# Sample Statistics Paper on Statistical Models

You are a real estate analyst and are required to create an appropriate statistical model for investigating how, and why, London House prices change.

1. Select five or six independent variables (x1, x2, x3 , x4, x5, x6) which will form the basis of your model. Justify the inclusion of your independent variables by engaging with academic references. The dependent variable (y) is average London house prices.                              (10 marks)
• The justification does not have to be specifically for London independent variables. The justification can be general.

1. Obtain data sets on your chosen variables from 2000 to 2020 (or 2021 if you can get it) and input your data using the Excel Analysis ToolPak software. Present that data.               (10 marks)
• The actual data of the independent variables would have to be specifically for London.
• You could try the National Statistics Office, the Financial Times, or the Mayor’s Office.

1. Run a multivariate regression on average London House prices (y) and your chosen independent variables. Produce a regression analysis using Excel’s Analysis ToolPak software—settle on at least three (x1, x2, x3) from your original five or six. You can adopt an iterative approach by removing some variables and replacing them with others.  (30 marks)
• The objective here is to find the strongest regression in terms of maximizing R2, while passing the F and the t tests.

1. Using your regression results, compose a management report that:
• critically analyses the explanatory power of your chosen independent variables on average house prices
• provides suggestion for management decisions—what are the implications for real estates management of how London house prices change according to the independent variables you settled on in 3?
• For example, you could say that, previously, decision-makers have focussed on x5, yet the regression suggests that the impact of this variable on y is rather limited. So decision-makers should focus on the impact of other independent variables.
• Also, on the basis of your regression in 3), you could try to predict how London house prices will develop in the near future, and why.

(50 marks)

Guidance

• your report should include an introduction and a conclusion, but NO executive Summary or Abstract
• Charts or graphs should be in the body of the report, instead of in the appendix
• in-text referencing is required in the Harvard style
• do not simply add references to the main text; instead, you must engage with what the authors say in relation to the assignment tasks
• in your reference list at the end, only list the sources that you actually used in the main text
• Question 4 has key words, that is, “critically analyse” and “provide suggestions”. This means that simply relaying facts and information will be insufficient.
• To assess the Learning Outcomes above, marks are awarded for the extent to which you address the questions; therefore, do not simply describe “what happened”, which substantially differs from a critical discussion.
• Avoid personal opinions and unsubstantiated claims. Therefore, engage with what the references say in relation to the questions. This helps you to justify and substantiate. To do so, use Author (year) as part of your sentence structure alongside simply adding (Author, year) to the end of a sentence.