Problem #3

> set.seed(7770)
  Yvec = rlogis(100,4,2)
  Yvec
  [1]  7.84542847  4.85885674  7.93318895  1.30477345  5.68550914  0.71636588
  [7]  6.06415995  3.11912285  6.12995885 -5.56217442  3.37175046 -4.23899933
 [13]  8.68971133  3.63508472  1.62773496  5.38854589 -2.45094929  3.76658917
 [19] -0.68223999  3.41542027  4.45533966  4.44325670 -0.12063228  3.95966793
 [25]  3.95904113  2.86811476  5.80715656  6.59443933  6.09753609  8.08006289
 [31]  3.80068885 12.86572579  8.09475430  6.56110969  2.96557840  4.03800528
 [37]  4.32413135  3.61789641  5.99502974  2.51516617  0.34277961  4.17941969
 [43] -5.07894497  3.27254413  4.94772499  9.83831640  2.42044371  8.88905752
 [49]  4.62670055  7.05511454  9.22859183  6.14552002  0.03667314  7.65743091
 [55]  5.70769148  1.51189010  4.17225658 -7.29445879  3.51781756  6.16395990
 [61]  2.24186693  8.62508445  5.41180121  5.12440935  1.00920975  4.76113469
 [67]  1.59068269  6.19301917  0.45872793  2.69364011  5.97314962  5.59266391
 [73]  3.03811577 11.50938657 -1.08954861  6.76702554  5.06820765  4.84028263
 [79]  1.67518612  8.91089511  2.79614793 14.35340413  5.41568832  6.63515678
 [85] -1.56679904  5.23100874  5.35118609  5.73724551  3.76551021 -1.94460431
 [91]  1.22720108  7.22639940  6.49457305 -3.14510654  7.77929904  5.26910266
 [97]  4.99650964  4.01827684 -2.32968179  5.62743078

> quantile(Yvec, prob=(0:5)/5)
       0%       20%       40%       60%       80%      100% 
-7.294459  1.574924  3.787049  5.301936  6.567776 14.353404 


Problem #4

> X.arr
     [,1] [,2] [,3] [,4]
[1,]    3    7    9   13
[2,]    0    5    7   14
[3,]    4    6   13   16
[4,]    4   13   13   14
[5,]    9   11   17   22

## Problem is to test H0: b[3] = 0 and related GOF questions