The document discusses analyzing population, job vacancy, and unemployment rate data for various Australian states over time. Key findings include:
- The populations of Victoria, New South Wales, and Queensland have been gradually increasing over time. Queensland has the lowest population.
- Job vacancies in Victoria have fluctuated over time, with a maximum around 72000 and minimum around 32000. A linear regression model fits the recent data better than all the data.
- The maximum unemployment rate in Victoria was 12.55% in 1993. Unemployment and job vacancies are inversely related.
- A motion chart shows unemployment rates, job vacancy rates, and populations changing over time for each state. Tasmania generally has
Scatter plots are used to analyze the relationship between two sets of data by plotting points on a graph without connecting them. Points that form a positive sloping pattern from bottom left to top right indicate a direct relationship, while an inverse pattern shows an indirect relationship, and no pattern means no relationship exists between the variables. The stat key in a graphing calculator can be used to choose the lists of data for the x and y axes and determine the window ranges to plot scatter plot graphs for analysis.
Scatter diagrams, strong and weak correlation, positive and negative correlation, lines of best fit, extrapolation and interpolation. Aimed at UK level 2 students on Access and GCSE Maths courses.
Scatter plots graph ordered pairs of data and can show positive, negative, or no correlation between two variables. A positive correlation means both variables increase together, while a negative correlation means one increases as the other decreases. The correlation coefficient measures the strength of the linear relationship between -1 and 1. An example scatter plot shows U.S. SUV sales increasing each year from 1991 to 1999, indicating a positive correlation between year and sales.
This document discusses correlation and linear regression. It defines correlation as the relationship between two variables and can range from -1 to 1, with -1 being a strong negative correlation, 0 being no correlation, and 1 being a strong positive correlation. Scatter plots are used to visualize the correlation between two variables by plotting data points. The correlation coefficient, r, quantifies the correlation and the closer r is to -1 or 1, the stronger the linear relationship. Linear regression finds the equation of the best fit line that describes the relationship between two variables. An example uses data on video sales and number of households with VCRs to demonstrate a positive linear correlation and calculates the regression equation to predict future sales.
This document discusses different types of graphs and charts, their uses, and provides examples. It summarizes 6 common types: line graphs show trends over time; bar charts compare categorical data with bars; pie charts illustrate proportional data with slices; histograms show distributions of continuous data with columns; scatter plots show relationships between two variables with x-y axes; and Venn charts visualize logical relationships between groups with overlapping circles. The document provides examples and descriptions of when each type would be useful.
This document provides information about different types of charts and graphs used to represent data visually, including pie charts, line graphs, bar charts, and tables. It explains what each of these graphical representations are through definitions and examples. Pie charts show percentages, line graphs show changes over time, bar charts show comparisons of discrete categories, and tables arrange data into rows and columns. The document is intended to teach about various ways to visually display quantitative information through graphical formats.
Scatter plots are used to analyze the relationship between two sets of data by plotting points on a graph without connecting them. Points that form a positive sloping pattern from bottom left to top right indicate a direct relationship, while an inverse pattern shows an indirect relationship, and no pattern means no relationship exists between the variables. The stat key in a graphing calculator can be used to choose the lists of data for the x and y axes and determine the window ranges to plot scatter plot graphs for analysis.
Scatter diagrams, strong and weak correlation, positive and negative correlation, lines of best fit, extrapolation and interpolation. Aimed at UK level 2 students on Access and GCSE Maths courses.
Scatter plots graph ordered pairs of data and can show positive, negative, or no correlation between two variables. A positive correlation means both variables increase together, while a negative correlation means one increases as the other decreases. The correlation coefficient measures the strength of the linear relationship between -1 and 1. An example scatter plot shows U.S. SUV sales increasing each year from 1991 to 1999, indicating a positive correlation between year and sales.
This document discusses correlation and linear regression. It defines correlation as the relationship between two variables and can range from -1 to 1, with -1 being a strong negative correlation, 0 being no correlation, and 1 being a strong positive correlation. Scatter plots are used to visualize the correlation between two variables by plotting data points. The correlation coefficient, r, quantifies the correlation and the closer r is to -1 or 1, the stronger the linear relationship. Linear regression finds the equation of the best fit line that describes the relationship between two variables. An example uses data on video sales and number of households with VCRs to demonstrate a positive linear correlation and calculates the regression equation to predict future sales.
This document discusses different types of graphs and charts, their uses, and provides examples. It summarizes 6 common types: line graphs show trends over time; bar charts compare categorical data with bars; pie charts illustrate proportional data with slices; histograms show distributions of continuous data with columns; scatter plots show relationships between two variables with x-y axes; and Venn charts visualize logical relationships between groups with overlapping circles. The document provides examples and descriptions of when each type would be useful.
This document provides information about different types of charts and graphs used to represent data visually, including pie charts, line graphs, bar charts, and tables. It explains what each of these graphical representations are through definitions and examples. Pie charts show percentages, line graphs show changes over time, bar charts show comparisons of discrete categories, and tables arrange data into rows and columns. The document is intended to teach about various ways to visually display quantitative information through graphical formats.
This document discusses pictograms and line graphs for representing data. It defines a pictogram as using picture symbols proportional in size to the data magnitude. Examples show pictograms representing students' cookie preferences and library visitors. Line graphs plot variables over time on an x-y axis, showing fluctuations and comparisons. Examples demonstrate line graphs for temperature over a year and sales for two firms from 1996-2002. The document compares the advantages and disadvantages of each, noting pictograms are easy to read but hard to quantify partially, while line graphs can compare continuous data but use only for continuous variables.
Data is the new oil! Modern analytical methods are a decisive success factor for service-oriented business models in IoT and Industry 4.0. A new white paper explains the state of the art and shows what latest methods can achieve in practice
This document provides guidance on constructing various types of graphs, including bar graphs, line graphs, climate graphs, percentage bar graphs, scatter plots, and pictographs. It explains the key elements that should be included in each graph, such as labeled axes, a title, legend/key, and scale. Examples of properly constructed graphs are also provided for each type to demonstrate how the guidance should be applied.
This document discusses different types of graphs used to present statistical data. It provides examples and guidelines for bar graphs, pie charts, histograms, line graphs, and pictographs. Bar graphs can show categorical data and frequencies. Pie charts represent qualitative data through wedge-shaped slices. Histograms use bars to depict continuous data grouped into ranges or classes. Line graphs illustrate relationships that change over time. Pictographs use images to demonstrate quantities. Being able to interpret and construct these various graphs is important for analyzing real-world data.
Statistics can be used to describe patterns but need context to avoid being misleading. While averages, measures of spread, and probabilities help summarize data, graphs are better to show trends over time. Pie charts, bar graphs, and maps can effectively visualize data geographically or by category when formatted properly. Advanced statistical software and websites provide cutting-edge tools for analysis and interactive graphics but improper use can result in poor statistical reasoning.
The document provides an analysis of variables that may impact AT&T revenue based on a multiple linear regression model. It analyzes AT&T revenue data and identifies interest rates and Verizon revenue as independent variables. Univariate time series models are used to forecast each independent variable, with winter's exponential smoothing chosen for interest rates and ARIMA for Verizon revenue. The regression model finds strong correlations between AT&T revenue and both independent variables, supporting the hypothesis that AT&T revenue can be forecasted based on interest rates and Verizon revenue.
