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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3188
House Rent Price Prediction
Adarsh Kumar
1B.E., Department of Information Science and Engineering, The National Institute of Engineering, Mysuru, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Determining the sale price of the house is very
important nowadays as the price of the land and price of the
house increases every year. So our future generation needs a
simple technique to predict the house price infuture. Theprice
of house helps the buyer to know the cost price of the house
and also the right time to buy it. The right price of the house
helps the customer to elect the house and go for the bidding of
that house. There are several factors that affect the price of
the house such as the physical condition, location, landmark
etc. This paper uses various regression techniques to predict
the house price such as Ridge, Lasso, ElasticNet regression
techniques.
Key Words: House Price, Ridge, Lasso (Least Absolute
Shrinkage and Selection Operator), Regression analysis.
1.INTRODUCTION
Real property is not only a man's basic need, but it also
represents a person's wealth and prestige today. Because
their property values do not decline rapidly, investment in
real estate generally seems to be profitable. Changes in the
price of real estate can affect various investors in
households, bankers, policy makers and many others.
Investment in the real estate sector appears to be an
attractive investment choice. Predicting the value of
immovable property is therefore an important economic
index.
In this study, several methods of prediction were compared t
o finding the best predicted results in determining a house's
selling price compared to the actual price.
This paper brings the latest research on regression
technique that can be used for house prediction such as
Linear regression, Ridge regression, Gradient boosting and
hybrid regression.
As the initial house price prediction were challenging and
require some best method to get accurate prediction. Data
quality is a key factor to predict thehousepricesandmissing
features are a difficult aspect to handle in machine learning
models let alone house prediction model. Therefore, feature
engineering becomes an important method for creating
models which will give better accuracy.
In general, the value of the property increases over time and
its valued value must be calculated. During the sale of
property or while applyingfortheloanandthemarketability
of the property, this valued value is required. The
professional evaluators determine these valued values.
However, the disadvantage of this practice is that these
evaluators could be biased because buyers, sellers or
mortgages have bestowed interest. We therefore need an
automated model of prediction that can help to predict
property values without bias. This automated model can
help first - time buyers and less experienced customers to
see if property rates are overrated or underrated.
Kaggle organizes a dataset "Ames housing" and it provides
data with 82 explanatory variables for part of residential
home transactions in Ames, Iowa, and opens to all to predict
price of each covered home transaction SalePrice.Themajor
factors are MS zoning, salePrice, Overall Qual, Overall Cond,
Year Built, Year Remod/Add, Sale Condition, SalePrice. The
dataset contains various missing critical features which can
degrade the model performance to predict house prices.
2. DATA ANALYSIS
The dataset contains two types of variables:
1. Numeric Variables
There are 36 numerical features that are relevant. M
SSubClass, which "identifies the type of residence involve
d in the sale," is encoded as numeric but is a categorical va
riable in reality.
There are 36 numerical features, of the following types:
Square footage: shows the square footage of some
features, i.e. 1stFlrSF (first floor square footage) and
GarageArea (square feet garage size).
Time: variables related to time, such as when the house
was built or sold.
Room andamenities: data representingamenitiessuchas
"How many bathrooms”.
Condition and quality: Most of the variables dealing with
the apartment's actual physical space are positively
skewed— which makes sense because people tendtolive
in smaller homes / apartments apart from the extremely
rich.
2. Categorial Variables
There are many categorial variablesasnumericvariables.
But, there are many sales prices that don't change with
categories. There are also features that don’tvaryinprice
a lot among different categories, including the roof style
and land slope. Some include the presence or absence of
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3189
central air, theneighborhood,theexternalquality,andthe
zoning.
3. METHEDOLOGY
The design approach involves pre-processing of data,
creative feature engineering and the regression model such
as ridge regression, Gradient boosting,Linearregressionand
Hybrid regression.
