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Performing Multivariate-Cluster Analysis on Ontario Census Data

Task 1: Choose an Economic Area

Your assignment is to perform multivariate-cluster analysis on the Ontario census data to generate aregionalizationof Ontario’s DA for the purpose of socio-economic profiling. You can frame your assignmentin any way you choose (e.g., business profiling, health, marketing, etc.).Tasks1. Choose a single economic area (EA) to focus on, subset the data appropriately.2. Select a subset of 6 variables from the dataset to focus on for your analysis.At least one should be derived by combining two or more variables in some meaningful way.3. Report initial descriptive statistics for each variable.4. Show two (2) plots that are meaningful in the context of your problem.5. Show two (2) choropleth maps that are meaningful in the context of your problem.6. Scale your variables appropriately so that you remove the effect of different units/scales.7. Multivariate clusteringusing your chosen variables run multivariate cluster analysis (k-means) for values of k = 2,3,. . . ,10.Record the cluster statistics including the Between/Total SS ratio for each value of k.Calculate the Davies-Bouldin index for each value of k.Choose the “best” clustering level.8. Report and comment on the summary statistics for the cluster centres for your chosen value of k.cluster sizescluster centerscluster within SS9. Create meaningful names for each cluster in your final clustering based on the above summaries.10.Create a bivariate scatterplot showing two of your 6 variables (you choose) with each point colored bycluster name.11.Create a final cluster map that shows the distribution of your clusters across Southern ontario (withinyour EA)use the sf plotting functionsuse appropriate colors, titles, legend, etc.12. Comment/interpret your findings in terms of how you framed your original problem.1

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