Presentation of Data - How to Construct Graphssheisirenebkm
This document provides information and instructions on constructing different types of graphs: bar graphs, line graphs, and circle/pie graphs. It includes examples of each graph type using sample data. Steps are outlined for properly constructing each graph, including labeling axes, determining scale intervals, plotting points, and connecting data. The document emphasizes choosing the right graph based on whether the data involves categories, parts of a whole, or trends over time. Conceptual check questions test understanding of which graph type is best suited for different data sets.
Organizing and presenting data in a systematic manner allows for meaningful analysis and interpretation. Raw data can be grouped and displayed through methods like frequency distribution tables, histograms, pie charts, and other graphs. These graphical representations make it easier to understand relationships in data and identify trends. Probability is used to quantify chance and predict outcomes of random experiments where each result is equally likely. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 2 Part 3Future Managers
This slide show complements the learner guide NCV 4 Mathematical Literacy Hands-On Training by San Viljoen, published by Future Managers Pty Ltd. For more information visit our website www.futuremanagers.net
From data to diagrams: an introduction to basic graphs and chartsSchool of Data
This document provides training on data visualization and transforming data into diagrams. It discusses choosing the appropriate type of visualization based on the data and questions, including pie charts to show parts of a whole, bar charts to compare categories, line graphs to show changes over time, and maps to relate data to geography. Guidelines are provided for effectively designing each type of visualization, such as limiting the number of pie chart segments and starting bar and line graphs at zero. The importance of telling a story and engaging readers is also emphasized.
This document describes resources for teaching algebra concepts using the TI-Nspire calculator. It focuses on a DVD library titled "Algebra Applications" that contains 10 volumes addressing topics like linear functions, quadratic functions, and systems of equations. One application examines the 2008 housing crisis by modeling different mortgage scenarios, constructing an amortization table, and exploring how the loan balance changes with each payment of principal and interest over time. Graphs and calculations on the TI-Nspire are demonstrated to analyze mortgage data and better understand the factors that contributed to the crisis.
This document discusses teaching students how to organize weather data using different types of graphs. It provides examples of creating bar graphs, circle graphs, and line graphs to display data on favorite candy colors, spelling test scores, and weather patterns. Students practice making graphs from their own weather data collection to identify patterns and make predictions. They are challenged to present their organized information to others through posters, tri-boards or PowerPoint presentations.
There are 6 main types of graphs used to present data: 1) pictographs use pictures to represent data simply for small numbers, 2) bar graphs use columns to compare bigger numbers and categories, 3) double bar graphs compare sets of data by grouping results for the same category, 4) circle graphs/pie charts represent proportions as percentages to compare samples of different sizes, 5) line graphs track values measured at intervals over time, and 6) double line graphs have two or more lines on the same graph. The best graph type depends on the purpose and amount of data being presented.
Visual representation of data involves creating visual depictions of information to effectively convey insights about complex data sets. Data visualization techniques date back to cave paintings and early maps but have evolved significantly with tools like information graphics, scientific visualization, statistical graphics, and mind maps. Experts like Edward Tufte advocate for data visualizations that communicate information intuitively with minimal non-essential elements.
Here are some key ways to tell the relationship shown in a scatter plot:
- Positive relationship: As one variable increases, the other variable also increases. The data points will fall generally above or to the right of the origin.
- Negative relationship: As one variable increases, the other decreases. The data points will fall generally below or to the left of the origin.
- No relationship: There is no consistent pattern to how the variables change together. The data points will be randomly scattered with no discernible upward or downward trend.
Some other clues:
- For positive or negative relationships, the data points tend to fall near a straight line. For no relationship, they are more randomly arranged.
-
tool used to assess the correllation, rather than cause and effect relationship, between two variables eg. do icecream sales increase as the weather gets hotter
Here are 5 numerical descriptions of the data:
1. The total number of students is 15
2. The lowest number of hours spent is 5
3. The highest number of hours spent is 10
4. The most frequent number of hours spent is 6 and 9
5. The total number of hours spent is 125
This document discusses graph theory and its applications to data science. It provides examples of social and technological networks that can be represented as graphs, and covers graph theory concepts like connected components, triadic closure, structural balance, and centrality measures. Neo4j is presented as an open-source graph database that allows storing and querying graph data using the Cypher query language.
This document discusses different ways to represent numerical data using tables, graphs, and charts. It provides examples of proper labeling and formatting for tables showing quantitative data as well as different types of graphs like line graphs, scatter plots, bar charts, and pie charts that are used to visualize trends, relationships, and relative magnitudes. Key considerations for graphs include labeling axes, including units, adding titles and numbers, and using trendlines instead of connecting data points directly.
The future is uncertain. Some events do have a very small probabil.docxoreo10
The future is uncertain. Some events do have a very small probability of happening, like an asteroid destroying the earth. So we accept that tomorrow will come as a certain event. But future demand for a business’s goods and services is very uncertain. Yet, the management of a company wants to have some idea of the survival (or growth) of the company in the future. Should they expect to hire more people or let some go? Should they plan to increase capacity? How much investment is needed for future assets, or should they down size?
Forecasting provides some ideas about the future, but how this is accomplished can vary from company to company. And one key factor is how accurate the forecast is. Generally, the further into the future one looks, the more uncertain the information is. How do forecasters reduce their forecasting errors? How much error is tolerable?
Another key factor in forecasting is data availability. Data processing and storage capability have become extremely available and inexpensive. Software and computing power is also very cheap. Collecting real-time sales data via point-of-sales systems is now common at most retail establishments. But couple this with a situation in companies that have a large number of products, such as a retail store or a large manufacturing company with hundreds or thousands of product numbers and/or product lines, forecasting becomes complicated.
Forecasting Methods
There are two main types or genres of forecasting methods, qualitative and quantitative. The former consists of judgment and analysis of qualitative factors, such as scenario building and scenario analysis. The latter is obviously based on numerical analysis. This genre of forecasting includes such methods as linear regression, time series analysis, and data mining algorithms like CHAID and CART, which are useful especially in the growing world of artificial intelligence and machine learning in business. This module will look at the linear regression and time series analysis using exponential smoothing.
Linear Growth
When using any mathematical model, we have to consider which inputs are reasonable to use. Whenever we extrapolate, or make predictions into the future, we are assuming the model will continue to be valid. There are different types of mathematical model, one of which is linear growth model or algebraic growth model and another is exponential growth model, or geometric growth model. The constant change is the defining characteristic of linear growth. Plotting the values, we can see the values form a straight line, the shape of linear growth.
If a quantity starts at size P0 and grows by d every time period, then the quantity after n time periods can be determined using either of these relations:
Recursive form:
Pn = Pn-1 + d
Explicit form:
Pn = P0 + d n
In this equation, d represents the common difference – the amount that the population changes each time n increases by 1. Calculating values using the explicit form and plot ...
The document discusses different statistical methods for organizing and summarizing data, including frequency tables, stem-and-leaf plots, histograms, and scatter plots. It provides examples of each method and explains how to interpret the results, such as looking for relationships between variables in scatter plots. Key terms defined include correlation, variables, and linear regression lines.
1. The document discusses using scatterplots to analyze bivariate data and examine relationships between two variables. It provides an example of data collected on depth of snow and number of skiers at a ski resort over 12 weekends.
2. A scatterplot is created with depth of snow on the x-axis and number of skiers on the y-axis. This shows a general upward trend, indicating higher skier numbers with more snow.
3. The document discusses key aspects of scatterplots, including identifying independent and dependent variables and exploring linear and non-linear relationships between variable pairs. Examples are provided to illustrate these concepts.
