Reference no: EM133803201

Statistics for Business Decisions

Purpose of the assessment

Students are required to show understanding of the principles and techniques of business research and statistical analysis taught in the course.

Integrate theoretical and practical knowledge from the discipline of Statistics for Business Decision Making to solve business needs;

Synthesise advanced theoretical, practical knowledge from the discipline of statistics for business decision and be able to apply statistical tools and techniques to solve business problems;

Critically analyse a scenario and apply and justify statistical techniques to solve business problems and the explain the results to a range of stakeholders.

Work well autonomously as well as within group settings to identify and apply statistical solutions to a business scenario

PART A
Assume your group is the data analytics team in a renowned Australian company. The company offers its assistance to a distinct group of clients, including (but not limited to) public listed companies, small businesses, and educational institutions. The company has undertaken several data analysis projects, all based on multiple regression analysis. One such project is related to the real estate market in Australia, and the team needs to answer the following research question based on their analysis.

Research question:
How do different factors, such as the size of the land, the number of bedrooms, the distance to the nearest secondary school, and the number of garage spaces, influence the selling price of residential properties?

Task

Create a data set (in Excel) that satisfies the following conditions. (You are required to upload the data file separately).
Minimum number of observations - 100 observations.
The data set should be based on houses sold from 01/07/2024 onwards. (To verify the data set, you are required to add a hyperlink to each property's details from the real estate websites that you used.)

Question 1: Conduct a descriptive statistical analysis in Excel using the data analysis tool. Create a table that includes the following descriptive statistics for each variable in your data set: mean, median, mode, variance, standard deviation, skewness, kurtosis, and coefficient of variation.

Question 2: Provide a brief commentary on the descriptive statistics you calculated. Describe the characteristics of the distribution for each variable based on these statistics.

Question 3: Create an appropriate graph to illustrate the distribution of the number of bedrooms in your data set.

Question 4: Derive a suitable graph to represent the relationship between the dependent variable and the land size in your data set and comment on the identified relationship.  Hire Tutor Now!

Question 5: Based on the data set, perform correlation analysis, and based on the correlation coefficients in the correlation output, assess the correlation between explanatory variables and check for the possibility of multicollinearity.

Part B
Assume your group is the data analytics team in a renowned Australian company (CSIRO). You are given the dataset derived from their recent research. This data compiles fortnightly observations of Logan's Dam, a small body of water located near Gatton, in Southeast Queensland. It consists of measurements taken by CSIRO and the Urban Water Security Research Alliance with the intention of measuring the impact of the application of an evaporation-reducing monolayer on the dam's surface.
The measurements recorded indicate the biomasses present (P.plankton and Crustacean) in the dam, chemicals present in the dam (Ammonia and Phosphorus) , as well as more general measures of water quality such as pH and temperature.

Research Question:
What are the factors (variables) that significantly impact on the health of the dam in relation to water Turbidity, and what measures should be taken to ensure its effective maintenance?

Task
Note: Refer the data given the excel file "HIM6007 T3 Dam_Water_Quality_Dataset"

Based on the data set, perform regression analysis and correlation analysis, and answer the questions given below. (Hint: Turbidity as dependent variable)
Derive the multiple regression equation.
Interpret the meaning of all the coefficients in the regression equation.
Interpret the calculated coefficient of determination.
At a 5% significance level, test the overall model significance.
At a 5% significance level, assess the significance of the independent variables in the model.
Based on the correlation coefficients in the correlation output, assess the correlation between explanatory variables and check for the possibility of multicollinearity.

PART C
Based on the answers in PART A above, write a summary of your analysis addressing the research question (100 -150 words).
Based on the answers in PART B above, write a summary of your analysis addressing the research question (100 words).