975 
## 1.1259812244 0.2301678757 0.0077007697 1.2354201459 1.2354201459 
##          976          977          978          979          980 
## 2.1342832140 0.2184864069 0.0795832758 0.4625025234 1.8018848904 
##          981          982          983          984          985 
## 0.4527335316 0.1479770934 1.2361220567 0.6827224070 0.6032426066 
##          986          987          988          989          990 
## 1.1259812244 1.3551049283 0.5883013131 0.7049207558 0.3972178764 
##          991          992          993          994          995 
## 1.8309491857 0.8993550585 0.0329891226 0.3738845218 0.7243528148 
##          996          997          998          999         1000 
## 0.0281516095 1.5771793083 0.9077798691 0.0795832758 1.4754487465 
##         1001         1002         1003         1004         1005 
## 0.2484286067 1.9444097270 1.0650451708 0.8801703352 1.9347138935 
##         1006         1007         1008         1009         1010 
## 1.5771793083 0.6735162668 1.9347138935 0.2583720000 0.7131671029 
##         1011         1012         1013         1014         1015 
## 0.6969654416 1.1355621816 0.7049207558 2.0390968437 0.7068483758 
##         1016         1017         1018         1019         1020 
## 0.6032426066 1.7085383790 1.1163792013 0.6488590894 0.5175996642 
##         1021         1022         1023         1024         1025 
## 0.6284486157 1.2009042576 0.8881263393 0.0003701466 0.0384032676 
##         1026         1027         1028         1029         1030 
## 0.8705469428 0.4526540489 0.6131493966 0.0799466612 1.6988783683 
##         1031         1032         1033         1034         1035 
## 0.2284857371 1.1980107186 0.6586664028 0.5293241592 0.2583720000 
##         1036         1037         1038         1039         1040 
## 1.1172375802 1.2450231264 0.5407675153 0.3417080158 1.1966984486 
##         1041         1042         1043         1044         1045 
## 0.3643258854 0.3414734522 0.1418662452 0.1638441750 2.0390968437 
##         1046         1047         1048         1049         1050 
## 0.1378317566 0.6968726978 0.6610124617 0.2819854778 0.4233096066 
##         1051         1052         1053         1054         1055 
## 0.0795832758 0.4643034726 1.3742932765 0.8705469428 1.7181767115 
##         1056         1057         1058         1059         1060 
## 0.6719450363 1.8212827943 0.5661257194 1.9152569347 0.2682855888 
##         1061         1062         1063         1064         1065 
## 0.5661257194 0.5927411794 0.2979569096 0.2979569096 1.3647097963 
##         1066         1067         1068         1069         1070 
## 0.4750504057 0.7038105911 1.0587340749 1.0171503637 0.8796165014 
##         1071         1072         1073         1074         1075 
## 0.3253876213 0.5071455466 0.0795832758 0.6208731515 0.6887739042 
##         1076         1077         1078         1079         1080 
## 0.4819815630 0.0228432922 0.4957281692 0.5785539610 1.8115946642 
##         1081         1082         1083         1084         1085 
## 1.1096812091 0.4179909726 1.2257960280 1.9444097270 1.3551049283 
##         1086         1087         1088         1089         1090 
## 0.7116903206 1.3856282201 0.7049207558 0.3418819069 0.5614028822 
##         1091         1092         1093         1094         1095 
## 0.4713708554 0.6270913980 0.5785539610 0.5929654621 0.1984323173 
##         1096         1097         1098         1099         1100 
## 1.6060788910 1.1259812244 0.6739795357 0.4429449964 0.0239371148 
##         1101         1102         1103         1104         1105 
## 2.0488454002 1.4946426569 0.6694716744 1.9347138935 1.6060788910 
##         1106         1107         1108         1109         1110 
## 1.2257960280 1.0267104204 0.4483110225 1.5771793083 0.6968726978 
##         1111         1112         1113         1114         1115 
## 1.2641653163 1.6891967734 0.5542286063 0.3738845218 0.1697733654 
##         1116         1117         1118         1119         1120 
## 0.0179174212 1.1355621816 0.6289696604 0.8267989319 0.7503168801 
##         1121         1122         1123         1124         1125 
## 1.8212827943 0.5929654621 0.2084685762 1.8018848904 0.3909457765 
##         1126         1127         1128         1129         1130 
## 0.6174239367 0.1479770934 1.6988783683 1.4658195611 1.8018848904 
##         1131         1132         1133         1134         1135 
## 2.0293265344 0.9787010837 1.4850564759 1.8212827943 2.0293265344 
##         1136         1137         1138         1139         1140 
## 0.2819854778 0.4306966893 0.4915369444 0.7629742672 0.5060104768 
##         1141         1142         1143         1144         1145 
## 0.4829042727 0.5687868370 0.4134629066 1.0267104204 0.7629742672 
##         1146         1147         1148         1149         1150 
## 0.2470052215 0.3690329880 0.6693938065 0.6835760687 1.2641653163 
##         1151         1152         1153         1154         1155 
## 0.5883013131 0.7340386349 0.6962748496 0.7049207558 1.3647097963 
##         1156         1157         1158         1159         1160 
## 0.2979569096 0.0384032676 0.6330891677 0.7068483758 0.6704493611 
##         1161         1162         1163         1164         1165 
## 0.3972178764 0.6330891677 0.4713708554 1.2450231264 1.2087197375 
##         1166         1167         1168         1169         1170 
## 0.3937118792 1.4658195611 0.7891246958 1.4946426569 0.7824941466 
##         1171         1172         1173         1174         1175 
## 0.3036559238 0.0571601798 1.6988783683 0.4527335316 0.0976052627 
##         1176         1177         1178         1179         1180 
## 1.4946426569 0.7891246958 0.7146468278 2.1441076820 0.6977586048 
##         1181         1182         1183         1184         1185 
## 0.9979673604 0.0899212938 0.0532270876 1.0267104204 0.4527335316 
##         1186         1187         1188         1189         1190 
## 0.5406597269 0.6897321560 2.1539104450 0.3643258854 0.3580990380 
##         1191         1192         1193         1194         1195 
## 0.0589587282 0.2319725688 0.4729339595 0.2384664947 0.6488590894 
##         1196         1197         1198         1199         1200 
## 0.6841371294 0.0126796547 0.1783048009 0.0126796547 0.0589587282 
##         1201         1202         1203         1204         1205 
## 0.3036559238 0.4957281692 0.4306966893 0.9979673604 0.2152912651 
##         1206         1207         1208         1209         1210 
## 0.1467836173 0.4625025234 1.3647097963 0.4483110225 0.6956989387 
##         1211         1212         1213         1214         1215 
## 1.9347138935 0.0692623989 0.6587746504 0.7243528148 0.1732348143 
##         1216         1217         1218         1219         1220 
## 0.4942142060 0.6959093482 0.2152912651 0.6544872975 0.7146468278 
##         1221         1222         1223         1224         1225 
## 0.6504882020 1.4850564759 0.8993550585 0.6191736315 0.6841371294 
##         1226         1227         1228         1229         1230 
## 0.5883013131 0.0915818254 0.1946544040 0.4246268841 0.6220719228 
##         1231         1232         1233         1234         1235 
## 1.0267104204 0.0281516095 0.8923014577 0.1966760861 1.4658195611 
##         1236         1237         1238         1239         1240 
## 0.3690329880 2.0488454002 0.0692623989 0.3527809282 0.5899560716 
##         1241 
## 0.0281516095

