# RECORD 309364b6d8361dba9a9e751b55ade4c452cd784b # TITLE: The research of influence factors that possibly lead to the change in house prices # YEAR: 2023.0 VENUE: Theoretical and Natural Science DOI: 10.54254/2753-8818/14/20240926 # AUTHORS: Yi-Xiao Huang # PAGES: 7 CANDIDATE TABLE PAGES (1-based): [3, 6] # ABSTRACT: With the significant increase in housing prices, more research on the factors that influence housing prices is urgently needed. Most of the previous research focuses on the number data, such as the average disposable income of the population, property management fees, and the total number of the population in specific areas. In this research, the multiple linear regression model is used to judge the relationship between 10 independent variables (Carpet area, Floor, Total floor, Transaction, Furnishing, Facing, Bathrooms, Balconies, Car parking, and Ownership) and the amount of housing prices based on 910 cases. It is concluded that the ten independent variables all have strong linear relationship with the Amount. With the factors that were studied before, like the ages of the house and the policy for buying homes, these studies indeed give some ideas for the government to come up with the approach to control the increase in housing prices. ===== PAGE 1 (score 11, numeric-paren 0, table-words 0, var-words 11) ===== The research of influence factors that possibly lead to the change in house prices Yixiao Huang HuaZhong University of Science and Technology, 430074, China u202316281@hust.edu.cn Abstract. With the significant increase in housing prices, more research on the factors that influence housing prices is urgently needed. Most of the previous research focuses on the number data, such as the average disposable income of the population, property management fees, and the total number of the population in specific areas. In this research, the multiple linear regression model is used to judge the relationship between 10 independent variables (Carpet area, Floor, Total floor, Transaction, Furnishing, Facing, Bathrooms, Balconies, Car parking, and Ownership) and the amount of housing prices based on 910 cases. It is concluded that the ten independent variables all have strong linear relationship with the Amount. With the factors that were studied before, like the ages of the house and the policy for buying homes, these studies indeed give some ideas for the government to come up with the approach to control the increase in housing prices. Keywords: Housing Prices, Multiple Linear Regression Model, India, Influence Factors. 1. Introduction The 2020 Chinese government report emphasized safeguarding the public’s access to housing. Real estate is one of the motivations for developing economics due to its status as a pillar industry. Based on the real estate revolution background, housing prices have experienced rapid growth [1]. Between 2003 and 2013, there was a significant rise of around 13% in housing prices in China’s first-tier cities, while second and third-tier cities saw growth rates of 10.5% and 7.9%. These surpassed those in the US and Japanese real estate bubbles [2]. Meanwhile, some foreign researchers found that there was also a considerable increase in the housing prices in their country [3]. Simultaneously, there are many problems with the increasing housing prices. For instance, most youth cannot afford to buy a house, even an apartment. The issue of high housing prices and low income has become a challenge in urbanization worldwide and has attracted close attention from society, government, and academia [4]. Therefore, this essay aims to gain insights into the housing market dynamics and try to aid buyers, sellers, and real estate professionals in making informed decisions using the dataset found in Kaggle. In addressing the issue of rapidly rising housing prices, it is significant to understand the real estate market scientifically and implement relevant policies to ensure stable development of housing prices. Understanding the factors that influence house prices and their relationships is essential. The reasons behind the rise in housing prices are intricate. When studying the factors that affect the price of residential properties, researchers typically consider a range of variables. These may include location characteristics, building attributes, and the overall residential environment. Researchers may also Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics DOI: 10.54254/2753-8818/14/20240926 © 2023 The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (https://creativecommons.org/licenses/by/4.0/). 