1. The following table shows the proportion of carrots showing insect damage in a trial with three blocks (fields) and eight dose levels of insecticide. dose 1.64 1.76 1.88 2.00 2.12 2.24 2.36 Block 1 10/35 16/32 8/50 6/42 9/35 9/42 1/32 2/28 Block 2 17/38 10/40 8/33 8/39 5/47 7/42 6/35 14/35 Block 3 10/34 10/38 5/36 3/35 2/49 1/40 3/22 2/31 Enter the data into R as a data frame, with explanatory variables dose and block (a factor), using this code: m = c(35,32,50,42,35,42,32,28, 38,40,33, 39, 47, 42,35,35,34,38,36,35,49,40,22,31) z = c(10, 16,8,6,9,9,1,2, 17,10,8,8,5,7,6,14, 10, 10,5,3,2,1,3,2) carrots - data frame count - 2, number = m, dose = rep(c(1.52,1.64,1.76,1.88,2.00,2.12,2.24,2.36), 3), block = factor (c(rep(1,8), rep (2,8), rep(3,8))) > Write down an appropriate GLM mathematically, i.e. identify Yi, its distribution, the link function and the linear predictor. The null model is fitted using out