• Media del error

mean(Error2)

## [1] 0.6042886

• Desviación estándar del error

sd(Error2)

## [1] 0.4595743

• Suma de cuadrados de los residuales

sqrt(sum(Residuales2^2)/summary(mod2)$df[2])

## [1] 0.1499655

• AIC

AIC(mod2)

## [1] -1182.421

Modelo Logarítmico (Modelo 3)

mod3 <- lm(log(Ht)~log(DAP_cm), datos)
mod3

## 
## Call:
## lm(formula = log(Ht) ~ log(DAP_cm), data = datos)
## 
## Coefficients:
## (Intercept)  log(DAP_cm)  
##       1.353        0.540

summary(mod3)

## 
## Call:
## lm(formula = log(Ht) ~ log(DAP_cm), data = datos)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -3.669e-04 -1.324e-04  1.733e-05  1.412e-04  3.216e-04 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 1.353e+00  3.511e-05   38548   <2e-16 ***
## log(DAP_cm) 5.400e-01  1.183e-05   45665   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.0001652 on 1239 degrees of freedom
## Multiple R-squared:      1,  Adjusted R-squared:      1 
## F-statistic: 2.085e+09 on 1 and 1239 DF,  p-value: < 2.2e-16

{par(mfrow=c(2,2))
plot(mod3)}

En este modelo solo hallamos los residulaes ya que el procesos para hallar los predichos se hace con un Factor de correción (FC) que se hace posteriormente.

• verificamos normalidad

Residuales3 <- residuals(mod3)
shapiro.test(Residuales3)

## 
##  Shapiro-Wilk normality test
## 
## data:  Residuales3
## W = 0.97111, p-value = 4.896e-15

Para encontrar los valores predichos, usamos un factor de correcion (FC)

FC <- exp(anova(mod3)$'Mean Sq'[2]/2)
FC

## [1] 1

predichos3 <- exp(predict(mod3))*FC

• Cálculo del error

Error3 <- abs(((predichos3-datos$Ht)/datos$Ht)*100)
Error3

##            1            2            3            4            5 
## 4.056369e-03 4.792180e-03 1.459643e-02 6.946395e-03 1.792116e-02 
##            6            7            8            9           10 
## 7.727279e-03 1.547355e-02 5.534930e-03 4.522517e-03 3.364564e-03 
##           11           12           13           14           15 
## 1.033412e-02 1.657517e-02 1.570569e-02 1.937037e-02 8.056198e-03 
##           16           17           18           19           20 
## 1.688351e-02 6.725376e-03 6.972388e-03 1.987145e-02 1.717809e-02 
##           21           22           23           24           25 
## 1.051921e-02 8.056198e-03 2.141901e-02 8.330715e-03 1.276478e-02 
##           26           27           28           29           30 
## 1.411707e-02 8.882090e-03 6.181970e-03 5.981170e-03 1.910458e-02 
##           31           32           33           34           35 
## 1.440347e-03 2.591403e-02 5.047034e-03 1.916516e-02 3.044857e-03 
##           36           37           38           39           40 
## 2.074582e-02 1.977447e-02 1.406578e-02 8.942959e-04 1.160245e-02 
##           41           42           43           44           45 
## 2.776059e-02 9.424168e-03 1.276623e-02 6.525099e-03 1.733850e-02 
##           46           47           48           49           50 
## 2.283210e-02 1.033412e-02 1.925815e-03 1.411707e-02 1.229670e-02 
##           51           52           53           54           55 
## 1.493688e-02 6.421265e-03 1.276478e-02 1.663986e-03 2.027584e-02 
##           56           57           58           59           60 
## 9.850627e-03 1.848483e-02 3.754622e-03 4.792180e-03 1.283494e-02 
##           61           62           63           64           65 
## 1.689704e-02 5.896479e-03 1.212029e-02 3.710848e-03 5.896479e-03 
##           66           67           68           69           70 
## 1.293931e-03 3.872805e-03 2.950198e-02 1.365318e-02 8.241197e-03 
##           71           72           73           74           75 
## 2.127361e-02 1.268919e-02 6.385673e-03 1.212147e-02 4.260007e-03 
##           76           77           78           79           80 
## 2.030629e-02 3.790309e-03 1.408689e-02 2.046267e-02 1.194822e-02 
##           81           82           83           84           85 
## 7.867252e-03 1.323484e-02 1.786519e-02 1.922980e-02 9.560482e-03 
##           86           87           88           89           90 
## 3.710848e-03 3.761733e-03 1.766532e-03 5.215344e-03 2.111399e-03 
##           91           92           93           94           95 
## 3.710848e-03 1.365318e-02 6.051308e-03 1.263375e-02 1.404416e-02 
##           96           97           98           99          100 
## 1.689704e-02 1.347967e-02 1.047690e-03 3.595322e-03 8.692576e-03 
##          101          102          103          104          105 
## 1.629158e-02 9.668263e-03 3.559891e-03 4.692345e-03 1.925815e-03 
##          106          107          108          109          110 
## 1.871604e-02 6.385673e-03 7.576184e-03 2.412311e-02 2.312983e-02 
##          111          112          113          114          115 
## 9.944695e-03 6.383936e-03 6.585463e-03 9.464498e-03 2.289529e-02 
##          116          117          118          119          120 
## 2.176125e-02 4.881333e-03 2.312983e-02 1.864238e-02 1.871604e-02 
##          121          122          123          124          125 
## 1.610947e-02 2.151303e-02 8.151865e-03 1.332523e-03 1.632421e-02 
##          126          127          128          129          130 
## 1.565914e-03 2.324046e-02 8.590084e-03 1.786519e-02 1.325046e-02 
##          131          132          133          134          135 
## 7.131216e-03 1.864238e-02 1.278058e-02 1.975081e-02 2.778456e-03 
##          136          137          138          139          140 
## 1.487671e-02 3.843425e-03 1.724076e-02 1.202093e-02 8.330715e-03 
##          141          142          143          144          145 
## 1.520075e-02 3.969420e-03 1.657517e-02 1.118332e-02 8.620522e-03 
##          146          147          148          149          150 
## 8.056198e-03 3.578713e-03 1.970172e-02 6.581881e-03 1.130082e-02 
##          151          152          153          154          155 
## 4.056369e-03 8.041186e-03 1.717809e-02 3.030083e-02 9.304003e-03 
##          156          157          158          159          160 
## 7.576184e-03 9.850627e-03 1.845085e-02 1.061114e-02 1.632421e-02 
##          161          162          163          164          165 
## 1.592081e-02 1.623527e-02 3.969420e-03 9.560482e-03 1.694945e-02 
##          166          167          168          169          170 
## 2.011198e-02 1.977447e-02 2.064124e-02 1.925449e-02 1.120868e-02 
##          171          172          173          174          175 
## 6.594218e-03 2.778456e-03 1.582382e-03 7.245952e-03 4.392935e-03 
##          176          177          178          179          180 
## 2.995308e-02 1.763078e-02 1.635895e-03 1.220493e-02 1.160245e-02 
##          181          182          183          184          185 
## 2.997024e-03 8.056198e-03 3.332678e-03 5.047034e-03 1.048800e-02 
##          186          187          188          189          190 
## 2.995308e-02 3.710848e-03 2.950198e-02 2.920476e-03 3.843425e-03 
##          191          192          193          194          195 
## 7.245952e-03 2.966816e-04 6.383936e-03 1.862458e-02 4.392935e-03 
##          196          197          198          199          200 
## 1.632421e-02 1.321766e-02 1.022576e-02 4.207147e-03 1.788320e-02 
##          201          202          203          204          205 
## 1.325046e-02 4.692345e-03 9.304003e-03 8.330157e-03 1.212147e-02 
##          206          207          208          209          210 
## 1.593018e-02 4.064673e-03 2.278211e-02 1.245504e-02 1.813897e-02 
##          211          212          213          214          215 
## 1.044201e-02 2.095985e-02 1.717809e-02 2.103669e-03 1.007928e-02 
##          216          217          218          219          220 
## 2.291029e-02 9.424168e-03 1.632421e-02 2.283447e-02 2.324046e-02 
##          221          222          223          224          225 
## 7.841204e-03 2.300453e-02 2.235111e-02 4.692345e-03 1.469929e-02 
##          226          227          228          229          230 
## 1.559605e-02 2.283447e-02 2.127361e-02 1.332523e-03 8.602671e-03 
##          231          232          233          234          235 
## 4.911023e-03 1.790577e-02 1.194822e-02 1.688351e-02 2.296963e-02 
##          236          237          238          239          240 
## 4.392935e-03 1.112169e-02 1.113976e-02 1.502395e-02 8.590084e-03 
##          241          242          243          244          245 
## 1.527981e-02 1.617240e-02 1.679162e-02 5.896479e-03 2.276877e-02 
##          246          247          248          249          250 
## 3.969420e-03 1.987145e-02 3.790309e-03 1.980041e-02 8.056198e-03 
##          251          252          253          254          255 
## 2.219251e-02 1.603313e-02 1.128732e-02 2.226682e-02 1.216537e-02 
##          256          257          258          259          260 
## 1.167841e-02 1.818901e-02 9.961463e-03 1.596078e-02 1.031522e-02 
##          261          262          263          264          265 
## 1.596078e-02 4.692345e-03 1.528448e-02 1.469929e-02 1.566239e-02 
##          266          267          268          269          270 
## 1.864238e-02 1.599276e-02 2.141901e-02 2.091422e-02 1.502395e-02 
##          271          272          273          274          275 
## 1.945243e-02 2.373792e-02 1.849997e-02 1.048800e-02 1.130082e-02 
##          276          277          278          279          280 
## 7.568092e-03 8.895245e-03 8.942959e-04 1.643400e-02 1.128732e-02 
##          281          282          283          284          285 
## 8.523196e-03 8.569303e-03 2.598017e-02 8.379086e-03 1.293931e-03 
##          286          287          288          289          290 
## 1.061114e-02 1.864238e-02 1.976894e-03 1.459643e-02 1.838909e-02 
##          291          292          293          294          295 
## 1.722536e-02 2.272244e-02 1.837853e-02 4.385156e-03 2.073855e-02 
##          296          297          298          299          300 
## 1.823664e-02 3.550260e-02 7.576184e-03 1.980041e-02 2.534673e-02 
##          301          302          303          304          305 
## 2.806272e-02 1.368723e-02 2.114449e-02 6.741360e-03 1.293931e-03 
##          306          307          308          309          310 
## 3.199406e-03 1.138147e-02 1.171842e-02 3.143806e-02 1.389515e-02 
##          311          312          313          314          315 
## 1.542269e-02 1.218905e-02 2.906474e-02 3.412890e-02 2.519471e-02 
##          316          317          318          319          320 
## 2.098149e-02 9.944695e-03 4.207147e-03 1.187959e-02 1.033412e-02 
##          321          322          323          324          325 
## 9.961463e-03 4.538836e-03 2.346970e-02 2.308617e-03 1.161040e-02 
##          326          327          328          329          330 
## 2.011198e-02 1.632997e-02 8.942959e-04 4.122762e-03 2.063898e-02 
##          331          332          333          334          335 
## 6.525099e-03 1.230902e-02 1.334075e-02 2.596682e-02 1.558492e-03 
##          336          337          338          339          340 
## 1.408861e-04 2.445753e-03 1.259053e-02 2.361078e-05 8.569303e-03 
##          341          342          343          344          345 
## 1.347967e-02 1.865991e-02 2.746860e-03 1.728562e-02 1.900233e-02 
##          346          347          348          349          350 
## 2.519471e-02 8.917871e-03 1.190384e-02 5.695452e-03 1.865991e-02 
##          351          352          353          354          355 
## 3.024007e-03 2.373792e-02 2.490243e-02 2.322060e-02 1.659508e-02 
##          356          357          358          359          360 
## 1.910458e-02 7.576184e-03 2.728103e-02 2.545800e-02 8.815808e-03 
##          361          362          363          364          365 
## 2.244178e-03 1.844918e-02 8.079084e-04 1.459643e-02 6.581881e-03 
##          366          367          368          369          370 
## 1.763078e-02 1.033412e-02 2.694650e-03 1.638357e-02 2.264615e-03 
##          371          372          373          374          375 
## 2.855336e-02 4.883163e-04 1.354085e-02 1.916516e-02 1.976894e-03 
##          376          377          378          379          380 
## 2.587678e-03 2.073855e-02 2.192631e-02 2.272244e-02 8.895245e-03 
##          381          382          383          384          385 
## 5.806787e-03 2.601200e-02 6.550492e-03 3.247146e-02 3.656419e-03 
##          386          387          388          389          390 
## 9.264624e-03 2.776989e-02 5.044437e-03 2.175983e-02 2.114357e-02 
##          391          392          393          394          395 
## 1.216537e-02 3.412890e-02 3.656419e-03 1.224819e-02 1.094236e-02 
##          396          397          398          399          400 
## 2.598017e-02 1.632421e-02 6.478841e-03 2.141901e-02 5.569536e-03 
##          401          402          403          404          405 
## 1.248374e-02 1.542269e-02 1.323484e-02 2.175618e-02 2.182586e-03 
##          406          407          408          409          410 
## 1.248374e-02 1.659984e-02 1.245314e-02 2.925240e-03 1.037396e-02 
##          411          412          413          414          415 
## 1.660063e-02 2.380043e-02 6.725376e-03 1.019892e-02 1.122784e-02 
##          416          417          418          419          420 
## 2.091422e-02 2.030629e-02 8.151865e-03 2.543424e-02 6.768817e-03 
##          421          422          423          424          425 
## 7.827922e-03 2.543424e-02 1.163512e-02 9.264624e-03 1.939583e-03 
##          426          427          428          429          430 
## 3.934463e-03 2.490243e-02 2.888125e-02 2.595447e-02 9.662983e-03 
##          431          432          433          434          435 
## 1.570569e-02 3.456006e-02 1.230902e-02 1.071707e-02 1.722536e-02 
##          436          437          438          439          440 
## 1.120868e-02 2.796653e-03 2.055431e-04 1.976894e-03 1.754999e-02 
##          441          442          443          444          445 
## 2.346970e-02 2.309896e-02 1.820593e-02 1.171842e-02 1.724076e-02 
##          446          447          448          449          450 
## 1.161543e-02 2.906474e-02 1.731159e-03 4.362513e-03 2.994445e-02 
##          451          452          453          454          455 
## 2.264615e-03 3.429980e-02 2.272244e-02 9.850627e-03 8.075990e-03 
##          456          457          458          459          460 
## 1.354085e-02 1.977447e-02 6.741360e-03 2.770597e-02 1.774218e-02 
##          461          462          463          464          465 
## 2.194809e-02 9.304003e-03 2.219251e-02 1.939583e-03 1.401541e-02 
##          466          467          468          469          470 
## 2.034371e-03 4.061256e-03 1.293668e-02 2.445681e-02 1.469792e-02 
##          471          472          473          474          475 
## 3.412890e-02 3.761733e-03 1.679162e-02 1.051921e-02 2.055431e-04 
##          476          477          478          479          480 
## 1.700414e-02 1.818901e-02 1.862141e-02 2.253238e-02 1.198095e-02 
##          481          482          483          484          485 
## 1.937037e-02 1.547355e-02 1.921888e-02 3.118272e-03 1.389480e-03 
##          486          487          488          489          490 
## 1.977447e-02 2.226682e-02 8.499162e-03 1.707904e-02 5.333547e-03 
##          491          492          493          494          495 
## 2.950198e-02 2.114357e-02 1.700101e-02 1.753106e-02 3.279806e-03 
##          496          497          498          499          500 
## 3.030083e-02 2.381870e-03 1.206420e-02 1.041077e-02 1.171842e-02 
##          501          502          503          504          505 
## 4.122762e-03 2.066489e-02 4.490067e-04 2.778456e-03 7.332313e-03 
##          506          507          508          509          510 
## 1.788320e-02 2.318557e-02 1.041077e-02 2.782872e-02 3.509321e-03 
##          511          512          513          514          515 
## 3.424483e-03 1.075950e-02 1.980041e-02 1.711654e-02 1.233426e-02 
##          516          517          518          519          520 
## 2.272244e-02 1.493355e-02 2.114449e-02 1.494182e-02 1.648466e-02 
##          521          522          523          524          525 
## 1.498876e-02 1.689418e-02 1.971243e-02 1.248374e-02 3.407010e-03 
##          526          527          528          529          530 
## 2.079468e-02 9.961463e-03 2.776989e-02 1.890700e-02 3.997456e-03 
##          531          532          533          534          535 
## 9.961463e-03 2.175618e-02 1.632997e-02 2.240004e-02 9.063019e-03 
##          536          537          538          539          540 
## 2.216242e-02 7.324314e-03 1.013192e-02 9.063841e-03 1.582382e-03 
##          541          542          543          544          545 
## 2.564290e-03 1.206729e-02 1.895680e-02 1.256469e-02 1.493355e-02 
##          546          547          548          549          550 
## 1.797961e-02 1.753956e-02 2.141901e-02 3.196317e-03 7.131216e-03 
##          551          552          553          554          555 
## 3.407010e-03 4.693791e-03 1.347967e-02 1.593504e-02 8.854851e-03 
##          556          557          558          559          560 
## 6.989557e-03 1.158903e-02 8.079919e-05 2.300453e-02 2.994445e-02 
##          561          562          563          564          565 
## 1.818901e-02 6.412342e-03 6.581881e-03 2.116571e-02 1.293931e-03 
##          566          567          568          569          570 
## 1.496959e-02 2.418576e-02 3.030083e-02 2.994445e-02 2.879697e-02 
##          571          572          573          574          575 
## 2.645972e-02 2.814069e-02 1.786519e-02 1.659508e-02 4.911023e-03 
##          576          577          578          579          580 
## 1.660063e-02 2.906474e-02 1.632469e-02 1.797961e-02 2.079468e-02 
##          581          582          583          584          585 
## 7.399838e-03 2.670194e-02 1.616178e-02 3.429980e-02 9.540948e-03 
##          586          587          588          589          590 
## 1.970172e-02 2.283447e-02 2.098149e-02 4.162273e-03 2.114449e-02 
##          591          592          593          594          595 
## 1.049365e-02 1.493355e-02 1.741883e-02 1.868877e-02 2.475320e-02 
##          596          597          598          599          600 
## 2.782872e-02 1.198095e-02 5.901016e-03 3.127526e-02 1.870148e-02 
##          601          602          603          604          605 
## 1.921888e-02 1.387869e-02 1.528448e-02 1.838909e-02 4.064851e-03 
##          606          607          608          609          610 
## 8.569303e-03 5.438018e-03 1.414084e-02 7.467261e-03 3.056841e-02 
##          611          612          613          614          615 
## 1.728562e-02 1.239845e-03 2.778988e-02 2.778988e-02 2.623415e-04 
##          616          617          618          619          620 
## 3.934463e-03 1.900233e-02 2.240004e-02 1.486838e-02 2.855336e-02 
##          621          622          623          624          625 
## 2.173158e-02 2.545800e-02 1.347967e-02 1.891339e-02 1.394232e-02 
##          626          627          628          629          630 
## 1.823664e-02 1.166234e-02 7.568092e-03 1.047690e-03 1.106033e-02 
##          631          632          633          634          635 
## 8.398114e-03 2.289529e-02 1.971243e-02 4.346923e-04 2.287149e-02 
##          636          637          638          639          640 
## 2.888125e-02 3.843425e-03 1.268919e-02 1.325046e-02 8.241197e-03 
##          641          642          643          644          645 
## 1.265457e-02 2.032712e-02 1.713548e-02 2.380043e-02 1.265457e-02 
##          646          647          648          649          650 
## 2.114357e-02 2.853422e-03 4.232492e-04 1.977447e-02 4.528095e-03 
##          651          652          653          654          655 
## 4.471119e-03 1.324881e-02 4.821840e-04 1.629158e-02 2.139708e-03 
##          656          657          658          659          660 
## 2.640271e-02 1.230340e-02 5.044437e-03 7.131216e-03 1.202093e-02 
##          661          662          663          664          665 
## 1.319248e-03 1.329748e-02 4.064673e-03 1.704099e-02 2.600272e-02 
##          666          667          668          669          670 
## 2.373792e-02 2.276877e-02 1.925449e-02 2.074582e-02 1.603313e-02 
##          671          672          673          674          675 
## 1.698200e-02 1.813897e-02 2.289529e-02 5.520402e-03 2.226682e-02 
##          676          677          678          679          680 
## 1.276478e-02 1.744971e-02 8.056198e-03 1.774218e-02 2.216242e-02 
##          681          682          683          684          685 
## 6.585463e-03 1.818901e-02 1.322527e-03 9.063841e-03 1.502395e-02 
##          686          687          688          689          690 
## 1.823664e-02 1.707904e-02 1.657517e-02 2.200359e-02 7.715352e-03 
##          691          692          693          694          695 
## 7.131216e-03 2.284829e-02 1.994914e-02 2.030629e-02 1.161543e-02 
##          696          697          698          699          700 
## 1.681086e-02 5.615975e-03 4.538836e-03 1.681086e-02 1.118332e-02 
##          701          702          703          704          705 
## 1.404416e-02 2.064124e-02 8.590084e-03 8.076313e-03 4.789141e-03 
##          706          707          708          709          710 
## 1.041077e-02 1.688351e-02 2.074582e-02 3.843425e-03 2.920476e-03 
##          711          712          713          714          715 
## 7.304335e-03 6.052221e-03 2.074582e-02 1.298316e-02 5.890978e-03 
##          716          717          718          719          720 
## 1.821498e-02 3.028334e-03 8.499162e-03 4.122762e-03 1.954077e-02 
##          721          722          723          724          725 
## 1.500178e-02 4.471119e-03 8.241197e-03 1.582382e-03 1.700414e-02 
##          726          727          728          729          730 
## 1.231873e-03 1.566239e-02 1.170188e-02 4.522517e-03 2.595447e-02 
##          731          732          733          734          735 
## 2.980592e-05 1.870148e-02 4.538836e-03 4.064673e-03 1.681125e-02 
##          736          737          738          739          740 
## 2.151303e-02 9.643326e-03 2.405840e-02 2.436152e-04 1.975081e-02 
##          741          742          743          744          745 
## 1.811999e-02 6.282317e-03 2.519471e-02 1.212029e-02 1.871604e-02 
##          746          747          748          749          750 
## 1.033412e-02 1.160245e-02 1.347547e-02 9.560482e-03 8.151865e-03 
##          751          752          753          754          755 
## 1.011974e-02 1.848483e-02 2.519331e-02 4.881333e-03 2.091422e-02 
##          756          757          758          759          760 
## 1.528448e-02 1.744690e-02 1.235511e-02 3.527724e-03 1.848483e-02 
##          761          762          763          764          765 
## 2.141901e-02 1.420638e-02 2.938044e-03 1.542269e-02 7.131216e-03 
##          766          767          768          769          770 
## 7.552769e-03 5.728232e-03 1.987145e-02 3.452249e-03 2.436152e-04 
##          771          772          773          774          775 
## 2.656703e-02 2.318557e-02 9.643326e-03 2.601192e-02 2.373792e-02 
##          776          777          778          779          780 
## 8.748505e-03 3.506596e-03 1.404416e-02 2.543424e-02 2.095908e-02 
##          781          782          783          784          785 
## 2.997024e-03 1.520075e-02 2.950198e-02 7.867252e-03 4.471119e-03 
##          786          787          788          789          790 
## 2.253238e-02 6.838117e-03 1.118332e-02 4.232492e-04 4.951976e-04 
##          791          792          793          794          795 
## 9.971605e-03 4.931380e-03 2.318557e-02 6.545723e-03 6.412342e-03 
##          796          797          798          799          800 
## 1.994914e-02 3.179364e-03 2.114357e-02 2.656703e-02 2.297595e-02 
##          801          802          803          804          805 
## 1.494182e-02 8.698221e-03 6.181970e-03 1.925815e-03 2.201040e-02 
##          806          807          808          809          810 
## 1.696269e-02 3.828473e-03 1.212029e-02 5.901016e-03 1.957017e-02 
##          811          812          813          814          815 
## 1.826322e-02 1.516759e-02 2.219251e-02 1.864776e-02 1.323484e-02 
##          816          817          818          819          820 
## 1.123462e-02 1.324448e-02 7.568092e-03 9.850627e-03 1.365318e-02 
##          821          822          823          824          825 
## 1.891339e-02 6.277803e-03 2.264615e-03 2.879697e-02 1.469929e-02 
##          826          827          828          829          830 
## 2.291029e-02 1.788320e-02 2.600272e-02 4.547197e-03 6.414098e-04 
##          831          832          833          834          835 
## 2.297595e-02 1.700414e-02 2.776059e-02 8.747608e-03 6.725376e-03 
##          836          837          838          839          840 
## 3.647863e-03 8.523196e-03 1.659984e-02 4.834871e-05 1.520075e-02 
##          841          842          843          844          845 
## 1.414084e-02 4.207147e-03 2.245159e-02 2.066489e-02 2.994445e-02 
##          846          847          848          849          850 
## 2.283210e-02 6.838117e-03 1.001066e-02 1.138147e-02 1.013192e-02 
##          851          852          853          854          855 
## 2.303903e-03 1.871604e-02 1.971243e-02 8.330157e-03 3.828473e-03 
##          856          857          858          859          860 
## 1.229670e-02 1.613212e-02 1.586553e-02 2.814069e-02 1.700318e-02 
##          861          862          863          864          865 
## 2.531495e-02 2.264615e-03 2.066724e-02 1.265457e-02 9.342752e-03 
##          866          867          868          869          870 
## 1.865991e-02 8.476080e-03 3.191020e-02 1.233035e-02 2.405840e-02 
##          871          872          873          874          875 
## 1.601741e-03 2.244178e-03 2.373792e-02 2.194809e-02 1.324391e-02 
##          876          877          878          879          880 
## 2.776059e-02 1.256469e-02 3.364564e-03 8.186976e-04 1.657090e-03 
##          881          882          883          884          885 
## 1.498876e-02 5.278250e-03 3.550260e-02 1.939583e-03 5.936098e-03 
##          886          887          888          889          890 
## 1.660063e-02 4.529236e-03 1.700414e-02 1.570569e-02 3.648901e-03 
##          891          892          893          894          895 
## 1.011835e-02 9.644667e-03 3.143806e-02 1.011835e-02 1.498876e-02 
##          896          897          898          899          900 
## 2.284366e-02 7.983087e-03 1.558492e-03 2.066724e-02 2.966816e-04 
##          901          902          903          904          905 
## 1.231873e-03 1.218905e-02 2.703998e-02 1.753106e-02 6.474275e-03 
##          906          907          908          909          910 
## 2.925240e-03 5.154655e-03 2.030629e-02 1.615154e-02 3.310818e-02 
##          911          912          913          914          915 
## 3.412890e-02 1.728562e-02 2.596682e-02 2.201040e-02 3.429980e-02 
##          916          917          918          919          920 
## 2.079468e-02 1.493355e-02 9.555052e-03 2.196762e-02 3.412890e-02 
##          921          922          923          924          925 
## 1.939583e-03 3.024007e-03 1.632469e-02 4.471119e-03 1.276478e-02 
##          926          927          928          929          930 
## 1.862141e-02 2.855336e-02 1.876832e-02 3.828470e-03 2.066489e-02 
##          931          932          933          934          935 
## 3.364564e-03 3.760590e-03 8.200902e-03 1.722536e-02 1.773850e-02 
##          936          937          938          939          940 
## 2.066724e-02 2.703998e-02 2.531495e-02 2.966816e-04 2.196762e-02 
##          941          942          943          944          945 
## 2.030629e-02 1.112390e-02 6.790161e-03 3.407010e-03 3.305932e-02 
##          946          947          948          949          950 
## 1.230902e-02 3.930060e-03 1.516759e-02 1.660063e-02 2.055431e-04 
##          951          952          953          954          955 
## 1.992782e-02 1.450905e-02 3.354068e-03 1.239321e-02 2.995209e-02 
##          956          957          958          959          960 
## 1.565306e-02 6.786206e-03 1.906375e-02 3.550260e-02 2.601200e-02 
##          961          962          963          964          965 
## 1.549075e-02 4.056221e-03 6.131967e-03 4.834871e-05 2.994445e-02 
##          966          967          968          969          970 
## 2.995209e-02 1.218905e-02 3.310818e-02 5.426890e-03 3.106153e-02 
##          971          972          973          974          975 
## 4.385156e-03 1.071707e-02 2.114449e-02 2.079468e-02 2.079468e-02 
##          976          977          978          979          980 
## 3.106153e-02 5.804312e-03 1.632469e-02 1.865991e-02 3.550260e-02 
##          981          982          983          984          985 
## 1.218905e-02 2.670194e-02 1.710621e-02 1.781704e-02 8.942959e-04 
##          986          987          988          989          990 
## 4.385156e-03 1.921888e-02 5.806787e-03 3.305932e-02 7.552769e-03 
##          991          992          993          994          995 
## 2.272244e-02 2.596682e-02 2.703998e-02 3.310818e-02 1.565306e-02 
##          996          997          998          999         1000 
## 1.906375e-02 3.429980e-02 4.237097e-03 1.632469e-02 1.232787e-02 
##         1001         1002         1003         1004         1005 
## 5.549862e-03 3.091092e-02 8.079084e-04 4.118884e-03 1.011835e-02 
##         1006         1007         1008         1009         1010 
## 3.429980e-02 9.850627e-03 1.011835e-02 9.662983e-03 1.263375e-02 
##         1011         1012         1013         1014         1015 
## 4.821840e-04 8.751099e-03 3.305932e-02 4.490067e-04 1.985400e-02 
##         1016         1017         1018         1019         1020 
## 8.942959e-04 2.623415e-04 1.728562e-02 4.792180e-03 2.501682e-02 
##         1021         1022         1023         1024         1025 
## 1.212147e-02 1.187484e-02 8.534679e-03 1.420638e-02 1.823651e-02 
##         1026         1027         1028         1029         1030 
## 6.478841e-03 8.241197e-03 5.838424e-03 1.411707e-02 1.862141e-02 
##         1031         1032         1033         1034         1035 
## 2.182586e-03 3.711687e-03 2.201040e-02 1.753106e-02 9.662983e-03 
##         1036         1037         1038         1039         1040 
## 5.890978e-03 6.786206e-03 1.161040e-02 3.030083e-02 9.989987e-04 
##         1041         1042         1043         1044         1045 
## 1.925449e-02 1.562686e-02 