Set by Dr. Daniel Perley

Problem 4: Tomato Farmer (Please post your answer with R command lines used)

A company is researching growing methods for tomato plants. Different watering frequencies, watering mechanisms, insecticides, and fertilizers are tried in various combinations, and the total tomato yield (in g) for each plant is measured. The company uses ten large greenhouses, labeled A-J. The results are saved in the file tomato.csv.

1. Use a multi-factor ANOVA with one-way interactions to investigate the impact of growing method (and greenhouse) on yield. Below your code block, write explicitly which variables are significant and which variable-pair interactions are significant. You may ignore any non-normal behaviour in this data set.

2. Considering them individually, which of the five potential explanatory variables (watering frequency, watering type, insecticide, fertilizer, or greenhouse) is the most important for determining the yield in this experiment?

3. Recommend a growing and treatment regime (list the combination of factor levels which provide the highest yield, under your preferred model).

4. Predict the average yield per plant under your recommended regime and provide a confidence interval on this model average.

tomato.csv( save the tomato file as CVS on your pc)

https://1drv.ms/u/s!AgOhBzX2T2W6uyBJzo7NfUOjK_c6?e=iMT5xc