The aim of this project is to find out which factors affect the selling price of a house.

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Maths Coursework

Introduction

The aim of this project is to find out which factors affect the selling price of a house. I have been given four districts, and in each there are four streets. In each of the 16 streets there a number of houses which the previous factors effect and result in a different house price. In the data presented I have found several rogue results (results that do not fit in with the rest of the results). If these were to be kept, the results would be biased and so these rogue items must be removed. The rogue items were £475, 000 in house price, 13,000 in squared ft and 20 in number of bedrooms. They are too large to fit in with the other data. The ranges (highest – lowest values) where £161, 800 in house price, 2900 in square ft and 6 in number of bedrooms. 27% of the homes had a large garden, 62.5% had a small one and none was 10%. In Garages 68% had a garage and 32% didn't.

In order to get an idea of the nature of this data I have been given, I will divide Price into suitable groups and draw a histogram. Then I will make a cumulative frequency table and draw a cumulative frequency curve. I will then state my median and the inter-quartile range for my cost, as outliers do not affect them.

Out of the fields given, some of these affect the price of the houses. The fields that will affect the house price are if the house has a garden, if the house has a garage, the number of bedrooms in a house and the area (square ft) of a house. The field that will not affect house price is house number.

The fields in order of importance are, number of bedrooms, area (sq ft) of a house, if the house has a garden, if the house has a garage and finally house number which has no importance at all.

My main Hypothesis is that “Price will be affected by some factors”

Plan

I am going to investigate the correlation between price and no of bedrooms in one street and one district (Arlington, Primrose Street).  This is so that all other variables will remain constant.

Then I will make a sample to make it more manageable, it will contain even amounts on all four streets so that it’s not biased, and isn’t biased to any district or street. After this I will draw a histogram and cumulative frequency for the population and sample then I will compare my results.

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I will then draw several box plots for the price for each district to see if my data is valid, this could affect my observations.

After this I shall draw several scatter graphs, and I will analyze the correlation, each will be named and have a line of best fit and equation for the line presented.

First Hypothesis

I expect that as the number of bedrooms increase; the price will increase accordingly, the correlation will be therefore positive.

The reason in taking one district and street is because when the houses are in the ...

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