Reference no: EM132633538

AS91580 Mathematics and Statistics - Kavanagh College

Introduction

The National Environmental Standards for Air Quality are regulations made under the Resource Management Act 1991. They set a guaranteed minimum level of health protection for all New Zealanders by limiting harmful air pollutants and toxic gases in the air. New national compliance targets were introduced in September 2016. They currently state that there can be only three high pollution nights each year. From 2020, this will be reduced to one night. Historically the city of Christchurch has had high levels of air pollution and has exceeded the 3 high pollution nights. In 2017, Christchurch had already exceeded new annual air quality targets just four weeks into winter.

This activity requires you to investigate the air quality and weather conditions for Christchurch. Background information on this task has been provided for you in the Resource Sheet.

BIVARIATE INVESTIGATION: Section 1

This activity requires you to use the statistical enquiry cycle to carry out a bivariate data investigation into the given data set to determine if there is a relationship between at least one pair of variables, and to create a report or presentation of your findings.

1. Familiarise yourself with the data set provided. This will include doing research to help you understand the variables and develop a purpose for the investigation.

2. Pose an appropriate relationship question that can be answered using variables in the data set.
The variables you choose must be numerical, and the variable you use as your response variable must be continuous. You may choose to investigate more than one pair of variables. Select appropriate display(s) to graph your data.

3. Identify features in the data, including the nature and strength of the relationship.

4. Find an appropriate model.

5. Use your model to make prediction(s) for your response variable (using your explanatory variable).

6. Write a conclusion answering your question.

7. Support your conclusion by referring to your analysis and/or features of the visual display(s). Include a reflection on your process, which could consider other relevant variables, or evaluate the adequacy of your model(s).

Task

1. Familiarise yourself with the data set provided. This should include doing further research to help you understand the variables and to develop a purpose for the investigation.
2. Select at least one of the variables to investigate over time.
3. Select and use appropriate display(s) to graph your data.
4. Describe features in the data and relate these to the context.
5. Find an appropriate model.
6. Use your model to make a forecast.
7. Write a conclusion. Support your conclusion by referring to your analysis and/or features of the visual display(s). Include a reflection on your process, which could consider other relevant variables, an evaluation of the adequacy of the model, consideration of the validity of your forecast, and display a deeper understanding of the model.

Resource Sheet
You will be required to carry out a statistical investigation into the air quality and weather conditions of Christchurch.

You should be sourcing relevant contextual knowledge about the situation under investigation. Sources could be informed personal experience supported by conversation with relevant stakeholders, other primary sources, publications, internet sites, other media. These sources should be referenced in your report.

Assessment

Introduction (Problem, Plan)

Features of the Scatterplot (Data/Analysis)

Fitting the Model

Appropriateness of the Model

Predictions (including accuracy and reliability)

Refinements to the Model

Conclusion & Evaluation

Bibliography

Attachment:- Mathematics and Statistics.rar