This document discusses pictograms and line graphs for representing data. It defines a pictogram as using picture symbols proportional in size to the data magnitude. Examples show pictograms representing students' cookie preferences and library visitors. Line graphs plot variables over time on an x-y axis, showing fluctuations and comparisons. Examples demonstrate line graphs for temperature over a year and sales for two firms from 1996-2002. The document compares the advantages and disadvantages of each, noting pictograms are easy to read but hard to quantify partially, while line graphs can compare continuous data but use only for continuous variables.
Data is the new oil! Modern analytical methods are a decisive success factor for service-oriented business models in IoT and Industry 4.0. A new white paper explains the state of the art and shows what latest methods can achieve in practice
This document provides guidance on constructing various types of graphs, including bar graphs, line graphs, climate graphs, percentage bar graphs, scatter plots, and pictographs. It explains the key elements that should be included in each graph, such as labeled axes, a title, legend/key, and scale. Examples of properly constructed graphs are also provided for each type to demonstrate how the guidance should be applied.
This document discusses different types of graphs used to present statistical data. It provides examples and guidelines for bar graphs, pie charts, histograms, line graphs, and pictographs. Bar graphs can show categorical data and frequencies. Pie charts represent qualitative data through wedge-shaped slices. Histograms use bars to depict continuous data grouped into ranges or classes. Line graphs illustrate relationships that change over time. Pictographs use images to demonstrate quantities. Being able to interpret and construct these various graphs is important for analyzing real-world data.
Statistics can be used to describe patterns but need context to avoid being misleading. While averages, measures of spread, and probabilities help summarize data, graphs are better to show trends over time. Pie charts, bar graphs, and maps can effectively visualize data geographically or by category when formatted properly. Advanced statistical software and websites provide cutting-edge tools for analysis and interactive graphics but improper use can result in poor statistical reasoning.
The document provides an analysis of variables that may impact AT&T revenue based on a multiple linear regression model. It analyzes AT&T revenue data and identifies interest rates and Verizon revenue as independent variables. Univariate time series models are used to forecast each independent variable, with winter's exponential smoothing chosen for interest rates and ARIMA for Verizon revenue. The regression model finds strong correlations between AT&T revenue and both independent variables, supporting the hypothesis that AT&T revenue can be forecasted based on interest rates and Verizon revenue.
Presentation of Data - How to Construct Graphssheisirenebkm
This document provides information and instructions on constructing different types of graphs: bar graphs, line graphs, and circle/pie graphs. It includes examples of each graph type using sample data. Steps are outlined for properly constructing each graph, including labeling axes, determining scale intervals, plotting points, and connecting data. The document emphasizes choosing the right graph based on whether the data involves categories, parts of a whole, or trends over time. Conceptual check questions test understanding of which graph type is best suited for different data sets.
Organizing and presenting data in a systematic manner allows for meaningful analysis and interpretation. Raw data can be grouped and displayed through methods like frequency distribution tables, histograms, pie charts, and other graphs. These graphical representations make it easier to understand relationships in data and identify trends. Probability is used to quantify chance and predict outcomes of random experiments where each result is equally likely. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 2 Part 3Future Managers
This slide show complements the learner guide NCV 4 Mathematical Literacy Hands-On Training by San Viljoen, published by Future Managers Pty Ltd. For more information visit our website www.futuremanagers.net
From data to diagrams: an introduction to basic graphs and chartsSchool of Data
This document provides training on data visualization and transforming data into diagrams. It discusses choosing the appropriate type of visualization based on the data and questions, including pie charts to show parts of a whole, bar charts to compare categories, line graphs to show changes over time, and maps to relate data to geography. Guidelines are provided for effectively designing each type of visualization, such as limiting the number of pie chart segments and starting bar and line graphs at zero. The importance of telling a story and engaging readers is also emphasized.
This document describes resources for teaching algebra concepts using the TI-Nspire calculator. It focuses on a DVD library titled "Algebra Applications" that contains 10 volumes addressing topics like linear functions, quadratic functions, and systems of equations. One application examines the 2008 housing crisis by modeling different mortgage scenarios, constructing an amortization table, and exploring how the loan balance changes with each payment of principal and interest over time. Graphs and calculations on the TI-Nspire are demonstrated to analyze mortgage data and better understand the factors that contributed to the crisis.
This document discusses teaching students how to organize weather data using different types of graphs. It provides examples of creating bar graphs, circle graphs, and line graphs to display data on favorite candy colors, spelling test scores, and weather patterns. Students practice making graphs from their own weather data collection to identify patterns and make predictions. They are challenged to present their organized information to others through posters, tri-boards or PowerPoint presentations.
There are 6 main types of graphs used to present data: 1) pictographs use pictures to represent data simply for small numbers, 2) bar graphs use columns to compare bigger numbers and categories, 3) double bar graphs compare sets of data by grouping results for the same category, 4) circle graphs/pie charts represent proportions as percentages to compare samples of different sizes, 5) line graphs track values measured at intervals over time, and 6) double line graphs have two or more lines on the same graph. The best graph type depends on the purpose and amount of data being presented.
Visual representation of data involves creating visual depictions of information to effectively convey insights about complex data sets. Data visualization techniques date back to cave paintings and early maps but have evolved significantly with tools like information graphics, scientific visualization, statistical graphics, and mind maps. Experts like Edward Tufte advocate for data visualizations that communicate information intuitively with minimal non-essential elements.
Here are some key ways to tell the relationship shown in a scatter plot:
- Positive relationship: As one variable increases, the other variable also increases. The data points will fall generally above or to the right of the origin.
- Negative relationship: As one variable increases, the other decreases. The data points will fall generally below or to the left of the origin.
- No relationship: There is no consistent pattern to how the variables change together. The data points will be randomly scattered with no discernible upward or downward trend.
Some other clues:
- For positive or negative relationships, the data points tend to fall near a straight line. For no relationship, they are more randomly arranged.
-
tool used to assess the correllation, rather than cause and effect relationship, between two variables eg. do icecream sales increase as the weather gets hotter
Here are 5 numerical descriptions of the data:
1. The total number of students is 15
2. The lowest number of hours spent is 5
3. The highest number of hours spent is 10
4. The most frequent number of hours spent is 6 and 9
5. The total number of hours spent is 125
This document discusses graph theory and its applications to data science. It provides examples of social and technological networks that can be represented as graphs, and covers graph theory concepts like connected components, triadic closure, structural balance, and centrality measures. Neo4j is presented as an open-source graph database that allows storing and querying graph data using the Cypher query language.
This document discusses different ways to represent numerical data using tables, graphs, and charts. It provides examples of proper labeling and formatting for tables showing quantitative data as well as different types of graphs like line graphs, scatter plots, bar charts, and pie charts that are used to visualize trends, relationships, and relative magnitudes. Key considerations for graphs include labeling axes, including units, adding titles and numbers, and using trendlines instead of connecting data points directly.
The future is uncertain. Some events do have a very small probabil.docxoreo10
The future is uncertain. Some events do have a very small probability of happening, like an asteroid destroying the earth. So we accept that tomorrow will come as a certain event. But future demand for a business’s goods and services is very uncertain. Yet, the management of a company wants to have some idea of the survival (or growth) of the company in the future. Should they expect to hire more people or let some go? Should they plan to increase capacity? How much investment is needed for future assets, or should they down size?
Forecasting provides some ideas about the future, but how this is accomplished can vary from company to company. And one key factor is how accurate the forecast is. Generally, the further into the future one looks, the more uncertain the information is. How do forecasters reduce their forecasting errors? How much error is tolerable?
