crabdat <- read.csv("http://www.cknudson.com/data/crabs.csv")

attach(crabdat)
hist(satell)

boxplot(satell ~ color)

boxplot(satell ~ spine)

plot(log(satell) , width)

#looks pretty random 

#We should use poission regression because the number of satellite crabs is a count

#The color will probably be big becasue there was a clear pattern there from dark to light 

modmain <- glm( satell ~ color, family = "poisson" )
modmain2 <- glm (satell ~ width, family = "poisson")
modmain3 <- glm(satell ~ spine, family = "poisson")

AIC(modmain)
## [1] 972.4368
AIC(modmain2)
## [1] 927.1762
AIC(modmain3)
## [1] 982.4582
summary(modmain)
## 
## Call:
## glm(formula = satell ~ color, family = "poisson")
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.8577  -2.1106  -0.1649   0.8721   4.7491  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.80078    0.10102   7.927 2.24e-15 ***
## colordarker -0.08516    0.18007  -0.473 0.636279    
## colorlight   0.60614    0.17496   3.464 0.000532 ***
## colormedium  0.39155    0.11575   3.383 0.000718 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 632.79  on 172  degrees of freedom
## Residual deviance: 609.14  on 169  degrees of freedom
## AIC: 972.44
## 
## Number of Fisher Scoring iterations: 6
summary(modmain2)
## 
## Call:
## glm(formula = satell ~ width, family = "poisson")
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.8526  -1.9884  -0.4933   1.0970   4.9221  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -3.30476    0.54224  -6.095  1.1e-09 ***
## width        0.16405    0.01997   8.216  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 632.79  on 172  degrees of freedom
## Residual deviance: 567.88  on 171  degrees of freedom
## AIC: 927.18
## 
## Number of Fisher Scoring iterations: 6
summary(modmain3)
## 
## Call:
## glm(formula = satell ~ spine, family = "poisson")
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7014  -2.3706  -0.5097   1.1252   5.0859  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  1.03316    0.05423  19.051   <2e-16 ***
## spinegood    0.26120    0.10173   2.568   0.0102 *  
## spinemiddle -0.34001    0.19045  -1.785   0.0742 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 632.79  on 172  degrees of freedom
## Residual deviance: 621.16  on 170  degrees of freedom
## AIC: 982.46
## 
## Number of Fisher Scoring iterations: 5
#width has the best pvalue and lowest AIC so appears to be the best predictor 


boxplot(width)

library(faraway)
plot(modmain2$residuals~modmain2$fitted, xlab="fitted", ylab="residuals")

halfnorm(residuals(modmain2))

#half norm plot showed the outliers as row 15 and 56 in the data, these are likely the same two outliers found in the 

 (dp <- sum(residuals(modmain2, type="pearson")^2 / modmain2$df.res) )
## [1] 3.182205
mean(width)
## [1] 26.29884
modcombo <- glm( satell ~ width, family = "poisson" )
modcombo2 <- glm (satell ~ width + spine, family = "poisson")
modcombo3 <- glm(satell ~ width + color, family = "poisson") 
modcombo4 <- glm(satell ~ width + weight, family = "poisson")
modcombo5 <- glm(satell ~ width + color + spine, family = "poisson")

