Case
MAT135 ACT A REPORT
- Course
- MAT135
- Institution
- University Of Toronto (U Of T )
U of T MAT135 ACT A report. A good reference to use for the first report of MAT135.
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ACT AINTRODUCTION
In recent years, the multicultural and diverse border city of Windsor, Ontario has seen an
increase in population . With further exploration, a model can predict how different factors which
affect Windsor’s number of incoming immigrants can predict the growth of Windsor’s
population.
DEFINING THE PROBLEM STATEMENT
A possible mind-map to display what could be considered as “the most influential factor”
affecting Windsor, Ontario’s increasing population is attached, defining that the most influential
factor increases the number of incoming immigrants. Based on the mind-map, the model will
predict how the variables which affect immigration to Windsor, will affect Windsor’s overall
population over time.
MAKING ASSUMPTIONS
The assumptions upon which this model will be based off of, include the following:
- What is considered “the most influential” factor affecting Windsor’s increasing
population is the factor which increases the number of incoming immigrants
- Majority of immigrants moving to Windsor are looking for employment or an education
- Immigrants looking for education are primarily in search of a post-secondary education
DEFINING VARIABLES
Let j represent the number of employment positions available (output/dependent variable) at
time t in years (input/independent variable), where i represents the number of incoming
immigrants and -e represent the number of emigrants at the same time, t (with e being negative to
represent the migrants leaving the city). Each variable will produce the total population of
Windsor, Ontario which will be represented by the value P.
BUILDING SOLUTIONS
Based on data calculated from previous years, we can make the assumption that the number of
immigrants, i, incoming each year is based on j (not calculated yet). Therefore comparing the
correlation between the number of employment positions j and incoming immigrants/outgoing
migrants per year, P(t), where we would expect an increasing function. If the results produce an
increasing function of j(t), we can assume the number of incoming immigrants n(t) will also be
an increasing function at which the total population of Windsor Ontario is increasing.
CONCLUSION
This model aims to predict the population growth of Windsor, Ontario, based on data which
displays the correlation between employment opportunities and possibilities of higher education
in Windsor, and the increase of incoming immigrants over a period of time. While our model is
expected to present a positive correlation, further calculations and detailed analysis is required to
validate this expected increasing number in Windsor’s population.
Works Cited
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