Another key factor in forecasting is data availability. Data processing and storage capability have become extremely available and inexpensive. Software and computing power is also very cheap. Collecting real-time sales data via point-of-sales systems is now common at most retail establishments. But couple this with a situation in companies that have a large number of products, such as a retail store or a large manufacturing company with hundreds or thousands of product numbers and/or product lines, forecasting becomes complicated.
Forecasting Methods
There are two main types or genres of forecasting methods, qualitative and quantitative. The former consists of judgment and analysis of qualitative factors, such as scenario building and scenario analysis. The latter is obviously based on numerical analysis. This genre of forecasting includes such methods as linear regression, time series analysis, and data mining algorithms like CHAID and CART, which are useful especially in the growing world of artificial intelligence and machine learning in business. This module will look at the linear regression and time series analysis using exponential smoothing.
Linear Growth
When using any mathematical model, we have to consider which inputs are reasonable to use. Whenever we extrapolate, or make predictions into the future, we are assuming the model will continue to be valid. There are different types of mathematical model, one of which is linear growth model or algebraic growth model and another is exponential growth model, or geometric growth model. The constant change is the defining characteristic of linear growth. Plotting the values, we can see the values form a straight line, the shape of linear growth.
If a quantity starts at size P0 and grows by d every time period, then the quantity after n time periods can be determined using either of these relations:
Recursive form:
Pn = Pn-1 + d
Explicit form:
Pn = P0 + d n
In this equation, d represents the common difference – the amount that the population changes each time n increases by 1. Calculating values using the explicit form and plot ...
The document discusses different statistical methods for organizing and summarizing data, including frequency tables, stem-and-leaf plots, histograms, and scatter plots. It provides examples of each method and explains how to interpret the results, such as looking for relationships between variables in scatter plots. Key terms defined include correlation, variables, and linear regression lines.
1. The document discusses using scatterplots to analyze bivariate data and examine relationships between two variables. It provides an example of data collected on depth of snow and number of skiers at a ski resort over 12 weekends.
2. A scatterplot is created with depth of snow on the x-axis and number of skiers on the y-axis. This shows a general upward trend, indicating higher skier numbers with more snow.
3. The document discusses key aspects of scatterplots, including identifying independent and dependent variables and exploring linear and non-linear relationships between variable pairs. Examples are provided to illustrate these concepts.
Project #4 Urban Population Dynamics This project will acquaint y.pdfanandinternational01
Project #4: Urban Population Dynamics This project will acquaint you with population
modeling and how linear algebra tools may be used to study it. Background Kolman, pages
305-307. Population modeling is useful from many different perspectives: planners at the city,
state, and national level who look at human populations and need forecasts of populations in
order to do planning for future needs. These future needs include housing, schools, care for the
elderly, jobs, and utilities such as electricity,water and transportation. businesses do population
planning so as to predict how the portions of the population that use their product will be
changing. Ecologists use population models to study ecological systems, especially those where
endangered species are involved so as to try to find measures that will restore the population.
medical researchers treat microorganisms and viruses as populations and seek to understand the
dynamics of their populations; especially why some thrive in certain environments but don\'t in
others. In human situations, it is normal to take intervals of 10 years as the census is taken every
10 years. Thus the age groups would be 0-9,10-19,11-20 etc , so 8 or 9 age categories would
probably be appropriate. The survival fractions would then show the fraction of \"newborns\" (0-
9) who survive to age 10, the fraction of 10 to 19 year olds who survive to 20 etc. This type of
data is compiled, for example, by actuaries working for insurance companies for life and medical
insurance purposes. The basic equations we begin with are (1) x(k+1) = Ax(k) k=0,1,2,. . . and
x(0) given with solution found iteratively to be (2) x(k) = Akx(0) (see Kolman for details of the
structure of A, which is 7 x 7 in this case). Your Project Suppose we are studying the
population dynamics of Los Angeles for the purpose of making a planning proposal to the city
which will form the basis for predicting school, transportation, housing, water, and electrical
needs for the years from 2000 on. As above, we take the unit of time to be 10 years, and take 7
age groups: 0-9,10-19,...,50-59,60+. Suppose further that the population distribution as of 1990
(the last census) is (3.1, 2.8, 2.0, 2.5, 2.0, 1.8, 2.9) (x105 ) and that the Leslie matrix,A, for this
model appears as Part One: Interpret carefully each of the nonzero terms in the matrix. In
addition, indicate what factors you think might change those numbers (they might be social,
economical, political or environmental). Part Two: Predict: what the population distribution
will look like in 2000, 2010, 2020 and 2030 what the total population will be in each of those
years by what fraction the total population changed each year Additionally, what does your
software tell you the largest, positive eigenvalue of A is? Part Three: Decide if you believe the
population is going to zero, becoming stable, or is unstable in the long run. Be sure and describe
in your write up how you arrived at your conclusion. If.
Linear Algebra Project Urban Population Dynamics This project is.pdfairflyluggage
Linear Algebra Project : Urban Population Dynamics
This project is about population modeling and how linear algebra tools may be used to study it.
Background
Population modeling is useful from dierent perpectives :
1. planners at the city, state, and national level who look at human populations and need
forecasts of
populations in order to do planning for future needs. These future needs include housing,
schools, care
for elderly, jobs, and utilities such as electricity, water and transportation.
2. businesses do population planning so as to predict how the portions of the population that use
their
product will be changing.
3. ecologists use population models to study ecological systems, especially those where
endangered species
are involved so as to try to nd measures that will restore the population.
4. medical researchers treat microorganisms and viruses as populations and seek to understand
the dy-
namics of their populations ; especially why some thrive in certain environments but don\'t in
others.
In human situations, it is normal to take the intervals of 10 years as the census is taken every 10
years.
Thus the age groups would be 0-9, 10-19, 20-29 etc, so 8 or 9 age categories would probably be
appropriate.
The survival fractions would then show the fraction of \"newborns\" (0-9) who survive to age
10, the fraction
of 10 to 19 years old who survive to 20 etc. This type of data is compiled, for example, by
actuaries working
for insurance companies for life and medical insurance purposes.
The basic equations we begin with are
x(k + 1) = Ax(k) k = 0; 1; 2; ::: and x(0) given (0.1)
with solution found iteratively to be
x(k) = Akx(0) (0.2)
Your project
Suppose we are studying the population dynamics of Los Angeles for the purpose of making
planning proposal.
As above, we take the unit of time to be 10 years, and take 7 age groups : 0-9, 10-19,..., 50-59,
60+. Suppose
further that the population distribution as of 1990 is
(3:1; 2:8; 2:0; 2:5; 2:0; 1:8; 2:9)(105)
1
and that the Leslie matrix, A, for this model appears as
A :=
2
666666664
:2 1:2 1:1 :9 :1 0 0
:7 0 0 0 0 0 0
0 :82 0 0 0 0 0
0 0 :97 0 0 0 0
0 0 0 :97 0 0 0
0 0 0 0 :90 0 0
0 0 0 0 0 :87 0
3
777777775
Part One :
Interpret carefully each of the nonzero terms in the matrix. In addition, indicate what factors you
think
might change those numbers (they might be social, economical, political or environmental).
Part Two :
Predict :
what the population distribution will look like in 2000, 2010, 2020, and 2030 ?
what the total population will be in each of these years ?
by what fraction the total population changed each year ?
Additionally, what does your software tell you the largest positive eigenvalue of A is ?
Part Three :
Decide if you believe the population is going to zero, becoming stable, or is unstable in the long
run. Be
sure and describe in your write up how you arrived at your conclusion. If you have decided it is
unstable,
simulate it long enough that the column matrices for.
The purpose of this tutorial is to show that Scilab can be considered as a powerful data mining tool, able to perform the widest possible range of important data mining tasks.
