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# Report Writing

 12 Putting it all together You will be given a data set with quantitative and qualitative variables. Spend time researching and making wise variable choices that will allow lots of quality discussion when you do your report. QUALITY not dribble. A report any longer than 6 sides probably contains irrelevant waffle. How to reference research (link to magsmaths.com) Ensure you are familiar with 1) Generic Assessment Instructions 2) Guidelines for the PPDAC cycle and Achieve / Merit / Excellence 3) Data Sets for practice Class Practice Assessment Complete an investigation on volcanic islands The investigation is to be written as a report including: 1. An Introduction: Aim, Research Question, Definition of variables etc. Evidence of research into the variables, relationship & context Hypothesize & make a prediction as to possible relationships Identify if variables are 'associated' or 'explanatory' and 'dependent' 2. Make Scatter-plot’s to investigating any relationship. Discuss the relationship: type, association, strength, features. TASGUS 3. Model (Linear) Discussed & interpreted in context Calculate and discuss the correlation coefficient 'r' Investigate the effects of groups and outliers. Interpolate and extrapolate data values. 4. Discussion Possible assumptions, limitations, improvements, bias, and other models are possible? 5. Conclusion ARSE Answer the Research Question Research – Relate your findings to some research you have done Summarise your findings Evaluate the process NZQA annotated exemplars 3.9 A | 3.9 A (Excel) | 3.9 B | 3.9 B data (Excel) (links to TKI resources) AIS  p116 Ex 14.03 Sigma Example pg 299, answer p300 Excel data McD's unit on Census & School | NZ incomes | Data sets with source and variable info for investigations. (and other data sets) Quizlet on Scatterplots & Correlation Class Exemplar: Hawai'i Island Chain: Data csv, Information page | Google Doc write up Class Exemplar: American New Cars 1993 Data csv, Information pdf | Google Doc write up Booklet pg 16 CHECKLIST

# 2) What is expected in your report

### (based on the PPDAC cycle) This information in word version

(1) Pose a Question (Introduction)

Achieve
- Investigate the relationship between two variables.
- Define the variables (and units)
- Describe the purpose for the investigation.
- Some reference to own research done (could be inferred)
- Comparative Research Question.

Merit / Excellence (Achieve and...)
- Make a prediction / hypothesis and justify your reasoning.
- Variables explained & researched.
- Consider several pairs of variables

How to reference research (link to magsmaths.com)

(2) Plan / Data

Achieve
Intentions stated for investigation

Merit / Excellence (Achieve and...)
- Is the data representative of the population?
- Assumptions \ issues
- Issues of sample size
- Scatter plot matrix discussion
- Explain the reasoning behind choice of variable.

(3) Display & Analysis

- Scatter plots (with labels)
- Correlation coefficient 'r'
- Equation(s) of trend line(s)

(extension) Calculation and graph of Residuals.

(4) Discussion

Achieve
Scatter plot:
- Correct variable placement
- Describe in context what the scatter plot shows (state the obvious)
- Trend. Linear or non-Linear and reasons why?
- Association. Positive or Negative and reason why?
- Strength. Weak, Moderate, Strong. Discussion of 'r' and reason why?
- Groups or clusters. Investigate possible reasons or causes.
- Unusual Values (any worth noting)
Discussion of the fit of the data through the range of 'x'

Merit & Excellence (Achieve and... )
- Justification of variable placement on scatter plot(s)
- Investigation into other groups or variable combinations
- Discussion of scatter plots of different scatter plots (variable combinations or groups)
- Identify and investigate outliers.
- Test robustness of model or effect of unusual values.
- Investigate alternative models.
- Predictions made, with discussion on precision.
- Choice of values to predict explained and relevance to wider population
- Interpretation of trend line gradient in context
- Discussion of the number of data points analysed
(extension: Residuals)

(5) Conclusion

Achieve

Merit & Excellence (Achieve and... )
- Compare findings to research.
- Discuss other factors worth considering.
- Discuss other relationships worth considering

Notes:

Background information related to the data set will be provided. There should be sourcing of relevant contextual knowledge about the situation under investigation from places such as the internet, the school or local library, newspapers and magazines. These sources should be referenced in their report.

# Practice Data Sets

Progress check: Long jump data set

Progress check: Internet/GDP data set (Achieve & Merit - includes interpolation & extrapolation)

Analyse the Life Expectancy data

"Achieving in Statistics" by W. Geldof data sets. Practice Assessments, gradually becoming more self-directed.
If you have purchased the book from the student office for \$16 you can have your very own answers and check your progress.

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Data Sets: StatSci.org | StatSci.org multivariate | Data Story Library | ConnectMV