CRASH Data: age vel acl y n 1 22 50 98 0 1 2 21 49 160 0 1 3 40 50 134 1 1 4 43 50 142 1 1 5 23 51 118 0 1 6 58 51 143 1 1 7 29 51 77 0 1 8 29 51 184 0 1 9 47 51 100 1 1 10 39 51 188 1 1 11 22 50 162 0 1 12 52 51 151 1 1 13 28 50 181 1 1 14 42 50 158 1 1 15 59 51 168 1 1 16 28 41 128 0 1 17 23 61 268 1 1 18 38 41 76 0 1 19 50 61 185 1 1 20 28 41 58 0 1 21 40 61 190 1 1 22 32 50 94 0 1 23 53 47 131 0 1 24 44 50 120 1 1 25 38 51 107 1 1 26 36 50 97 0 1 27 33 53 138 1 1 28 51 41 68 1 1 29 60 42 78 1 1 30 30 45 95 0 1 31 27 46 96 1 1 32 25 44 106 0 1 33 53 44 86 1 1 34 64 45 65 1 1 35 54 45 103 0 1 36 41 45 102 1 1 37 36 45 108 1 1 38 27 45 140 0 1 39 45 45 94 1 1 40 49 40 77 0 1 41 24 40 101 0 1 42 65 40 82 1 1 43 63 51 169 1 1 44 26 40 82 0 1 45 60 45 83 1 1 46 47 45 103 1 1 47 59 44 104 1 1 48 26 44 139 0 1 49 31 45 128 1 1 50 47 46 138 1 1 51 41 45 102 0 1 52 25 44 90 0 1 53 50 44 88 1 1 54 53 50 128 1 1 55 62 50 136 1 1 56 23 50 108 0 1 57 27 60 176 1 1 58 19 60 191 0 1 Description: Data from 58 simulated car crashes. Format: - age designed age of the crash dummy - vel velocity of the car at impact - acl acceleration of the car at impact - y outcome from test (1=fatal, 0=non-fatal) - n number of binomial trials. For this data, n is a vector of ones, thus each trial is modeled as a Bernoulli random variable. Task: Model the fatality of the crash.