This document summarizes a study on crime rates in 47 U.S. states. It analyzes the relationship between crime rate (the response variable) and four predictor variables: unemployment rate, median income, state population, and police expenditure. Preliminary multiple linear regression models were developed. Diagnostic tests found no evidence of multicollinearity but did find non-normality in the residuals, violating a model assumption. Further model refinement is needed.
Here are my recommendations for graphs to use for each data set:
- Comparison of annual snowfall between resorts: Bar graph or line graph. Both would clearly show the snowfall amounts and how they compare each year.
- Time spent watching TV: Histogram. It can accommodate a large data set and show the distribution of hours watched.
- Wind speed over 3 weeks: Line graph. A line graph is best to show changes in a measurement over time.
- Favorite summer activity: Pie or bar graph. These are best for categorical data to compare proportions for each category.
The document discusses graphical representation of data using statistical tools. It describes different types of graphs like bar charts, pie charts, scatter plots, and line charts. It explains how to select the appropriate graph based on the type of data and analyze the data. It also discusses limitations of graphs and statistical analysis methods like calculating mean and standard deviation to analyze data in a robust way.
This document discusses the use of transformations in regression analysis. It explains that transformations are used to satisfy assumptions like homogeneity of variance and to linearize relationships between variables. It then discusses Tukey's ladder of transformations, which provides a systematic way of transforming variables using different powers. Various examples are provided to illustrate how choosing the best transformation parameter λ can make relationships more linear. Transformations are also used to reduce skew in data distributions.
The presentation gives an introduction to statistics and tries to show the importance of statistics for planners. It talks about the various ways in which the data is categorized and also explains on how to select the chart type to be used depending on what kind of information you want to present.
Graphical Presentation of Data - Rangga Masyhuri Nuur LLU 27.pptxRanggaMasyhuriNuur
The document discusses various graphical methods for presenting data, including histograms, polygons, pie charts, ogives, and stem-and-leaf plots. Histograms display the frequency distribution of data using bars of varying heights. Polygons connect the midpoints of histogram bars with straight lines. Pie charts represent proportions using circular slices. Ogives show cumulative frequencies with class limits on the x-axis and cumulative counts on the y-axis. Stem-and-leaf plots break values into "stems" and "leaves" for an organized display of the raw data. Examples are provided for constructing each type of graph using sample data sets.
This document discusses different methods for presenting data, including mathematical, tabular, and graphical presentation. It provides examples of various types of tables, such as simple frequency distribution tables and class interval frequency distribution tables. It also describes different types of graphs, such as bar charts, pie charts, histograms, line graphs, spot maps, scatter diagrams, and cumulative relative frequency percentage curves. The document aims to help readers understand effective methods for presenting data in a precise and clear manner.
This is a presentation I gave on Data Visualization at a General Assembly event in Singapore, on January 22, 2016. The presso provides a brief history of dataviz as well as examples of common chart and visualization formatting mistakes that you should never make.
An Analysis of maternal mortality ratio across the world.
Actions:
Data Collection from WHO and UNESCO sites
Import Data in SQL Server Management Studio
Using SQL Queries to JOIN data from different tables, using UNPIVOT to view data in a better and comparable form
Summary Statistics
Analysis of Data
Visualization and Spotting Trends Using Tableau
Link: https://public.tableau.com/profile/rutuja.gangane#!/vizhome/ACountry-wiseAnalysisofMaternalMortalityRatio/AnalysisofMMR
This document provides step-by-step examples for determining a line of best fit from a scatter plot and using the line of best fit to make predictions. It explains how to construct a scatter plot, draw a line that best represents the data, write the equation in slope-intercept form, and use the equation to predict values. The examples illustrate how to find the slope and y-intercept, write the line of best fit equation, and make conjectures for data points not explicitly in the original data set.
SOCI 234 Population and Society. Migration HomeworkMust be sub.docxpbilly1
SOCI 234 Population and Society.
Migration Homework
Must be submitted on myCourses via the “Assignment” tab before the start of class on the due date (see syllabus for date).
All homework must be submitted via myCourses. Answers must be typed. Include all formulas used in your answer.[footnoteRef:1] You must submit your homework as one (1) file (only PDF or Word files are acceptable). It is your responsibility to ensure that your file is readable, not corrupt, and includes your entire answer. [1: I recommend using the the equation and symbol features in Word.]
You may help each other but each person must write up and submit their own assignment. Assignments that are too similar (e.g., typed with the exact same answers only a different cover page for each student) will be considered copies and situations of academic misconduct. You need to demonstrate that you completed the work.
The entire assignment is worth 67points. It is only worth 10% of your entire grade. I am not expecting you to conduct outside research for this assignment and extraneous information will not help your grade (it may, in fact, hurt it if the information is wrong).
Round your answers to two decimal places (i.e. 6.05 or 0.87) unless otherwise specified. Be concise and answer the specific question only. The homework is designed to test your knowledge and ability to calculate and interpret demographic equations and values. It is not a research assignment.
You must answer all components. Include interpretations when specified. Include any formulas you use and show as much of your work as reasonably possible. If your final answer is incorrect you may still receive partial credit. You do not need to show every calculation but giving an example or two showing how you are plugging numbers into equations will help earn partial credit if necessary.
For this assignment you are going to calculate and interpret migration rates for Canada and select European countries. You will be using data from two (2) sources. For part 1 on Canada you will continue to use data from Statistics Canada. For part 2 on Europe you will use data made available by Eurostat, the statistical agency of the European Union. As usual, you must use footnotes to include a citation for each data source you use in this assignment.[footnoteRef:2] You should include functioning hyperlinks whenever possible. Note, there are many websites that gather this type of information (e.g IndexMundi). You cannot use these websites as your source. [2: You may not need a separate citation for each number entered into a table. For example, if several pieces of information came from one StatsCan Table you can add the reference after a number and specify in the other information obtained from the same table. Please include hyperlinks to the actual data when possible. StatsCan typically offers a recommended citation at the bottom of each table. You should use that whenever possible.]
Throughout the assignment you.
- The document discusses computing correlations between variables in R and interpreting the results.
- It provides an example of calculating the correlation between happiness and other life factors like friends and salary.
- The document uses real data from the World Happiness Report to explore correlations between variables like freedom to make life choices and confidence in national government. It finds a positive correlation between these two variables.
Similar to Exploring australian economy and diversity (20)
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...Social Samosa
The Modern Marketing Reckoner (MMR) is a comprehensive resource packed with POVs from 60+ industry leaders on how AI is transforming the 4 key pillars of marketing – product, place, price and promotions.
ViewShift: Hassle-free Dynamic Policy Enforcement for Every Data LakeWalaa Eldin Moustafa
Dynamic policy enforcement is becoming an increasingly important topic in today’s world where data privacy and compliance is a top priority for companies, individuals, and regulators alike. In these slides, we discuss how LinkedIn implements a powerful dynamic policy enforcement engine, called ViewShift, and integrates it within its data lake. We show the query engine architecture and how catalog implementations can automatically route table resolutions to compliance-enforcing SQL views. Such views have a set of very interesting properties: (1) They are auto-generated from declarative data annotations. (2) They respect user-level consent and preferences (3) They are context-aware, encoding a different set of transformations for different use cases (4) They are portable; while the SQL logic is only implemented in one SQL dialect, it is accessible in all engines.
