The pneumo data gives the number of coal miners classifies by radiological examination into one of three categories of pneumoconiosis and by a number of years spent working at the coal face divided into eight categories. a) Treating the pneumoconiosis status as a response variable as nominal, build a model for predicting the frequency of the three outcomes in terms of length of service and use it to predict the outcome for a miner with 25 years of service. Check the goodness of fit tests. pneumo Freq status year 1 98 normal 5.8 2 51 normal 15 3 34 normal 21.5 4 35 normal 27.5 5 32 normal 33.5 6 23 normal 39.5 7 12 normal 46 8 4 normal 51.5 9 0 mild 5.8 10 2 mild 15 11 6 mild 21.5 12 5 mild 27.5 13 10 mild 33.5 14 7 mild 39.5 15 6 mild 46 16 2 mild 51.5 17 0 severe 5.8 18 1 severe 15 19 3 severe 21.5 8 severe 27.5 201 21 9 severe 33.5 22 8 severe 39.5 23 10 severe 46 46 24 5 severe 51.5 The pneumo data gives the number of coal miners classifies by radiological examination into one of three categories of pneumoconiosis and by a number of years spent working at the coal face divided into eight categories. a) Treating the pneumoconiosis status as a response variable as nominal, build a model for predicting the frequency of the three outcomes in terms of length of service and use it to predict the outcome for a miner with 25 years of service. Check the goodness of fit tests. pneumo Freq status year 1 98 normal 5.8 2 51 normal 15 3 34 normal 21.5 4 35 normal 27.5 5 32 normal 33.5 6 23 normal 39.5 7 12 normal 46 8 4 normal 51.5 9 0 mild 5.8 10 2 mild 15 11 6 mild 21.5 12 5 mild 27.5 13 10 mild 33.5 14 7 mild 39.5 15 6 mild 46 16 2 mild 51.5 17 0 severe 5.8 18 1 severe 15 19 3 severe 21.5 8 severe 27.5 201 21 9 severe 33.5 22 8 severe 39.5 23 10 severe 46 46 24 5 severe 51.5