Reference no: EM132315116
Course: Operation Research
The data relate to the evaluation of four characteristics of the works of 54 painters (on a scale from 0 to 20). The random sample includes measurements for the following variables: 'Name' = name of the painter, 'Composition' = composition score, 'Drawing' = design score, 'Color' = color score, 'Expression' 'School' = the school to which each artist
i) Provide a descriptive analysis for each variable separately, which consists of appropriate numerical and graphical methods and comment on your findings. What is the characteristic feature of the sample artists to score the highest score on average? Which feature is associated with the highest score scatter?
ii) Using the appropriate chart-graph, see if the grade for the composition ("Composition") varies according to the school to which the painter belongs. Give the diagram appropriate names in different schools. Repeat the process for each of the remaining quantitative qualifying attributes you have at your disposal. What do you conclude?
iii) To build the frequency and relative frequency table for composite score data using 3 classes, where a grade of less than or equal to 8 is considered "low", a score greater than 8 and less or less of 14 is considered "medium" and a score greater than 14 is considered "high". Provide corresponding names in the categories of this new category variable. Then describe the "Expression" variable separately for each rating category for the composition (include graphical and numerical methods). Compare and comment on your results.
iv) Build a Contingency tablebetween the new categorical variable for the synthesis score you created in the previous query and the "School" variable.
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