3.1 Data Pre-processing
The data pre-processing involves:
a) Removing stop words: Stop words take 70% of
the text in the dataset. It is necessary to remove stop
words. To remove stop words from dataset, NLTK
corpus for stop words is used to check for stop
words.
b) Case folding: At this stage, all words are made to
same case such as lower case or upper case.
c) Stemming: Stemming is the process of producing a
root / base word'smorphological variants.Stemming
programs are commonly called stemming or
stemming algorithms.
d) Filling NaN Values: Many of the variables had-1
values that had to be addressed.Basedonwhatmade
the most sense, those values were filled out
accordingly. For instance,-1 values forvaluessuchas
Alley were filled with a string ("No Alley"), whereas
GarageYrBuilt-1 values were filled with the median
to prevent data from being skewed.
e) Dummy Variables: Categorial variablesarestring
which pose a threat to models. It is better to create
dummy variables which are numeric constant for
categorial variables which will help the models to
operate on categorial variables.
3.2 Feature Engineering
We conducted set of feature engineering step such as:
 Reduce the number of categorical variables
whenever possible / appropriate, as each
categorical variablemust be convertedintomultiple
dummy variables for regular multiple linear
regression models (OLS) and regularized linear
regression models, for example. Ridge, Lasso, and
ElasticNet, which would significantly increase the
total number of variables and make prediction very
inefficient.
 Add new variable promising feature based on
knowledge of the domain.
 Remove trivial variables of very low prediction
value.
 Adjust variables as required to ensure that their
values or types are fit for regression purposes, i.e.
help to predict the target variable accurately.
Fig -1: Ridge regression with alpha= 0.1
Specifically, we ran RF model fit on the trainingdata inR
for the first time and collected information about the
feature importance of all variables. Then, using Caret's
recursive feature elimination (RFE) function, we sorted
all the feature variables from the most important to the
least, and performed backward selection of features by
dropping 5 variables at a time and comparing their
predictive performance of cross-validation (CV). As
such, we can find the optimal set of features that gives
error of prediction to the lowest RMSE (root mean
squared error). The result figure is shown below that
will give the best RMSE performance by dropping 10
least important variables.
Fig -2: Comparison Graph
3.3 Regression Algorithms
a) Linear Regression: For finding a relationship
between two continuousvariables, Linear regression
is useful. One variable is predictor or independent,
and the other variable is variable response or
dependent. It looks for a relationship that is
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3190
statistical but not deterministic. It is said that the
relationship betweentwovariablesisdeterministicif
the other can express one variable accurately.
where Y is the dependent variable, X is the
independent variable. Theta is the coefficient factor.
b) Ridge Regression: Ridge Regression is a multi-
regression data analyzing technique suffering from
multicollinearity. Most square estimates are
unbiased when multicollinearity occurs, but their
variances are large so that they may be far from the
true value. The ridge regression reduces standard
errors by adding a degree of bias to the regression
estimates. It is hoped that the net effect will be to
provide more reliable estimates. Ridge regression is
modifying the least squares method which to
allow to have biased estimators of the regression
coefficients in the regression model. Ridge
regression put a particular form of constraints on
parameters.
c) Gradient Boosting: Gradient boosting is a
machine learning technique for regression and
classification issues that generates a predictive
model in the form of a set of weak predictive models,
typically decision trees.
The objective is to define a loss function and reduce
it. For gradient boosting, MSE is as follows:
The idea behind gradient boosting is toleveragethe
residual patterns and strengthen a model with weak
predictions and make it better.Oncewereacha stage
that residuals do not have any pattern that could be
modeled, we can stop modeling residuals.
d) Lasso Regression: Lasso (Least Absolute
Shrinkage and Selection Operator), similar to Ridge
Regression, also penalizes the absolute size of the
coefficients of regression. It is also capable of
reducing variability and enhancing linear
regression models ' accuracy. Look at the equation
below:
The regression of Lasso differs from the regression
of the ridge in a way that uses absolute values
instead of squares in the penalty function. This
leads to a penalization (or equivalent limitation of
the sum of the absolute values of the estimates)
which causes some estimates of the parameters to
turn out to be exactly zero. The greater the penalty
applied, the estimates are further reduced to
absolute zero.
4. RESULT
To train the dataset and make predictions separately, I used
LASSO (least absolute shrinkage and selection operator)and
Gradient boosting regression models.
LASSO is a model of regression that selects and regularizes
variable. The model LASSO uses a parameter that penalizes
too many variables for fitting. It allows variable coefficients
to be reduced to 0, which essentially results in the model
having no effect on those variables, thus reducing
dimensionality. Because there are quite a few explanatory
variables, reducing the number of variables can increasethe
accuracy of interpretation and prediction.
