Question

2. We are interested in examining the yield of tomato plants that have been grown with certain types of fertiliser. A study is conducted and the following data obtained Fertiliser 43 33 56 45 37 54 47 38 57 46 35 48 We fit the model where μ is the overall mean and T, is the effect of using the ith fertiliser. For this question, you may NOT use the 1n function in R (a) Find a conditional inverse for XTX, using the algorithm given in Theorem 6.2. b)Chaacterise all solutions to the normal equations (c) Is 42 2 Ts estimable? (d) Find a 95% prediction interval for the yield of a tomato plant grown on fertiliser 1. (e) Test the hypothesis that fertilisers 2 and 3 have no difference in yield.

Answer 1

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