c(modcombo, modcombo2, modcombo3, modcombo4)
## $coefficients
## (Intercept)       width 
##  -3.3047572   0.1640451 
## 
## $residuals
##            1            2            3            4            5 
##  1.099549535 -1.000000000  2.444606074 -1.000000000  0.530936033 
##            6            7            8            9           10 
## -1.000000000 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           11           12           13           14           15 
## -1.000000000 -1.000000000  1.934629043 -1.000000000  4.358276115 
##           16           17           18           19           20 
##  1.556340949 -0.563592551 -0.766027172 -1.000000000  0.520987453 
##           21           22           23           24           25 
##  1.423482556  0.352889059 -0.320404303 -0.317572788  0.186498200 
##           26           27           28           29           30 
## -1.000000000 -0.262673500  0.678309130 -1.000000000 -1.000000000 
##           31           32           33           34           35 
## -0.109052213 -1.000000000 -1.000000000  2.216327051  0.706068029 
##           36           37           38           39           40 
## -1.000000000 -1.000000000  0.795487929 -1.000000000  0.681453801 
##           41           42           43           44           45 
## -0.102256035  0.882533314  0.737535612 -0.007131909  1.285756022 
##           46           47           48           49           50 
## -0.048629230  0.600706751  0.803852078 -0.238081326 -0.432886950 
##           51           52           53           54           55 
##  1.368558398  0.447946343  0.825184943  1.545734223  1.010204407 
##           56           57           58           59           60 
##  2.936655378 -0.056969678  0.111141921 -1.000000000 -1.000000000 
##           61           62           63           64           65 
## -1.000000000  1.447557324 -0.025516630  0.913670041 -0.724317435 
##           66           67           68           69           70 
##  0.588588945  1.339728284 -1.000000000 -1.000000000  0.111141921 
##           71           72           73           74           75 
##  1.860833904 -0.373921656 -1.000000000  1.533930096 -1.000000000 
##           76           77           78           79           80 
## -1.000000000  0.148202025  0.689286730 -1.000000000  1.218127706 
##           81           82           83           84           85 
## -1.000000000 -1.000000000 -1.000000000  0.556257411 -1.000000000 
##           86           87           88           89           90 
## -0.025516630 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           91           92           93           94           95 
##  0.042952948 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           96           97           98           99          100 
## -0.766027172 -1.000000000 -0.647405839 -0.510488535 -0.746027109 
##          101          102          103          104          105 
## -0.733215542 -0.510488535 -0.700752012  0.894846718 -0.563592551 
##          106          107          108          109          110 
## -0.690771143 -0.635645707 -0.766027172 -0.141386401  0.410376642 
##          111          112          113          114          115 
## -0.145367643  0.948966740 -1.000000000 -0.098073961 -0.709204166 
##          116          117          118          119          120 
## -1.000000000  1.672843362 -1.000000000  1.254815098  0.948966740 
##          121          122          123          124          125 
##  2.294464495 -0.615671342 -1.000000000  0.028409373 -0.087407528 
##          126          127          128          129          130 
## -1.000000000 -0.225479342  1.718382786 -0.259238719  1.750531150 
##          131          132          133          134          135 
##  1.937068789 -1.000000000  0.102730261  2.954993999  0.961696101 
##          136          137          138          139          140 
## -1.000000000  0.290867763  0.571717203  1.705778117  0.795487929 
##          141          142          143          144          145 
## -0.217172592 -0.451191454 -0.298081515 -1.000000000 -1.000000000 
##          146          147          148          149          150 
##  2.607704156 -0.399010408 -0.137809013  4.313550419  0.787162563 
##          151          152          153          154          155 
##  0.177516071 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##          156          157          158          159          160 
##  0.894846718 -1.000000000  0.080287098 -1.000000000 -0.179213290 
##          161          162          163          164          165 
##  0.410376642  0.148202025  1.134275667 -1.000000000  1.468159124 
##          166          167          168          169          170 
## -1.000000000 -1.000000000 -0.259238719  0.129519988 -0.064108686 
##          171          172          173 
## -1.000000000 -1.000000000 -1.000000000 
## 
## $fitted.values
##        1        2        3        4        5        6        7        8 
## 3.810341 1.471463 2.612781 2.145904 2.612781 1.821237 2.836122 2.110989 
##        9       10       11       12       13       14       15       16 
## 1.791604 2.446839 1.976917 2.528449 3.748344 1.150492 2.612781 3.129473 
##       17       18       19       20       21       22       23       24 
## 2.291437 4.274001 2.110989 3.287338 1.650517 2.217477 1.471463 2.930715 
##       25       26       27       28       29       30       31       32 
## 2.528449 2.699925 4.068754 2.979189 3.341710 2.181397 4.489601 2.528449 
##       33       34       35       36       37       38       39       40 
## 2.487309 2.487309 2.930715 1.791604 2.979189 3.341710 1.705567 3.568341 
##       41       42       43       44       45       46       47       48 
## 3.341710 2.655995 3.453167 5.035916 3.937428 4.204460 3.748344 2.217477 
##       49       50       51       52       53       54       55       56 
## 3.937428 5.289951 2.110989 3.453167 3.287338 1.571256 2.487309 3.810341 
##       57       58       59       60       61       62       63       64 
## 3.181234 2.699925 3.510281 2.407027 3.129473 2.042853 3.078554 2.612781 
##       65       66       67       68       69       70       71       72 
## 3.627360 5.035916 4.274001 2.699925 2.836122 2.699925 2.446839 1.597244 
##       73       74       75       76       77       78       79       80 
## 1.597244 2.367863 1.944751 1.571256 2.612781 2.367863 2.487309 2.254153 
##       81       82       83       84       85       86       87       88 
## 2.042853 3.341710 1.623662 2.570269 2.528449 3.078554 3.937428 2.407027 
##       89       90       91       92       93       94       95       96 
## 1.733777 1.881981 4.794080 2.979189 2.930715 4.068754 1.623662 4.274001 
##       97       98       99      100      101      102      103      104 
## 2.407027 2.836122 2.042853 3.937428 3.748344 2.042853 3.341710 2.110989 
##      105      106      107      108      109      110      111      112 
## 2.291437 3.233851 2.744581 4.274001 2.329337 2.836122 3.510281 3.078554 
##      113      114      115      116      117      118      119      120 
## 2.487309 2.217477 6.877678 1.791604 4.489601 1.355587 2.217477 3.078554 
##      121      122      123      124      125      126      127      128 
## 1.821237 5.203879 2.699925 1.944751 3.287338 2.367863 3.873363 1.471463 
##      129      130      131      132      133      134      135      136 
## 2.699925 2.181397 2.042853 2.254153 3.627360 2.528449 3.568341 2.181397 
##      137      138      139      140      141      142      143      144 
## 3.873363 3.181234 2.217477 3.341710 8.941945 5.466387 4.274001 1.976917 
##      145      146      147      148      149      150      151      152 
## 2.528449 2.217477 6.655689 4.639343 1.881981 5.035916 3.396981 2.699925 
##      153      154      155      156      157      158      159      160 
## 1.623662 1.571256 2.042853 2.110989 3.810341 1.851360 1.821237 4.873373 
##      161      162      163      164      165      166      167      168 
## 2.836122 2.612781 3.748344 2.487309 2.836122 2.528449 1.913108 2.699925 
##      169      170      171      172      173 
## 2.655995 4.274001 3.627360 3.078554 2.042853 
## 
## $effects
##   (Intercept)         width                                           
## -25.518025251   8.216490521   3.854055956  -1.511574626   0.760780978 
##                                                                       
##  -1.360593852  -1.805519628  -1.495787658  -1.346311048  -1.643710613 
##                                                                       
##  -1.434195276  -1.678425463   3.528042513  -1.010307593   6.947330935 
##                                                                       
##   2.600523794  -0.915712377  -1.855084627  -1.495787658   0.775230894 
##                                                                       
##   1.836499652   0.470987545  -0.361276331  -0.675217691   0.208236816 
##                                                                       
##  -1.749964854  -0.780346971   1.034060134  -2.003129112  -1.527520174 
##                                                                       
##  -0.524302727  -1.678425463  -1.660981542   3.411553926   1.077187063 
##                                                                       
##  -1.346311048  -1.862756321   1.279084699  -1.304312471   1.088448584 
##                                                                       
##  -0.362022206   1.336194890   1.183751689  -0.363754490   2.314285765 
##                                                                       
##  -0.364068474   0.945483428   1.142525342  -0.709457619  -1.368381940 
##                                                                       
##   1.945548100   0.645616700   1.326771906   1.954004777   1.509353126 
##                                                                       
##   5.508443569  -0.259783509   0.075802307  -2.066336435  -1.626611012 
##                                                                       
##  -1.921724256   2.033571394  -0.192062859   1.379435974  -1.584475358 
##                                                                       
##   0.973093506   2.498281779  -1.749964854  -1.805519628   0.075802307 
##                                                                       
##   2.831313082  -0.458995679  -1.250246796   2.289495790  -1.419178597 
##                                                                       
##  -1.237066621   0.142125982   0.989770162  -1.660981542   1.770367811 
##                                                                       
##  -1.464683373  -2.003129112  -1.263560163   0.798956863  -1.678425463 
##                                                                       
##  -0.192062859  -2.221329311  -1.626611012  -1.318171727  -1.389592695 
##                                                                       
##  -0.229700956  -1.862756321  -1.843487527  -2.267619472  -1.263560163 
##                                                                       
##  -1.855084627  -1.626611012  -1.211723234  -0.765032420  -1.717372081 
##                                                                       
##  -1.637075657  -0.765032420  -1.456093477   1.257280948  -0.915712377 
##                                                                       
##  -1.405939513  -1.164681552  -1.855084627  -0.282489077   0.569665946 
##                                                                       
##  -0.465119068   1.517747097  -1.660981542  -0.200550252  -2.384259326 
##                                                                       
##  -1.346311048   3.251298494  -1.124230159   1.814063139   1.517747097 
##                                                                       
##   3.085391595  -1.768771973  -1.749964854   0.014982730  -0.327851131 
##                                                                       
##  -1.609681093  -0.674201631   2.111851472  -0.532786746   2.534891258 
##                                                                       
##   2.733222348  -1.559893195  -0.009310898   4.610448800   1.617827747 
##                                                                       
##  -1.527520174   0.342013998   0.861543273   2.485600936   1.279084699 
##                                                                       
##  -1.360552614  -1.444880349  -0.887669870  -1.434195276  -1.678425463 
##                                                                       
##   3.828676530  -1.532994534  -0.605111722   5.899817653   1.418709505 
##                                                                       
##   0.146278435  -1.749964854  -1.263560163  -1.237066621  -1.464683373 
##                                                                       
##   1.257280948  -2.175945178   0.094868564  -1.360593852  -0.727266449 
##                                                                       
##   0.569665946   0.142125982   1.978507062  -1.660981542   2.351055127 
##                                                                       
##  -1.678425463  -1.404311551  -0.532786746   0.108992122  -0.403962492 
##                                           
##  -2.109530177  -1.901872815  -1.464683373 
## 
## $R
##             (Intercept)      width
## (Intercept)   -22.47221 -608.26697
## width           0.00000   50.08678
## 
## $rank
## [1] 2
## 
## $qr
## $qr
##      (Intercept)         width
## 1   -22.47220515 -6.082670e+02
## 2     0.05397952  5.008678e+01
## 3     0.07192929  3.763019e-02
## 4     0.06518677  6.919926e-02
## 5     0.07192929  3.763019e-02
## 6     0.06005339  9.069378e-02
## 7     0.07494053  2.239392e-02
## 8     0.06465428  7.153480e-02
## 9     0.05956283  9.262530e-02
## 10    0.06960766  4.890783e-02
## 11    0.06256746  8.045464e-02
## 12    0.07075895  4.336734e-02
## 13    0.08615372 -3.996745e-02
## 14    0.04773051  1.320456e-01
## 15    0.07192929  3.763019e-02
## 16    0.07872088  2.331976e-03
## 17    0.06736095  5.941826e-02
## 18    0.09199656 -7.569853e-02
## 19    0.06465428  7.153480e-02
## 20    0.08068197 -8.469692e-03
## 21    0.05716950  1.017284e-01
## 22    0.06626495  6.439764e-02
## 23    0.05397952  1.130053e-01
## 24    0.07618003  1.592844e-02
## 25    0.07075895  4.336734e-02
## 26    0.07311899  3.169139e-02
## 27    0.08976045 -6.177684e-02
## 28    0.07680745  1.261355e-02
## 29    0.08134647 -1.218918e-02
## 30    0.06572365  6.682039e-02
## 31    0.09428838 -9.027551e-02
## 32    0.07075895  4.336734e-02
## 33    0.07018094  4.616186e-02
## 34    0.07018094  4.616186e-02
## 35    0.07618003  1.592844e-02
## 36    0.05956283  9.262530e-02
## 37    0.07680745  1.261355e-02
## 38    0.08134647 -1.218918e-02
## 39    0.05811507  9.819617e-02
## 40    0.08405963 -2.768159e-02
## 41    0.08134647 -1.218918e-02
## 42    0.07252170  3.468631e-02
## 43    0.08269192 -1.981099e-02
## 44    0.09986045 -1.269732e-01
## 45    0.08829998 -5.284826e-02
## 46    0.09124507 -7.098632e-02
## 47    0.08615372 -3.996745e-02
## 48    0.06626495  6.439764e-02
## 49    0.08829998 -5.284826e-02
## 50    0.10234818 -1.439124e-01
## 51    0.06465428  7.153480e-02
## 52    0.08269192 -1.981099e-02
## 53    0.08068197 -8.469692e-03
## 54    0.05577991  1.067637e-01
## 55    0.07018094  4.616186e-02
## 56    0.08686328 -4.419388e-02
## 57    0.07936922 -1.209840e-03
## 58    0.07311899  3.169139e-02
## 59    0.08337297 -2.371481e-02
## 60    0.06903905  5.160586e-02
## 61    0.07872088  2.331976e-03
## 62    0.06360231  7.607811e-02
## 63    0.07807783  5.816009e-03
## 64    0.07192929  3.763019e-02
## 65    0.08475194 -3.171210e-02
## 66    0.09986045 -1.269732e-01
## 67    0.09199656 -7.569853e-02
## 68    0.07311899  3.169139e-02
## 69    0.07494053  2.239392e-02
## 70    0.07311899  3.169139e-02
## 71    0.06960766  4.890783e-02
## 72    0.05623931  1.051198e-01
## 73    0.05623931  1.051198e-01
## 74    0.06847509  5.425655e-02
## 75    0.06205636  8.258168e-02
## 76    0.05577991  1.067637e-01
## 77    0.07192929  3.763019e-02
## 78    0.06847509  5.425655e-02
## 79    0.07018094  4.616186e-02
## 80    0.06681070  6.193046e-02
## 81    0.06360231  7.607811e-02
## 82    0.08134647 -1.218918e-02
## 83    0.05670249  1.034415e-01
## 84    0.07134172  4.052365e-02
## 85    0.07075895  4.336734e-02
## 86    0.07807783  5.816009e-03
## 87    0.08829998 -5.284826e-02
## 88    0.06903905  5.160586e-02
## 89    0.05859370  9.637602e-02
## 90    0.06104666  8.671593e-02
## 91    0.09743320 -1.107724e-01
## 92    0.07680745  1.261355e-02
## 93    0.07618003  1.592844e-02
## 94    0.08976045 -6.177684e-02
## 95    0.05670249  1.034415e-01
## 96    0.09199656 -7.569853e-02
## 97    0.06903905  5.160586e-02
## 98    0.07494053  2.239392e-02
## 99    0.06360231  7.607811e-02
## 100   0.08829998 -5.284826e-02
## 101   0.08615372 -3.996745e-02
## 102   0.06360231  7.607811e-02
## 103   0.08134647 -1.218918e-02
## 104   0.06465428  7.153480e-02
## 105   0.06736095  5.941826e-02
## 106   0.08002290 -4.810155e-03
## 107   0.07372119  2.864479e-02
## 108   0.09199656 -7.569853e-02
## 109   0.06791574  5.686049e-02
## 110   0.07494053  2.239392e-02
## 111   0.08337297 -2.371481e-02
## 112   0.07807783  5.816009e-03
## 113   0.07018094  4.616186e-02
## 114   0.06626495  6.439764e-02
## 115   0.11670117 -2.478698e-01
## 116   0.05956283  9.262530e-02
## 117   0.09428838 -9.027551e-02
## 118   0.05181053  1.200873e-01
## 119   0.06626495  6.439764e-02
## 120   0.07807783  5.816009e-03
## 121   0.06005339  9.069378e-02
## 122   0.10151213 -1.381823e-01
## 123   0.07311899  3.169139e-02
## 124   0.06205636  8.258168e-02
## 125   0.08068197 -8.469692e-03
## 126   0.06847509  5.425655e-02
## 127   0.08757869 -4.848721e-02
## 128   0.05397952  1.130053e-01
## 129   0.07311899  3.169139e-02
## 130   0.06572365  6.682039e-02
## 131   0.06360231  7.607811e-02
## 132   0.06681070  6.193046e-02
## 133   0.08475194 -3.171210e-02
## 134   0.07075895  4.336734e-02
## 135   0.08405963 -2.768159e-02
## 136   0.06572365  6.682039e-02
## 137   0.08757869 -4.848721e-02
## 138   0.07936922 -1.209840e-03
## 139   0.06626495  6.439764e-02
## 140   0.08134647 -1.218918e-02
## 141   0.13306698 -3.781544e-01
## 142   0.10404100 -1.556286e-01
## 143   0.09199656 -7.569853e-02
## 144   0.06256746  8.045464e-02
## 145   0.07075895  4.336734e-02
## 146   0.06626495  6.439764e-02
## 147   0.11480236 -2.335353e-01
## 148   0.09584789 -1.003694e-01
## 149   0.06104666  8.671593e-02
## 150   0.09986045 -1.269732e-01
## 151   0.08201643 -1.596937e-02
## 152   0.07311899  3.169139e-02
## 153   0.05670249  1.034415e-01
## 154   0.05577991  1.067637e-01
## 155   0.06360231  7.607811e-02
## 156   0.06465428  7.153480e-02
## 157   0.08686328 -4.419388e-02
## 158   0.06054799  8.872415e-02
## 159   0.06005339  9.069378e-02
## 160   0.09823566 -1.160923e-01
## 161   0.07494053  2.239392e-02
## 162   0.07192929  3.763019e-02
## 163   0.08615372 -3.996745e-02
## 164   0.07018094  4.616186e-02
## 165   0.07494053  2.239392e-02
## 166   0.07075895  4.336734e-02
## 167   0.06154944  8.466861e-02
## 168   0.07311899  3.169139e-02
## 169   0.07252170  3.468631e-02
## 170   0.09199656 -7.569853e-02
## 171   0.08475194 -3.171210e-02
## 172   0.07807783  5.816009e-03
## 173   0.06360231  7.607811e-02
## 
## $rank
## [1] 2
## 
## $qraux
## [1] 1.086863 1.113005
## 
## $pivot
## [1] 1 2
## 
## $tol
## [1] 1e-11
## 
## attr(,"class")
## [1] "qr"
## 
## $family
## 
## Family: poisson 
## Link function: log 
## 
## 
## $linear.predictors
##         1         2         3         4         5         6         7 
## 1.3377187 0.3862572 0.9604150 0.7635609 0.9604150 0.5995158 1.0424376 
##         8         9        10        11        12        13        14 
## 0.7471564 0.5831113 0.8947970 0.6815384 0.9276060 1.3213142 0.1401896 
##        15        16        17        18        19        20        21 
## 0.9604150 1.1408646 0.8291790 1.4525503 0.7471564 1.1900781 0.5010888 
##        22        23        24        25        26        27        28 
## 0.7963699 0.3862572 1.0752466 0.9276060 0.9932240 1.4033368 1.0916511 
##        29        30        31        32        33        34        35 
## 1.2064827 0.7799654 1.5017638 0.9276060 0.9112015 0.9112015 1.0752466 
##        36        37        38        39        40        41        42 
## 0.5831113 1.0916511 1.2064827 0.5338978 1.2721007 1.2064827 0.9768195 
##        43        44        45        46        47        48        49 
## 1.2392917 1.6165954 1.3705277 1.4361458 1.3213142 0.7963699 1.3705277 
##        50        51        52        53        54        55        56 
## 1.6658089 0.7471564 1.2392917 1.1900781 0.4518753 0.9112015 1.3377187 
##        57        58        59        60        61        62        63 
## 1.1572691 0.9932240 1.2556962 0.8783925 1.1408646 0.7143474 1.1244601 
##        64        65        66        67        68        69        70 
## 0.9604150 1.2885052 1.6165954 1.4525503 0.9932240 1.0424376 0.9932240 
##        71        72        73        74        75        76        77 
## 0.8947970 0.4682798 0.4682798 0.8619880 0.6651339 0.4518753 0.9604150 
##        78        79        80        