Brewer's malt is produced from germinating barley, so brewers like to know under what conditions they should germinate their barley. The following is part of an experiment on barley germination. Barley seeds were divided into 30 lots of 100 seeds, and each lot of 100 seeds was germinated under one of ten conditions chosen at random. The conditions are the ten combinations of weeks after harvest (1, 3, 6, 9, or 12 weeks) and amount of water used in germination (4 ml or 8 ml). The response is the number of seeds germinating. We are interested in whether timing and/or amount of water affect germination. The data for this problem are in Table 8.1 (Hareland and Madson 1989). Analyze these data to determine how the germination rate depends on the treatments

week water y 1 1 11 1 2 8 2 1 7 2 2 1 3 1 9 3 2 5 4 1 13 4 2 1 5 1 20 5 2 11 1 1 9 1 2 3 2 1 16 2 2 7 3 1 19 3 2 9 4 1 35 4 2 10 5 1 37 5 2 15 1 1 6 1 2 3 2 1 17 2 2 3 3 1 35 3 2 9 4 1 28 4 2 9 5 1 45 5 2 25