# [Solution]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. 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.

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.
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