#SQL #Views #Privacy #Compliance #DataLake
Build applications with generative AI on Google CloudMárton Kodok
We will explore Vertex AI - Model Garden powered experiences, we are going to learn more about the integration of these generative AI APIs. We are going to see in action what the Gemini family of generative models are for developers to build and deploy AI-driven applications. Vertex AI includes a suite of foundation models, these are referred to as the PaLM and Gemini family of generative ai models, and they come in different versions. We are going to cover how to use via API to: - execute prompts in text and chat - cover multimodal use cases with image prompts. - finetune and distill to improve knowledge domains - run function calls with foundation models to optimize them for specific tasks. At the end of the session, developers will understand how to innovate with generative AI and develop apps using the generative ai industry trends.
Predictably Improve Your B2B Tech Company's Performance by Leveraging DataKiwi Creative
Harness the power of AI-backed reports, benchmarking and data analysis to predict trends and detect anomalies in your marketing efforts.
Peter Caputa, CEO at Databox, reveals how you can discover the strategies and tools to increase your growth rate (and margins!).
From metrics to track to data habits to pick up, enhance your reporting for powerful insights to improve your B2B tech company's marketing.
- - -
This is the webinar recording from the June 2024 HubSpot User Group (HUG) for B2B Technology USA.
Watch the video recording at https://youtu.be/5vjwGfPN9lw
Sign up for future HUG events at https://events.hubspot.com/b2b-technology-usa/
Orchestrating the Future: Navigating Today's Data Workflow Challenges with Ai...Kaxil Naik
Navigating today's data landscape isn't just about managing workflows; it's about strategically propelling your business forward. Apache Airflow has stood out as the benchmark in this arena, driving data orchestration forward since its early days. As we dive into the complexities of our current data-rich environment, where the sheer volume of information and its timely, accurate processing are crucial for AI and ML applications, the role of Airflow has never been more critical.
In my journey as the Senior Engineering Director and a pivotal member of Apache Airflow's Project Management Committee (PMC), I've witnessed Airflow transform data handling, making agility and insight the norm in an ever-evolving digital space. At Astronomer, our collaboration with leading AI & ML teams worldwide has not only tested but also proven Airflow's mettle in delivering data reliably and efficiently—data that now powers not just insights but core business functions.
This session is a deep dive into the essence of Airflow's success. We'll trace its evolution from a budding project to the backbone of data orchestration it is today, constantly adapting to meet the next wave of data challenges, including those brought on by Generative AI. It's this forward-thinking adaptability that keeps Airflow at the forefront of innovation, ready for whatever comes next.
The ever-growing demands of AI and ML applications have ushered in an era where sophisticated data management isn't a luxury—it's a necessity. Airflow's innate flexibility and scalability are what makes it indispensable in managing the intricate workflows of today, especially those involving Large Language Models (LLMs).
This talk isn't just a rundown of Airflow's features; it's about harnessing these capabilities to turn your data workflows into a strategic asset. Together, we'll explore how Airflow remains at the cutting edge of data orchestration, ensuring your organization is not just keeping pace but setting the pace in a data-driven future.
Session in https://budapestdata.hu/2024/04/kaxil-naik-astronomer-io/ | https://dataml24.sessionize.com/session/667627
The Ipsos - AI - Monitor 2024 Report.pdfSocial Samosa
According to Ipsos AI Monitor's 2024 report, 65% Indians said that products and services using AI have profoundly changed their daily life in the past 3-5 years.
End-to-end pipeline agility - Berlin Buzzwords 2024Lars Albertsson
We describe how we achieve high change agility in data engineering by eliminating the fear of breaking downstream data pipelines through end-to-end pipeline testing, and by using schema metaprogramming to safely eliminate boilerplate involved in changes that affect whole pipelines.
A quick poll on agility in changing pipelines from end to end indicated a huge span in capabilities. For the question "How long time does it take for all downstream pipelines to be adapted to an upstream change," the median response was 6 months, but some respondents could do it in less than a day. When quantitative data engineering differences between the best and worst are measured, the span is often 100x-1000x, sometimes even more.
A long time ago, we suffered at Spotify from fear of changing pipelines due to not knowing what the impact might be downstream. We made plans for a technical solution to test pipelines end-to-end to mitigate that fear, but the effort failed for cultural reasons. We eventually solved this challenge, but in a different context. In this presentation we will describe how we test full pipelines effectively by manipulating workflow orchestration, which enables us to make changes in pipelines without fear of breaking downstream.
Making schema changes that affect many jobs also involves a lot of toil and boilerplate. Using schema-on-read mitigates some of it, but has drawbacks since it makes it more difficult to detect errors early. We will describe how we have rejected this tradeoff by applying schema metaprogramming, eliminating boilerplate but keeping the protection of static typing, thereby further improving agility to quickly modify data pipelines without fear.
1. TaskA:InvestigatingJob Vacancyand UnemploymentRateData
A1. Investigating the Population Data
Have a look at the resident population data. You will see many columns. We are
interested only in the total values for each state (marked "Persons"), so you can drop
the other columns and rename the columns for each state if you wish.
(HINT: The file isn't very big so you can make the changes in Excel if you want.)
1. In Python (or R) plot the population of Victoria, New South Wales and Queensland over time.
(HINT: You don't need to put the dates on the x-axis, just showing the index of each quarter is
fine)
a) Are the population values increasing or decreasing over time?
b) Does the population data exhibit a trend and if so, what type?
Answer: The below relation is obtained while tracing the count of the population for the three
states viz Victoria, New South Wales and Queensland over the time.
As the graphs are plotted it is evident that the count of the population is gradually increasing for the
three states over the time. Queensland has the least population among the three states while New
South Wales has the maximum population. The trend is linearly increasing one with a positive slope
over the time.
2. 2. Fit a linear regression using Python (or R) to the Victorian population data and plot the linear fit.
(HINT: In Python, you can use the "range (1, n)" function to generate a sequence of integer
values: 1, 2..., n)
a) Does the linear fit look good?
b) Use the linear fit to predict the resident population in Victoria for the dates: 1/9/15,
1/12/15, 1/12/16, and 1/12/17.
Answer: The values of the Victorian population is first scattered plotted and then linear regression is
applied on the data for best fit line. The linear fit looks definitely good. The graph is as follows:
The predicted population for the given dates are as below:
A2. Investigating the Job Vacancies Data
Now have a look at the job vacancies data.
1. Use Python (or R) to plot the job vacancy counts for Victoria over time. (HINT: Pandas contains
a "transpose ()" method and Excel can also be used to transpose data.)
a) What are maximum and minimum values for job vacancies in Victoria over time
period?
Date Population
1/9/15 5739516.54838
1/12/15 5979953.5504
1/12/16 6076128.35121
1/12/17 6172303.15202
3. Answer: The vacancy count of Victoria is plotted over time. The graph is as follows:
The maximum and the minimum values of the population are 71971 and 32322 respectively.
2. Fit a linear regression to the data and plot it.
a) Does it look like a good fit to you? Would you believe the predictions of the linear model
going forward?
b) Instead of fitting the linear regression to all of the data, try fitting it to just the most recent
data points (say from the 85th data point onwards). How is the fit? Which model would
give better predictions of future vacancies do you think?
Answer: Firstly, the linear regression is implemented on the total Victorian population data. Then
the linear regression is implemented on the 85th data onwards. The below graphs are obtained.
4. The line is definitely not a good fit. The data is arranged as a function of polynomial equation rather
than a linear one. In this case a linear fit line will not be able to provide correct estimations of the
data. Hence, the linear model based on all the data is not plausible for any prediction.
Choosing the data from the 85th row onwards provides a linear arrangement of data. In this
scenario, a linear fit line is desirable. As per the plotted graph, it can be seen that the line fits very
close to all the data linearly. Hence to predict a data WITHIN the time interval [85th Row] to [130th
Row], the second model suits the best.
