Table 5 Regression results for Busan, Daegu, Daejeon, and Gwangju.

From: Asymmetric impacts of artificial intelligence on housing price valuation across education levels

Busan

Obs. = 53,458

(i)

(ii)

(iii)

 

OLS

SLR

OLS

SLR

OLS

SLR

Housing characteristics

 Area

\({0.012}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.011}^{\ddagger }\)

 Floor

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

 Households

\(7.7\times {10}^{-5\ddagger }\)

\(7.1\times {10}^{-5\ddagger }\)

\(8.1\times {10}^{-5\ddagger }\)

\(7.4\times {10}^{-5\ddagger }\)

\(7.6\times {10}^{-5\ddagger }\)

\(7.0\times {10}^{-5\ddagger }\)

 Parking space

\({0.159}^{\ddagger }\)

\({0.134}^{\ddagger }\)

\({0.166}^{\ddagger }\)

\({0.139}^{\ddagger }\)

\({0.160}^{\ddagger }\)

\({0.134}^{\ddagger }\)

 Heating

\({0.155}^{\ddagger }\)

\({0.092}^{\ddagger }\)

\({0.154}^{\ddagger }\)

\({0.089}^{\ddagger }\)

\({0.141}^{\ddagger }\)

\({0.081}^{\ddagger }\)

 Age

\({0.012}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.012}^{\ddagger }\)

Local amenities

 Prox. green

\(-{0.008}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.008}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.008}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

 Prox. water

\(-{0.014}^{\ddagger }\)

\(-{0.012}^{\ddagger }\)

\(-{0.018}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

\(-{0.018}^{\ddagger }\)

\(-{0.014}^{\ddagger }\)

 Prox. subway

\(-{0.075}^{\ddagger }\)

\(-{0.055}^{\ddagger }\)

\(-{0.080}^{\ddagger }\)

\(-{0.057}^{\ddagger }\)

\(-{0.076}^{\ddagger }\)

\(-{0.054}^{\ddagger }\)

 Bus stops

\(-3.3\times {10}^{-4\dagger }\)

\(2.7\times {10}^{-4\dagger }\)

\(-{0.001}^{\ddagger }\)

\(-4.6\times {10}^{-5}\)

\({0.001}^{\ddagger }\)

\({0.001}^{\ddagger }\)

 Top school

\({0.006}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.006}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\(-\)

\(-\)

Local demographics

 Sex ratio

\(-{0.007}^{\ddagger }\)

\(-{0.004}^{\ddagger }\)

\(-{0.011}^{\ddagger }\)

\(-{0.007}^{\ddagger }\)

\(-{0.008}^{\ddagger }\)

\(-{0.004}^{\ddagger }\)

 Pop. density

\(2.4\times {10}^{-6\ddagger }\)

\(1.7\times {10}^{-6\ddagger }\)

\(1.9\times {10}^{-6\ddagger }\)

\(1.3\times {10}^{-6\ddagger }\)

\(2.9\times {10}^{-6\ddagger }\)

\(2.0\times {10}^{-6\ddagger }\)

 Univ. grad.

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\(-\)

\(-\)

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

Seasonality control

 Spring

\({0.018}^{\ddagger }\)

\({0.017}^{\ddagger }\)

\({0.020}^{\ddagger }\)

\({0.018}^{\ddagger }\)

\({0.017}^{\ddagger }\)

\({0.016}^{\ddagger }\)

 Fall

\({0.074}^{\ddagger }\)

\({0.064}^{\ddagger }\)

\({0.078}^{\ddagger }\)

\({0.066}^{\ddagger }\)

\({0.075}^{\ddagger }\)

\({0.064}^{\ddagger }\)

 Winter

\({0.048}^{\ddagger }\)

\({0.044}^{\ddagger }\)

\({0.050}^{\ddagger }\)

\({0.045}^{\ddagger }\)

\({0.047}^{\ddagger }\)

\({0.044}^{\ddagger }\)

 Constant

\(-{14.150}^{\ddagger }\)

\(-{17.267}^{\ddagger }\)

\(-{12.870}^{\ddagger }\)

\(-{16.403}^{\ddagger }\)

\(-{14.204}^{\ddagger }\)