81        82        83        84 
## 0.8619880 0.9112015 0.8127744 0.7143474 1.2064827 0.4846843 0.9440105 
##        85        86        87        88        89        90        91 
## 0.9276060 1.1244601 1.3705277 0.8783925 0.5503023 0.6323249 1.5673818 
##        92        93        94        95        96        97        98 
## 1.0916511 1.0752466 1.4033368 0.4846843 1.4525503 0.8783925 1.0424376 
##        99       100       101       102       103       104       105 
## 0.7143474 1.3705277 1.3213142 0.7143474 1.2064827 0.7471564 0.8291790 
##       106       107       108       109       110       111       112 
## 1.1736736 1.0096286 1.4525503 0.8455835 1.0424376 1.2556962 1.1244601 
##       113       114       115       116       117       118       119 
## 0.9112015 0.7963699 1.9282810 0.5831113 1.5017638 0.3042347 0.7963699 
##       120       121       122       123       124       125       126 
## 1.1244601 0.5995158 1.6494044 0.9932240 0.6651339 1.1900781 0.8619880 
##       127       128       129       130       131       132       133 
## 1.3541232 0.3862572 0.9932240 0.7799654 0.7143474 0.8127744 1.2885052 
##       134       135       136       137       138       139       140 
## 0.9276060 1.2721007 0.7799654 1.3541232 1.1572691 0.7963699 1.2064827 
##       141       142       143       144       145       146       147 
## 2.1907532 1.6986179 1.4525503 0.6815384 0.9276060 0.7963699 1.8954720 
##       148       149       150       151       152       153       154 
## 1.5345728 0.6323249 1.6165954 1.2228872 0.9932240 0.4846843 0.4518753 
##       155       156       157       158       159       160       161 
## 0.7143474 0.7471564 1.3377187 0.6159203 0.5995158 1.5837864 1.0424376 
##       162       163       164       165       166       167       168 
## 0.9604150 1.3213142 0.9112015 1.0424376 0.9276060 0.6487294 0.9932240 
##       169       170       171       172       173 
## 0.9768195 1.4525503 1.2885052 1.1244601 0.7143474 
## 
## $deviance
## [1] 567.8786
## 
## $aic
## [1] 927.1762
## 
## $null.deviance
## [1] 632.7917
## 
## $iter
## [1] 6
## 
## $weights
##        1        2        3        4        5        6        7        8 
## 3.810341 1.471463 2.612781 2.145904 2.612781 1.821237 2.836122 2.110989 
##        9       10       11       12       13       14       15       16 
## 1.791604 2.446839 1.976917 2.528449 3.748344 1.150492 2.612781 3.129473 
##       17       18       19       20       21       22       23       24 
## 2.291437 4.274001 2.110989 3.287338 1.650517 2.217477 1.471463 2.930716 
##       25       26       27       28       29       30       31       32 
## 2.528449 2.699925 4.068754 2.979189 3.341710 2.181397 4.489601 2.528449 
##       33       34       35       36       37       38       39       40 
## 2.487309 2.487309 2.930716 1.791604 2.979189 3.341710 1.705567 3.568341 
##       41       42       43       44       45       46       47       48 
## 3.341710 2.655996 3.453167 5.035916 3.937428 4.204460 3.748344 2.217477 
##       49       50       51       52       53       54       55       56 
## 3.937428 5.289951 2.110989 3.453167 3.287338 1.571256 2.487309 3.810341 
##       57       58       59       60       61       62       63       64 
## 3.181234 2.699925 3.510281 2.407027 3.129473 2.042853 3.078554 2.612781 
##       65       66       67       68       69       70       71       72 
## 3.627360 5.035916 4.274001 2.699925 2.836122 2.699925 2.446839 1.597244 
##       73       74       75       76       77       78       79       80 
## 1.597244 2.367863 1.944751 1.571256 2.612781 2.367863 2.487309 2.254153 
##       81       82       83       84       85       86       87       88 
## 2.042853 3.341710 1.623662 2.570269 2.528449 3.078554 3.937428 2.407027 
##       89       90       91       92       93       94       95       96 
## 1.733777 1.881981 4.794080 2.979189 2.930716 4.068754 1.623662 4.274001 
##       97       98       99      100      101      102      103      104 
## 2.407027 2.836122 2.042853 3.937428 3.748344 2.042853 3.341710 2.110989 
##      105      106      107      108      109      110      111      112 
## 2.291437 3.233851 2.744581 4.274001 2.329337 2.836122 3.510281 3.078554 
##      113      114      115      116      117      118      119      120 
## 2.487309 2.217477 6.877678 1.791604 4.489601 1.355587 2.217477 3.078554 
##      121      122      123      124      125      126      127      128 
## 1.821237 5.203879 2.699925 1.944751 3.287338 2.367863 3.873363 1.471463 
##      129      130      131      132      133      134      135      136 
## 2.699925 2.181397 2.042853 2.254153 3.627360 2.528449 3.568341 2.181397 
##      137      138      139      140      141      142      143      144 
## 3.873363 3.181234 2.217477 3.341710 8.941945 5.466387 4.274001 1.976917 
##      145      146      147      148      149      150      151      152 
## 2.528449 2.217477 6.655689 4.639343 1.881981 5.035916 3.396981 2.699925 
##      153      154      155      156      157      158      159      160 
## 1.623662 1.571256 2.042853 2.110989 3.810341 1.851360 1.821237 4.873373 
##      161      162      163      164      165      166      167      168 
## 2.836122 2.612781 3.748344 2.487309 2.836122 2.528449 1.913108 2.699925 
##      169      170      171      172      173 
## 2.655996 4.274001 3.627360 3.078554 2.042853 
## 
## $prior.weights
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 163 164 165 166 167 168 169 170 171 172 173 
##   1   1   1   1   1   1   1   1   1   1   1 
## 
## $df.residual
## [1] 171
## 
## $df.null
## [1] 172
## 
## $y
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   8   0   9   0   4   0   0   0   0   0   0   0  11   0  14   8   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   0   5   4   3   1   2   3   0   3   5   0   0   4   0   0   8   5   0 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   0   6   0   6   3   5   6   5   9   4   6   4   3   3   5   5   6   4 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   5  15   3   3   0   0   0   5   3   5   1   8  10   0   0   3   7   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   0   6   0   0   3   4   0   5   0   0   0   4   0   3   0   0   0   0 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   5   0   0   0   0   1   0   1   1   1   1   1   1   4   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   2   4   3   6   0   2   2   0  12   0   5   6   6   2   0   2   3   0 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   3   4   2   6   6   0   4  10   7   0   5   5   6   6   7   3   3   0 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   0   8   4   4  10   9   4   0   0   0   0   4   0   2   0   4   4   3 
## 163 164 165 166 167 168 169 170 171 172 173 
##   8   0   7   0   0   2   3   4   0   0   0 
## 
## $converged
## [1] TRUE
## 
## $boundary
## [1] FALSE
## 
## $model
##     satell width
## 1        8  28.3
## 2        0  22.5
## 3        9  26.0
## 4        0  24.8
## 5        4  26.0
## 6        0  23.8
## 7        0  26.5
## 8        0  24.7
## 9        0  23.7
## 10       0  25.6
## 11       0  24.3
## 12       0  25.8
## 13      11  28.2
## 14       0  21.0
## 15      14  26.0
## 16       8  27.1
## 17       1  25.2
## 18       1  29.0
## 19       0  24.7
## 20       5  27.4
## 21       4  23.2
## 22       3  25.0
## 23       1  22.5
## 24       2  26.7
## 25       3  25.8
## 26       0  26.2
## 27       3  28.7
## 28       5  26.8
## 29       0  27.5
## 30       0  24.9
## 31       4  29.3
## 32       0  25.8
## 33       0  25.7
## 34       8  25.7
## 35       5  26.7
## 36       0  23.7
## 37       0  26.8
## 38       6  27.5
## 39       0  23.4
## 40       6  27.9
## 41       3  27.5
## 42       5  26.1
## 43       6  27.7
## 44       5  30.0
## 45       9  28.5
## 46       4  28.9
## 47       6  28.2
## 48       4  25.0
## 49       3  28.5
## 50       3  30.3
## 51       5  24.7
## 52       5  27.7
## 53       6  27.4
## 54       4  22.9
## 55       5  25.7
## 56      15  28.3
## 57       3  27.2
## 58       3  26.2
## 59       0  27.8
## 60       0  25.5
## 61       0  27.1
## 62       5  24.5
## 63       3  27.0
## 64       5  26.0
## 65       1  28.0
## 66       8  30.0
## 67      10  29.0
## 68       0  26.2
## 69       0  26.5
## 70       3  26.2
## 71       7  25.6
## 72       1  23.0
## 73       0  23.0
## 74       6  25.4
## 75       0  24.2
## 76       0  22.9
## 77       3  26.0
## 78       4  25.4
## 79       0  25.7
## 80       5  25.1
## 81       0  24.5
## 82       0  27.5
## 83       0  23.1
## 84       4  25.9
## 85       0  25.8
## 86       3  27.0
## 87       0  28.5
## 88       0  25.5
## 89       0  23.5
## 90       0  24.0
## 91       5  29.7
## 92       0  26.8
## 93       0  26.7
## 94       0  28.7
## 95       0  23.1
## 96       1  29.0
## 97       0  25.5
## 98       1  26.5
## 99       1  24.5
## 100      1  28.5
## 101      1  28.2
## 102      1  24.5
## 103      1  27.5
## 104      4  24.7
## 105      1  25.2
## 106      1  27.3
## 107      1  26.3
## 108      1  29.0
## 109      2  25.3
## 110      4  26.5
## 111      3  27.8
## 112      6  27.0
## 113      0  25.7
## 114      2  25.0
## 115      2  31.9
## 116      0  23.7
## 117     12  29.3
## 118      0  22.0
## 119      5  25.0
## 120      6  27.0
## 121      6  23.8
## 122      2  30.2
## 123      0  26.2
## 124      2  24.2
## 125      3  27.4
## 126      0  25.4
## 127      3  28.4
## 128      4  22.5
## 129      2  26.2
## 130      6  24.9
## 131      6  24.5
## 132      0  25.1
## 133      4  28.0
## 134     10  25.8
## 135      7  27.9
## 136      0  24.9
## 137      5  28.4
## 138      5  27.2
## 139      6  25.0
## 140      6  27.5
## 141      7  33.5
## 142      3  30.5
## 143      3  29.0
## 144      0  24.3
## 145      0  25.8
## 146      8  25.0
## 147      4  31.7
## 148      4  29.5
## 149     10  24.0
## 150      9  30.0
## 151      4  27.6
## 152      0  26.2
## 153      0  23.1
## 154      0  22.9
## 155      0  24.5
## 156      4  24.7
## 157      0  28.3
## 158      2  23.9
## 159      0  23.8
## 160      4  29.8
## 161      4  26.5
## 162      3  26.0
## 163      8  28.2
## 164      0  25.7
## 165      7  26.5
## 166      0  25.8
## 167      0  24.1
## 168      2  26.2
## 169      3  26.1
## 170      4  29.0
## 171      0  28.0
## 172      0  27.0
## 173      0  24.5
## 
## $call
## glm(formula = satell ~ width, family = "poisson")
## 
## $formula
## satell ~ width
## 
## $terms
## satell ~ width
## attr(,"variables")
## list(satell, width)
## attr(,"factors")
##        width
## satell     0
## width      1
## attr(,"term.labels")
## [1] "width"
## attr(,"order")
## [1] 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: R_GlobalEnv>
## attr(,"predvars")
## list(satell, width)
## attr(,"dataClasses")
##    satell     width 
## "numeric" "numeric" 
## 
## $data
## <environment: R_GlobalEnv>
## 
## $offset
## NULL
## 
## $control
## $control$epsilon
## [1] 1e-08
## 
## $control$maxit
## [1] 25
## 
## $control$trace
## [1] FALSE
## 
## 
## $method
## [1] "glm.fit"
## 
## $contrasts
## NULL
## 
## $xlevels
## named list()
## 
## $coefficients
## (Intercept)       width   spinegood spinemiddle 
## -3.12469245  0.15668180  0.09898946 -0.10033226 
## 
## $residuals
##            1            2            3            4            5 
##  1.159850556 -1.000000000  2.155669715 -1.000000000  0.548458613 
##            6            7            8            9           10 
## -1.000000000 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           11           12           13           14           15 
## -1.000000000 -1.000000000  2.016692232 -1.000000000  3.908819557 
##           16           17           18           19           20 
##  1.360958612 -0.561190073 -0.758063448 -1.000000000  0.554336900 
##           21           22           23           24           25 
##  1.654619404  0.501691261 -0.393249452 -0.306195076  0.198312456 
##           26           27           28           29           30 
## -1.000000000 -0.239259472  0.546614949 -1.000000000 -1.000000000 
##           31           32           33           34           35 
## -0.163709647 -1.000000000 -1.000000000  1.940037243  0.571038427 
##           36           37           38           39           40 
## -1.000000000 -1.000000000  0.836207678 -1.000000000  0.724659570 
##           41           42           43           44           45 
## -0.081896161  0.725895247  0.611840309 -0.063225908  1.132929193 
##           46           47           48           49           50 
## -0.016971561  0.645468490  0.811113399 -0.215043189 -0.463743821 
##           51           52           53           54           55 
##  1.372845541  0.482966515  0.689412973  1.516763057  0.837523277 
##           56           57           58           59           60 
##  3.049719793 -0.037710791  0.125515959 -1.000000000 -1.000000000 
##           61           62           63           64           65 
## -1.000000000  1.448379177 -0.100659305  0.935573267 -0.717025352 
##           66           67           68           69           70 
##  0.654799695  1.419365518 -1.000000000 -1.000000000  0.125515959 
##           71           72           73           74           75 
##  1.885068091 -0.380590681 -1.000000000  1.551634621 -1.000000000 
##           76           77           78           79           80 
## -1.000000000  0.283910091  0.701089747 -1.000000000  1.228697123 
##           81           82           83           84           85 
## -1.000000000 -1.000000000 -1.000000000  0.424667864 -1.000000000 
##           86           87           88           89           90 
## -0.007078707 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           91           92           93           94           95 
## -0.018141999 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##           96           97           98           99          100 
## -0.780865424 -1.000000000 -0.642054761 -0.510324165 -0.738347730 
##          101          102          103          104          105 
## -0.725755252 -0.510324165 -0.693965387  1.098617077 -0.602546921 
##          106          107          108          109          110 
## -0.684223536 -0.630660465 -0.758063448 -0.136023688  0.431780956 
##          111          112          113          114          115 
## -0.124052674  0.985842586 -1.000000000 -0.094443301 -0.692816445 
##          116          117          118          119          120 
## -1.000000000  1.769930806 -1.000000000  1.263891749  0.985842586 
##          121          122          123          124          125 
##  2.278628066 -0.636850330 -1.000000000  0.026484701 -0.067397860 
##          126          127          128          129          130 
## -1.000000000 -0.202647489  1.679543100 -0.249656027  1.499487265 
##          131          132          133          134          135 
##  2.248131998 -1.000000000  0.025219696  2.994374855  1.012102831 
##          136          137          138          139          140 
## -1.000000000  0.203673052  0.603815349  2.003382523  0.836207678 
##          141          142          143          144          145 
## -0.242117704 -0.426209070 -0.274190344 -1.000000000 -1.000000000 
##          146          147          148          149          150 
##  2.622226798 -0.425821948 -0.105174283  4.295801443  0.861649657 
##          151          152          153          154          155 
##  0.205107907 -1.000000000 -1.000000000 -1.000000000 -1.000000000 
##          156          157          158          159          160 
##  0.898276433 -1.000000000  0.075886092 -1.000000000 -0.056159973 
##          161          162          163          164          165 
##  0.431780956  0.161343960  1.193957987 -1.000000000  1.505616672 
##          166          167          168          169          170 
## -1.000000000 -1.000000000 -0.249656027  0.143289622 -0.032253793 
##          171          172          173 
## -1.000000000 -1.000000000 -1.000000000 
## 
## $fitted.values
##        1        2        3        4        5        6        7        8 
## 3.703960 1.492792 2.852009 2.140450 2.583214 1.830034 3.084423 1.906017 
##        9       10       11       12       13       14       15       16 
## 1.989047 2.426286 1.979166 2.503521 3.646378 1.067472 2.852009 3.388454 
##       17       18       19       20       21       22       23       24 
## 2.278891 4.133315 2.107175 3.216806 1.506807 1.997748 1.648124 2.882655 
##       25       26       27       28       29       30       31       32 
## 2.503521 2.665444 3.943526 3.232867 3.267604 2.174251 4.783028 2.503521 
##       33       34       35       36       37       38       39       40 
## 2.229322 2.721054 3.182608 1.801584 2.928176 3.267604 1.718861 3.478947 
##       41       42       43       44       45       46       47       48 
## 3.267604 2.897047 3.722453 5.337466 4.219549 4.069058 3.646378 2.208586 
##       49       50       51       52       53       54       55       56 
## 3.821866 5.594341 2.107175 3.371620 3.551529 1.589343 2.721054 3.703960 
##       57       58       59       60       61       62       63       64 
## 3.117566 2.665444 3.781237 2.388567 3.069100 2.042167 3.335777 2.583214 
##       65       66       67       68       69       70       71       72 
## 3.533885 4.834422 4.133315 2.665444 3.084423 2.665444 2.426286 1.614441 
##       73       74       75       76       77       78       79       80 
## 1.614441 2.351434 1.948397 1.437619 2.336612 2.351434 2.464601 2.243463 
##       81       82       83       84       85       86       87       88 
## 1.847216 3.267604 1.639936 2.807672 2.503521 3.021388 3.821866 2.637108 
##       89       90       91       92       93       94       95       96 
## 1.746004 1.708026 5.092386 3.232867 2.882655 4.353868 1.639936 4.563406 
##       97       98       99      100      101      102      103      104 
## 2.388567 2.793723 2.042167 3.821866 3.646378 2.042167 3.267604 1.906017 
##      105      106      107      108      109      110      111      112 
## 2.516020 3.166797 2.707536 4.133315 2.314878 2.793723 3.424863 3.021388 
##      113      114      115      116      117      118      119      120 
## 2.464601 2.208586 6.510765 1.801584 4.332238 1.380309 2.208586 3.021388 
##      121      122      123      124      125      126      127      128 
## 1.830034 5.507371 2.665444 1.948397 3.216806 2.126959 3.762451 1.492792 
##      129      130      131      132      133      134      135      136 
## 2.665444 2.400492 1.847216 2.243463 3.901603 2.503521 3.478947 2.174251 
##      137      138      139      140      141      142      143      144 
## 4.153952 3.117566 1.997748 3.267604 9.236263 5.228385 4.133315 2.185107 
##      145      146      147      148      149      150      151      152 
## 2.503521 2.208586 6.966480 4.470144 1.888288 4.834422 3.319205 2.665444 
##      153      154      155      156      157      158      159      160 
## 1.810579 1.754722 2.042167 2.107175 3.703960 1.858933 1.830034 4.238006 
##      161      162      163      164      165      166      167      168 
## 2.793723 2.583214 3.646378 2.464601 2.793723 2.503521 1.918107 2.665444 
##      169      170      171      172      173 
## 2.624007 4.133315 3.901603 3.021388 1.847216 
## 
## $effects
##   (Intercept)         width     spinegood   spinemiddle               
## -25.546363793   8.230025412  -1.003844608  -0.519614796   0.912829098 
##                                                                       
##  -1.294382528  -2.326958462  -1.711726518  -1.826122613  -1.520587425 
##                                                                       
##  -1.353662552  -1.548006534   3.842966013  -1.239847222   6.061479706 
##                                                                       
##   1.895157332  -0.804748853  -1.567218897  -1.403003777   1.002154287 
##                                                                       
##   1.756474128   0.365518732  -0.866746594  -0.499572584   0.348025463 
##                                                                       
##  -1.604313649  -0.494144633   0.392738852  -1.801609432  -1.428334135 
##                                                                       
##  -1.134641632  -1.548006534  -1.867290702   2.678381561   0.435165772 
##                                                                       
##  -1.282836899  -1.692576855   1.517614275  -1.248804733   1.349833265 
##                                                                       
##  -0.141997579   0.689755528   0.528579775  -0.983863915   1.615473661 
##                                                                       
##  -0.057893934   1.224546892   1.250384621  -0.434911675  -1.962218842 
##                                                                       
##   2.041445024   0.889005939   0.668577633   1.978813455   0.859716709 
##                                                                       
##   5.859249804  -0.054980445   0.233224880  -2.603644581  -1.507057789 
##                                                                       
##  -1.738485199   2.120726259  -0.787180298   1.535014480  -1.351744559 
##                                                                       
##   1.387903950   2.859615266  -1.604313649  -2.326958462   0.233224880 
##                                                                       
##   2.973350315  -0.417781592  -1.204807200   2.419128203  -1.341596610 
##                                                                       
##  -1.463362368   0.045949799   1.114869898  -1.534236659   1.884071322 
##                                                                       
##  -1.682189651  -1.801609432  -1.215661425   0.177900301  -1.548006534 
##                                                                       
##   0.002861836  -1.969470384  -2.134138415  -1.260048877  -1.610536762 
##                                                                       
##  -0.851984797  -2.388101785  -1.677541105  -2.814062002  -1.215661425 
##                                                                       
##  -2.419763051  -1.507057789  -1.049578003  -0.678347382  -1.457950814 
##                                                                       
##  -1.393872229  -0.678347382  -1.248405481   1.185594332  -1.449004627 
##                                                                       
##  -1.207830135  -1.010969604  -1.567218897  -0.165837062   0.745277736 
##                                                                       
##  -0.229367583   1.728771411  -1.534236659  -0.095391502  -1.880137586 
##                                                                       
##  -1.282836899   3.650564319  -1.101376322   1.923272683   1.728771411 
##                                                                       
##   3.140904167  -2.350623047  -1.604313649   0.091222070  -0.112955355 
##                                                                       
##  -1.819206806  -0.405385734   2.121911719  -0.379287963   1.846448241 
##                                                                       
##   2.732421488  -1.454114634  -0.623950343   4.772100122   1.885970618 
##                                                                       
##  -1.428334135  -0.288878389   1.077738528   2.488034617   1.517614275 
##                                                                       
##  -1.952424806  -1.040758249  -0.583477972  -1.923555919  -1.548006534 
##                                                                       
##   3.941936869  -2.129362928  -0.260820999   5.959444222   1.842711561 
##                                                                       
##   0.377808026  -1.604313649  -1.733581428  -1.703779005  -1.378115793 
##                                                                       
##   1.352555264  -1.934709189   0.160861587  -1.294382528  -0.722413791 
##                                                                       
##   0.745277736   0.290643716   2.271914541  -1.534236659   2.540133475 
##                                                                       
##  -1.548006534  -1.329636550  -0.379287963   0.261939922  -0.091607510 
##                                           
##  -2.649012996  -1.723047739  -1.682189651 
## 
## $R
##             (Intercept)      width spinegood spinemiddle
## (Intercept)   -22.47221 -608.26697 -6.007421  -1.3349825
## width           0.00000   50.18306  2.648472  -1.0473453
## spinegood       0.00000    0.00000 -9.586266   0.5472347
## spinemiddle     0.00000    0.00000  0.000000   5.1789405
## 
## $rank
## [1] 4
## 
## $qr
## $qr
##      (Intercept)         width     spinegood   spinemiddle
## 1   -22.47220515 -6.082670e+02 -6.007421e+00 -1.3349825021
## 2     0.05436932  5.018306e+01  2.648472e+00 -1.0473453425
## 3     0.07515014  3.919684e-02 -9.586266e+00  0.5472347488
## 4     0.06510388  6.894149e-02 -1.853278e-02  5.1789404550
## 5     0.07152115  3.730403e-02 -3.097796e-02  0.0268500210
## 6     0.06019825  9.070374e-02 -9.688530e-03  0.0308169442
## 7     0.07815222  2.326420e-02  1.445205e-01  0.0060613335
## 8     0.06143526  6.780772e-02 -1.672837e-02 -0.2385575462
## 9     0.06275912  9.737272e-02  1.377962e-01  0.0157712887
## 10    0.06931469  4.856896e-02 -2.659200e-02  0.0277420830
## 11    0.06260303  8.031019e-02 -1.394822e-02  0.0301057441
## 12    0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 13    0.08497382 -3.939299e-02 -5.993342e-02  0.0203005138
## 14    0.04597614  1.269219e-01  8.527433e-03 -0.1679732008
## 15    0.07515014  3.919684e-02  1.436178e-01  0.0081600408
## 16    0.08191343  2.375107e-03  1.453951e-01  0.0033033964
## 17    0.06717630  5.910333e-02 -2.244717e-02  0.0285535494
## 18    0.09046979 -7.435109e-02 -7.276422e-02  0.0171225788
## 19    0.06459584  7.129614e-02 -1.758897e-02  0.0294608102
## 20    0.07981173 -8.407851e-03 -4.839300e-02  0.0230291447
## 21    0.05462396  9.698120e-02 -4.736504e-03 -0.2070246261
## 22    0.06289623  6.097066e-02 -1.946066e-02 -0.2454014117
## 23    0.05712803  1.193345e-01  1.339139e-01  0.0186099721
## 24    0.07555281  1.572384e-02 -3.926742e-02  0.0250819107
## 25    0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 26    0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 27    0.08836833 -6.075252e-02 -6.779413e-02  0.0183698345
## 28    0.08001073  1.306869e-02  1.449876e-01  0.0047160700
## 29    0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 30    0.06561591  6.654539e-02 -1.949034e-02  0.0291117459
## 31    0.09732082 -9.305572e-02  1.462536e-01 -0.0093605750
## 32    0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 33    0.06644170  4.358056e-02 -2.631182e-02 -0.2621206289
## 34    0.07340453  4.814763e-02  1.430063e-01  0.0093369283
## 35    0.07938636  1.652167e-02  1.448383e-01  0.0051718627
## 36    0.05972849  9.267061e-02 -8.873959e-03  0.0309470815
## 37    0.07614702  1.243760e-02 -4.051835e-02  0.0248066821
## 38    0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 39    0.05834111  9.835566e-02 -6.502426e-03  0.0313142593
## 40    0.08300003 -2.732762e-02 -5.546061e-02  0.0213740203
## 41    0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 42    0.07574119  3.611339e-02  1.438103e-01  0.0077542423
## 43    0.08585566 -2.057852e-02  1.460192e-01  0.0002659590
## 44    0.10280681 -1.305274e-01  1.455944e-01 -0.0143536637
## 45    0.09140866 -5.465608e-02  1.464162e-01 -0.0042543835
## 46    0.08976381 -6.975123e-02 -7.108584e-02  0.0175459497
## 47    0.08497382 -3.939299e-02 -5.993342e-02  0.0203005138
## 48    0.06613197  6.410734e-02 -2.046182e-02  0.0289303550
## 49    0.08699455 -5.201675e-02 -6.458759e-02  0.0191638625
## 50    0.10525162 -1.477711e-01  1.451502e-01 -0.0166542696
## 51    0.06459584  7.129614e-02 -1.758897e-02  0.0294608102
## 52    0.08170970 -1.958479e-02 -5.257658e-02  0.0220557598
## 53    0.08386138 -8.834465e-03  1.457401e-01  0.0018208673
## 54    0.05610004  1.071384e-01 -2.782270e-03  0.0318518888
## 55    0.07340453  4.814763e-02  1.430063e-01  0.0093369283
## 56    0.08564213 -4.353791e-02 -6.146436e-02  0.0199287629
## 57    0.07857097 -1.240253e-03 -4.569650e-02  0.0236462017
## 58    0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 59    0.08653090 -2.461526e-02  1.460971e-01 -0.0002688757
## 60    0.06877380  5.126968e-02 -2.553361e-02  0.0279523412
## 61    0.07795785  2.260414e-03 -4.437541e-02  0.0239454093
## 62    0.06359163  7.588309e-02 -1.574201e-02  0.0297919857
## 63    0.08127422  5.996070e-03  1.452661e-01  0.0037819270
## 64    0.07152115  3.730403e-02 -3.097796e-02  0.0268500210
## 65    0.08365281 -3.128856e-02 -5.693176e-02  0.0210230561
## 66    0.09784228 -1.242243e-01 -9.079902e-02  0.0124467812
## 67    0.09046979 -7.435109e-02 -7.276422e-02  0.0171225788
## 68    0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 69    0.07815222  2.326420e-02  1.445205e-01  0.0060613335
## 70    0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 71    0.06931469  4.856896e-02 -2.659200e-02  0.0277420830
## 72    0.05654126  1.054491e-01 -3.503686e-03  0.0317515595
## 73    0.05654126  1.054491e-01 -3.503686e-03  0.0317515595
## 74    0.06823712  5.392528e-02 -2.449012e-02  0.0281576287
## 75    0.06211451  8.246501e-02 -1.307089e-02  0.0302562365
## 76    0.05335514  1.018963e-01 -2.646137e-03 -0.2012225980
## 77    0.06802172  3.547880e-02 -2.946225e-02 -0.2696202506
## 78    0.06823712  5.392528e-02 -2.449012e-02  0.0281576287
## 79    0.06985984  4.582259e-02 -2.766545e-02  0.0275267884
## 80    0.06665209  6.162683e-02 -2.144738e-02  0.0287443102
## 81    0.06048018  7.217024e-02 -1.497177e-02 -0.2340983512
## 82    0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 83    0.05698594  1.037266e-01 -4.236278e-03  0.0316476817
## 84    0.07456371  4.222997e-02  1.434196e-01  0.0085590337
## 85    0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 86    0.07734950  5.706521e-03 -4.307215e-02  0.0242385073
## 87    0.08699455 -5.201675e-02 -6.458759e-02  0.0191638625
## 88    0.07226338  5.387110e-02  1.425712e-01  0.0100885680
## 89    0.05879995  9.649612e-02 -7.281045e-03  0.0311956863
## 90    0.05815695  8.241942e-02 -1.079904e-02 -0.2233015563
## 91    0.10041879 -1.140051e-01  1.459397e-01 -0.0121509500
## 92    0.08001073  1.306869e-02  1.449876e-01  0.0047160700
## 93    0.07555281  1.572384e-02 -3.926742e-02  0.0250819107
## 94    0.09285215 -6.383511e-02  1.464308e-01 -0.0054738667
## 95    0.05698594  1.037266e-01 -4.236278e-03  0.0316476817
## 96    0.09506023 -7.812367e-02  1.463847e-01 -0.0073735920
## 97    0.06877380  5.126968e-02 -2.553361e-02  0.0279523412
## 98    0.07437826  2.214078e-02 -3.681653e-02  0.0256150234
## 99    0.06359163  7.588309e-02 -1.574201e-02  0.0297919857
## 100   0.08699455 -5.201675e-02 -6.458759e-02  0.0191638625
## 101   0.08497382 -3.939299e-02 -5.993342e-02  0.0203005138
## 102   0.06359163  7.588309e-02 -1.574201e-02  0.0297919857
## 103   0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 104   0.06143526  6.780772e-02 -1.672837e-02 -0.2385575462
## 105   0.07058483  6.210223e-02  1.418794e-01  0.0111681702
## 106   0.07918892 -4.796124e-03 -4.703563e-02  0.0233408064
## 107   0.07322197  2.835440e-02 -3.443236e-02  0.0261254987
## 108   0.09046979 -7.435109e-02 -7.276422e-02  0.0171225788
## 109   0.06770463  5.653632e-02 -2.346137e-02  0.0283580100
## 110   0.07437826  2.214078e-02 -3.681653e-02  0.0256150234
## 111   0.08235234 -2.342660e-02 -5.400896e-02  0.0217182269
## 112   0.07734950  5.706521e-03 -4.307215e-02  0.0242385073
## 113   0.06985984  4.582259e-02 -2.766545e-02  0.0275267884
## 114   0.06613197  6.410734e-02 -2.046182e-02  0.0289303550
## 115   0.11354560 -2.407697e-01 -1.320631e-01  0.0010579295
## 116   0.05972849  9.267061e-02 -8.873959e-03  0.0309470815
## 117   0.09262121 -8.856207e-02 -7.793236e-02  0.0158056135
## 118   0.05228082  1.209150e-01  3.228557e-03  0.0326030911
## 119   0.06613197  6.410734e-02 -2.046182e-02  0.0289303550
## 120   0.07734950  5.706521e-03 -4.307215e-02  0.0242385073
## 121   0.06019825  9.070374e-02 -9.688530e-03  0.0308169442
## 122   0.10443029 -1.419415e-01  1.453095e-01 -0.0158763157
## 123   0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 124   0.06211451  8.246501e-02 -1.307089e-02  0.0302562365
## 125   0.07981173 -8.407851e-03 -4.839300e-02  0.0230291447
## 126   0.06489838  5.128680e-02 -2.329186e-02 -0.2548239393
## 127   0.08631569 -4.774558e-02 -6.301567e-02  0.0195499087
## 128   0.05436932  1.135719e-01 -5.783725e-06  0.0322186954
## 129   0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 130   0.06894527  6.992191e-02  1.411428e-01  0.0121921746
## 131   0.06048018  7.217024e-02 -1.497177e-02 -0.2340983512
## 132   0.06665209  6.162683e-02 -2.144738e-02  0.0287443102
## 133   0.08789736 -3.287615e-02  1.462293e-01 -0.0013639323
## 134   0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 135   0.08300003 -2.732762e-02 -5.546061e-02  0.0213740203
## 136   0.06561591  6.654539e-02 -1.949034e-02  0.0291117459
## 137   0.09069535 -5.016819e-02  1.463957e-01 -0.0036584175
## 138   0.07857097 -1.240253e-03 -4.569650e-02  0.0236462017
## 139   0.06289623  6.097066e-02 -1.946066e-02 -0.2454014117
## 140   0.08043944 -1.207609e-02 -4.976881e-02  0.0227111369
## 141   0.13523915 -3.836673e-01  1.329632e-01 -0.0482524799
## 142   0.10175086 -1.519690e-01 -1.007206e-01  0.0097871685
## 143   0.09046979 -7.435109e-02 -7.276422e-02  0.0171225788
## 144   0.06577951  8.438513e-02  1.395449e-01  0.0140813286
## 145   0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 146   0.06613197  6.410734e-02 -2.046182e-02  0.0289303550
## 147   0.11745216 -2.385343e-01  1.416319e-01 -0.0287879074
## 148   0.09408385 -9.838684e-02 -8.149106e-02  0.0148876236
## 149   0.06114887  8.665955e-02 -1.135461e-02  0.0305447315
## 150   0.09784228 -1.242243e-01 -9.079902e-02  0.0124467812
## 151   0.08107208 -1.580151e-02 -5.116326e-02  0.0223867024
## 152   0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 153   0.05987741  1.089897e-01  1.359139e-01  0.0172763647
## 154   0.05894656  1.125746e-01  1.352596e-01  0.0177393148
## 155   0.06359163  7.588309e-02 -1.574201e-02  0.0297919857
## 156   0.06459584  7.129614e-02 -1.758897e-02  0.0294608102
## 157   0.08564213 -4.353791e-02 -6.146436e-02  0.0199287629
## 158   0.06067170  8.870021e-02 -1.051537e-02  0.0306828456
## 159   0.06019825  9.070374e-02 -9.688530e-03  0.0308169442
## 160   0.09160836 -1.081049e-01 -8.274707e-02 -0.3847119065
## 161   0.07437826  2.214078e-02 -3.681653e-02  0.0256150234
## 162   0.07152115  3.730403e-02 -3.097796e-02  0.0268500210
## 163   0.08497382 -3.939299e-02 -5.993342e-02  0.0203005138
## 164   0.06985984  4.582259e-02 -2.766545e-02  0.0275267884
## 165   0.07437826  2.214078e-02 -3.681653e-02  0.0256150234
## 166   0.07040928  4.303002e-02 -2.875415e-02  0.0273063913
## 167   0.06162980  8.458130e-02 -1.220640e-02  0.0304025470
## 168   0.07265058  3.138647e-02 -3.326483e-02  0.0263724275
## 169   0.07208366  3.436948e-02 -3.211342e-02  0.0266139116
## 170   0.09046979 -7.435109e-02 -7.276422e-02  0.0171225788
## 171   0.08789736 -3.287615e-02  1.462293e-01 -0.0013639323
## 172   0.07734950  5.706521e-03 -4.307215e-02  0.0242385073
## 173   0.06048018  7.217024e-02 -1.497177e-02 -0.2340983512
## 
## $rank
## [1] 4
## 
## $qraux
## [1] 1.085642 1.113572 1.143618 1.029289
## 
## $pivot
## [1] 1 2 3 4
## 
## $tol
## [1] 1e-11
## 
## attr(,"class")
## [1] "qr"
## 
## $family
## 
## Family: poisson 
## Link function: log 
## 
## 
## $linear.predictors
##          1          2          3          4          5          6 
## 1.30940251 0.40064807 1.04802383 0.76101621 0.94903437 0.60433441 
##          7          8          9         10         11         12 
## 1.12636473 0.64501577 0.68765569 0.88636165 0.68267531 0.91769801 
##         13         14         15         16         17         18 
## 1.29373433 0.06529311 1.04802383 1.22037381 0.82368893 1.41907977 
##         19         20         21         22         23         24 
## 0.74534803 1.16838889 0.40999307 0.69202031 0.49963753 1.05871163 
##         25         26         27         28         29         30 
## 0.91769801 0.98037073 1.37207523 1.17336927 1.18405707 0.77668439 
##         31         32         33         34         35         36 
## 1.56507377 0.91769801 0.80169757 1.00101929 1.15770109 0.58866623 
##         37         38         39         40         41         42 
## 1.07437981 1.18405707 0.54166169 1.24672979 1.18405707 1.06369201 
##         43         44         45         46         47         48 
## 1.31438289 1.67475104 1.43972833 1.40341159 1.29373433 0.79235257 
##         49         50         51         52         53         54 
## 1.34073887 1.72175558 0.74534803 1.21539343 1.26737835 0.46332079 
##         55         56         57         58         59         60 
## 1.00101929 1.30940251 1.13705253 0.98037073 1.33005107 0.87069347 
##         61         62         63         64         65         66 
## 1.12138435 0.71401167 1.20470563 0.94903437 1.26239797 1.57576157 
##         67         68         69         70         71         72 
## 1.41907977 0.98037073 1.12636473 0.98037073 0.88636165 0.47898897 
##         73         74         75         76         77         78 
## 0.47898897 0.85502529 0.66700713 0.36298853 0.84870211 0.85502529 
##         79         80         81         82         83         84 
## 0.90202983 0.80802075 0.61367941 1.18405707 0.49465715 1.03235565 
##         85         86         87         88         89         90 
## 0.91769801 1.10571617 1.34073887 0.96968293 0.55732987 0.53533851 
##         91         92         93         94         95         96 
## 1.62774649 1.17336927 1.05871163 1.47106469 0.49465715 1.51806923 
##         97         98         99        100        101        102 
## 0.87069347 1.02737527 0.71401167 1.34073887 1.29373433 0.71401167 
##        103        104        105        106        107        108 
## 1.18405707 0.64501577 0.92267839 1.15272071 0.99603891 1.41907977 
##        109        110        111        112        113        114 
## 0.83935711 1.02737527 1.23106161 1.10571617 0.90202983 0.79235257 
##        115        116        117        118        119        120 
## 1.87345699 0.58866623 1.46608431 0.32230717 0.79235257 1.10571617 
##        121        122        123        124        125        126 
## 0.60433441 1.70608740 0.98037073 0.66700713 1.16838889 0.75469303 
##        127        128        129        130        131        132 
## 1.32507069 0.40064807 0.98037073 0.87567385 0.61367941 0.80802075 
##        133        134        135        136        137        138 
## 1.36138743 0.91769801 1.24672979 0.77668439 1.42406015 1.13705253 
##        139        140        141        142        143        144 
## 0.69202031 1.18405707 2.22313734 1.65410247 1.41907977 0.78166477 
##        145        146        147        148        149        150 
## 0.91769801 0.79235257 1.94111010 1.49742067 0.63567077 1.57576157 
##        151        152        153        154        155        156 
## 1.19972525 0.98037073 0.59364661 0.56231025 0.71401167 0.74534803 
##        157        158        159        160        161        162 
## 1.30940251 0.62000259 0.60433441 1.44409295 1.02737527 0.94903437 
##        163        164        165        166        167        168 
## 1.29373433 0.90202983 1.02737527 0.91769801 0.65133895 0.98037073 
##        169        170        171        172        173 
## 0.96470255 1.41907977 1.36138743 1.10571617 0.61367941 
## 
## $deviance
## [1] 566.6049
## 
## $aic
## [1] 929.9026
## 
## $null.deviance
## [1] 632.7917
## 
## $iter
## [1] 6
## 
## $weights
##        1        2        3        4        5        6        7        8 
## 3.703960 1.492792 2.852010 2.140450 2.583214 1.830034 3.084423 1.906017 
##        9       10       11       12       13       14       15       16 
## 1.989047 2.426286 1.979166 2.503521 3.646378 1.067472 2.852010 3.388454 
##       17       18       19       20       21       22       23       24 
## 2.278891 4.133315 2.107175 3.216806 1.506807 1.997748 1.648124 2.882655 
##       25       26       27       28       29       30       31       32 
## 2.503521 2.665444 3.943526 3.232867 3.267604 2.174251 4.783028 2.503521 
##       33       34       35       36       37       38       39       40 
## 2.229322 2.721054 3.182608 1.801584 2.928176 3.267604 1.718861 3.478947 
##       41       42       43       44       45       46       47       48 
## 3.267604 2.897047 3.722453 5.337466 4.219549 4.069058 3.646378 2.208586 
##       49       50       51       52       53       54       55       56 
## 3.821866 5.594341 2.107175 3.371620 3.551530 1.589343 2.721054 3.703960 
##       57       58       59       60       61       62       63       64 
## 3.117566 2.665444 3.781237 2.388567 3.069100 2.042167 3.335777 2.583214 
##       65       66       67       68       69       70       71       72 
## 3.533885 4.834422 4.133315 2.665444 3.084423 2.665444 2.426286 1.614441 
##       73       74       75       76       77       78       79       80 
## 1.614441 2.351434 1.948397 1.437619 2.336612 2.351434 2.464601 2.243463 
##       81       82       83       84       85       86       87       88 
## 1.847216 3.267604 1.639936 2.807672 2.503521 3.021388 3.821866 2.637108 
##       89       90       91       92       93       94       95       96 
## 1.746004 1.708026 5.092386 3.232867 2.882655 4.353868 1.639936 4.563406 
##       97       98       99      100      101      102      103      104 
## 2.388567 2.793723 2.042167 3.821866 3.646378 2.042167 3.267604 1.906017 
##      105      106      107      108      109      110      111      112 
## 2.516020 3.166797 2.707536 4.133315 2.314878 2.793723 3.424863 3.021388 
##      113      114      115      116      117      118      119      120 
## 2.464601 2.208586 6.510765 1.801584 4.332238 1.380309 2.208586 3.021388 
##      121      122      123      124      125      126      127      128 
## 1.830034 5.507371 2.665444 1.948397 3.216806 2.126959 3.762451 1.492792 
##      129      130      131      132      133      134      135      136 
## 2.665444 2.400492 1.847216 2.243463 3.901603 2.503521 3.478947 2.174251 
##      137      138      139      140      141      142      143      144 
## 4.153952 3.117566 1.997748 3.267604 9.236263 5.228385 4.133315 2.185107 
##      145      146      147      148      149      150      151      152 
## 2.503521 2.208586 6.966480 4.470144 1.888288 4.834422 3.319205 2.665444 
##      153      154      155      156      157      158      159      160 
## 1.810579 1.754722 2.042167 2.107175 3.703960 1.858933 1.830034 4.238006 
##      161      162      163      164      165      166      167      168 
## 2.793723 2.583214 3.646378 2.464601 2.793723 2.503521 1.918107 2.665444 
##      169      170      171      172      173 
## 2.624007 4.133315 3.901603 3.021388 1.847216 
## 
## $prior.weights
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 163 164 165 166 167 168 169 170 171 172 173 