One of Kaggle's most popular algorithmsisgradientboosting
models. For many recent competitions, a variant of GBMs
known as the XGBoost was a clear favorite. Out of the box,
the algorithm works well. Such as the random forest, it is a
type of ensemble model where multiple decision trees are
used and optimized over some cost function. The popularity
and ability to compete well are reasons enough to use this
type of model for the problem of house price prediction.
I used cross validation and RMSLE (Root means logarithmic
error) to see how well each model is performing.
Here are the scores I got from my two models
Lasso Score: 0.1115(0.0078)
GBoost Score: 0.1159(0.0088)
Went ahead and stacked the two models together, several
research papers have proved that stacking two models
together can improve the accuracy of what is called
ensembling.
Average base model score:0.1091(0.0077)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3191
Finally, I trained the stacked regressor and predicted it.
RMSLE score on the train data: 0.06870805
Accuracy score: 0.9795672
Table -1: Top performing models score
5. CONCLUSIONS
The most value is removed by roofing a home with clay tile.
Interestingly, being close to a park or other outdoor feature
also lowers the home's value. Alternatively, the value is
increased by a few neighborhoods. On this dataset,
regularized models perform well. A note on the tradeoff
bias/variance: the model fit by the Ordinary Least Squares
(OLS) is the least biased estimator of all possible estimators,
according to the Gauss-Markov theorem. In other words, it
fits the data it has seen better than all possible models.
REFERENCES
[1] https://www.kaggle.com/c/house-prices-
advancedregression-techniques/
[2] http://scikit-learn.org/stable/install.html
[3] https://github.com/dmlc/xgboost/
[4] Eli Beracha, Ben T Gilbert, Tyler Kjorstad, Kiplan
womack, "On the Relation between Local Amenities and
House Price Dynamics", Journal of Real estate
Economics, Aug. 2016.
[5] Stephen Law, "Defining Street-based Local Area and
measuring its effect on house price using a hedonic price
approach: The case study of Metropolitan London",
Cities, vol. 60, Part A, pp. 166–179, Feb. 2017.
[6]https://www.analyticsvidhya.com/blog/2015/08/com
prehensive-guide-regression/
[7]https://www.researchgate.net/publication/323135322_
A_hybrid_regression_technique_for_house_prices_prediction

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  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3188 House Rent Price Prediction Adarsh Kumar 1B.E., Department of Information Science and Engineering, The National Institute of Engineering, Mysuru, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Determining the sale price of the house is very important nowadays as the price of the land and price of the house increases every year. So our future generation needs a simple technique to predict the house price infuture. Theprice of house helps the buyer to know the cost price of the house and also the right time to buy it. The right price of the house helps the customer to elect the house and go for the bidding of that house. There are several factors that affect the price of the house such as the physical condition, location, landmark etc. This paper uses various regression techniques to predict the house price such as Ridge, Lasso, ElasticNet regression techniques. Key Words: House Price, Ridge, Lasso (Least Absolute Shrinkage and Selection Operator), Regression analysis. 1.INTRODUCTION Real property is not only a man's basic need, but it also represents a person's wealth and prestige today. Because their property values do not decline rapidly, investment in real estate generally seems to be profitable. Changes in the price of real estate can affect various investors in households, bankers, policy makers and many others. Investment in the real estate sector appears to be an attractive investment choice. Predicting the value of immovable property is therefore an important economic index. In this study, several methods of prediction were compared t o finding the best predicted results in determining a house's selling price compared to the actual price. This paper brings the latest research on regression technique that can be used for house prediction such as Linear regression, Ridge regression, Gradient boosting and hybrid regression. As the initial house price prediction were challenging and require some best method to get accurate prediction. Data quality is a key factor to predict thehousepricesandmissing features are a difficult aspect to handle in machine learning models let alone house prediction model. Therefore, feature engineering becomes an important method for creating models which will give better accuracy. In general, the value of the property increases over time and its valued value must be calculated. During the sale of property or while applyingfortheloanandthemarketability of the property, this valued value is required. The professional evaluators determine these valued values. However, the disadvantage of this practice is that these evaluators could be biased because buyers, sellers or mortgages have bestowed interest. We therefore need an automated model of prediction that can help to predict property values without bias. This automated model can help first - time buyers and less experienced customers to see if property rates are overrated or underrated. Kaggle organizes a dataset "Ames housing" and it provides data with 82 explanatory variables for part of residential home transactions in Ames, Iowa, and opens to all to predict price of each covered home transaction SalePrice.Themajor factors are MS zoning, salePrice, Overall Qual, Overall Cond, Year Built, Year Remod/Add, Sale Condition, SalePrice. The dataset contains various missing critical features which can degrade the model performance to predict house prices. 