\(-{17.437}^{\ddagger }\)

 VIF range

\(1.060-1.828\)

\(1.060-1.826\)

\(1.048-1.828\)

 \(F\)-statistics

\({{7250}}^{\ddagger }\)

\({{7200}}^{\ddagger }\)

\({{7510}}^{\ddagger }\)

\({{7450}}^{\ddagger }\)

\({{7600}}^{\ddagger }\)

\({{7540}}^{\ddagger }\)

 RMSE

\(0.313\)

\(0.291\)

\(0.316\)

\(0.293\)

\(0.315\)

\(0.292\)

 Adjusted R2

\(0.698\)

\(0.696\)

\(0.692\)

\(0.690\)

\(0.695\)

\(0.693\)

Daegu

Obs. = 56,606

(i)

(ii)

(iii)

 

OLS

SLR

OLS

SLR

OLS

SLR

Housing characteristics

 Area

\({0.011}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.011}^{\ddagger }\)

 Floor

\({0.004}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.004}^{\ddagger }\)

 Households

\(-3.8\times {10}^{-7}\)

\(4.6\times {10}^{-6\dagger }\)

\(1.0\times {10}^{-5\ddagger }\)

\(1.3\times {10}^{-5\ddagger }\)

\(-5.7\times {10}^{-6\dagger }\)

\(1.8\times {10}^{-6}\)

 Parking space

\({0.068}^{\ddagger }\)

\({0.050}^{\ddagger }\)

\({0.087}^{\ddagger }\)

\({0.060}^{\ddagger }\)

\({0.074}^{\ddagger }\)

\({0.051}^{\ddagger }\)

 Heating

\(-{0.016}^{\ddagger }\)

\(-{0.008}^{\ddagger }\)

\(0.004\)

\({0.008}^{\ddagger }\)

\(-{0.041}^{\ddagger }\)

\(-{0.023}^{\ddagger }\)

 Age

\({0.022}^{\ddagger }\)

\({0.020}^{\ddagger }\)

\({0.020}^{\ddagger }\)

\({0.018}^{\ddagger }\)

\({0.023}^{\ddagger }\)

\({0.020}^{\ddagger }\)

Local amenities

 Prox. green

\(-{0.012}^{\ddagger }\)

\(-{0.011}^{\ddagger }\)

\(-{0.021}^{\ddagger }\)

\(-{0.017}^{\ddagger }\)

\(0.001\)

\(-{0.002}^{* }\)

 Prox. water

\({0.019}^{\ddagger }\)

\({0.009}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.003}^{\ddagger }\)

\({0.030}^{\ddagger }\)

\({0.015}^{\ddagger }\)

 Prox. subway

\(-{0.043}^{\ddagger }\)

\(-{0.036}^{\ddagger }\)

\(-{0.069}^{\ddagger }\)

\(-{0.053}^{\ddagger }\)

\(-{0.054}^{\ddagger }\)

\(-{0.043}^{\ddagger }\)

 Bus stops

\(-{0.001}^{\ddagger }\)

\(-7.2\times {10}^{-5}\)

\(-{0.001}^{\ddagger }\)

\(5.8\times {10}^{-4\ddagger }\)

\({0.001}^{\ddagger }\)

\({0.002}^{\ddagger }\)

 Top school

\({0.009}^{\ddagger }\)

\({0.006}^{\ddagger }\)

\({0.011}^{\ddagger }\)

\({0.008}^{\ddagger }\)

\(-\)

\(-\)

Local demographics

 Sex ratio

\(-{0.003}^{\ddagger }\)

\(-{0.004}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

 Pop. density

\(1.1\times {10}^{-6\ddagger }\)

\(1.2\times {10}^{-6\ddagger }\)

\(2.2\times {10}^{-6\ddagger }\)

\(1.9\times {10}^{-6\ddagger }\)

\(3.4\times {10}^{-6\ddagger }\)

\(2.8\times {10}^{-6\ddagger }\)

 Univ. grad.

\({0.012}^{\ddagger }\)

\({0.009}^{\ddagger }\)

\(-\)

\(-\)

\({0.015}^{\ddagger }\)

\({0.011}^{\ddagger }\)

Seasonality control

 Spring

\(-{0.021}^{\ddagger }\)

\(-{0.014}^{\ddagger }\)

\(-{0.016}^{\ddagger }\)

\(-{0.009}^{\ddagger }\)

\(-{0.022}^{\ddagger }\)

\(-{0.014}^{\ddagger }\)

 Fall

\({0.026}^{\ddagger }\)

\({0.030}^{\ddagger }\)

\({0.036}^{\ddagger }\)

\({0.038}^{\ddagger }\)

\({0.025}^{\ddagger }\)

\({0.030}^{\ddagger }\)

 Winter

\(-0.002\)

\(0.004\)

\({0.007}^{\dagger }\)

\({0.010}^{\ddagger }\)

\(-0.003\)

\(0.004\)

 Constant

\(-{35.737}^{\ddagger }\)

\(-{33.511}^{\ddagger }\)

\(-{30.252}^{\ddagger }\)

\(-{29.349}^{\ddagger }\)

\(-{36.038}^{\ddagger }\)

\(-{33.381}^{\ddagger }\)

 VIF range

\(1.150-1.689\)

\(1.144-1.546\)

\(1.128-1.578\)

 \(F\)-statistics

\({\mathrm{12,000}}^{\ddagger }\)

\({\mathrm{11,300}}^{\ddagger }\)

\({\mathrm{11,200}}^{\ddagger }\)

\({\mathrm{10,800}}^{\ddagger }\)

\({\mathrm{11,400}}^{\ddagger }\)

\({\mathrm{10,900}}^{\ddagger }\)

 RMSE

\(0.249\)

\(0.234\)

\(0.262\)

\(0.241\)

\(0.260\)

\(0.240\)

 Adjusted R2

\(0.783\)

\(0.772\)

\(0.760\)

\(0.753\)

\(0.763\)

\(0.756\)

Daejeon

Obs. = 24,350

(i)

(ii)

(iii)

 

OLS

SLR

OLS

SLR

OLS

SLR

Housing characteristics

 Area

\({0.013}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.012}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.012}^{\ddagger }\)

 Floor

\({0.003}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.003}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.003}^{\ddagger }\)

 Households

\(1.1\times {10}^{-4\ddagger }\)

\(1.5\times {10}^{-4\ddagger }\)

\(1.2\times {10}^{-4\ddagger }\)

\(1.5\times {10}^{-4\ddagger }\)

\(1.1\times {10}^{-4\ddagger }\)

\(1.4\times {10}^{-4\ddagger }\)

 Parking space

\({0.149}^{\ddagger }\)

\({0.142}^{\ddagger }\)

\({0.152}^{\ddagger }\)

\({0.143}^{\ddagger }\)

\({0.131}^{\ddagger }\)

\({0.127}^{\ddagger }\)

 Heating

\({0.184}^{\ddagger }\)

\({0.103}^{\ddagger }\)

\({0.189}^{\ddagger }\)

\({0.102}^{\ddagger }\)

\({0.199}^{\ddagger }\)

\({0.110}^{\ddagger }\)

 Age

\({0.019}^{\ddagger }\)

\({0.018}^{\ddagger }\)

\({0.019}^{\ddagger }\)

\({0.018}^{\ddagger }\)

\({0.017}^{\ddagger }\)

\({0.016}^{\ddagger }\)

Local amenities

 Prox. green

\({0.023}^{\ddagger }\)

\({0.021}^{\ddagger }\)

\({0.020}^{\ddagger }\)

\({0.019}^{\ddagger }\)

\({0.043}^{\ddagger }\)

\({0.036}^{\ddagger }\)

 Prox. water

\(-{0.012}^{\ddagger }\)

\({0.014}^{\ddagger }\)

\(-{0.012}^{\ddagger }\)

\({0.015}^{\ddagger }\)

\(-{0.012}^{\ddagger }\)

\({0.016}^{\ddagger }\)

 Prox. subway

\(-{0.045}^{\ddagger }\)

\(-{0.050}^{\ddagger }\)

\(-{0.049}^{\ddagger }\)

\(-{0.052}^{\ddagger }\)

\(-{0.067}^{\ddagger }\)

\(-{0.068}^{\ddagger }\)