##   1   1   1   1   1   1   1   1   1   1   1 
## 
## $df.residual
## [1] 169
## 
## $df.null
## [1] 172
## 
## $y
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   8   0   9   0   4   0   0   0   0   0   0   0  11   0  14   8   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   0   5   4   3   1   2   3   0   3   5   0   0   4   0   0   8   5   0 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   0   6   0   6   3   5   6   5   9   4   6   4   3   3   5   5   6   4 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   5  15   3   3   0   0   0   5   3   5   1   8  10   0   0   3   7   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   0   6   0   0   3   4   0   5   0   0   0   4   0   3   0   0   0   0 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   5   0   0   0   0   1   0   1   1   1   1   1   1   4   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   2   4   3   6   0   2   2   0  12   0   5   6   6   2   0   2   3   0 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   3   4   2   6   6   0   4  10   7   0   5   5   6   6   7   3   3   0 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   0   8   4   4  10   9   4   0   0   0   0   4   0   2   0   4   4   3 
## 163 164 165 166 167 168 169 170 171 172 173 
##   8   0   7   0   0   2   3   4   0   0   0 
## 
## $converged
## [1] TRUE
## 
## $boundary
## [1] FALSE
## 
## $model
##     satell width  spine
## 1        8  28.3    bad
## 2        0  22.5    bad
## 3        9  26.0   good
## 4        0  24.8    bad
## 5        4  26.0    bad
## 6        0  23.8    bad
## 7        0  26.5   good
## 8        0  24.7 middle
## 9        0  23.7   good
## 10       0  25.6    bad
## 11       0  24.3    bad
## 12       0  25.8    bad
## 13      11  28.2    bad
## 14       0  21.0 middle
## 15      14  26.0   good
## 16       8  27.1   good
## 17       1  25.2    bad
## 18       1  29.0    bad
## 19       0  24.7    bad
## 20       5  27.4    bad
## 21       4  23.2 middle
## 22       3  25.0 middle
## 23       1  22.5   good
## 24       2  26.7    bad
## 25       3  25.8    bad
## 26       0  26.2    bad
## 27       3  28.7    bad
## 28       5  26.8   good
## 29       0  27.5    bad
## 30       0  24.9    bad
## 31       4  29.3   good
## 32       0  25.8    bad
## 33       0  25.7 middle
## 34       8  25.7   good
## 35       5  26.7   good
## 36       0  23.7    bad
## 37       0  26.8    bad
## 38       6  27.5    bad
## 39       0  23.4    bad
## 40       6  27.9    bad
## 41       3  27.5    bad
## 42       5  26.1   good
## 43       6  27.7   good
## 44       5  30.0   good
## 45       9  28.5   good
## 46       4  28.9    bad
## 47       6  28.2    bad
## 48       4  25.0    bad
## 49       3  28.5    bad
## 50       3  30.3   good
## 51       5  24.7    bad
## 52       5  27.7    bad
## 53       6  27.4   good
## 54       4  22.9    bad
## 55       5  25.7   good
## 56      15  28.3    bad
## 57       3  27.2    bad
## 58       3  26.2    bad
## 59       0  27.8   good
## 60       0  25.5    bad
## 61       0  27.1    bad
## 62       5  24.5    bad
## 63       3  27.0   good
## 64       5  26.0    bad
## 65       1  28.0    bad
## 66       8  30.0    bad
## 67      10  29.0    bad
## 68       0  26.2    bad
## 69       0  26.5   good
## 70       3  26.2    bad
## 71       7  25.6    bad
## 72       1  23.0    bad
## 73       0  23.0    bad
## 74       6  25.4    bad
## 75       0  24.2    bad
## 76       0  22.9 middle
## 77       3  26.0 middle
## 78       4  25.4    bad
## 79       0  25.7    bad
## 80       5  25.1    bad
## 81       0  24.5 middle
## 82       0  27.5    bad
## 83       0  23.1    bad
## 84       4  25.9   good
## 85       0  25.8    bad
## 86       3  27.0    bad
## 87       0  28.5    bad
## 88       0  25.5   good
## 89       0  23.5    bad
## 90       0  24.0 middle
## 91       5  29.7   good
## 92       0  26.8   good
## 93       0  26.7    bad
## 94       0  28.7   good
## 95       0  23.1    bad
## 96       1  29.0   good
## 97       0  25.5    bad
## 98       1  26.5    bad
## 99       1  24.5    bad
## 100      1  28.5    bad
## 101      1  28.2    bad
## 102      1  24.5    bad
## 103      1  27.5    bad
## 104      4  24.7 middle
## 105      1  25.2   good
## 106      1  27.3    bad
## 107      1  26.3    bad
## 108      1  29.0    bad
## 109      2  25.3    bad
## 110      4  26.5    bad
## 111      3  27.8    bad
## 112      6  27.0    bad
## 113      0  25.7    bad
## 114      2  25.0    bad
## 115      2  31.9    bad
## 116      0  23.7    bad
## 117     12  29.3    bad
## 118      0  22.0    bad
## 119      5  25.0    bad
## 120      6  27.0    bad
## 121      6  23.8    bad
## 122      2  30.2   good
## 123      0  26.2    bad
## 124      2  24.2    bad
## 125      3  27.4    bad
## 126      0  25.4 middle
## 127      3  28.4    bad
## 128      4  22.5    bad
## 129      2  26.2    bad
## 130      6  24.9   good
## 131      6  24.5 middle
## 132      0  25.1    bad
## 133      4  28.0   good
## 134     10  25.8    bad
## 135      7  27.9    bad
## 136      0  24.9    bad
## 137      5  28.4   good
## 138      5  27.2    bad
## 139      6  25.0 middle
## 140      6  27.5    bad
## 141      7  33.5   good
## 142      3  30.5    bad
## 143      3  29.0    bad
## 144      0  24.3   good
## 145      0  25.8    bad
## 146      8  25.0    bad
## 147      4  31.7   good
## 148      4  29.5    bad
## 149     10  24.0    bad
## 150      9  30.0    bad
## 151      4  27.6    bad
## 152      0  26.2    bad
## 153      0  23.1   good
## 154      0  22.9   good
## 155      0  24.5    bad
## 156      4  24.7    bad
## 157      0  28.3    bad
## 158      2  23.9    bad
## 159      0  23.8    bad
## 160      4  29.8 middle
## 161      4  26.5    bad
## 162      3  26.0    bad
## 163      8  28.2    bad
## 164      0  25.7    bad
## 165      7  26.5    bad
## 166      0  25.8    bad
## 167      0  24.1    bad
## 168      2  26.2    bad
## 169      3  26.1    bad
## 170      4  29.0    bad
## 171      0  28.0   good
## 172      0  27.0    bad
## 173      0  24.5 middle
## 
## $call
## glm(formula = satell ~ width + spine, family = "poisson")
## 
## $formula
## satell ~ width + spine
## 
## $terms
## satell ~ width + spine
## attr(,"variables")
## list(satell, width, spine)
## attr(,"factors")
##        width spine
## satell     0     0
## width      1     0
## spine      0     1
## attr(,"term.labels")
## [1] "width" "spine"
## attr(,"order")
## [1] 1 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: R_GlobalEnv>
## attr(,"predvars")
## list(satell, width, spine)
## attr(,"dataClasses")
##    satell     width     spine 
## "numeric" "numeric"  "factor" 
## 
## $data
## <environment: R_GlobalEnv>
## 
## $offset
## NULL
## 
## $control
## $control$epsilon
## [1] 1e-08
## 
## $control$maxit
## [1] 25
## 
## $control$trace
## [1] FALSE
## 
## 
## $method
## [1] "glm.fit"
## 
## $contrasts
## $contrasts$spine
## [1] "contr.treatment"
## 
## 
## $xlevels
## $xlevels$spine
## [1] "bad"    "good"   "middle"
## 
## 
## $coefficients
## (Intercept)       width colordarker  colorlight colormedium 
## -3.08640395  0.14934271 -0.01099663  0.43636303  0.23667654 
## 
## $residuals
##           1           2           3           4           5           6 
##  1.01933885 -1.00000000  1.62309508 -1.00000000  0.80360557 -1.00000000 
##           7           8           9          10          11          12 
## -1.00000000 -1.00000000 -1.00000000 -1.00000000 -1.00000000 -1.00000000 
##          13          14          15          16          17          18 
##  1.81836847 -1.00000000  3.98221308  0.97841284 -0.59896596 -0.77263788 
##          19          20          21          22          23          24 
## -1.00000000  0.44365049  1.16251266  0.01519973 -0.39979478 -0.18771119 
##          25          26          27          28          29          30 
##  0.40912770 -1.00000000 -0.28665934  0.57898241 -1.00000000 -1.00000000 
##          31          32          33          34          35          36 
## -0.28780692 -1.00000000 -1.00000000  1.97743208  0.60274033 -1.00000000 
##          37          38          39          40          41          42 
## -1.00000000  0.70670098 -1.00000000  0.60773309  0.08122171  0.43567340 
##          43          44          45          46          47          48 
##  0.35663481 -0.02089470  1.79368410  0.16963752  0.53729189  0.65277209 
##          49          50          51          52          53          54 
## -0.26503150 -0.43827593  1.76785726  0.38039840  0.41879801  1.26160249 
##          55          56          57          58          59          60 
##  0.86089505  2.78626035 -0.10754761  0.31289831 -1.00000000 -1.00000000 
##          61          62          63          64          65          66 
## -1.00000000  1.82058802  0.16504880  0.77936181 -0.73601647  0.56656848 
##          67          68          69          70          71          72 
##  1.27362121 -1.00000000 -1.00000000  0.03620044  2.35060401 -0.29423888 
##          73          74          75          76          77          78 
## -1.00000000  1.33539713 -1.00000000 -1.00000000  0.35270418  0.55693142 
##          79          80          81          82          83          84 
## -1.00000000  1.03534067 -1.00000000 -1.00000000 -1.00000000  0.83074324 
##          85          86          87          88          89          90 
## -1.00000000  0.17793111 -1.00000000 -1.00000000 -1.00000000 -1.00000000 
##          91          92          93          94          95          96 
##  0.02396949 -1.00000000 -1.00000000 -1.00000000 -1.00000000 -0.77263788 
##          97          98          99         100         101         102 
## -1.00000000 -0.58154167 -0.43588240 -0.68959066 -0.74378468 -0.55477214 
##         103         104         105         106         107         108 
## -0.71554984  0.72850478 -0.59896596 -0.62866555 -0.65971983 -0.77263788 
##         109         110         111         112         113         114 
## -0.20982123  0.32106715 -0.18403820  0.83902145 -1.00000000 -0.17361396 
##         115         116         117         118         119         120 
## -0.70511150 -1.00000000  2.34198761 -1.00000000  1.06596511  1.33009759 
##         121         122         123         124         125         126 
##  2.75769913 -0.68868868 -1.00000000 -0.06874215 -0.13380970 -1.00000000 
##         127         128         129         130         131         132 
## -0.05476039  2.07555043 -0.30919971  1.51646040  1.18781627 -1.00000000 
##         133         134         135         136         137         138 
##  0.05593411  3.69709233  0.87568861 -1.00000000  0.24337848  0.88460840 
##         139         140         141         142         143         144 
##  1.47915813  0.70670098 -0.18725945 -0.45480572 -0.13577528 -1.00000000 
##         145         146         147         148         149         150 
## -1.00000000  3.23453822 -0.39234151 -0.15598776  5.07853624  0.76238954 
##         151         152         153         154         155         156 
##  0.12093468 -1.00000000 -1.00000000 -1.00000000 -1.00000000  0.72850478 
##         157         158         159         160         161         162 
## -1.00000000 -0.02607041 -1.00000000  0.02253562  0.32106715  0.06761709 
##         163         164         165         166         167         168 
##  1.04972252 -1.00000000  1.31186752 -1.00000000 -1.00000000 -0.12473446 
##         169         170         171         172         173 
##  0.33265263  0.15229962 -1.00000000 -1.00000000 -1.00000000 
## 
## $fitted.values
##        1        2        3        4        5        6        7        8 
## 3.961693 1.314961 3.431061 1.853907 2.217780 2.023096 3.697071 1.826426 
##        9       10       11       12       13       14       15       16 
## 1.993107 2.089176 1.720516 2.727307 3.902967 1.039559 2.809996 4.043645 
##       17       18       19       20       21       22       23       24 
## 2.493554 4.398270 1.806452 3.463442 1.849700 2.955084 1.666097 2.462178 
##       25       26       27       28       29       30       31       32 
## 2.128977 2.260031 4.205564 3.166596 2.744295 2.384301 5.616454 3.330096 
##       33       34       35       36       37       38       39       40 
## 2.686879 2.686879 3.119657 1.555850 3.166596 3.515554 1.487682 3.731963 
##       41       42       43       44       45       46       47       48 
## 2.774639 3.482686 4.422708 5.106703 3.221553 3.419863 3.902967 2.420176 
##       49       50       51       52       53       54       55       56 
## 4.081808 5.340700 1.806452 3.622143 4.228932 1.768657 2.686879 3.961693 
##       57       58       59       60       61       62       63       64 
## 3.361524 2.285021 3.676643 2.035698 2.613744 1.772680 2.574999 2.809996 
##       65       66       67       68       69       70       71       72 
## 3.788115 5.106703 4.398270 2.895193 3.027855 2.895193 2.089176 1.416910 
##       73       74       75       76       77       78       79       80 
## 1.416910 2.569156 1.695012 1.768657 2.217780 2.569156 2.120610 2.456591 
##       81       82       83       84       85       86       87       88 
## 1.772680 2.744295 1.438229 2.184905 2.727307 2.546838 4.081808 2.035698 
##       89       90       91       92       93       94       95       96 
## 1.510066 2.084435 4.882958 3.166596 2.435251 4.205564 1.438229 4.398270 
##       97       98       99      100      101      102      103      104 
## 2.058207 2.389724 1.772680 3.221553 3.902967 2.246041 3.515554 2.314139 
##      105      106      107      108      109      110      111      112 
## 2.493554 2.692990 2.938755 4.398270 2.531073 3.027855 3.676643 3.262605 
##      113      114      115      116      117      118      119      120 
## 2.120610 2.420176 6.782225 1.555850 3.590678 1.220348 2.420176 2.574999 
##      121      122      123      124      125      126      127      128 
## 1.596722 6.424437 2.285021 2.147633 3.463442 2.569156 3.173798 1.300580 
##      129      130      131      132      133      134      135      136 
## 2.895193 2.384301 2.742461 2.456591 3.788115 2.128977 3.731963 2.384301 
##      137      138      139      140      141      142      143      144 
## 4.021302 2.653071 2.420176 3.515554 8.612835 5.502626 3.471319 2.179947 
##      145      146      147      148      149      150      151      152 
## 2.727307 1.889226 6.582645 4.739268 1.645133 5.106703 3.568451 2.895193 
##      153      154      155      156      157      158      159      160 
## 1.822281 1.768657 1.753293 2.314139 3.961693 2.053537 1.596722 3.911844 
##      161      162      163      164      165      166      167      168 
## 3.027855 2.809996 3.902967 2.097418 3.027855 2.727307 1.669886 2.285021 
##      169      170      171      172      173 
## 2.251149 3.471319 4.625364 2.546838 2.246041 
## 
## $effects
##  (Intercept)        width  colordarker   colorlight  colormedium 
## -25.70790076   8.14203844  -1.29311302   1.68316045   2.00321341 
##                                                                  
##  -1.42515897  -2.52603320  -1.53103412  -1.41184465  -1.66245247 
##                                                                  
##  -1.47590127  -1.71816137   3.42147244  -0.62857318   6.60125136 
##                                                                  
##   1.31339601  -0.99140815  -1.83401361  -0.92413274   0.69327497 
##                                                                  
##   1.59405598  -0.46366959  -0.48635289  -0.56333778   1.02197883 
##                                                                  
##  -1.07698176  -0.78494791   0.92423313  -1.22814126  -1.57979109 
##                                                                  
##  -1.55309111  -2.37284941  -1.70223047   3.17828756   0.96271307 
##                                                                  
##  -0.83367783  -1.88555547   1.18808388  -0.80818051   1.01807186 
##                                                                  
##  -0.17564683   0.24188782   0.04172388  -0.32082632   2.84989943 
##                                                                  
##  -0.08123305   0.89058665   0.97658332  -0.72185421  -1.30597921 
##                                                                  
##   2.79597946   0.57763122   0.18048589   1.69818881   1.34809330 
##                                                                  
##   5.36978512  -0.32054924   0.22856225  -2.06857800  -1.00294740 
##                                                                  
##  -1.90607439   2.25216444  -0.01928074   1.23229793  -1.59338721 
##                                                                  
##   1.00672389   2.45741179  -1.78332938  -1.83375763  -0.02020678 
##                                                                  
##   3.18050404  -0.46954245  -1.30963833   2.08802721  -1.46242048 
##                                                                  
##  -1.30953618   0.29017571   0.84025664  -1.67771020   1.58051141 
##                                                                  
##  -1.50322366  -1.22814126  -1.32175803   0.99746640  -1.71816137 
##                                                                  
##   0.71203090  -2.20674663  -1.00294740  -0.81659858  -1.45214949 
##                                                                  
##  -0.20184587  -1.88555547  -1.13294103  -2.24782931  -1.32175803 
##                                                                  
##  -1.83401361  -1.64732891  -1.15785984  -0.75214604  -1.60725193 
##                                                                  
##  -1.64029914  -0.85453259  -1.47860958   1.07892359  -0.99140815 
##                                                                  
##  -1.33168671  -1.21665343  -1.83401361  -0.38279130   0.46499607 
##                                                                  
##  -0.50400605   1.40089981  -1.67771020  -0.30901851  -2.24667266 
##                                                                  
##  -0.83367783   4.86240268  -1.19418600   1.61938423   1.85025032 
##                                                                  
##   3.33860720  -2.72096923  -1.75605229  -0.11488943  -0.38139725 
##                                                                  
##  -1.65528450  -0.46091253   2.77150824  -0.60791431   2.30592146 
##                                                                  
##   1.51112646  -1.60958312  -0.05200739   5.81944347   1.53571606 
##                                                                  
##  -1.57979109   0.30689210   1.14620773   2.26218514   1.18808388 
##                                                                  
##  -1.10221716  -1.37341718  -0.65445028  -1.49355590  -1.71816137 
##                                                                  
##   4.86733504  -1.40104843  -0.58225401   6.36068214   1.44924063 
##                                                                  
##   0.08682711  -1.78332938  -1.33442646  -1.30953618  -0.90534661 
##                                                                  
##   1.07892359  -2.16638800  -0.04293633  -1.40967609  -0.41201951 
##                                                                  
##   0.46499607   0.03919717   1.90294096  -1.02360244   2.18906134 
##                                                                  
##  -1.71816137  -1.44905859  -0.43297593   0.25938327  -0.11772418 
##                                        
##  -2.88739381  -1.16780427  -1.52178656 
## 
## $R
##             (Intercept)      width colordarker colorlight colormedium
## (Intercept)   -22.47221 -608.26706   -2.002481 -2.1804710  -13.928315
## width           0.00000   49.82327   -1.163887  0.2972126    2.361050
## colordarker     0.00000    0.00000    6.295681 -0.6386012   -3.993720
## colorlight      0.00000    0.00000    0.000000  6.6143329   -5.083266
## colormedium     0.00000    0.00000    0.000000  0.0000000    8.463929
## 
## $rank
## [1] 5
## 
## $qr
## $qr
##      (Intercept)         width  colordarker  colorlight   colormedium
## 1   -22.47220882 -6.082671e+02 -2.002480816 -2.18047102 -1.392831e+01
## 2     0.05102825  4.982327e+01 -1.163887048  0.29721258  2.361050e+00
## 3     0.08242681  4.341624e-02  6.295681422 -0.63860117 -3.993720e+00
## 4     0.06058962  6.470795e-02  0.027634715  6.61433288 -5.083266e+00
## 5     0.06626946  3.490577e-02  0.024720501  0.02665536  8.463929e+00
## 6     0.06329400  9.614418e-02  0.033249513  0.02534417 -6.690187e-02
## 7     0.08556244  2.577188e-02  0.028955956 -0.25624790  2.182863e-02
## 8     0.06013887  6.693906e-02  0.027845425  0.02412525  1.029703e-01
## 9     0.06282313  9.826249e-02  0.033437034  0.02515047 -6.720100e-02
## 10    0.06431936  4.548280e-02  0.025773981  0.02584984  1.174704e-01
## 11    0.05836917  7.549995e-02  0.028642195  0.02339615  9.697883e-02
## 12    0.07348881  4.533764e-02  0.028430945  0.02954710 -5.903552e-02
## 13    0.08791272 -4.092862e-02  0.019405985  0.03551971 -4.386110e-02
## 14    0.04537113  1.262187e-01 -0.129322405 -0.03755701 -2.522201e-02
## 15    0.07459455  3.929080e-02  0.027826009  0.03000393 -5.803151e-02
## 16    0.08948305  2.736617e-03  0.026566244 -0.26794550  2.963874e-02
## 17    0.07026898  6.236762e-02  0.030103770  0.02821790 -6.179659e-02
## 18    0.09332439 -7.712240e-02  0.015432481  0.03776754 -3.709144e-02
## 19    0.05980923  6.657215e-02 -0.185794102 -0.04932672 -5.179802e-03
## 20    0.08281485 -8.673118e-03  0.022866766  0.03340558 -4.972092e-02
## 21    0.06052084  1.083101e-01  0.034306346  0.02420392 -6.857643e-02
## 22    0.07649607  7.479505e-02  0.033830548 -0.22918960  4.961754e-03
## 23    0.05743867  1.209290e-01  0.035342430  0.02293825 -7.018378e-02
## 24    0.06982549  1.473303e-02  0.022663581  0.02812583  1.372688e-01
## 25    0.06492927  4.005697e-02 -0.206643210 -0.05349073  3.435794e-03
## 26    0.06689786  2.920206e-02 -0.214760766 -0.05509054  6.934030e-03
## 27    0.09125704 -6.306582e-02  0.016985716  0.03690841 -3.974223e-02
## 28    0.07918640  1.313655e-02  0.025153749  0.03190293 -5.356873e-02
## 29    0.07371747 -1.104530e-02 -0.243287334 -0.06062778  1.979608e-02
## 30    0.06871235  7.028361e-02  0.030863824  0.02757587 -6.304224e-02
## 31    0.10545941 -1.014205e-01  0.015249139 -0.31559411  6.435814e-02
## 32    0.08120497  5.009798e-02  0.031416129 -0.24324456  1.350706e-02
## 33    0.07294211  4.829033e-02  0.028724358  0.02932130 -5.952152e-02
## 34    0.07294211  4.829033e-02  0.028724358  0.02932130 -5.952152e-02
## 35    0.07859731  1.658387e-02  0.025510689  0.03165914 -5.416713e-02
## 36    0.05550586  8.681745e-02 -0.168583696 -0.04582318 -1.184734e-02
## 37    0.07918640  1.313655e-02  0.025153749  0.03190293 -5.356873e-02
## 38    0.08343555 -1.250139e-02  0.022460596  0.03366282 -4.903530e-02
## 39    0.05427628  9.223845e-02 -0.163722035 -0.04482146 -1.365017e-02
## 40    0.08596524 -2.838987e-02  0.020761304  0.03471168 -4.616056e-02
## 41    0.07412377 -1.110618e-02  0.019953892  0.02990589  1.532400e-01
## 42    0.08304460  3.999602e-02  0.030403280 -0.24873461  1.697301e-02
## 43    0.09358331 -2.246379e-02  0.023896735 -0.28017708  3.811876e-02
## 44    0.10055983 -1.284580e-01  0.009668002  0.04077825 -2.721237e-02
## 45    0.07987058 -4.799194e-02  0.015972110  0.03229010  1.752513e-01
## 46    0.08229218 -6.429379e-02  0.014177796  0.03329614  1.847399e-01
## 47    0.08791272 -4.092862e-02  0.019405985  0.03551971 -4.386110e-02
## 48    0.06922736  6.768797e-02  0.030615945  0.02778824 -6.263669e-02
## 49    0.08990431 -5.402092e-02  0.017978603  0.03634654 -4.143376e-02
## 50    0.10283793 -1.452833e-01  0.007751426  0.04172739 -2.391573e-02
## 51    0.05980923  6.657215e-02 -0.185794102 -0.04932672 -5.179802e-03
## 52    0.08469095 -2.032926e-02  0.021626049  0.03418323 -4.762471e-02
## 53    0.09151022 -9.583775e-03  0.025267723 -0.27399304  3.379226e-02
## 54    0.05918016  1.139185e-01  0.034775351  0.02365316 -6.930918e-02
## 55    0.07294211  4.829033e-02  0.028724358  0.02932130 -5.952152e-02
## 56    0.08857163 -4.523031e-02  0.018938323  0.03579321 -4.306642e-02
## 57    0.08158726 -1.184755e-03  0.023657332  0.03289700 -5.105356e-02
## 58    0.06726658  2.936301e-02  0.024161188  0.02706747  1.279723e-01
## 59    0.08532572 -2.433015e-02  0.021197496  0.03444644 -4.689941e-02
## 60    0.06349093  4.776067e-02 -0.200747084 -0.05232143  9.437720e-04
## 61    0.07194254  2.200184e-03  0.021358716  0.02900222  1.450807e-01
## 62    0.05924742  7.129138e-02  0.028252909  0.02375791  9.994096e-02
## 63    0.07140733  5.404561e-03  0.021694117  0.02878060  1.430956e-01
## 64    0.07459455  3.929080e-02  0.027826009  0.03000393 -5.803151e-02
## 65    0.08660956 -3.250908e-02  0.020317383  0.03497897 -4.540800e-02
## 66    0.10055983 -1.284580e-01  0.009668002  0.04077825 -2.721237e-02
## 67    0.09332439 -7.712240e-02  0.015432481  0.03776754 -3.709144e-02
## 68    0.07571693  3.305174e-02  0.027196432  0.03046782 -5.698393e-02
## 69    0.07743223  2.332302e-02  0.026204540  0.03117712 -5.532846e-02
## 70    0.07571693  3.305174e-02  0.027196432  0.03046782 -5.698393e-02
## 71    0.06431936  4.548280e-02  0.025773981  0.02584984  1.174704e-01
## 72    0.05296944  9.957408e-02  0.030759155  0.02117521  7.927324e-02
## 73    0.05296944  9.957408e-02  0.030759155  0.02117521  7.927324e-02
## 74    0.07132627  5.687185e-02  0.029569252  0.02865419 -6.091703e-02
## 75    0.05793495  7.755137e-02  0.028830154  0.02321734  9.552254e-02
## 76    0.05918016  1.139185e-01  0.034775351  0.02365316 -6.930918e-02
## 77    0.06626946  3.490577e-02  0.024720501  0.02665536  1.243942e-01
## 78    0.07132627  5.687185e-02  0.029569252  0.02865419 -6.091703e-02
## 79    0.06480144  4.290091e-02  0.025518590  0.02604891  1.191728e-01
## 80    0.06974622  6.504947e-02  0.030362616  0.02800225 -6.222151e-02
## 81    0.05924742  7.129138e-02  0.028252909  0.02375791  9.994096e-02
## 82    0.07371747 -1.104530e-02 -0.243287334 -0.06062778  1.979608e-02
## 83    0.05336645  9.791336e-02  0.030620284  0.02133830  8.054429e-02
## 84    0.06577646  3.761287e-02  0.024991915  0.02645166  1.226345e-01
## 85    0.07348881  4.533764e-02  0.028430945  0.02954710 -5.903552e-02
## 86    0.07101592  5.374937e-03 -0.231913577 -0.05843511  1.456686e-02
## 87    0.08990431 -5.402092e-02  0.017978603  0.03634654 -4.143376e-02
## 88    0.06349093  4.776067e-02 -0.200747084 -0.05232143  9.437720e-04
## 89    0.05468308  9.046337e-02 -0.165327673 -0.04515291 -1.305889e-02
## 90    0.06424634  9.179528e-02  0.032860344  0.02573606 -6.627873e-02
## 91    0.09833219 -1.123069e-01  0.011495860  0.03985068 -3.035122e-02
## 92    0.07918640  1.313655e-02  0.025153749  0.03190293 -5.356873e-02
## 93    0.06944275  1.465227e-02 -0.225334053 -0.05715774  1.160179e-02
## 94    0.09125704 -6.306582e-02  0.016985716  0.03690841 -3.974223e-02
## 95    0.05336645  9.791336e-02  0.030620284  0.02133830  8.054429e-02
## 96    0.09332439 -7.712240e-02  0.015432481  0.03776754 -3.709144e-02
## 97    0.06384087  4.802391e-02  0.026024160  0.02565229  1.157868e-01
## 98    0.06879045  2.072007e-02  0.023279995  0.02769762  1.334890e-01
## 99    0.05924742  7.129138e-02  0.028252909  0.02375791  9.994096e-02
## 100   0.07987058 -4.799194e-02  0.015972110  0.03229010  1.752513e-01
## 101   0.08791272 -4.092862e-02  0.019405985  0.03551971 -4.386110e-02
## 102   0.06669036  8.024734e-02  0.031802176  0.02674249 -6.457064e-02
## 103   0.08343555 -1.250139e-02  0.022460596  0.03366282 -4.903530e-02
## 104   0.06769381  7.534827e-02  0.031343501  0.02715599 -6.382497e-02
## 105   0.07026898  6.236762e-02  0.030103770  0.02821790 -6.179659e-02
## 106   0.07302501 -4.354129e-03  0.020669098  0.02945059  1.491161e-01
## 107   0.07628443  2.985874e-02  0.026872215  0.03070244 -5.644345e-02
## 108   0.09332439 -7.712240e-02  0.015432481  0.03776754 -3.709144e-02
## 109   0.07079565  5.964192e-02  0.029839338  0.02843521 -6.136181e-02
## 110   0.07743223  2.332302e-02  0.026204540  0.03117712 -5.532846e-02
## 111   0.08532572 -2.433015e-02  0.021197496  0.03444644 -4.689941e-02
## 112   0.08037787  6.083508e-03  0.024419437  0.03239615 -5.233576e-02
## 113   0.06480144  4.290091e-02  0.025518590  0.02604891  1.191728e-01
## 114   0.06922736  6.768797e-02  0.030615945  0.02778824 -6.263669e-02
## 115   0.11588849 -2.473526e-01 -0.004100151  0.04717506 -3.432310e-03
## 116   0.05550586  8.681745e-02 -0.168583696 -0.04582318 -1.184734e-02
## 117   0.08432246 -8.109308e-02 -0.288793183 -0.06922503  4.189540e-02
## 118   0.04915821  1.145818e-01  0.031948818  0.01961124  6.733430e-02
## 119   0.06922736  6.768797e-02  0.030615945  0.02778824 -6.263669e-02
## 120   0.07140733  5.404561e-03  0.021694117  0.02878060  1.430956e-01
## 121   0.05623010  8.541405e-02  0.029538717  0.02251565  8.985877e-02
## 122   0.11279031 -1.542562e-01  0.009282346 -0.33744890  8.170737e-02
## 123   0.06726658  2.936301e-02  0.024161188  0.02706747  1.279723e-01
## 124   0.06521301  8.729375e-02  0.032451936  0.02613401 -6.562169e-02
## 125   0.08281485 -8.673118e-03  0.022866766  0.03340558 -4.972092e-02
## 126   0.07132627  5.687185e-02  0.029569252  0.02865419 -6.091703e-02
## 127   0.07927640 -4.405924e-02  0.016402056  0.03204337  1.729421e-01
## 128   0.05074855  1.068439e-01 -0.149919169 -0.04194577 -1.855611e-02
## 129   0.07571693  3.305174e-02  0.027196432  0.03046782 -5.698393e-02
## 130   0.06871235  7.028361e-02  0.030863824  0.02757587 -6.304224e-02
## 131   0.07369270  8.867313e-02  0.035141331 -0.22082069  1.064172e-04
## 132   0.06974622  6.504947e-02  0.030362616  0.02800225 -6.222151e-02
## 133   0.08660956 -3.250908e-02  0.020317383  0.03497897 -4.540800e-02
## 134   0.06492927  4.005697e-02 -0.206643210 -0.05349073  3.435794e-03
## 135   0.08596524 -2.838987e-02  0.020761304  0.03471168 -4.616056e-02
## 136   0.06871235  7.028361e-02  0.030863824  0.02757587 -6.304224e-02
## 137   0.08923548 -4.959418e-02  0.018462561  0.03606881 -4.225737e-02
## 138   0.07248175 -1.052531e-03  0.021017067  0.02922555  1.470874e-01
## 139   0.06922736  6.768797e-02  0.030615945  0.02778824 -6.263669e-02
## 140   0.08343555 -1.250139e-02  0.022460596  0.03366282 -4.903530e-02
## 141   0.13059522 -3.729883e-01 -0.019084590  0.05333340  2.263513e-02
## 142   0.10438527 -1.568857e-01  0.006422904  0.04237238 -2.162758e-02
## 143   0.08290897 -6.851519e-02  0.013710147  0.03355251  1.871761e-01
## 144   0.06570179  8.498462e-02  0.032240365  0.02633528 -6.528019e-02
## 145   0.07348881  4.533764e-02  0.028430945  0.02954710 -5.903552e-02
## 146   0.06116416  5.980407e-02 -0.191273292 -0.05042911 -2.969772e-03
## 147   0.11417064 -2.333870e-01 -0.002458748  0.04645702 -6.277658e-03
## 148   0.09687459 -1.019033e-01  0.012666625  0.03924405 -3.235878e-02
## 149   0.05707616  8.155051e-02  0.029192981  0.02286380  9.265870e-02
## 150   0.10055983 -1.284580e-01  0.009668002  0.04077825 -2.721237e-02
## 151   0.08406091 -1.638656e-02  0.022047053  0.03392203 -4.833662e-02
## 152   0.07571693  3.305174e-02  0.027196432  0.03046782 -5.698393e-02
## 153   0.06007060  1.102137e-01  0.034466951  0.02401892 -6.882818e-02
## 154   0.05918016  1.139185e-01  0.034775351  0.02365316 -6.930918e-02
## 155   0.05892266  7.090060e-02 -0.182224270 -0.04860522 -6.597742e-03
## 156   0.06769381  7.534827e-02  0.031343501  0.02715599 -6.382497e-02
## 157   0.08857163 -4.523031e-02  0.018938323  0.03579321 -4.306642e-02
## 158   0.06376839  9.398859e-02  0.033057303  0.02553937 -6.659449e-02
## 159   0.05623010  8.541405e-02  0.029538717  0.02251565  8.985877e-02
## 160   0.08801263 -1.044905e-01  0.009680175  0.03567575  2.076288e-01
## 161   0.07743223  2.332302e-02  0.026204540  0.03117712 -5.532846e-02
## 162   0.07459455  3.929080e-02  0.027826009  0.03000393 -5.803151e-02
## 163   0.08791272 -4.092862e-02  0.019405985  0.03551971 -4.386110e-02
## 164   0.06444624  4.266575e-02 -0.204659814 -0.05309809  2.592813e-03
## 165   0.07743223  2.332302e-02  0.026204540  0.03117712 -5.532846e-02
## 166   0.07348881  4.533764e-02  0.028430945  0.02954710 -5.903552e-02
## 167   0.05750395  7.956809e-02  0.029013731  0.02303989  9.408255e-02
## 168   0.06726658  2.936301e-02  0.024161188  0.02706747  1.279723e-01
## 169   0.06676616  3.215598e-02  0.024443614  0.02686063  1.261734e-01
## 170   0.08290897 -6.851519e-02  0.013710147  0.03355251  1.871761e-01
## 171   0.09570336 -3.592246e-02  0.022450661 -0.28650068  4.262395e-02
## 172   0.07101592  5.374937e-03 -0.231913577 -0.05843511  1.456686e-02
## 173   0.06669036  8.024734e-02  0.031802176  0.02674249 -6.457064e-02
## 
## $rank
## [1] 5
## 
## $qraux
## [1] 1.088572 1.107433 1.030748 1.024311 1.124394
## 
## $pivot
## [1] 1 2 3 4 5
## 
## $tol
## [1] 1e-11
## 
## attr(,"class")
## [1] "qr"
## 
## $family
## 
## Family: poisson 
## Link function: log 
## 
## 
## $linear.predictors
##         1         2         3         4         5         6         7 
## 1.3766714 0.2738071 1.2328696 0.6172953 0.7965066 0.7046292 1.3075410 
##         8         9        10        11        12        13        14 
## 0.6023611 0.6896949 0.7367695 0.5426240 1.0033146 1.3617371 0.0387964 
##        15        16        17        18        19        20        21 
## 1.0331831 1.3971466 0.9137090 1.4812113 0.5913644 1.2422629 0.6150235 
##        22        23        24        25        26        27        28 
## 1.0835269 0.5104836 0.9010465 0.7556414 0.8153785 1.4364085 1.1526573 
##        29        30        31        32        33        34        35 
## 1.0095240 0.8689062 1.7257006 1.2030011 0.9883803 0.9883803 1.1377230 
##        36        37        38        39        40        41        42 
## 0.4420217 1.1526573 1.2571972 0.3972189 1.3169343 1.0205207 1.2478039 
##        43        44        45        46        47        48        49 
## 1.4867522 1.6305540 1.1698634 1.2296005 1.3617371 0.8838404 1.4065399 
##        50        51        52        53        54        55        56 
## 1.6753568 0.5913644 1.2870658 1.4419494 0.5702207 0.9883803 1.3766714 
##        57        58        59        60        61        62        63 
## 1.2123944 0.8263751 1.3020000 0.7108386 0.9607836 0.5724925 0.9458493 
##        64        65        66        67        68        69        70 
## 1.0331831 1.3318686 1.6305540 1.4812113 1.0630517 1.1078545 1.0630517 
##        71        72        73        74        75        76        77 
## 0.7367695 0.3484785 0.3484785 0.9435775 0.5276897 0.5702207 0.7965066 
##        78        79        80        81        82        83        84 
## 0.9435775 0.7517038 0.8987747 0.5724925 1.0095240 0.3634127 0.7815723 
##        85        86        87        88        89        90        91 
## 1.0033146 0.9348527 1.4065399 0.7108386 0.4121532 0.7344977 1.5857512 
##        92        93        94        95        96        97        98 
## 1.1526573 0.8900499 1.4364085 0.3634127 1.4812113 0.7218352 0.8711780 
##        99       100       101       102       103       104       105 
## 0.5724925 1.1698634 1.3617371 0.8091691 1.2571972 0.8390376 0.9137090 
##       106       107       108       109       110       111       112 
## 0.9906521 1.0779860 1.4812113 0.9286432 1.1078545 1.3020000 1.1825259 
##       113       114       115       116       117       118       119 
## 0.7517038 0.8838404 1.9143052 0.4420217 1.2783409 0.1991357 0.8838404 
##       120       121       122       123       124       125       126 
## 0.9458493 0.4679526 1.8601090 0.8263751 0.7643663 1.2422629 0.9435775 
##       127       128       129       130       131       132       133 
## 1.1549291 0.2628105 1.0630517 0.8689062 1.0088556 0.8987747 1.3318686 
##       134       135       136       137       138       139       140 
## 0.7556414 1.3169343 0.8689062 1.3916057 0.9757179 0.8838404 1.2571972 
##       141       142       143       144       145       146       147 
## 2.1532535 1.7052254 1.2445347 0.7793005 1.0033146 0.6361673 1.8844366 
##       148       149       150       151       152       153       154 
## 1.5558826 0.4978212 1.6305540 1.2721315 1.0630517 0.6000893 0.5702207 
##       155       156       157       158       159       160       161 
## 0.5614959 0.8390376 1.3766714 0.7195634 0.4679526 1.3640089 1.1078545 
##       162       163       164       165       166       167       168 
## 1.0331831 1.3617371 0.7407072 1.1078545 1.0033146 0.5127554 0.8263751 
##       169       170       171       172       173 
## 0.8114409 1.2445347 1.5315551 0.9348527 0.8091691 
## 
## $deviance
## [1] 559.3448
## 
## $aic
## [1] 924.6425
## 
## $null.deviance
## [1] 632.7917
## 
## $iter
## [1] 6
## 
## $weights
##        1        2        3        4        5        6        7        8 
## 3.961693 1.314961 3.431061 1.853907 2.217780 2.023096 3.697071 1.826426 
##        9       10       11       12       13       14       15       16 
## 1.993107 2.089176 1.720516 2.727307 3.902967 1.039563 2.809996 4.043645 
##       17       18       19       20       21       22       23       24 
## 2.493554 4.398270 1.806458 3.463442 1.849700 2.955084 1.666097 2.462178 
##       25       26       27       28       29       30       31       32 
## 2.128985 2.260039 4.205564 3.166596 2.744305 2.384301 5.616454 3.330096 
##       33       34       35       36       37       38       39       40 
## 2.686879 2.686879 3.119657 1.555855 3.166596 3.515554 1.487687 3.731963 
##       41       42       43       44       45       46       47       48 
## 2.774639 3.482686 4.422708 5.106703 3.221552 3.419863 3.902967 2.420176 
##       49       50       51       52       53       54       55       56 
## 4.081808 5.340700 1.806458 3.622143 4.228932 1.768657 2.686879 3.961693 
##       57       58       59       60       61       62       63       64 
## 3.361524 2.285021 3.676643 2.035705 2.613744 1.772680 2.574999 2.809996 
##       65       66       67       68       69       70       71       72 
## 3.788115 5.106703 4.398270 2.895193 3.027855 2.895193 2.089176 1.416910 
##       73       74       75       76       77       78       79       80 
## 1.416910 2.569156 1.695012 1.768657 2.217780 2.569156 2.120610 2.456591 
##       81       82       83       84       85       86       87       88 
## 1.772680 2.744305 1.438229 2.184905 2.727307 2.546848 4.081808 2.035705 
##       89       90       91       92       93       94       95       96 
## 1.510071 2.084435 4.882958 3.166596 2.435260 4.205564 1.438229 4.398270 
##       97       98       99      100      101      102      103      104 
## 2.058207 2.389724 1.772680 3.221552 3.902967 2.246041 3.515554 2.314139 
##      105      106      107      108      109      110      111      112 
## 2.493554 2.692990 2.938755 4.398270 2.531073 3.027855 3.676643 3.262605 
##      113      114      115      116      117      118      119      120 
## 2.120610 2.420176 6.782224 1.555855 3.590691 1.220348 2.420176 2.574999 
##      121      122      123      124      125      126      127      128 
## 1.596722 6.424437 2.285021 2.147633 3.463442 2.569156 3.173798 1.300585 
##      129      130      131      132      133      134      135      136 
## 2.895193 2.384301 2.742461 2.456591 3.788115 2.128985 3.731963 2.384301 
##      137      138      139      140      141      142      143      144 
## 4.021302 2.653071 2.420176 3.515554 8.612834 5.502625 3.471319 2.179947 
##      145      146      147      148      149      150      151      152 
## 2.727307 1.889233 6.582645 4.739268 1.645133 5.106703 3.568451 2.895193 
##      153      154      155      156      157      158      159      160 
## 1.822282 1.768657 1.753300 2.314139 3.961693 2.053537 1.596722 3.911844 
##      161      162      163      164      165      166      167      168 
## 3.027855 2.809996 3.902967 2.097426 3.027855 2.727307 1.669886 2.285021 
##      169      170      171      172      173 
## 2.251149 3.471319 4.625364 2.546848 2.246041 
## 
## $prior.weights
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 163 164 165 166 167 168 169 170 171 172 173 
##   1   1   1   1   1   1   1   1   1   1   1 
## 
## $df.residual
## [1] 168
## 
## $df.null
## [1] 172
## 
## $y
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   8   0   9   0   4   0   0   0   0   0   0   0  11   0  14   8   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   0   5   4   3   1   2   3   0   3   5   0   0   4   0   0   8   5   0 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   0   6   0   6   3   5   6   5   9   4   6   4   3   3   5   5   6   4 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   5  15   3   3   0   0   0   5   3   5   1   8  10   0   0   3   7   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   0   6   0   0   3   4   0   5   0   0   0   4   0   3   0   0   0   0 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   5   0   0   0   0   1   0   1   1   1   1   1   1   4   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   2   4   3   6   0   2   2   0  12   0   5   6   6   2   0   2   3   0 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   3   4   2   6   6   0   4  10   7   0   5   5   6   6   7   3   3   0 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   0   8   4   4  10   9   4   0   0   0   0   4   0   2   0   4   4   3 
## 163 164 165 166 167 168 169 170 171 172 173 
##   8   0   7   0   0   2   3   4   0   0   0 
## 
## $converged
## [1] TRUE
## 
## $boundary
## [1] FALSE
## 
## $model
##     satell width  color
## 1        8  28.3 medium
## 2        0  22.5   dark
## 3        9  26.0  light
## 4        0  24.8   dark
## 5        4  26.0   dark
## 6        0  23.8 medium
## 7        0  26.5  light
## 8        0  24.7   dark
## 9        0  23.7 medium
## 10       0  25.6   dark
## 11       0  24.3   dark
## 12       0  25.8 medium
## 13      11  28.2 medium
## 14       0  21.0 darker
## 15      14  26.0 medium
## 16       8  27.1  light
## 17       1  25.2 medium
## 18       1  29.0 medium
## 19       0  24.7 darker
## 20       5  27.4 medium
## 21       4  23.2 medium
## 22       3  25.0  light
## 23       1  22.5 medium
## 24       2  26.7   dark
## 25       3  25.8 darker
## 26       0  26.2 darker
## 27       3  28.7 medium
## 28       5  26.8 medium
## 29       0  27.5 darker
## 30       0  24.9 medium
## 31       4  29.3  light
## 32       0  25.8  light
## 33       0  25.7 medium
## 34       8  25.7 medium
## 35       5  26.7 medium
## 36       0  23.7 darker
## 37       0  26.8 medium
## 38       6  27.5 medium
## 39       0  23.4 darker
## 40       6  27.9 medium
## 41       3  27.5   dark
## 42       5  26.1  light
## 43       6  27.7  light
## 44       5  30.0 medium
## 45       9  28.5   dark
## 46       4  28.9   dark
## 47       6  28.2 medium
## 48       4  25.0 medium
## 49       3  28.5 medium
## 50       3  30.3 medium
## 51       5  24.7 darker
## 52       5  27.7 medium
## 53       6  27.4  light
## 54       4  22.9 medium
## 55       5  25.7 medium
## 56      15  28.3 medium
## 57       3  27.2 medium
## 58       3  26.2   dark
## 59       0  27.8 medium
## 60       0  25.5 darker
## 61       0  27.1   dark
## 62       5  24.5   dark
## 63       3  27.0   dark
## 64       5  26.0 medium
## 65       1  28.0 medium
## 66       8  30.0 medium
## 67      10  29.0 medium
## 68       0  26.2 medium
## 69       0  26.5 medium
## 70       3  26.2 medium
## 71       7  25.6   dark
## 72       1  23.0   dark
## 73       0  23.0   dark
## 74       6  25.4 medium
## 75       0  24.2   dark
## 76       0  22.9 medium
## 77       3  26.0   dark
## 78       4  25.4 medium
## 79       0  25.7   dark
## 80       5  25.1 medium
## 81       0  24.5   dark
## 82       0  27.5 darker
## 83       0  23.1   dark
## 84       4  25.9   dark
## 85       0  25.8 medium
## 86       3  27.0 darker
## 87       0  28.5 medium
## 88       0  25.5 darker
## 89       0  23.5 darker
## 90       0  24.0 medium
## 91       5  29.7 medium
## 92       0  26.8 medium
## 93       0  26.7 darker
## 94       0  28.7 medium
## 95       0  23.1   dark
## 96       1  29.0 medium
## 97       0  25.5   dark
## 98       1  26.5   dark
## 99       1  24.5   dark
## 100      1  28.5   dark
## 101      1  28.2 medium
## 102      1  24.5 medium
## 103      1  27.5 medium
## 104      4  24.7 medium
## 105      1  25.2 medium
## 106      1  27.3   dark
## 107      1  26.3 medium
## 108      1  29.0 medium
## 109      2  25.3 medium
## 110      4  26.5 medium
## 111      3  27.8 medium
## 112      6  27.0 medium
## 113      0  25.7   dark
## 114      2  25.0 medium
## 115      2  31.9 medium
## 116      0  23.7 darker
## 117     12  29.3 darker
## 118      0  22.0   dark
## 119      5  25.0 medium
## 120      6  27.0   dark
## 121      6  23.8   dark
## 122      2  30.2  light
## 123      0  26.2   dark
## 124      2  24.2 medium
## 125      3  27.4 medium
## 126      0  25.4 medium
## 127      3  28.4   dark
## 128      4  22.5 darker
## 129      2  26.2 medium
## 130      6  24.9 medium
## 131      6  24.5  light
## 132      0  25.1 medium
## 133      4  28.0 medium
## 134     10  25.8 darker
## 135      7  27.9 medium
## 136      0  24.9 medium
## 137      5  28.4 medium
## 138      5  27.2   dark
## 139      6  25.0 medium
## 140      6  27.5 medium
## 141      7  33.5 medium
## 142      3  30.5 medium
## 143      3  29.0   dark
## 144      0  24.3 medium
## 145      0  25.8 medium
## 146      8  25.0 darker
## 147      4  31.7 medium
## 148      4  29.5 medium
## 149     10  24.0   dark
## 150      9  30.0 medium
## 151      4  27.6 medium
## 152      0  26.2 medium
## 153      0  23.1 medium
## 154      0  22.9 medium
## 155      0  24.5 darker
## 156      4  24.7 medium
## 157      0  28.3 medium
## 158      2  23.9 medium
## 159      0  23.8   dark
## 160      4  29.8   dark
## 161      4  26.5 medium
## 162      3  26.0 medium
## 163      8  28.2 medium
## 164      0  25.7 darker
## 165      7  26.5 medium
## 166      0  25.8 medium
## 167      0  24.1   dark
## 168      2  26.2   dark
## 169      3  26.1   dark
## 170      4  29.0   dark
## 171      0  28.0  light
## 172      0  27.0 darker
## 173      0  24.5 medium
## 
## $call
## glm(formula = satell ~ width + color, family = "poisson")
## 
## $formula
## satell ~ width + color
## 
## $terms
## satell ~ width + color
## attr(,"variables")
## list(satell, width, color)
## attr(,"factors")
##        width color
## satell     0     0
## width      1     0
## color      0     1
## attr(,"term.labels")
## [1] "width" "color"
## attr(,"order")
## [1] 1 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: R_GlobalEnv>
## attr(,"predvars")
## list(satell, width, color)
## attr(,"dataClasses")
##    satell     width     color 
## "numeric" "numeric"  "factor" 
## 
## $data
## <environment: R_GlobalEnv>
## 
## $offset
## NULL
## 
## $control
## $control$epsilon
## [1] 1e-08
## 
## $control$maxit
## [1] 25
## 
## $control$trace
## [1] FALSE
## 
## 
## $method
## [1] "glm.fit"
## 
## $contrasts
## $contrasts$color
## [1] "contr.treatment"
## 
## 
## $xlevels
## $xlevels$color
## [1] "dark"   "darker" "light"  "medium"
## 
## 
## $coefficients
##   (Intercept)         width        weight 
## -1.2952111086  0.0460764879  0.0004469701 
## 
## $residuals
##           1           2           3           4           5           6 
##  1.02876931 -1.00000000  2.54811282 -1.00000000  0.37904968 -1.00000000 
##           7           8           9          10          11          12 
## -1.00000000 -1.00000000 -1.00000000 -1.00000000 -1.00000000 -1.00000000 
##          13          14          15          16          17          18 
##  1.80244076 -1.00000000  4.51928661  1.24211171 -0.53226646 -0.74890332 
##          19          20          21          22          23          24 
## -1.00000000  0.54547930  1.09790522  0.23847410 -0.36660559 -0.33235995 
##          25          26          27          28          29          30 
##  0.36493920 -1.00000000 -0.28575376  0.58880154 -1.00000000 -1.00000000 
##          31          32          33          34          35          36 
## -0.09411220 -1.00000000 -1.00000000  2.65664767  0.59613907 -1.00000000 
##          37          38          39          40          41          42 
## -1.00000000  0.50970078 -1.00000000  0.73311505 -0.22808992  0.56915384 
##          43          44          45          46          47          48 
##  1.00015907  0.04849226  1.06804369  0.10338067  0.86916436  0.80571412 
##          49          50          51          52          53          54 
## -0.22915402 -0.45740191  1.28855964  0.39391611  0.85457516  1.48730999 
##          55          56          57          58          59          60 
##  1.28540479  2.88991194 -0.06412769  0.17185537 -1.00000000 -1.00000000 
##          61          62          63          64          65          66 
## -1.00000000  1.36194739  0.05620424  1.10786314 -0.71247536  0.87592023 
##          67          68          69          70          71          72 
##  1.29624197 -1.00000000 -1.00000000  0.12063027  1.24801364 -0.39471068 
##          73          74          75          76          77          78 
## -1.00000000  1.48667170 -1.00000000 -1.00000000  0.23676683  0.65778113 
##          79          80          81          82          83          84 
## -1.00000000  1.24676645 -1.00000000 -1.00000000 -1.00000000  0.41672912 
##          85          86          87          88          89          90 
## -1.00000000  0.15497141 -1.00000000 -1.00000000 -1.00000000 -1.00000000 
##          91          92          93          94          95          96 
## -0.16861093 -1.00000000 -1.00000000 -1.00000000 -1.00000000 -0.72542291 
##          97          98          99         100         101         102 
## -1.00000000 -0.55291472 -0.55824373 -0.74305134 -0.72351785 -0.42236607 
##         103         104         105         106         107         108 
## -0.67098961  0.49726867 -0.53226646 -0.71603100 -0.62817377 -0.75987946 
##         109         110         111         112         113         114 
## -0.02626878  0.54102442 -0.28805574  1.06572293 -1.00000000 -0.09714294 
##         115         116         117         118         119         120 
## -0.62002778 -1.00000000  1.68746459 -1.00000000  0.97389486  1.06572293 
##         121         122         123         124         125         126 
##  2.27331770 -0.57978071 -1.00000000  0.14546043 -0.15200925 -1.00000000 
##         127         128         129         130         131         132 
## -0.29181722  1.67916091 -0.11658488  1.48838745  1.96389715 -1.00000000 
##         133         134         135         136         137         138 
##  0.09982451  3.06876770  0.80819401 -1.00000000  0.23425750  0.78361179 
##         139         140         141         142         143         144 
##  1.53292749  0.90898321 -0.46563994 -0.39206356 -0.22102956 -1.00000000 
##         145         146         147         148         149         150 
## -1.00000000  2.61142823 -0.35858761 -0.02939468  4.16919710  1.15810575 
##         151         152         153         154         155         156 
##  0.14560139 -1.00000000 -1.00000000 -1.00000000 -1.00000000  0.95780628 
##         157         158         159         160         161         162 
## -1.00000000  0.06208676 -1.00000000 -0.22583410  0.50696681  0.19599422 
##         163         164         165         166         167         168 
##  1.03813874 -1.00000000  1.20543918 -1.00000000 -1.00000000 -0.17387202 
##         169         170         171         172         173 
## -0.03722988 -0.11178338 -1.00000000 -1.00000000 -1.00000000 
## 
## $fitted.values
##         1         2         3         4         5         6         7 
##  3.943277  1.543903  2.536560  2.194870  2.900548  2.096033  2.654338 
##         8         9        10        11        12        13        14 
##  1.997949  1.951100  2.328752  2.193357  2.938893  3.925150  1.647551 
##        15        16        17        18        19        20        21 
##  2.536560  3.568065  2.137969  3.982530  2.284649  3.235242  1.906664 
##        22        23        24        25        26        27        28 
##  2.422336  1.578795  2.995626  2.197900  1.637309  4.200232  3.147026 
##        29        30        31        32        33        34        35 
##  3.108109  2.205007  4.415558  2.873942  2.187796  2.187796  3.132559 
##        36        37        38        39        40        41        42 
##  1.865812  3.077475  3.974297  1.881787  3.461974  3.886463  3.186431 
##        43        44        45        46        47        48        49 
##  2.999761  4.768752  4.351939  3.625222  3.209991  2.215190  3.891828 
##        50        51        52        53        54        55        56 
##  5.528954  2.184780  3.587016  3.235242  1.608163  2.187796  3.856128 
##        57        58        59        60        61        62        63 
##  3.205566  2.560043  3.369899  2.424007  2.983913  2.116897  2.840360 
##        64        65        66        67        68        69        70 
##  2.372071  3.477963  4.264574  4.354942  2.677065  1.660098  2.677065 
##        71        72        73        74        75        76        77 
##  3.113860  1.652102  1.766666  2.412864  1.952446  1.608163  2.425680 
##        78        79        80        81        82        83        84 
##  2.412864  1.530078  2.225420  2.314851  3.554113  1.659732  2.823405 
##        85        86        87        88        89        90        91 
##  2.513292  2.597467  3.979784  3.031044  1.890478  1.769105  6.014031 
##        92        93        94        95        96        97        98 
##  2.942950  2.801368  4.295158  1.587181  3.641964  2.424007  2.236710 
##        99       100       101       102       103       104       105 
##  2.263692  3.891828  3.616870  1.731200  3.039418  2.671531  2.137969 
##       106       107       108       109       110       111       112 
##  3.521511  2.689428  4.164575  2.053955  2.595676  4.213813  2.904552 
##       113       114       115       116       117       118       119 
##  2.287803  2.215190  5.263543  1.824576  4.465175  1.410903  2.533063 
##       120       121       122       123       124       125       126 
##  2.904552  1.833003  4.759420  2.475646  1.746023  3.537774  2.467395 
##       127       128       129       130       131       132       133 
##  4.236194  1.493005  2.263941  2.411200  2.024362  1.946153  3.636944 
##       134       135       136       137       138       139       140 
##  2.457747  3.871266  2.305800  4.051019  2.803301  2.368801  3.143034 
##       141       142       143       144       145       146       147 
## 13.099781  4.934726  3.851237  2.051123  2.628177  2.215190  6.236237 
##       148       149       150       151       152       153       154 
##  4.121140  1.934536  4.170324  3.491616  2.560043  1.940792  1.608163 
##       155       156       157       158       159       160       161 
##  1.979622  2.043103  4.216720  1.883085  1.833003  5.166851  2.654338 
##       162       163       164       165       166       167       168 
##  2.508373  3.925150  2.339507  3.173971  2.403429  1.858516  2.420932 
##       169       170       171       172       173 
##  3.116009  4.503406  3.216285  3.071452  2.070113 
## 
## $effects
##  (Intercept)        width       weight                           
## -25.69553277   8.57166143   2.81785468  -1.49304754   0.77413220 
##                                                                  
##  -1.18786383  -1.90974352  -1.57219198  -1.24898421  -1.71957058 
##                                                                  
##  -1.30820822  -1.46786860   3.45343157  -0.57765851   7.02354049 
##                                                                  
##   2.50699446  -0.98929391  -1.97346537  -1.40184086   0.75607580 
##                                                                  
##   1.79146973   0.49251054  -0.31618031  -0.67151562   0.16045725 
##                                                                  
##  -2.25576520  -0.77292173   1.02191944  -2.12522259  -1.52430520 
##                                                                  
##  -0.56121138  -1.50378072  -1.83111576   3.57750524   1.06570640 
##                                                                  
##  -1.30553745  -1.83066908   1.28203771  -1.19177243   1.07162083 
##                                                                  
##  -0.24742709   1.33725312   1.20479635  -0.42359579   2.24411873 
##                                                                  
##  -0.45905583   0.95419136   1.13183812  -0.74075779  -1.34317970 
##                                                                  
##   1.92079485   0.63601576   1.31203970   1.93689226   1.54927237 
##                                                                  
##   5.46112961  -0.27177408   0.04008963  -2.14641971  -1.62930144 
##                                                                  
##  -2.00611905   2.00717994  -0.24947487   1.39554738  -1.65676376 
##                                                                  
##   0.99005390   2.46137982  -1.77555811  -2.34381115   0.05798785 
##                                                                  
##   2.68512633  -0.44034484  -1.13704779   2.26618875  -1.42332237 
##                                                                  
##  -1.21734929   0.10250982   0.97864026  -2.14100978   1.76446119 
##                                                                  
##  -1.30721078  -1.92414391  -1.24528945   0.80679263  -1.69928424 
##                                                                  
##  -0.27798075  -2.22541822  -1.28561008  -1.22027519  -1.46891405 
##                                                                  
##  -0.03931081  -1.89590299  -1.92150468  -2.19802230  -1.29538665 
##                                                                  
##  -2.07754358  -1.62930144  -1.43734047  -0.67438570  -1.75455986 
##                                                                  
##  -1.70326587  -0.89735992  -1.58171831   1.28381746  -0.98929391 
##                                                                  
##  -1.31211154  -1.20059551  -1.91473506  -0.35962646   0.54460715 
##                                                                  
##  -0.30637493   1.52071947  -1.77931043  -0.21193050  -2.75992784 
##                                                                  
##  -1.33264096   3.23283442  -1.08637058   1.77216419   1.52071947 
##                                                                  
##   3.07061923  -1.90915674  -1.87709983  -0.03592708  -0.28950181 
##                                                                  
##  -1.56600733  -0.60964427   2.09812193  -0.65122783   2.46133292 
##                                                                  
##   2.73161519  -1.74215018  -0.02759232   4.64999361   1.58397409 
##                                                                  
##  -1.46520011   0.33866316   0.85576101   2.43190703   1.27453793 
##                                                                  
##  -0.69886863  -1.58339613  -0.99541436  -1.39743569  -1.63780757 
##                                                                  
##   3.81937535  -1.64228162  -0.70572511   5.82503818   1.49240542 
##                                                                  
##   0.14094152  -1.83489465  -1.04619846  -1.21734929  -1.51225620 
##                                                                  
##   1.25260611  -2.02400706   0.09448056  -1.36107411  -0.69924280 
##                                                                  
##   0.54542800   0.11285070   1.93919709  -1.75218645   2.27985673 
##                                                                  
##  -1.75724359  -1.44711969  -0.61877120   0.19761362  -0.38696066 
##                                        
##  -2.30222670  -1.92152461  -1.45778899 
## 
## $R
##             (Intercept)      width     weight
## (Intercept)   -22.47221 -608.26697 -59903.289
## width           0.00000   51.64307  13853.568
## weight          0.00000    0.00000   6304.348
## 
## $rank
## [1] 3
## 
## $qr
## $qr
##      (Intercept)         width        weight
## 1   -22.47220513 -6.082670e+02 -5.990329e+04
## 2     0.05529225  5.164307e+01  1.385357e+04
## 3     0.07087235  3.600817e-02  6.304348e+03
## 4     0.06592630  6.792020e-02 -7.723097e-03
## 5     0.07578694  3.850513e-02 -5.772742e-02
## 6     0.06442484  9.440745e-02 -6.862835e-02
## 7     0.07249907  2.106087e-02  4.375190e-02
## 8     0.06289940  6.753879e-02  3.150971e-02
## 9     0.06215758  9.378978e-02 -3.887168e-02
## 10    0.06790722  4.632146e-02  3.144812e-02
## 11    0.06590357  8.223558e-02 -5.070785e-02
## 12    0.07628624  4.539792e-02 -8.616945e-02
## 13    0.08816220 -3.960664e-02 -2.468002e-02
## 14    0.05711809  1.532932e-01 -1.615748e-01
## 15    0.07087235  3.600817e-02  2.180461e-02
## 16    0.08405638  2.472244e-03 -8.123144e-02
## 17    0.06506614  5.570875e-02  4.024653e-02
## 18    0.08880426 -7.080924e-02  5.832384e-02
## 19    0.06726111  7.222221e-02 -3.823209e-02
## 20    0.08004012 -8.094590e-03  1.674252e-02
## 21    0.06144568  1.060845e-01 -6.755478e-02
## 22    0.06925824  6.532545e-02 -4.435567e-02
## 23    0.05591357  1.135648e-01 -2.882330e-02
## 24    0.07701904  1.567103e-02 -7.550731e-03
## 25    0.06597179  3.925980e-02  7.833540e-02
## 26    0.05694028  2.397424e-02  2.312821e-01
## 27    0.09119918 -6.081341e-02 -1.480572e-02
## 28    0.07894134  1.262707e-02 -2.839385e-02
## 29    0.07845171 -1.134774e-02  5.181282e-02
## 30    0.06607836  6.520150e-02 -1.476025e-03
## 31    0.09350764 -8.676634e-02  2.134657e-02
## 32    0.07543854  4.489346e-02 -7.176668e-02
## 33    0.06581998  4.203357e-02  7.191475e-02
## 34    0.06581998  4.203357e-02  7.191475e-02
## 35    0.07875968  1.602520e-02 -3.579571e-02
## 36    0.06078385  9.171697e-02 -1.634584e-02
## 37    0.07806414  1.248676e-02 -1.416514e-02
## 38    0.08871243 -1.283191e-02 -1.153318e-01
## 39    0.06104352  1.000776e-01 -4.465791e-02
## 40    0.08279731 -2.638783e-02  2.705573e-02
## 41    0.08772666 -1.268932e-02 -9.841494e-02
## 42    0.07943402  3.690158e-02 -1.096037e-01
## 43    0.07707218 -1.785570e-02  9.298896e-02
## 44    0.09717548 -1.197695e-01  5.203753e-02
## 45    0.09283157 -5.382289e-02 -6.576378e-02
## 46    0.08472696 -6.387130e-02  1.080158e-01
## 47    0.07972714 -3.581721e-02  1.055676e-01
## 48    0.06623077  6.246989e-02  4.799905e-03
## 49    0.08778719 -5.089820e-02  1.604037e-02
## 50    0.10463472 -1.426225e-01 -2.609973e-02
## 51    0.06577460  7.062605e-02 -1.394141e-02
## 52    0.08427931 -1.952541e-02 -1.848287e-02
## 53    0.08004012 -8.094590e-03  1.674252e-02
## 54    0.05643121  1.047938e-01 -7.689184e-03
## 55    0.06581998  4.203357e-02  7.191475e-02
## 56    0.08738362 -4.305931e-02 -6.030400e-04
## 57    0.07967217 -1.123595e-03  1.558130e-03
## 58    0.07119966  2.997804e-02  3.540618e-02
## 59    0.08168885 -2.247991e-02  3.350783e-02
## 60    0.06928213  5.027410e-02  8.201999e-04
## 61    0.07686831  2.260830e-03  3.531564e-02
## 62    0.06474470  7.515485e-02 -1.446069e-02
## 63    0.07499650  5.469209e-03  5.407818e-02
## 64    0.06853590  3.482109e-02  5.773079e-02
## 65    0.08298828 -3.005989e-02  3.498624e-02
## 66    0.09189505 -1.132614e-01  1.311011e-01
## 67    0.09286359 -7.404600e-02 -5.213634e-03
## 68    0.07280878  3.065555e-02  1.025326e-02
## 69    0.05733519  1.665579e-02  2.491940e-01
## 70    0.07280878  3.065555e-02  1.025326e-02
## 71    0.07852426  5.356365e-02 -1.455728e-01
## 72    0.05719694  1.037269e-01 -1.256477e-02
## 73    0.05914684  1.072631e-01 -4.461796e-02
## 74    0.06912270  5.316625e-02 -5.735206e-03
## 75    0.06217902  8.029370e-02  1.672887e-03
## 76    0.05643121  1.047938e-01 -7.689184e-03
## 77    0.06930603  3.521237e-02  4.602724e-02
## 78    0.06912270  5.316625e-02 -5.735206e-03
## 79    0.05504414  3.515197e-02  2.171075e-01
## 80    0.06638353  5.972533e-02  1.110479e-02
## 81    0.06770424  7.859025e-02 -6.338882e-02
## 82    0.08389188 -1.213463e-02 -3.430547e-02
## 83    0.05732887  1.014715e-01 -7.158406e-03
## 84    0.07477233  4.124332e-02 -5.071723e-02
## 85    0.07054655  4.198223e-02  8.327349e-03
## 86    0.07171819  5.230135e-03  1.028430e-01
## 87    0.08877364 -5.147014e-02  3.986782e-04
## 88    0.07747301  5.621776e-02 -1.371613e-01
## 89    0.06118431  9.764602e-02 -3.896004e-02
## 90    0.05918765  8.158189e-02  3.256480e-02
## 91    0.10912824 -1.202554e-01 -1.865477e-01
## 92    0.07633887  1.221079e-02  1.335935e-02
## 93    0.07447995  1.515440e-02  3.252140e-02
## 94    0.09222398 -6.149677e-02 -3.140897e-02
## 95    0.05606186  9.922895e-02  1.298337e-02
## 96    0.08492238 -6.771397e-02  1.163165e-01
## 97    0.06928213  5.027410e-02  8.201999e-04
## 98    0.06655170  1.933317e-02  1.310208e-01
## 99    0.06695191  7.771695e-02 -5.075175e-02
## 100   0.08778719 -5.089820e-02  1.604037e-02
## 101   0.08462930 -3.801949e-02  3.151384e-02
## 102   0.05855014  6.796429e-02  8.084025e-02
## 103   0.07757995 -1.122164e-02  6.506398e-02
## 104   0.07273349  7.809823e-02 -1.320846e-01
## 105   0.06506614  5.570875e-02  4.024653e-02
## 106   0.08350622 -4.811394e-03 -4.998220e-02
## 107   0.07297671  2.755071e-02  1.719583e-02
## 108   0.09081125 -7.240954e-02  2.727178e-02
## 109   0.06377490  5.182808e-02  6.822725e-02
## 110   0.07169346  2.082684e-02  5.604349e-02
## 111   0.09134651 -2.513760e-02 -1.253356e-01
## 112   0.07583923  5.530666e-03  4.116919e-02
## 113   0.06730752  4.298354e-02  4.954789e-02
## 114   0.06623077  6.246989e-02  4.799905e-03
## 115   0.10209239 -2.102371e-01  2.294808e-01
## 116   0.06010842  9.069780e-02 -5.451208e-03
## 117   0.09403154 -8.725247e-02  1.308665e-02
## 118   0.05285704  1.188569e-01 -1.462214e-02
## 119   0.07082349  6.680181e-02 -7.060355e-02
## 120   0.07583923  5.530666e-03  4.116919e-02
## 121   0.06024706  8.828538e-02  2.482378e-04
## 122   0.09708035 -1.281011e-01  7.904616e-02
## 123   0.07001620  2.947976e-02  5.353593e-02
## 124   0.05880026  7.593061e-02  5.398120e-02
## 125   0.08369883 -8.464601e-03 -4.216201e-02
## 126   0.06989943  5.376368e-02 -1.825768e-02
## 127   0.09158878 -4.911689e-02 -5.724321e-02
## 128   0.05437320  1.104362e-01 -3.802197e-03
## 129   0.06695560  2.819111e-02  9.892913e-02
## 130   0.06909887  6.818192e-02 -5.080486e-02
## 131   0.06331380  7.349388e-02  8.427466e-03
## 132   0.06207873  5.585230e-02  7.676963e-02
## 133   0.08486383 -3.073924e-02  5.526742e-03
## 134   0.06976263  4.151573e-02  2.066846e-02
## 135   0.08755497 -2.790412e-02 -4.941328e-02
## 136   0.06757174  6.667506e-02 -2.559571e-02
## 137   0.08956461 -4.803137e-02 -2.405229e-02
## 138   0.07450564 -1.050733e-03  8.113096e-02
## 139   0.06848864  6.459955e-02 -3.165621e-02
## 140   0.07889126 -1.141131e-02  4.507281e-02
## 141   0.16105950 -4.438017e-01 -4.701020e-01
## 142   0.09885209 -1.433434e-01  9.098706e-02
## 143   0.08732819 -6.963227e-02  8.070087e-02
## 144   0.06373092  7.952451e-02 -1.496029e-02
## 145   0.07214091  4.293104e-02 -1.719949e-02
## 146   0.06623077  6.246989e-02  4.799905e-03
## 147   0.11112599 -2.191686e-01  7.026861e-02
## 148   0.09033644 -9.168565e-02  9.410384e-02
## 149   0.06189318  8.531108e-02 -1.007098e-02
## 150   0.09087391 -1.120028e-01  1.458406e-01
## 151   0.08315101 -1.564574e-02 -1.129914e-02
## 152   0.07119966  2.997804e-02  3.540618e-02
## 153   0.06199316  1.097273e-01 -8.508316e-02
## 154   0.05643121  1.047938e-01 -7.689184e-03
## 155   0.06261025  7.267722e-02  1.949271e-02
## 156   0.06360620  6.829772e-02  2.052738e-02
## 157   0.09137801 -4.502760e-02 -6.577503e-02
## 158   0.06106457  8.682616e-02 -4.842273e-03
## 159   0.06024706  8.828538e-02  2.482378e-04
## 160   0.10115033 -1.158655e-01 -3.712526e-02
## 161   0.07249907  2.106087e-02  4.375190e-02
## 162   0.07047749  3.580755e-02  2.796365e-02
## 163   0.08816220 -3.960664e-02 -2.468002e-02
## 164   0.06806385  4.346654e-02  3.797378e-02
## 165   0.07927857  2.303031e-02 -6.519398e-02
## 166   0.06898743  4.105440e-02  3.273427e-02
## 167   0.06066490  8.097827e-02  1.750486e-02
## 168   0.06923818  2.915217e-02  6.528120e-02
## 169   0.07855135  3.649153e-02 -9.438575e-02
## 170   0.09443323 -7.529757e-02 -3.054770e-02
## 171   0.07980527 -2.890694e-02  8.342667e-02
## 172   0.07798771  5.687347e-03  7.586541e-03
## 173   0.06402525  7.431973e-02 -2.888917e-03
## 
## $rank
## [1] 3
## 
## $qraux
## [1] 1.088366 1.112303 1.021805
## 
## $pivot
## [1] 1 2 3
## 
## $tol
## [1] 1e-11
## 
## attr(,"class")
## [1] "qr"
## 
## $family
## 
## Family: poisson 
## Link function: log 
## 
## 
## $linear.predictors
##         1         2         3         4         5         6         7 
## 1.3720122 0.4343135 0.9308087 0.7861229 1.0648997 0.7400464 0.9761955 
##         8         9        10        11        12        13        14 
## 0.6921213 0.6683933 0.8453326 0.7854332 1.0780329 1.3674045 0.4992897 
##        15        16        17        18        19        20        21 
## 0.9308087 1.2720234 0.7598565 1.3819172 0.8262123 1.1741038 0.6453550 
##        22        23        24        25        26        27        28 
## 0.8847322 0.4566620 1.0971533 0.7875024 0.4930540 1.4351398 1.1464579 
##        29        30        31        32        33        34        35 
## 1.1340145 0.7907306 1.4851342 1.0556844 0.7828948 0.7828948 1.1418503 
##        36        37        38        39        40        41        42 
## 0.6236963 1.1241094 1.3798480 0.6322218 1.2418391 1.3574995 1.1589014 
##        43        44        45        46        47        48        49 
## 1.0985328 1.5620847 1.4706215 1.2879156 1.1662680 0.7953382 1.3588790 
##        50        51        52        53        54        55        56 
## 1.7099987 0.7815153 1.2773208 1.1741038 0.4750926 0.7828948 1.3496637 
##        57        58        59        60        61        62        63 
## 1.1648885 0.9400240 1.2148829 0.8854220 1.0932354 0.7499515 1.0439307 
##        64        65        66        67        68        69        70 
## 0.8637632 1.2464467 1.4503422 1.4713112 0.9847210 0.5068769 0.9847210 
##        71        72        73        74        75        76        77 
## 1.1358632 0.5020487 0.5690942 0.8808143 0.6690830 0.4750926 0.8861117 
##        78        79        80        81        82        83        84 
## 0.8808143 0.4253187 0.7999459 0.8393455 1.2681055 0.5066564 1.0379436 
##        85        86        87        88        89        90        91 
## 0.9215934 0.9545367 1.3812275 1.1089070 0.6368295 0.5704737 1.7940953 
##        92        93        94        95        96        97        98 
## 1.0794124 1.0301078 1.4574883 0.4619594 1.2925232 0.8854220 0.8050059 
##        99       100       101       102       103       104       105 
## 0.8169970 1.3588790 1.2856090 0.5488149 1.1116660 0.9826518 0.7598565 
##       106       107       108       109       110       111       112 
## 1.2588902 0.9893287 1.4266142 0.7197672 0.9538470 1.4383680 1.0662792 
##       113       114       115       116       117       118       119 
## 0.8275918 0.7953382 1.6608043 0.6013478 1.4963084 0.3442297 0.9294292 
##       120       121       122       123       124       125       126 
## 1.0662792 0.6059554 1.5601258 0.9065013 0.5573405 1.2634978 0.9031628 
##       127       128       129       130       131       132       133 
## 1.4436653 0.4007907 0.8171072 0.8801246 0.7052545 0.6658548 1.2911437 
##       134       135       136       137       138       139       140 
## 0.8992449 1.3535816 0.8354276 1.3989683 1.0307975 0.8623837 1.1451887 
##       141       142       143       144       145       146       147 
## 2.5725955 1.5962972 1.3483945 0.7183877 0.9662904 0.7953382 1.8303770 
##       148       149       150       151       152       153       154 
## 1.4161297 0.6598677 1.4279937 1.2503646 0.9400240 0.6630959 0.4750926 
##       155       156       157       158       159       160       161 
## 0.6829060 0.7144698 1.4390577 0.6329116 0.6059554 1.6422634 0.9761955 
##       162       163       164       165       166       167       168 
## 0.9196345 1.3674045 0.8499403 1.1549835 0.8768964 0.6197784 0.8841528 
##       169       170       171       172       173 
## 1.1365529 1.5048340 1.1682270 1.1221505 0.7276030 
## 
## $deviance
## [1] 559.9006
## 
## $aic
## [1] 921.1983
## 
## $null.deviance
## [1] 632.7917
## 
## $iter
## [1] 6
## 
## $weights
##         1         2         3         4         5         6         7 
##  3.943277  1.543903  2.536560  2.194870  2.900548  2.096033  2.654338 
##         8         9        10        11        12        13        14 
##  1.997949  1.951100  2.328752  2.193357  2.938893  3.925150  1.647551 
##        15        16        17        18        19        20        21 
##  2.536560  3.568065  2.137969  3.982530  2.284649  3.235242  1.906664 
##        22        23        24        25        26        27        28 
##  2.422336  1.578795  2.995626  2.197900  1.637309  4.200232  3.147026 
##        29        30        31        32        33        34        35 
##  3.108109  2.205007  4.415558  2.873942  2.187796  2.187796  3.132559 
##        36        37        38        39        40        41        42 
##  1.865812  3.077475  3.974298  1.881787  3.461974  3.886463  3.186431 
##        43        44        45        46        47        48        49 
##  2.999761  4.768752  4.351939  3.625222  3.209991  2.215190  3.891828 
##        50        51        52        53        54        55        56 
##  5.528954  2.184780  3.587016  3.235242  1.608163  2.187796  3.856128 
##        57        58        59        60        61        62        63 
##  3.205566  2.560043  3.369900  2.424007  2.983913  2.116897  2.840360 
##        64        65        66        67        68        69        70 
##  2.372071  3.477963  4.264574  4.354942  2.677065  1.660098  2.677065 
##        71        72        73        74        75        76        77 
##  3.113860  1.652103  1.766666  2.412864  1.952446  1.608163  2.425680 
##        78        79        80        81        82        83        84 
##  2.412864  1.530078  2.225420  2.314851  3.554113  1.659732  2.823405 
##        85        86        87        88        89        90        91 
##  2.513292  2.597467  3.979784  3.031044  1.890478  1.769105  6.014031 
##        92        93        94        95        96        97        98 
##  2.942950  2.801368  4.295158  1.587181  3.641964  2.424007  2.236710 
##        99       100       101       102       103       104       105 
##  2.263692  3.891828  3.616870  1.731200  3.039418  2.671531  2.137969 
##       106       107       108       109       110       111       112 
##  3.521511  2.689428  4.164575  2.053955  2.595676  4.213813  2.904552 
##       113       114       115       116       117       118       119 
##  2.287803  2.215190  5.263543  1.824576  4.465175  1.410903  2.533063 
##       120       121       122       123       124       125       126 
##  2.904552  1.833003  4.759420  2.475646  1.746023  3.537774  2.467395 
##       127       128       129       130       131       132       133 
##  4.236195  1.493005  2.263941  2.411200  2.024362  1.946153  3.636944 
##       134       135       136       137       138       139       140 
##  2.457747  3.871266  2.305800  4.051019  2.803301  2.368801  3.143034 
##       141       142       143       144       145       146       147 
## 13.099781  4.934726  3.851237  2.051123  2.628177  2.215190  6.236237 
##       148       149       150       151       152       153       154 
##  4.121140  1.934536  4.170324  3.491616  2.560043  1.940792  1.608163 
##       155       156       157       158       159       160       161 
##  1.979622  2.043103  4.216721  1.883085  1.833003  5.166851  2.654338 
##       162       163       164       165       166       167       168 
##  2.508373  3.925150  2.339507  3.173971  2.403429  1.858516  2.420932 
##       169       170       171       172       173 
##  3.116009  4.503406  3.216285  3.071452  2.070113 
## 
## $prior.weights
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1 
## 163 164 165 166 167 168 169 170 171 172 173 
##   1   1   1   1   1   1   1   1   1   1   1 
## 
## $df.residual
## [1] 170
## 
## $df.null
## [1] 172
## 
## $y
##   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18 
##   8   0   9   0   4   0   0   0   0   0   0   0  11   0  14   8   1   1 
##  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36 
##   0   5   4   3   1   2   3   0   3   5   0   0   4   0   0   8   5   0 
##  37  38  39  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54 
##   0   6   0   6   3   5   6   5   9   4   6   4   3   3   5   5   6   4 
##  55  56  57  58  59  60  61  62  63  64  65  66  67  68  69  70  71  72 
##   5  15   3   3   0   0   0   5   3   5   1   8  10   0   0   3   7   1 
##  73  74  75  76  77  78  79  80  81  82  83  84  85  86  87  88  89  90 
##   0   6   0   0   3   4   0   5   0   0   0   4   0   3   0   0   0   0 
##  91  92  93  94  95  96  97  98  99 100 101 102 103 104 105 106 107 108 
##   5   0   0   0   0   1   0   1   1   1   1   1   1   4   1   1   1   1 
## 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 
##   2   4   3   6   0   2   2   0  12   0   5   6   6   2   0   2   3   0 
## 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 
##   3   4   2   6   6   0   4  10   7   0   5   5   6   6   7   3   3   0 
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 
##   0   8   4   4  10   9   4   0   0   0   0   4   0   2   0   4   4   3 
## 163 164 165 166 167 168 169 170 171 172 173 
##   8   0   7   0   0   2   3   4   0   0   0 
## 
## $converged
## [1] TRUE
## 
## $boundary
## [1] FALSE
## 
## $model
##     satell width weight
## 1        8  28.3   3050
## 2        0  22.5   1550
## 3        9  26.0   2300
## 4        0  24.8   2100
## 5        4  26.0   2600
## 6        0  23.8   2100
## 7        0  26.5   2350
## 8        0  24.7   1900
## 9        0  23.7   1950
## 10       0  25.6   2150
## 11       0  24.3   2150
## 12       0  25.8   2650
## 13      11  28.2   3050
## 14       0  21.0   1850
## 15      14  26.0   2300
## 16       8  27.1   2950
## 17       1  25.2   2000
## 18       1  29.0   3000
## 19       0  24.7   2200
## 20       5  27.4   2700
## 21       4  23.2   1950
## 22       3  25.0   2300
## 23       1  22.5   1600
## 24       2  26.7   2600
## 25       3  25.8   2000
## 26       0  26.2   1300
## 27       3  28.7   3150
## 28       5  26.8   2700
## 29       0  27.5   2600
## 30       0  24.9   2100
## 31       4  29.3   3200
## 32       0  25.8   2600
## 33       0  25.7   2000
## 34       8  25.7   2000
## 35       5  26.7   2700
## 36       0  23.7   1850
## 37       0  26.8   2650
## 38       6  27.5   3150
## 39       0  23.4   1900
## 40       6  27.9   2800
## 41       3  27.5   3100
## 42       5  26.1   2800
## 43       6  27.7   2500
## 44       5  30.0   3300
## 45       9  28.5   3250
## 46       4  28.9   2800
## 47       6  28.2   2600
## 48       4  25.0   2100
## 49       3  28.5   3000
## 50       3  30.3   3600
## 51       5  24.7   2100
## 52       5  27.7   2900
## 53       6  27.4   2700
## 54       4  22.9   1600
## 55       5  25.7   2000
## 56      15  28.3   3000
## 57       3  27.2   2700
## 58       3  26.2   2300
## 59       0  27.8   2750
## 60       0  25.5   2250
## 61       0  27.1   2550
## 62       5  24.5   2050
## 63       3  27.0   2450
## 64       5  26.0   2150
## 65       1  28.0   2800
## 66       8  30.0   3050
## 67      10  29.0   3200
## 68       0  26.2   2400
## 69       0  26.5   1300
## 70       3  26.2   2400
## 71       7  25.6   2800
## 72       1  23.0   1650
## 73       0  23.0   1800
## 74       6  25.4   2250
## 75       0  24.2   1900
## 76       0  22.9   1600
## 77       3  26.0   2200
## 78       4  25.4   2250
## 79       0  25.7   1200
## 80       5  25.1   2100
## 81       0  24.5   2250
## 82       0  27.5   2900
## 83       0  23.1   1650
## 84       4  25.9   2550
## 85       0  25.8   2300
## 86       3  27.0   2250
## 87       0  28.5   3050
## 88       0  25.5   2750
## 89       0  23.5   1900
## 90       0  24.0   1700
## 91       5  29.7   3850
## 92       0  26.8   2550
## 93       0  26.7   2450
## 94       0  28.7   3200
## 95       0  23.1   1550
## 96       1  29.0   2800
## 97       0  25.5   2250
## 98       1  26.5   1967
## 99       1  24.5   2200
## 100      1  28.5   3000
## 101      1  28.2   2867
## 102      1  24.5   1600
## 103      1  27.5   2550
## 104      4  24.7   2550
## 105      1  25.2   2000
## 106      1  27.3   2900
## 107      1  26.3   2400
## 108      1  29.0   3100
## 109      2  25.3   1900
## 110      4  26.5   2300
## 111      3  27.8   3250
## 112      6  27.0   2500
## 113      0  25.7   2100
## 114      2  25.0   2100
## 115      2  31.9   3325
## 116      0  23.7   1800
## 117     12  29.3   3225
## 118      0  22.0   1400
## 119      5  25.0   2400
## 120      6  27.0   2500
## 121      6  23.8   1800
## 122      2  30.2   3275
## 123      0  26.2   2225
## 124      2  24.2   1650
## 125      3  27.4   2900
## 126      0  25.4   2300
## 127      3  28.4   3200
## 128      4  22.5   1475
## 129      2  26.2   2025
## 130      6  24.9   2300
## 131      6  24.5   1950
## 132      0  25.1   1800
## 133      4  28.0   2900
## 134     10  25.8   2250
## 135      7  27.9   3050
## 136      0  24.9   2200
## 137      5  28.4   3100
## 138      5  27.2   2400
## 139      6  25.0   2250
## 140      6  27.5   2625
## 141      7  33.5   5200
## 142      3  30.5   3325
## 143      3  29.0   2925
## 144      0  24.3   2000
## 145      0  25.8   2400
## 146      8  25.0   2100
## 147      4  31.7   3725
## 148      4  29.5   3025
## 149     10  24.0   1900
## 150      9  30.0   3000
## 151      4  27.6   2850
## 152      0  26.2   2300
## 153      0  23.1   2000
## 154      0  22.9   1600
## 155      0  24.5   1900
## 156      4  24.7   1950
## 157      0  28.3   3200
## 158      2  23.9   1850
## 159      0  23.8   1800
## 160      4  29.8   3500
## 161      4  26.5   2350
## 162      3  26.0   2275
## 163      8  28.2   3050
## 164      0  25.7   2150
## 165      7  26.5   2750
## 166      0  25.8   2200
## 167      0  24.1   1800
## 168      2  26.2   2175
## 169      3  26.1   2750
## 170      4  29.0   3275
## 171      0  28.0   2625
## 172      0  27.0   2625
## 173      0  24.5   2000
## 
## $call
## glm(formula = satell ~ width + weight, family = "poisson")
## 
## $formula
## satell ~ width + weight
## 
## $terms
## satell ~ width + weight
## attr(,"variables")
## list(satell, width, weight)
## attr(,"factors")
##        width weight
## satell     0      0
## width      1      0
## weight     0      1
## attr(,"term.labels")
## [1] "width"  "weight"
## attr(,"order")
## [1] 1 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: R_GlobalEnv>
## attr(,"predvars")
## list(satell, width, weight)
## attr(,"dataClasses")
##    satell     width    weight 
## "numeric" "numeric" "numeric" 
## 
## $data
## <environment: R_GlobalEnv>
## 
## $offset
## NULL
## 
## $control
## $control$epsilon
## [1] 1e-08
## 
## $control$maxit
## [1] 25
## 
## $control$trace
## [1] FALSE
## 
## 
## $method
## [1] "glm.fit"
## 
## $contrasts
## NULL
## 
## $xlevels
## named list()
pvalue <- c(anova(modcombo, modcombo2, test = "Chisq")[5] ,anova(modcombo, modcombo3, test = "Chisq")[5] , anova(modcombo, modcombo4, test = "Chisq")[5])

modcombo5 <- glm(satell ~ width + weight + spine, family = "poisson")
modcombo6 <- glm(satell ~ width + weight + color, family = "poisson")

#it appears we should keep modcombo6 and add the predictor of color since it makes the model better

pvalue2 <- c(anova(modcombo4, modcombo5, test = "Chisq")[5] ,anova(modcombo4, modcombo6, test = "Chisq")[5])