1.753956e-02 1.518853e-02 4.490067e-04 
##         1046         1047         1048         1049         1050 
## 2.906474e-02 2.127361e-02 2.776059e-02 9.643326e-03 6.131967e-03 
##         1051         1052         1053         1054         1055 
## 1.632469e-02 2.309896e-02 1.136105e-02 6.478841e-03 1.837853e-02 
##         1056         1057         1058         1059         1060 
## 2.147113e-02 3.024007e-03 1.245314e-02 3.056841e-02 1.502395e-02 
##         1061         1062         1063         1064         1065 
## 1.245314e-02 1.013192e-02 2.778988e-02 2.778988e-02 4.056221e-03 
##         1066         1067         1068         1069         1070 
## 1.469792e-02 2.429622e-02 1.370657e-03 1.498876e-02 6.857383e-03 
##         1071         1072         1073         1074         1075 
## 3.279806e-03 1.659984e-02 1.632469e-02 3.199406e-03 2.141901e-02 
##         1076         1077         1078         1079         1080 
## 3.215555e-02 2.534673e-02 1.031522e-02 1.331841e-02 1.638357e-02 
##         1081         1082         1083         1084         1085 
## 2.492765e-03 5.718732e-03 3.456006e-02 3.091092e-02 1.921888e-02 
##         1086         1087         1088         1089         1090 
## 1.870148e-02 2.391048e-03 3.305932e-02 1.033412e-02 1.985195e-02 
##         1091         1092         1093         1094         1095 
## 2.950198e-02 2.617919e-02 1.331841e-02 1.673964e-02 1.256469e-02 
##         1096         1097         1098         1099         1100 
## 1.773850e-02 4.385156e-03 2.656703e-02 5.901016e-03 6.383936e-03 
##         1101         1102         1103         1104         1105 
## 2.116571e-02 2.066724e-02 2.200359e-02 1.011835e-02 1.773850e-02 
##         1106         1107         1108         1109         1110 
## 3.456006e-02 2.728103e-02 2.156125e-02 3.429980e-02 2.127361e-02 
##         1111         1112         1113         1114         1115 
## 2.196762e-02 3.670090e-02 2.066489e-02 3.310818e-02 1.957017e-02 
##         1116         1117         1118         1119         1120 
## 2.003274e-02 8.751099e-03 1.679162e-02 1.124746e-03 7.866322e-05 
##         1121         1122         1123         1124         1125 
## 3.024007e-03 1.673964e-02 9.264624e-03 3.550260e-02 2.598017e-02 
##         1126         1127         1128         1129         1130 
## 1.788887e-02 2.670194e-02 1.862141e-02 2.843045e-02 3.550260e-02 
##         1131         1132         1133         1134         1135 
## 2.175618e-02 3.191020e-02 4.037339e-03 3.024007e-03 2.175618e-02 
##         1136         1137         1138         1139         1140 
## 9.643326e-03 7.324314e-03 1.347967e-02 2.160502e-02 9.342752e-03 
##         1141         1142         1143         1144         1145 
## 2.287149e-02 2.063898e-02 1.187959e-02 2.728103e-02 2.160502e-02 
##         1146         1147         1148         1149         1150 
## 2.994445e-02 1.797961e-02 2.600272e-02 1.582382e-03 2.196762e-02 
##         1151         1152         1153         1154         1155 
## 5.806787e-03 6.646532e-03 3.133157e-03 3.305932e-02 4.056221e-03 
##         1156         1157         1158         1159         1160 
## 2.778988e-02 1.823651e-02 6.282317e-03 1.985400e-02 2.595447e-02 
##         1161         1162         1163         1164         1165 
## 7.552769e-03 6.282317e-03 2.950198e-02 6.786206e-03 5.816141e-03 
##         1166         1167         1168         1169         1170 
## 2.284366e-02 2.843045e-02 1.527981e-02 2.066724e-02 7.747078e-03 
##         1171         1172         1173         1174         1175 
## 3.407010e-03 7.715352e-03 1.862141e-02 1.218905e-02 9.560482e-03 
##         1176         1177         1178         1179         1180 
## 2.066724e-02 1.527981e-02 2.445681e-02 8.917871e-03 3.656419e-03 
##         1181         1182         1183         1184         1185 
## 8.911278e-03 1.619103e-02 3.087163e-02 2.728103e-02 1.218905e-02 
##         1186         1187         1188         1189         1190 
## 2.091422e-02 3.364564e-03 1.354085e-02 1.925449e-02 1.414084e-02 
##         1191         1192         1193         1194         1195 
## 1.700318e-02 1.988039e-02 1.976894e-03 1.601741e-03 4.792180e-03 
##         1196         1197         1198         1199         1200 
## 1.001066e-02 2.380043e-02 1.868877e-02 2.380043e-02 1.700318e-02 
##         1201         1202         1203         1204         1205 
## 3.407010e-03 1.031522e-02 7.324314e-03 8.911278e-03 2.490243e-02 
##         1206         1207         1208         1209         1210 
## 1.845085e-02 1.865991e-02 4.056221e-03 2.156125e-02 1.977447e-02 
##         1211         1212         1213         1214         1215 
## 1.011835e-02 1.659508e-02 6.474275e-03 1.565306e-02 1.992782e-02 
##         1216         1217         1218         1219         1220 
## 6.594218e-03 9.902029e-03 2.490243e-02 2.291029e-02 2.445681e-02 
##         1221         1222         1223         1224         1225 
## 8.151865e-03 4.037339e-03 2.596682e-02 2.812393e-02 1.001066e-02 
##         1226         1227         1228         1229         1230 
## 5.806787e-03 1.093581e-02 1.406578e-02 2.412311e-02 1.365318e-02 
##         1231         1232         1233         1234         1235 
## 2.728103e-02 1.906375e-02 1.071116e-03 6.051308e-03 2.843045e-02 
##         1236         1237         1238         1239         1240 
## 1.797961e-02 2.116571e-02 1.659508e-02 2.595933e-02 4.207147e-03 
##         1241 
## 1.906375e-02

• Media del error

mean(Error3)

## [1] 0.01410847

• Deviación est´ndar del error

sd(Error3)

## [1] 0.008574073

• Coeficiente de variación

sd(Error3)/mean(Error3)

## [1] 0.607725

• Residuales

Residuales3_1 <- predichos3-datos$Ht
sqrt(sum(Residuales3_1^2)/summary(mod3)$df[2])

## [1] 0.002964127

• AIC

AIC(mod3)

## [1] -18088.22