 Bus stops

\(-{0.003}^{\ddagger }\)

\({0.003}^{\ddagger }\)

\(-{0.004}^{\ddagger }\)

\(2.7\times {10}^{-3\ddagger }\)

\(8.3\times {10}^{-7}\)

\({0.005}^{\ddagger }\)

 Top school

\({0.012}^{\ddagger }\)

\({0.010}^{\ddagger }\)

\({0.014}^{\ddagger }\)

\({0.010}^{\ddagger }\)

\(-\)

\(-\)

Local demographics

 Sex ratio

\(-{0.013}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.013}^{\ddagger }\)

\(-{0.005}^{\ddagger }\)

\(-{0.010}^{\ddagger }\)

\(-{0.003}^{\ddagger }\)

 Pop. density

\(-7.6\times {10}^{-6\ddagger }\)

\(-3.7\times {10}^{-6\ddagger }\)

\(-8.1\times {10}^{-6\ddagger }\)

\(-3.7\times {10}^{-6\ddagger }\)

\(-2.3\times {10}^{-6\ddagger }\)

\(8.4\times {10}^{-7\ddagger }\)

 Univ. grad.

\({0.003}^{\ddagger }\)

\({0.001}^{\ddagger }\)

\(-\)

\(-\)

\({0.007}^{\ddagger }\)

\({0.004}^{\ddagger }\)

Seasonality control

 Spring

\(-{0.054}^{\ddagger }\)

\(-{0.044}^{\ddagger }\)

\(-{0.055}^{\ddagger }\)

\(-{0.044}^{\ddagger }\)

\(-{0.053}^{\ddagger }\)

\(-{0.042}^{\ddagger }\)

 Fall

\({0.051}^{\ddagger }\)

\({0.049}^{\ddagger }\)

\({0.051}^{\ddagger }\)

\({0.049}^{\ddagger }\)

\({0.052}^{\ddagger }\)

\({0.050}^{\ddagger }\)

 Winter

\(0.002\)

\(0.004\)

\(0.003\)

\(0.004\)

\(0.001\)

\(0.003\)

 Constant

\(-{28.916}^{\ddagger }\)

\(-{30.045}^{\ddagger }\)

\(-{28.845}^{\ddagger }\)

\(-{30.054}^{\ddagger }\)

\(-{23.638}^{\ddagger }\)

\(-{25.848}^{\ddagger }\)

 VIF range

\(1.119-2.519\)

\(1.101-2.024\)

\(1.083-1.654\)

 \(F\)-statistics

\({{4160}}^{\ddagger }\)

\({{3940}}^{\ddagger }\)

\({{4400}}^{\ddagger }\)

\({{4150}}^{\ddagger }\)

\({{4040}}^{\ddagger }\)

\({{3820}}^{\ddagger }\)

 RMSE

\(0.281\)

\(0.252\)

\(0.281\)

\(0.252\)

\(0.290\)

\(0.259\)

 Adjusted R2

\(0.744\)

\(0.733\)

\(0.743\)

\(0.732\)

\(0.726\)

\(0.715\)

Gwangju

Obs. = 44,305

(i)

(ii)

(iii)

 

OLS

SLR

OLS

SLR

OLS

SLR

Housing characteristics

 Area

\({0.013}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.013}^{\ddagger }\)

\({0.013}^{\ddagger }\)

 Floor

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

 Households

\(1.4\times {10}^{-4\ddagger }\)

\(1.4\times {10}^{-4\ddagger }\)

\(1.3\times {10}^{-4\ddagger }\)

\(1.3\times {10}^{-4\ddagger }\)

\(1.5\times {10}^{-4\ddagger }\)

\(1.5\times {10}^{-4\ddagger }\)

 Parking space

\({0.252}^{\ddagger }\)

\({0.250}^{\ddagger }\)

\({0.265}^{\ddagger }\)

\({0.262}^{\ddagger }\)

\({0.251}^{\ddagger }\)

\({0.250}^{\ddagger }\)

 Heating

\({0.128}^{\ddagger }\)

\({0.118}^{\ddagger }\)

\({0.121}^{\ddagger }\)

\({0.112}^{\ddagger }\)

\({0.125}^{\ddagger }\)