2. DATA ANALYSIS The dataset contains two types of variables: 1. Numeric Variables There are 36 numerical features that are relevant. M SSubClass, which "identifies the type of residence involve d in the sale," is encoded as numeric but is a categorical va riable in reality. There are 36 numerical features, of the following types: Square footage: shows the square footage of some features, i.e. 1stFlrSF (first floor square footage) and GarageArea (square feet garage size). Time: variables related to time, such as when the house was built or sold. Room andamenities: data representingamenitiessuchas "How many bathrooms”. Condition and quality: Most of the variables dealing with the apartment's actual physical space are positively skewed— which makes sense because people tendtolive in smaller homes / apartments apart from the extremely rich. 2. Categorial Variables There are many categorial variablesasnumericvariables. But, there are many sales prices that don't change with categories. There are also features that don’tvaryinprice a lot among different categories, including the roof style and land slope. Some include the presence or absence of
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3189 central air, theneighborhood,theexternalquality,andthe zoning. 3. METHEDOLOGY The design approach involves pre-processing of data, creative feature engineering and the regression model such as ridge regression, Gradient boosting,Linearregressionand Hybrid regression. 3.1 Data Pre-processing The data pre-processing involves: a) Removing stop words: Stop words take 70% of the text in the dataset. It is necessary to remove stop words. To remove stop words from dataset, NLTK corpus for stop words is used to check for stop words. b) Case folding: At this stage, all words are made to same case such as lower case or upper case. c) Stemming: Stemming is the process of producing a root / base word'smorphological variants.Stemming programs are commonly called stemming or stemming algorithms. d) Filling NaN Values: Many of the variables had-1 values that had to be addressed.Basedonwhatmade the most sense, those values were filled out accordingly. For instance,-1 values forvaluessuchas Alley were filled with a string ("No Alley"), whereas GarageYrBuilt-1 values were filled with the median to prevent data from being skewed. e) Dummy Variables: Categorial variablesarestring which pose a threat to models. It is better to create dummy variables which are numeric constant for categorial variables which will help the models to operate on categorial variables. 3.2 Feature Engineering We conducted set of feature engineering step such as:  Reduce the number of categorical variables whenever possible / appropriate, as each categorical variablemust be convertedintomultiple dummy variables for regular multiple linear regression models (OLS) and regularized linear regression models, for example. Ridge, Lasso, and ElasticNet, which would significantly increase the total number of variables and make prediction very inefficient.  Add new variable promising feature based on knowledge of the domain.  Remove trivial variables of very low prediction value.  Adjust variables as required to ensure that their values or types are fit for regression purposes, i.e. help to predict the target variable accurately. Fig -1: Ridge regression with alpha= 0.1 Specifically, we ran RF model fit on the trainingdata inR for the first time and collected information about the feature importance of all variables. Then, using Caret's recursive feature elimination (RFE) function, we sorted all the feature variables from the most important to the least, and performed backward selection of features by dropping 5 variables at a time and comparing their predictive performance of cross-validation (CV). As such, we can find the optimal set of features that gives error of prediction to the lowest RMSE (root mean squared error). The result figure is shown below that will give the best RMSE performance by dropping 10 least important variables. Fig -2: Comparison Graph 3.3 Regression Algorithms a) Linear Regression: For finding a relationship between two continuousvariables, Linear regression is useful. One variable is predictor or independent, and the other variable is variable response or dependent. It looks for a relationship that is
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3190 statistical but not deterministic. It is said that the relationship betweentwovariablesisdeterministicif the other can express one variable accurately. where Y is the dependent variable, X is the independent variable. Theta is the coefficient factor. b) Ridge Regression: Ridge Regression is a multi- regression data analyzing technique suffering from multicollinearity. Most square estimates are unbiased when multicollinearity occurs, but their variances are large so that they may be far from the true value. The ridge regression reduces standard errors by adding a degree of bias to the regression estimates. It is hoped that the net effect will be to provide more reliable estimates. Ridge regression is modifying the least squares method which to allow to have biased estimators of the regression coefficients in the regression model. Ridge regression put a particular form of constraints on parameters. c) Gradient Boosting: Gradient boosting is a machine learning technique for regression and classification issues that generates a predictive model in the form of a set of weak predictive models, typically decision trees. The objective is to define a loss function and reduce it. For gradient boosting, MSE is as follows: The idea behind gradient boosting is toleveragethe residual patterns and strengthen a model with weak predictions and make it better.Oncewereacha stage that residuals do not have any pattern that could be modeled, we can stop modeling residuals. d) Lasso Regression: Lasso (Least Absolute Shrinkage and Selection Operator), similar to Ridge Regression, also penalizes the absolute size of the coefficients of regression. It is also capable of reducing variability and enhancing linear regression models ' accuracy. Look at the equation below: The regression of Lasso differs from the regression of the ridge in a way that uses absolute values instead of squares in the penalty function. This leads to a penalization (or equivalent limitation of the sum of the absolute values of the estimates) which causes some estimates of the parameters to turn out to be exactly zero. The greater the penalty applied, the estimates are further reduced to absolute zero. 4. RESULT To train the dataset and make predictions separately, I used LASSO (least absolute shrinkage and selection operator)and Gradient boosting regression models. LASSO is a model of regression that selects and regularizes variable. The model LASSO uses a parameter that penalizes too many variables for fitting. It allows variable coefficients to be reduced to 0, which essentially results in the model having no effect on those variables, thus reducing dimensionality. Because there are quite a few explanatory variables, reducing the number of variables can increasethe accuracy of interpretation and prediction. One of Kaggle's most popular algorithmsisgradientboosting models. For many recent competitions, a variant of GBMs known as the XGBoost was a clear favorite. Out of the box, the algorithm works well. Such as the random forest, it is a type of ensemble model where multiple decision trees are used and optimized over some cost function. The popularity and ability to compete well are reasons enough to use this type of model for the problem of house price prediction. I used cross validation and RMSLE (Root means logarithmic error) to see how well each model is performing. Here are the scores I got from my two models Lasso Score: 0.1115(0.0078) GBoost Score: 0.1159(0.0088) Went ahead and stacked the two models together, several research papers have proved that stacking two models together can improve the accuracy of what is called ensembling. Average base model score:0.1091(0.0077)
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3191 Finally, I trained the stacked regressor and predicted it. RMSLE score on the train data: 0.06870805 Accuracy score: 0.9795672 Table -1: Top performing models score 5. CONCLUSIONS The most value is removed by roofing a home with clay tile. Interestingly, being close to a park or other outdoor feature also lowers the home's value. Alternatively, the value is increased by a few neighborhoods. On this dataset, regularized models perform well. A note on the tradeoff bias/variance: the model fit by the Ordinary Least Squares (OLS) is the least biased estimator of all possible estimators, according to the Gauss-Markov theorem. In other words, it fits the data it has seen better than all possible models. REFERENCES [1] https://www.kaggle.com/c/house-prices- advancedregression-techniques/ [2] http://scikit-learn.org/stable/install.html [3] https://github.com/dmlc/xgboost/ [4] Eli Beracha, Ben T Gilbert, Tyler Kjorstad, Kiplan womack, "On the Relation between Local Amenities and House Price Dynamics", Journal of Real estate Economics, Aug. 2016. [5] Stephen Law, "Defining Street-based Local Area and measuring its effect on house price using a hedonic price approach: The case study of Metropolitan London", Cities, vol. 60, Part A, pp. 166–179, Feb. 2017. [6]https://www.analyticsvidhya.com/blog/2015/08/com prehensive-guide-regression/ [7]https://www.researchgate.net/publication/323135322_ A_hybrid_regression_technique_for_house_prices_prediction