Quantitative Methods - Hypothesis Testing - Buying Property - Statistics Assignment Help

Assignment Task:

Task #1: Market conditions 

Your client would like to know more about the market conditions about the real estate market in Melbourne (including all suburbs). Please provide the time series graphs for quarterly sale volume (the number of sold properties) as well as mean and median sold price for the 2016- 2018 period. 

Has the average property price increased in the first quarter of 2018 compared to the last quarter of 2017? 

Have the mean and median property price increased in the first quarter of 2018 compared to the first quarter of 2017? Which measure (mean or median) is more suitable to use to describe the property price evolution? 

Discuss the results, including the limitations of the tests. 

Task #2: Descriptive statistics 

Discuss briefly your sample, including the number of observations, outliers. Provide the descriptive statistics of the sample. How you choose to do this is entirely at your discretion. However, it is recommended that you consider using both summary statistic and graphical methods while also noting any peculiarities within the data set. In addition, your client would like to see: 

• the histogram of the sold price for the entire sample1 

• and the histograms of sold price for the year 2016 and the year 2017 on the same figure. 

Task #3: Property price estimation 

Your client would like to purchase the following property: 

• Suburb: Balwyn North 

• Distance: 9.2 

• Rooms: 4 

• Type: House 

• Car: 2 

• Bathroom: 3 

• Landsize: 700 

• BuildingArea: 220. 

You are expected to build a regression model of house prices. In doing so, make sure that you use an appropriate number of predictors to develop your estimates. Once you have constructed an appropriate model, use it to obtain: 

• A point prediction of the expected property price 

1 You may refer to the textbook on how to determine the optimal bin width. 

• A 90% interval prediction for this price. 

Discuss the significance of the independent variables in your model. Suppose your client is flexible and he can drop the requirement for house are to be 220 sq. meters. Please compute: 

• A point prediction of the expected property price 

• A 90% interval prediction for this price. 

Compare the obtained results with the previous findings. 

Your client’s friend is a builder, and he told your client that it is possible to extend a 3-bedroom house to a 4-bedroom house for $150,000. Would you recommend your client to buy a 3- bedroom house and then renovate it rather than to buy a 4-bedroom house (assuming that after renovation the 3-bedroom house will become equivalent to a 4-bedroom house)? 

Your client expects that property price increases with the number of rooms (controlling for many other factors) and would like to know whether this positive relation is impacted by the number of bathrooms. 

Task #4: Hypothesis testing

You client hear that property prices in Brighton are higher than in Balwyn North. Develop the appropriate hypotheses and test them using t-test and regression analysis. Discuss the results. 

Task #5: Buying property

Your client would like to know whether property price depends on the sale method. Would you recommend your client to purchase property prior to the auction, or in the auction, or after the auction, given the empirical data? 

Your client has been told that large real estate agencies are able to sell properties at higher prices. You are asked to check this statement. Assume the following agent types: 

• big (market share over the sample period in terms of number of sold properties >= 6%) 

• medium (1% <= market share over the sample period in terms of number of sold properties < 6%), and 

• small (market share over the sample period in terms of number of sold properties < 1%). 

Would you recommend your client to take into account the agent type when buying the property? 

Task #6: Limitations of the analysis

Discuss the limitations of the analysis and how they affect your recommendations to your client. 

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