158 ===== PAGE 3 (score 23, numeric-paren 0, table-words 5, var-words 11) ===== 2.2. Variable selection The data used in this paper count a total of 910 cases, including the house prices from 780 thousand rupees to 18200 thousand rupees. The data contains 11 variables: Amount (in rupees), Carpet area, Floor, Total floors, Transaction, Furnishing, Facing, Bathrooms, Balconies, Car parking, and Ownership. Table 1 shows the interpretation of each variable. Because some variables are presented in text form, and it is difficult for us to study, this essay changes the text form into numbers, and the corresponding numbers are shown in Table 1. Table 1. Logogram and interpretation of the 11 factors. Elements Logogram Interpretation Carpet area x1 The area that can be used. Unit: square feet Floor x2 The floor the home is in Total floors x3 The total floor of the building that the home is in Transaction x4 Whether the home is “Resale” or “New property”. “Resale” takes 0, “New property” takes 1 Furnishing x5 The condition of furnishing. “Unfurnished” take 0; “Semi-furnished” takes 1; “Furnished” takes 2 Facing x6 “East” takes 0; “West” takes 1; “North” takes 2; “South” takes 3; “South - West” takes 4; “North - East” takes 5; “North - West” takes 6; “South - East” takes 7 Bathrooms x7 The number of bathrooms Balconies x8 The number of balconies Car parking x9 “1 Open” takes 0; “1 Covered” takes 1; “2 Open” takes 2; “2 Covered” takes 3 Ownership x10 “Freehold” takes 0; “Co-operative Society” takes 1; “Power Of Attorney” takes 2; “Leasehold” takes 3 Amount y The total price of the home Table 2 shows some statistics about the variables, including the mean, the variance, the maximum, and the minimum. Table 2. Summary statistics of each variable. Elements Logogram mean variance maximum minimum Carpet area x1 1098.18 1284995.59 1820 78 Floor x2 8.09 32.51 18 1 Total floors x3 14.69 67.68 38 1 Transaction x4 0.25 0.19 - - Furnishing x5 0.61 0.59 - - Facing x6 0.65 2.27 - - Bathrooms x7 2.81 1.07 4 1 Balconies x8 1.44 0.55 3 1 Car parking x9 1.44 1.18 - - Ownership x10 0.32 0.69 - - Amount y 1493.58 1202749.26 4250 219 Note: The maximum (minimum) doesn’t have meaning when it comes to transactions, furnishing, facing, car parking, and ownership. Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics DOI: 10.54254/2753-8818/14/20240926 160 ===== PAGE 4 (score 6, numeric-paren 0, table-words 2, var-words 2) ===== 2.3. Research protocol This paper uses the Linear Regression model and Single Factor Correlation Analysis, the total amount of the home is the dependent variable(Y), and the 10 factors are the independent variables(X). Next, this paper uses SPSSAU to analyze the relationship between the effect of X on Y based on the results of scatter plots, box plots and multiple linear regression. 2.4. Model principle Linear regression is a standard statistical learning method to establish a linear relationship between the independent and dependent variables. Here is the typical formula for linear regression: y = β0 + β1 x1 + β2 x2 + ⋯+ βp xp + ε (1) Where β is the coefficient, ε is the residuals and the expectation for ε is 0. This paper uses scatter plots to directly see the relationship between two distinct variables. 3. Results and Discussion Figure 1 shows that it has an increasing trend, leading us to use a linear regression model. The result is y = 955.730 + 0.490 ∗x1, and the R square is 0.256. Because the R square is very close to 0, the dataset should delete the outliers to keep the R square close to 1. Figure 1. The scatter plot of carpet area and the amount. As shown in figure 2, after deleting all the outliers, the data seems more linear. However, the results show that the regression model becomes y = −301.308 + 1.705 ∗x1, and R square becomes 0.476, still not very close to 1. Figure 2. Processed figure 1. Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics DOI: 10.54254/2753-8818/14/20240926 161 ===== PAGE 6 (score 40, numeric-paren 12, table-words 6, var-words 10) ===== that all the factors have relatively strong affection on the amount. Moreover, the p-values of Carpet area, Floor, Total floor, Transaction, Furnishing, Bathrooms, Balconies, Car parking, and Ownership are smaller than 0.01, which illustrates these variables have significantly strong relationship with the Amount. When it comes to the collinearity diagnosis, the values of tolerance of Carpet area, Floor, Total floor, Transaction, Furnishing, Facing, Bathrooms, Balconies, Car parking, and Ownership all are greater than 0.02. The outcomes show no autocorrelation in the model and no correlation between the sample data, indicating that the model is of good quality. Moreover, the D-W value is around 2, which also illustrates that the model doesn’t have autocorrelation or correlation between the sample data. The second column shows the coefficients of 10 variables. The coefficients of Carpet area, Floor, Total floor, Furnishing, Facing, Bathrooms, Balconies, Car parking, and Ownership are all bigger than 0, with the result of p-values, which means these variables have significant favourable influence on the amount. The coefficient of Transaction is less than 0, with the consequence of p-value, so this variable has a significant negative impact on the amount, which means that the prices of “Resale” are universally greater than “New property”. In comparison to prior research, they tend to use specific analysis of a single factor, especially the factors shown in number, which is limited to known possible factors for influencing the housing prices, such as Facing, Transaction, Ownership, Furnishing, and Car parking, the data initially shown in the text form. In contrast, this study covers a wide range of factors, making it more comprehensive and effective in avoiding errors caused by not controlling for a single variable. It also expands ideas for future research on housing prices and helps sellers identify the preferences of potential buyers. Table 3. A slightly more complex table with a narrow caption. B t p collinearity diagnosis VIF tolerance constant -1347.29 -14.413 0.000** - - x1 0.085 3.645 0.000** 2.099 0.476 x2 17.03 3.483 0.001** 2.273 0.44 x3 29.62 8.702 0.000** 2.304 0.434 x4 -314.184 -6.454 0.000** 1.342 0.745 x5 353.179 12.373 0.000** 1.42 0.704 x6 28.751 2.18 0.029* 1.169 0.855 x7 431.747 11.769 0.000** 4.236 0.236 x8 134.352 4.934 0.000** 1.226 0.816 x9 403.357 12.619 0.000** 3.57 0.28 x10 73.178 3.032 0.002** 1.207 0.829 R2 0.74 adjustment R2 0.737 F F (10,889)=253.086,p=0.000 D-W value 1.822 Dependent: y * p<0.05 ** p<0.01 4. Conclusion In this study, various data were analysed to determine the factors that affect housing prices. The results suggest that changes in housing prices are linked to factors such as carpet area, floor, total number of floors, transaction, furnishing, facing direction, number of bathrooms and balconies, availability of Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics DOI: 10.54254/2753-8818/14/20240926 163 ===== PAGE 7 (score 5, numeric-paren 0, table-words 0, var-words 5) ===== parking space, and ownership. Most of the factors studied in this paper have not received much attention in previous studies. It is true that the model may have errors due to the limited amount of data. Additionally, the sample did not cover all conditions from different countries or discuss policy and economic backgrounds, which could cause possible variations and affect the accuracy of the results. The study still has some advantages. Firstly, the data was from India, and was just released last month, which ensures the uniqueness of our data. Secondly, this essay chooses the data in text form and changes them into number form, which is really innovative. Thirdly, this essay uses more than one method to get the outcomes. It ensures the feasibility of the linear regression model and eliminates errors. At last, we draw a conclusion that the 10 variables all have relationship with the amount of the housing prices, but it is still a preliminary conclusion. Further investigation is needed to determine if these factors are linked to changes in housing prices, and these findings may guide future research. Once other factors that influence housing prices are found, the actions that will be taken to control the prices may come out more quickly and more efficiently. References [1] Xie R, Du Y and Zhu J M 2022 Econometric Analysis of the Factors Influencing Housing Prices in Anhui based on Multiple Regression. Natural Science Journal of Harbin Normal University 38, 36-42. 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