correlation and regression Interdisciplinary unit
Overall Expectations
Review and extend previous understandings of statistics including displaying data in tables and graphs Review, develop and select appropriate measures of central tendency and spread to analyse information and draw conclusions Analyse data and information and use the results to draw conclusions/extrapolate/interpolate in a variety of meaningful contexts Construct scattergraphs and find correlation coefficients to draw conclusions
Conceptual Framework
relationships change model pattern in the context of Fairness and Development
Statements of Inquiry
Human development can be understood and possibly improved by examining relationships in health and development
Factual
How do we analyse data sets?
How do we examine relationships between measures of health and development?
Conceptual
How is spread is quantified?
How can claims be made based on statistical data? (How sure are we of such claims?)
Debatable
Are measures of human development culturally biased?
Description
The focus of this unit will be on statistical techniques involving the collection, representation and analysis of data sets, with a particular focus on variability (change). Students will review univariate and bivariate sampling techniques in order to collect reliable data, use statistical diagrams and tables to organize, measure and represent the data; then students will learn how to analyze the spread of univariate data sets, using standard deviation, and make inferences based on their results. Students will then extend their knowledge of variability in order to compare two data sets to test how the change in one variable affects the change in another (i.e the correlation). Students will investigate the use of various forms of technology to represent data and develop models to analyze the correlation between bivariate data. The unit will culminate in students undertaking an interdisciplinary task in which students will investigate statistical method to collect, present, model and analyze a bivariate data set in the context of fairness in global development.
Learning Outcomes
Construct appropriate diagrams to display data both discrete and continuous data
Calculate mean, median and mode from a set of scores
Determine which measure of central tendency best represents a data set
Determine which measure of central tendency to use to argue a case
Construct a frequency distribution with headings score, tally, frequency, cumulative frequency
Estimate the mean, median and modal class from a grouped frequency distribution manually and with a calculator
Construct and estimate the quartiles from a cumulative frequency diagram
Explore the concept of standard deviation and use it to compare and interpret variability between similar data sets
Calculate the standard deviation by hand and by using a graphical display calculator (GDC)
Construct a scatter graph using excel and a GDC
Find the correlation coefficient using excel and a GDC, and state its significance
Construct a line of best fit using excel and a GDC
Find and interpret the equation of a line of best fit using excel and a GDC
Use the line of best fit to interpolate and extrapolate, indicating the reliability of each technique
Investigate outliers and decide their relevance to a particular data set