However, to predict the FUTURE data, none of the above models fits best as it is evident from the
history value, the data shows linear trend (both positive and negative slopes) at certain intervals
only. It might be the case that the interval from the 131th row onwards shows a linear trend with a
downward slope. In this case, the second model fails as well, to predict the data correctly. Here,
regression using a polynomial model definitely holds an upper hand than the linear model.
A3. Investigating the Unemployment Data
Now have a look at the unemployment data.
1. Use Python (or R) to plot the Unemployment Rate for Victoria over time.
a) It looks like the rate has been very high at times in the past. What was the maximum
unemployment rate in Victoria recorded in the dataset and when did that occur?
Answer: Next Page (Contd.)
5. The maximum unemployment rate was: 12.5533377 during the year 1993 in the month of August.
A4. Visualising the Relationship between
Unemployment and Job Vacancies
Now let's look at the relationship between unemployment levels and job vacancies.
1. Python (or R) to combine the data from the different files into a single table. The table
should contain population values, job vacancy counts and unemployment rates for the different
dates and different States/Territories.
a) What is the first date and last date for the combined data?’
Answer: The first date and the last date for the combined data are as below:
2. Now that you have the data aggregated, we can see whether there is a relationship between
unemployment and the number of job vacancies. Plot the values against each other.
a) Can you see a relationship there?
Answer: The merged data is now used to plot the unemployment and the vacancy of all the states.
A scatter plot has been used instead of a line plot as the graph generated from the scatter plot is
more legible in this case. The graph is as below:
Argument Value
Min Date 2015/03/01
Max Date 2015/06/01
6. The above picture shows that the vacancies are quite high when the unemployment rate is between
4 and 6. However the graph fails to produce any meaningful insight. This can be due to the fact that
the plotted data contains vacancy rate and unemployment rate of all the States for all quarters in an
unstructured way, without any correlation among them.
An approach to deduce a more meaningful relation between unemployment rate and vacancies wou
ld be to group the cumulative values (for all states) based on each quarter. On plotting the data, it pr
oduces the following graph:
This graph clearly shows that the Vacancy and Unemployment has an inverse relation. As the Vacanc
y increases gradually the unemployment decreases. This is in accordance to the real-life scenario.
7. 3. Try selecting and plotting only the data from Victoria.
a) Can you see a relationship now? If so, what relationship is there?
Answer: Unlike the previous graph to establish relationship for all states, in this case, the
unemployment and the vacancy data is plotted against the state of Victoria only. The below graph is
obtained.
The graph correlates to the previous finding of grouped data. Here the Vacancy for the state of
Victoria is gradually decreasing as the Unemployment Rate grows. Noteworthy, the vacancies for the
state of Victoria are quite high and seemingly unaffected until the unemployment rate reaches the
value of 5.
4. The different populations across the states will influence the number of job vacancies in each.
Remove this effect by introducing a new column called 'Vacancy Rate' which contains the
vacancy count divided by the population size, multiplied by 100.
a) Is there a relationship between the unemployment rate and the job vacancy rate across all
the data?
Answer: The column is added to the source data. Now, the vacancy rate and the unemployment
rate are plotted for both type of data (Grouped and Ungrouped).
Next Page (Contd.)
8. Both the above methodology suggests that the Vacancy rate is inversely related to the
Unemployment Rate. The Vacancy Rate has clearly shaped the trend in to a more linearly degrading
form by omitting the effect of population count.
Mention worthy, in all the above cases the vacancies are not impacted by the unemployment rate
until it reaches a certain threshold unemployment rate of around 4.5
9. A5. Visualising the Relationship over Time
Now let's look at the relationship between unemployment levels and job vacancies
over time.
1. Use Python (or R) to build a Motion Chart comparing the job vacancy rate, the unemployment
rate, and the population of each state over time. The motion chart should show the job vacancy
rate on the x-axis, the unemployment rate on the y-axis, and the bubble size should depend on
the population. (HINT: A Jupyter notebook containing a tutorial on building motion charts in
Python is available here.)
Answer: The motion chart is in the video below:
2. Run the visualisation from start to finish. (Hint: In Python, to speed up the animation, set timer
bar next to the play/pause button to the minimum value.) And then answer the following
questions:
a) Which state generally has the lowest job vacancy rate?
b) Is the economy generally getting better or worse? I.e. was the Australian economy better in
2006/7 or 2014/5? Explain your answer.
c) Compared to the states, does the Northern Territory generally have higher or lower
unemployment and higher or lower job vacancy rates? What might cause this? Would it
make sense economically to move to NT?
d) According to the graph what happened at the end of 2008 and start of 2009? What might
have caused this?
e) Any other interesting things you notice in the data?
10. Answer:
a) Tasmania has the lowest job vacancy rate
b) A high unemployment rate does not necessarily mean a bad economy. Similarly, a lower
unemployment rate does not signify a strong economy. Australian economy is a benign
economy rather than a volatile one. If we look through the motion chart data, Australia
began with an average unemployment rate lower than 5% in 2006. However, the average
unemployment rate slipped more downward to around 4% until the end of 2008. Then from
2009 onwards a gradual rise in unemployment rate is observed between 5.5% to 7.0%. This
trend is continued until 2015. As per OECD, the rate of unemployment between 5.5% and
8.3% is good for an economy to thrive and sustain. Hence the data supports that the
Australian economy in 2015 is doing better than earlier and is getting stronger.
Reference: http://www.adamhoward.com.au/blog/2015/3/31/unemployment-when-is-it-
good-and-when-is-it-bad
https://www.focus-economics.com/country-indicator/australia/gdp
c) The Northern Territory have lower unemployment rate and higher vacancy rates than other
states. This might be due to the size of the population. Being one of the smallest state in
terms of population, most of the individuals are employed within the available opportunities
leading to lower unemployment rate. However, the demand for labour may not be
supplemented well by its population, thus creating more vacancies than others.
As we see the population of the state have not increased much, the unemployment rate has
remained more or less the same with reduced vacancies over the time period. This implies,
people from different states have already migrated to the state of Northern Territory, thus
filling up the vacancies. Compared to other states, Northern Territory did not have a higher
unemployment rate along with reduced vacancies. Hence it won’t be very economical to
move to the state.
d) At the end of 2008 and start of 2009 there was a spike in the unemployment rate. This might
be due to the fact that the world economy was hit with a major financial crisis, during this
period. The spike in the unemployment rate and the reduced vacancy rate is indicative of
the period of Great Recession.
e) New South Wales, Victoria and Queensland forms the major part of the Australian Economy.
11. TaskB:ExploratoryAnalysison BigData
B1. Summarising the Data
Load the InsuranceRates.csv data in Python (or R) and answer the following questions:
1. How many rows and columns are there?
2. How many years does the data cover? (Hint: pandas provide functionality to see 'unique'
values.)
3. What are the possible values for 'Age'?
4. How many states are there?
5. How many insurance providers are there?
6. What are the average, maximum and minimum values for the monthly insurance premium cost
for an individual? Do those values seem reasonable to you?
7. How much more on average do plans for smokers cost?
Answer:
1) There are 12694445 rows and 7 columns
2) The data covers 3 years: 2014, 2015 and 2016
3) The possible values of ages are: '0-20', 'Family Option', '21', '22', '23', '24', '25', '26', '27',
'28', '29', '30', '31', '32', '33', '34', '35', '36', '37', '38', '39', '40', '41', '42', '43', '44', '45', '46',
'47', '48', '49', '50', '51', '52', '53', '54', '55', '56', '57', '58', '59', '60', '61', '62', '63', '64', '65 and
over'
4) There are 39 states
5) There are 910 insurance providers
6) The aggregate values are:
The Max and Min values are not plausible as the values are too extreme on both ends.
