SUBJECT : APPLIED PROBABILITY AND STATISTIC

You address some questions that interest you with the statistical methodology in Topic $1($Descriptive

Statistics$)$ or Topic $2($Correlation and Regression$).$ You choose your own topic; you decide how to collect

the data and do the analysis. You are required to choose only ONE of the topics. You may follow the

general steps below.

Topic $1$: Descriptive Statistics General Outline

i$)$ Introduction: Identify the objectives or problem statement

You must clearly state the problem or issue and the objectives of the study.

ii$)$ Decide on the method of data collection

You are required to use secondary data only. Provide a brief description about your dataset

$($Source of dataset, URL, description of variables in the data set and sample size$).$

iii$)$ Classify and summarise the data

Use Microsoft Excel or any appropriate statistical tools to organize, classify and summarise the

data according to their characteristics or attributes.

iv$)$ Present, analyse and interpret the data

Use Microsoft Excel or any appropriate statistical tools to perform the descriptive statistics for

the data including measures of central tendency and measure of dispersion.

Plot the suitable graph and determine the shape of data distribution. Give your comment on

your findings.

Which of the measures of central tendency do you think best describes your data? Why? Do your

analyses support your expected findings? Explain.

v$)$ Conclude your study.

What conclusions, if any, do you believe you can draw as a result of your study? If the results

were not what you are expected, what factors might explain your results? What did you learn from

the project about the population you studied? What did you learn about the research variables?

What did you learn about the specific statistical analysis you conducted?

Topic $2$: Correlation & Regression General Outline

i$)$ Introduction: Identify the objectives or problem statement

You must clearly state the problem or issue and the objectives of the study.

ii$)$ Decide on the method of data collection

You are required to collect the secondary data. Provide a brief description about your dataset

$($Source of dataset, URL, description of variables in the data set and sample size$).$

iii$)$ Classify and summarise the data

Use Microsoft Excel or any appropriate statistical tools to identify the statistical procedures you

used to analyze your data. Give relevant design details $($e$.$g$.,$ which variable was selected as the

explanatory variable, and which the response variable? Why? What type of correlation did you

expect? And so on$.).$

iv$)$ Present, analyse and interpret the data

Use Microsoft Excel or any appropriate statistical tools to perform the analysis for the data.

Report the results of your analysis; include items below.

a$)$ Scatter plot with a graph of the regression line

b$)$ Value of the correlation coefficient $r$ and interpretation of its meaning

c$)$ Equation of the regression line

d$)$ An example of a prediction using the regression equation

e$)$ Discussion of the slope of the regression line and its meaning

f$)$ Value of R$2$ for the regression model and interpretation of its meaning

Interpret the results of your statistical analysis in the context of your original research question. Do

your analyses support your expected findings? Explain.

v$)$ Conclude your study.

What conclusions, if any, do you believe you can draw as a result of your study? If the results

were not what you expected, what factors might explain your results? What did you learn from the

project about the population you studied? What did you learn about the research variables? What

did you learn about the specific statistical analysis you conducted?