\({0.116}^{\ddagger }\)

 Age

\({0.022}^{\ddagger }\)

\({0.022}^{\ddagger }\)

\({0.022}^{\ddagger }\)

\({0.021}^{\ddagger }\)

\({0.022}^{\ddagger }\)

\({0.022}^{\ddagger }\)

Local amenities

 Prox. green

\(-{0.018}^{\ddagger }\)

\(-{0.013}^{\ddagger }\)

\(-{0.016}^{\ddagger }\)

\(-{0.012}^{\ddagger }\)

\(-{0.017}^{\ddagger }\)

\(-{0.013}^{\ddagger }\)

 Prox. water

\(-{0.033}^{\ddagger }\)

\(-{0.033}^{\ddagger }\)

\(-{0.032}^{\ddagger }\)

\(-{0.032}^{\ddagger }\)

\(-{0.032}^{\ddagger }\)

\(-{0.032}^{\ddagger }\)

 Prox. subway

\(-{0.027}^{\ddagger }\)

\(-{0.029}^{\ddagger }\)

\(-{0.024}^{\ddagger }\)

\(-{0.027}^{\ddagger }\)

\(-{0.027}^{\ddagger }\)

\(-{0.029}^{\ddagger }\)

 Bus stops

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\({0.002}^{\ddagger }\)

\(2.2\times {10}^{-3\ddagger }\)

\(2.2\times {10}^{-3\ddagger }\)

\({0.002}^{\ddagger }\)

 Top school

\({0.001}^{\ddagger }\)

\({0.001}^{\ddagger }\)

\({0.001}^{\ddagger }\)

\({0.001}^{\ddagger }\)

\(-\)

\(-\)

Local demographics

 Sex ratio

\(-{0.007}^{\ddagger }\)

\(-{0.007}^{\ddagger }\)

\(-{0.010}^{\ddagger }\)

\(-{0.010}^{\ddagger }\)

\(-{0.007}^{\ddagger }\)

\(-{0.008}^{\ddagger }\)

 Pop. density

\(3.2\times {10}^{-6\ddagger }\)

\(2.8\times {10}^{-6\ddagger }\)

\(3.0\times {10}^{-6\ddagger }\)

\(2.6\times {10}^{-6\ddagger }\)

\(3.3\times {10}^{-6\ddagger }\)

\(2.9\times {10}^{-6\ddagger }\)

 Univ. grad.

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

\(-\)

\(-\)

\({0.005}^{\ddagger }\)

\({0.004}^{\ddagger }\)

Seasonality control

 Spring

\(-{0.015}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

\(-{0.015}^{\ddagger }\)

 Fall

\({0.026}^{\ddagger }\)

\({0.026}^{\ddagger }\)

\({0.026}^{\ddagger }\)

\({0.026}^{\ddagger }\)

\({0.026}^{\ddagger }\)

\({0.026}^{\ddagger }\)

 Winter

\(-0.004\)

\(-0.005\)

\(-0.004\)

\(-0.004\)

\(-0.004\)

\(-0.004\)

 Constant

\(-{33.945}^{\ddagger }\)

\(-{34.093}^{\ddagger }\)

\(-{33.208}^{\ddagger }\)

\(-{33.454}^{\ddagger }\)

\(-{33.928}^{\ddagger }\)

\(-{34.076}^{\ddagger }\)

 VIF range

\(1.051-2.047\)

\(1.037-2.024\)

\(1.085-2.047\)

 \(F\)-statistics

\({{9860}}^{\ddagger }\)

\({{9810}}^{\ddagger }\)

\({\mathrm{10,300}}^{\ddagger }\)

\({\mathrm{10,300}}^{\ddagger }\)

\({\mathrm{10,400}}^{\ddagger }\)

\({\mathrm{10,400}}^{\ddagger }\)

 RMSE

\(0.245\)

\(0.244\)

\(0.247\)

\(0.245\)

\(0.245\)

\(0.244\)

 Adjusted R2

\(0.791\)

\(0.790\)

\(0.788\)

\(0.788\)

\(0.790\)

\(0.790\)

  1. \(\ddagger\), \(\dagger\), and \(*\) indicate significance at the 1%, 5%, and 10% levels, respectively.