Probably junk records.
7) Plans for smoker costs 88.90566067009055 more on average
Key Insurance Cost
Mean 4098.026458581588
Max 999999
Min 0.0
12. B2. Investigating Individual Insurance
Costs
Now let's look more in detail at the individual insurance costs.
1. Show the distribution of ‘IndividualRate’ values using a histogram.
a) Does the distribution make sense to? What might be going on?
Answer: The distribution of Individual Rate is shown below using a histogram:
The above histogram doesn’t make much sense due to the fact that the data for the distribution
consists of all the Insurance Rates. The majority of the Insurance rates are paid in the first bar while
a seemingly invisible outlier is observed at the end. The outlier cannot be a plausible value as the
Insurance Rates are too high to be true. To get a proper insight we must delve into the data of the
first bar.
2. Remove rows with insurance premiums of 0 (or less) and over 2000. (Use this data from now
on). Generate a new histogram with a larger number of bins (say 200).
a) Does this data look more sensible?
b) Describe the data. How many groups can you see?
Answer: The distribution of Individual Rate is shown below using a histogram:
Next Page (Contd.)
13. The histogram data makes more sense now as we can clearly see the distribution of different
Insurance Rates excluding the extreme values.
There are three groups of data in the histogram, which can be categorised into: Low, Medium and
High insurance rates. There are significantly large number of users who are paying a Low insurance
rates but have less options to choose from. For the Medium insurance rates, there is considerable a
widest variety of rates to choose from. There is a small spike in High insurance rates indicating that
there is a very small section of people paying at higher rates.
B3. Variation in Costs across States
How do insurance costs vary across states?
1. Generate a graph containing boxplots summarising the distribution of values for each state.
a) Which state has the lowest median insurance rates and which one has the highest? (Hint:
you may need to rotate the state labels to be able to read the plot.)
b) Is there much variation in costs across states?
Answer: The insurance rates for the various states are shown in the below graph via box plots.
Next Page (Contd.)
14. The state of ‘MO’ has the least median insurance rates while ‘AK’ has the highest median insurance
rate. There is not much variation in the median insurance rates across each state. Most of the states
have similar median insurance rate, close to between 250 and 350 [approximated]. However, on
inspecting the outliers it can be seen that there is a wide variation in the price of highest insurance
rate across different states. For example, the highest insurance rate in the state of ‘HI’ is around
1000 and that of NC is around 1800.
2. Does the number of insurance issuers vary greatly across states?
a) Create a bar chart of the number of insurance companies in each state to see. (Hint: you will
need to aggregate the data by state to do this.)
Answer: The number of insurance companies are plotted in the graph below:
Next Page (Contd.)
15. The bar graph clearly shows that the state of ‘TX’ has the highest number of issuers and the state of
‘HI’ has the least number of issuers. The graph depicts that the number of issuers across states in the
descending order does not vary greatly against each other.
3. Could competition explain the difference in insurance premiums across states?
a) Use a scatterplot to plot the number of insurance issuers against the median insurance cost
for each state.
b) Do you observe a relationship?
Answer: The scatter plot is plotted between median insurance rates and issuer count. The relation is
as below:
16. In every state, there is a strong competition amongst insurance issuers where the insurance rate is
close to between 250 and 350 [approximated]. Most insurance issuers are providing insurances in
the previous mentioned rates with minute differences than that in the other state, attracting various
customers as per their need. Insurance rates above 350 and below 250 holds minimum competition
across insurance issuers across various states.
B4. Variation in Costs over Time and with
Age
Generate boxplots (or other plots) of insurance costs versus year and age to answer
the following questions:
1. Are insurance policies becoming cheaper or more expensive over time?
a) Is the median insurance cost increasing or decreasing?
Answer: The insurance cost is plotted over the year, yielding the below boxed graph:
The box plot shows that the median of the insurance cost is more or less same over the years. Also,
it can be seen that there is a gradual increase in the number of high insurance rate policies over the
years. However, on closer analysis, the median can be found to be gradually increasing as well by a
little margin. The values are as follows:
Year Median
Rate
2014 299.31
2015 307.51
2016 317.37
17. Hence it can be assumed from the above data that the insurance policies are becoming expensive
over time.
2. How does insurance costs vary with the age of the person being insured? (Hint: filter out the
value 'Family Option' before plotting the data.)
a) Do older people pay more or less for insurance than younger people? How much more/less
do they pay?
Answer: The insurance cost is box plotted against each age and the below graph is obtained:
From the graph, it is clearly evident that the older people pay at a higher insurance rate that the
younger people. The younger people [age: 0-20] pay an average insurance rate of 122.333209 while
the older people [age: 65 and over] pay an average insurance rate of 584.594017. Thus, on an
average the older people pay 462.26 more than the younger people.
TaskC:ExploratoryAnalysison Other Data
Find some publicly available data and repeat some of the analysis performed in Tasks
A and B above. Good sources of data are government websites, such as: data.gov.au,
data.gov, data.gov.in, data.gov.uk, ...
Data source: “All STATS19 data (accident, casualties and vehicle tables) for 2005 to
2014 in England” [Download the data here]
C. Summary and Analysis:
The number of accidents are plotted against each day of the week.
Next Page (Contd.)
18. It can be seen the more number of accidents are during the start of the weekend i.e. on Friday while
the least number of the accident is on Sunday. This might be due to the fact that a large section of
the crowd prefers to return home after Friday night recreation/party leading to higher number of
accidents. While on Sunday most prefers to stay at home reducing the number of accidents.
The total number of accidents have gradually decreased over the years, however 2014 saw an
increase in the number of accidents.
19. The number of Fatal injuries have been consistent over the years. However, the count of the least
severe injuries has gradually reduced over the years.
Below graph shows the top 20 UK cities with maximum number of accidents:
Clearly Birmingham, Leeds and Manchester accounts for the most number of accidents in UK and
thus would definitely require a higher number of Police than other districts.
20. The following visualisation provides the number of accident calls handled by each department of the
police in UK.
The Metropolitan police, West Midlands, Greater Manchester departments of police has served the
top three most numbers of accident cases over the years. The higher number of Metropolitan police
21. is due to their operations in all the suburbs around London that shares a considerable amount of
accidents every year. However Birmingham may require more police force to address the high
number of accidents (analysed later).
Finding the root cause to the accidents, analysis is done on the Light Conditions for the top 20
accident prone districts.
Accident due to NO LIGHTING:
22. This box plot clearly shows that there is a high number of accidents in the districts of Doncaster,
Edinburgh, Leeds and Sheffield due to NO LIGHTING. This insight can be used to put more lights
across the streets in those districts to reduce similar accidents.
Accident due to LIGHTS UNLIT:
The above graph shows that the district of Edinburgh, Bristol, Glasgow and Birmingham had more
accidents than others due to unlit lights. The most impacted district is Edinburgh. These 5 districts
require repair in their road lighting service to prevent similar accidents.
In all the city of Edinburgh is most impacted by darkness leading to accidents. The analysis shows
that the city of Edinburgh needs most focus on street lighting than others, by the district
administrators.
23. The above histogram shows distribution of the age over the number of accidents. The spread depicts
that drivers close to the age of 30 and 47 have most numbers of accidents. Teenagers are the third
most group of drivers in the distribution causing accidents.