Call:
lm(formula = y ~ x)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.070723 -0.032123 -0.006344  0.016610  0.245297 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)  0.12660    0.04277   2.960  0.00318 **
xAP         -0.09393    0.04284  -2.192  0.02868 * 
xAP-REG     -0.05784    0.05238  -1.104  0.26983   
xAP:LTS      0.04157    0.06048   0.687  0.49207   
xAP:P       -0.10929    0.06048  -1.807  0.07118 . 
xAP:REG     -0.12412    0.04685  -2.649  0.00825 **
xAP:S       -0.11325    0.04685  -2.417  0.01589 * 
xDP         -0.07066    0.04572  -1.546  0.12266   
xDP:LTS     -0.09315    0.05238  -1.778  0.07578 . 
xDP:S       -0.11434    0.05238  -2.183  0.02937 * 
xDP/S       -0.05775    0.04938  -1.170  0.24260   
xLAW        -0.12025    0.04307  -2.792  0.00539 **
xLAW:REG    -0.10975    0.04781  -2.295  0.02201 * 
xLTS        -0.05587    0.04365  -1.280  0.20096   
xNAPA       -0.07714    0.06048  -1.275  0.20258   
xNM         -0.07912    0.06048  -1.308  0.19125   
xP          -0.10627    0.04358  -2.438  0.01500 * 
xPNACC      -0.11465    0.06048  -1.896  0.05841 . 
xREG        -0.11312    0.04331  -2.612  0.00920 **
xREG:AP     -0.07485    0.06048  -1.238  0.21632   
xREG:LTS    -0.04805    0.06048  -0.794  0.42720   
xREG:S      -0.04934    0.06048  -0.816  0.41491   
xS          -0.07489    0.04287  -1.747  0.08108 . 
xS-AP       -0.09647    0.04781  -2.018  0.04402 * 
xS:AP       -0.09370    0.04508  -2.079  0.03803 * 
xS:REG      -0.10935    0.04572  -2.392  0.01704 * 
xS/AP       -0.10294    0.06048  -1.702  0.08919 . 
xS/DP        0.06613    0.06048   1.093  0.27458   
xS/REG      -0.12651    0.06048  -2.092  0.03683 * 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.04277 on 683 degrees of freedom
Multiple R-squared:  0.1662,	Adjusted R-squared:  0.1321 
F-statistic: 4.863 on 28 and 683 DF,  p-value: 0.00000000000001779