## 1 Introduction
A correlation analysis comparing the sustainable construction industry and housing price indicators of the EU member states, the UK and Norway was performed (see Table 3). The correlations among the 2018 real house price index (index, \(2015=100\)), the 2018 nominal house price indices (index, \(2015=100\)), the 2020 price-to-rent ratio (index, \(2010=100\)), the 2018 house price indices with the 2018 production in construction (production volume index) (index, \(2015=100\)), the 2018 construction cost index in national currencies (index, \(2015=100\)) and the 2018 building permits indices (the amount of new residential construction, except for community housing) (index \(2015=100\)) were analysed (Table 3). Figure 8: Correlation between the population distribution by the income group, type of household and tenure status, 2018, the quality of life, 2019, the happiness index, 2019, and the corruption perception index, 2018, of the 25 EU countries, the UK and Norway under evaluation. The outcomes of the correlation analysis are discussed below. Strong correlations were identified between the following indicators (Table 3):  
* Real house price indices in 2018 (index, 2015 = 100) and nominal house price indices in 2018 (index, 2015 = 100) (\(r\) = 0.9788, linear dependence). * House price indices in 2018, and real house price indices in 2018 (index, 2015 = 100) (\(r\) = 0.9713, linear dependence), and nominal house price indices in 2018 (index, 2015 = 100) (\(r\) = 0.9975, linear dependence). Average and below average correlations were identified between the following indicators:
* Real house price indices in 2018 (index, 2015 = 100), and production in construction (production volume index) in 2018 (index, 2015 = 100) (\(r\) = 0.4049, linear dependence), construction cost index in 2018 (index, 2015 = 100) (\(r\) = 0.4264, linear dependence) (Figure 6), and building permits index (the amount of new residential construction, except for community housing) (index, 2015 = 100) in 2018 (\(r\) = 0.6196, linear dependence). * Nominal house price indices in 2018 (index, 2015 = 100), and production in construction (production volume index) (index, 2015 = 100) in 2018 (\(r\) = 0.4286, linear dependence), construction cost index (index, 2015 = 100) in 2018 (\(r\) = 0.5350, linear dependence) (Figure 9), and building permits index (the amount of new residential construction, except for community housing) (index, 2015 = 100) in 2018 (\(r\) = 0.5522, inverse dependence). * House price indices in 2018, and production in construction (production volume index) in 2018 (index, 2015 = 100) (\(r\) = 0.4309, linear dependence), construction cost index (index, 2015 = 100) in 2018 (\(r\) = 0.5430, linear dependence), and building permits index (the amount of new residential construction, except for community housing) (index, 2015 = 100) in 2018 (\(r\) = 0.5522, linear dependence). \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multicolumn{1}{c}{**Indicators**} & & & & \\ \hline Real house price indices, 2018 & 0.4049 & 0.4264 & 1 & 0.9788 & 0.6196 \\ (index, 2015 = 100) [102] & 0.4286 & 0.5350 & 0.9788 & 1 & 0.5611 \\ (index, 2015 = 100) [102] & - & - & - & -0.4196 \\ House price indices, 2018 [104] & 0.4309 & 0.5430 & 0.9713 & 0.9975 & 0.5522 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The correlation between the construction and housing price indices of the 25 EU countries, the UK and Norway. Figure 9 shows the data for the 2018 construction cost index (index, 2015 = 100), real house price indices and nominal house price indices data. The rise of housing prices comes from higher construction prices determined by the growth in the construction sector (see Figure 9).