In [2]:

    

import pandas as pa
import matplotlib.pyplot as plt
import numpy as np
from sklearn import linear_model


    

In [12]:

    

dtype_dict = {'bathrooms':float, 'waterfront':int, 'sqft_above':int, 'sqft_living15':float, 'grade':int,
              'yr_renovated':int, 'price':float, 'bedrooms':float, 'zipcode':str, 'long':float, 'sqft_lot15':float,
              'sqft_living':float, 'floors':str, 'condition':int, 'lat':float, 'date':str, 'sqft_basement':int,
              'yr_built':int, 'id':str, 'sqft_lot':int, 'view':int}

regressionDir = '/home/weenkus/workspace/Machine Learning - University of Washington/Regression'

house = pa.read_csv(regressionDir + '/datasets/kc_house_data.csv', dtype = dtype_dict)
house_test = pa.read_csv(regressionDir + '/datasets/kc_house_test_data.csv', dtype = dtype_dict)
house_train = pa.read_csv(regressionDir + '/datasets/kc_house_train_data.csv', dtype = dtype_dict)


    

In [13]:

    

house.head()


    

    
Out[13]:






  

    

      

      
id
      
date
      
price
      
bedrooms
      
bathrooms
      
sqft_living
      
sqft_lot
      
floors
      
waterfront
      
view
      
...
      
grade
      
sqft_above
      
sqft_basement
      
yr_built
      
yr_renovated
      
zipcode
      
lat
      
long
      
sqft_living15
      
sqft_lot15
    
  
  

    

      
0
      
7129300520
      
20141013T000000
      
221900
      
3
      
1.00
      
1180
      
5650
      
1
      
0
      
0
      
...
      
7
      
1180
      
0
      
1955
      
0
      
98178
      
47.5112
      
-122.257
      
1340
      
5650
    
    

      
1
      
6414100192
      
20141209T000000
      
538000
      
3
      
2.25
      
2570
      
7242
      
2
      
0
      
0
      
...
      
7
      
2170
      
400
      
1951
      
1991
      
98125
      
47.7210
      
-122.319
      
1690
      
7639
    
    

      
2
      
5631500400
      
20150225T000000
      
180000
      
2
      
1.00
      
770
      
10000
      
1
      
0
      
0
      
...
      
6
      
770
      
0
      
1933
      
0
      
98028
      
47.7379
      
-122.233
      
2720
      
8062
    
    

      
3
      
2487200875
      
20141209T000000
      
604000
      
4
      
3.00
      
1960
      
5000
      
1
      
0
      
0
      
...
      
7
      
1050
      
910
      
1965
      
0
      
98136
      
47.5208
      
-122.393
      
1360
      
5000
    
    

      
4
      
1954400510
      
20150218T000000
      
510000
      
3
      
2.00
      
1680
      
8080
      
1
      
0
      
0
      
...
      
8
      
1680
      
0
      
1987
      
0
      
98074
      
47.6168
      
-122.045
      
1800
      
7503
    
  

5 rows × 21 columns

In [85]:

    

# Show plots in jupyter
%matplotlib inline

plt.scatter(house.sqft_living, house.price, alpha=0.5)
plt.ylabel('')
plt.xlabel('price')
plt.show()


    

In [15]:

    

def simple_linear_regression(input_feature, output):
    model = linear_model.LinearRegression()
    model.fit(input_feature, output)
    return(model.coef_, model.intercept_)


    

In [87]:

    

simple_linear_regression(house_train[['sqft_living']], house_train['price'])


    

    
Out[87]:





(array([ 281.95883963]), -47116.079072894645)

In [58]:

    

def get_regression_predictions(input_feature, intercept, slope):
    predicted_output = map(lambda x : intercept + x * slope, input_feature)
    return list(predicted_output)


    

In [59]:

    

house_train['sqft_living'].head()


    

    
Out[59]:





0    1180
1    2570
2     770
3    1960
4    1680
Name: sqft_living, dtype: float64

In [88]:

    

print (get_regression_predictions(house_train['sqft_living'], -47116.079072894645, 281.95883963))


    

    




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In [90]:

    

-47116.079072894645 + 281.95883963 * 2650


    

    
Out[90]:





700074.8459466053

In [95]:

    

def get_residual_sum_of_squares(input_feature, output, intercept, slope):
    prediction = get_regression_predictions(input_feature, intercept, slope)
    RSS = 0
    i = 0;
    for n in prediction:
        RSS = RSS + ((output[i] - n)*(output[i] - n))
        i = i + 1
    return(RSS)


    

In [96]:

    

get_residual_sum_of_squares(house_train['sqft_living'], house_train['price'],
                           -47116.079072894645,  281.95883963)


    

    
Out[96]:





1201918354177285.8

In [72]:

    

def inverse_regression_predictions(output, intercept, slope):
    return((output - intercept)/slope)


    

In [92]:

    

inverse_regression_predictions(800000, -47116.079072894645, 281.95883963)


    

    
Out[92]:





3004.3962451559287

In [81]:

    

simple_linear_regression(house_train[['bedrooms']], house_train['price'])


    

    
Out[81]:





(array([ 127588.95293399]), 109473.17762296391)

In [93]:

    

get_residual_sum_of_squares(house_train['bedrooms'], house_train['price'],
                            109473.17762296391, 127588.95293399)


    

    
Out[93]:





2143244498162065.0

In [94]:

    

2143244498162065.0 - 1201918354177285.8


    

    
Out[94]:





941326143984779.2

In [ ]: