Math/Physic/Economic/Statistic Problems

Please justify your answer to each question. This justification can involve hand calculation or providing relevant interpretation of output from SPSS and/or statstar.io. If a question requires hand calculation, please show your working. If a question requires output from statstar.io, please provide and refer to this output accordingly. Do not simply restate SPSS or statstar.io output, but provide concise interpretation of this output where appropriate.

Question 1. [16 marks]

A data set contains information about 120 different female dogs who have bred, 40 of which are labradors, 40 are golden retrievers, and 40 are German shepherds.

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The variables are:

                     Breed    breed of the dog

             LitterSize    the number of pups in the dog’s most recent litter

                  Weight    the weight of the dog, in kilograms

                   Height    the height of the dog, in centimetres

Temperament behaviour score, with 5 possible scores: very poor, poor, standard, good, and very good

  • [5 marks] What types of variables are Breed, LitterSize, Weight, Height, and Temperament? Provide a justification for each answer. Your mark for each variable will be based on this justification.
  • [2 marks] Using the output of Figures 1 and 2, describe the distribution of the weight of the dogs.
  • [3 marks] Using the output of Figures 3 and 4, describe the relationship (if any) between breed and temperament.
  • [3 marks] Using the output of Figures 5 and 6, describe the relationship (if any) between weight and height of the dogs.
  • [3 marks] Using the output of Figures 7 and 8, describe the relationship (if any) between litter size and breed.