> #************************************************************** Regression
> # gaze_bias
> ##linear regression
> ###response: dp_bias, predictor: gaze_bias, mmpi_sum, cesd_sum
> mod <-lm(dp_bias ~ gaze_bias*mmpi_sum*cesd_sum, data = df)
> summary(mod)

Call:
lm(formula = dp_bias ~ gaze_bias * mmpi_sum * cesd_sum, data = df)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.06096 -0.01191 -0.00004  0.01481  0.06577 

Coefficients:
                              Estimate Std. Error t value Pr(>|t|)  
(Intercept)                  0.0058649  0.0065044   0.902   0.3696  
gaze_bias                    0.0505765  0.0462987   1.092   0.2775  
mmpi_sum                     0.0018421  0.0027676   0.666   0.5073  
cesd_sum                    -0.0007489  0.0004675  -1.602   0.1126  
gaze_bias:mmpi_sum          -0.0575538  0.0247939  -2.321   0.0225 *
gaze_bias:cesd_sum          -0.0013673  0.0033242  -0.411   0.6818  
mmpi_sum:cesd_sum            0.0001219  0.0001436   0.849   0.3980  
gaze_bias:mmpi_sum:cesd_sum  0.0025114  0.0012940   1.941   0.0554 .
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02367 on 92 degrees of freedom
Multiple R-squared:  0.1048,	Adjusted R-squared:  0.03664 
F-statistic: 1.538 on 7 and 92 DF,  p-value: 0.1644

> png(filename=paste(data_path, "4_analysis","lm_1.png",sep = "/"), width = 720, height = 720, units = "px")
> plot(mod)
> dev.off()
RStudioGD 
        2 
> 
> ###response: dp_bias, predictor: lum, devicePixelRatio, fullscreen
> mod <-lm(dp_bias ~ lum*devicePixelRatio*isFullscreen*factor(os)*factor(browser), data = df)
> summary(mod)

Call:
lm(formula = dp_bias ~ lum * devicePixelRatio * isFullscreen * 
    factor(os) * factor(browser), data = df)

Residuals:
     Min       1Q   Median       3Q      Max 
-0.07320 -0.01429  0.00000  0.01503  0.05901 

Coefficients: (35 not defined because of singularities)
                                                                                Estimate Std. Error t value Pr(>|t|)  
(Intercept)                                                                     0.119805   0.106093   1.129   0.2619  
lum                                                                            -0.283815   0.242174  -1.172   0.2444  
devicePixelRatio                                                               -0.120643   0.056015  -2.154   0.0340 *
isFullscreenTRUE                                                                      NA         NA      NA       NA  
factor(os)Mac                                                                  -0.110257   0.114435  -0.963   0.3380  
factor(os)Windows                                                               0.008863   0.082034   0.108   0.9142  
factor(browser)Firefox                                                          0.092556   0.113778   0.813   0.4182  
lum:devicePixelRatio                                                            0.243251   0.121511   2.002   0.0484 *
lum:isFullscreenTRUE                                                                  NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE                                                     NA         NA      NA       NA  
lum:factor(os)Mac                                                               0.259201   0.260494   0.995   0.3225  
lum:factor(os)Windows                                                           0.026481   0.180357   0.147   0.8836  
devicePixelRatio:factor(os)Mac                                                  0.113684   0.060752   1.871   0.0647 .
devicePixelRatio:factor(os)Windows                                                    NA         NA      NA       NA  
isFullscreenTRUE:factor(os)Mac                                                        NA         NA      NA       NA  
isFullscreenTRUE:factor(os)Windows                                                    NA         NA      NA       NA  
lum:factor(browser)Firefox                                                     -0.053526   0.078368  -0.683   0.4964  
devicePixelRatio:factor(browser)Firefox                                        -0.064759   0.111654  -0.580   0.5634  
isFullscreenTRUE:factor(browser)Firefox                                               NA         NA      NA       NA  
factor(os)Mac:factor(browser)Firefox                                                  NA         NA      NA       NA  
factor(os)Windows:factor(browser)Firefox                                              NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE                                                 NA         NA      NA       NA  
lum:devicePixelRatio:factor(os)Mac                                             -0.216838   0.132401  -1.638   0.1051  
lum:devicePixelRatio:factor(os)Windows                                                NA         NA      NA       NA  
lum:isFullscreenTRUE:factor(os)Mac                                                    NA         NA      NA       NA  
lum:isFullscreenTRUE:factor(os)Windows                                                NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE:factor(os)Mac                                       NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE:factor(os)Windows                                   NA         NA      NA       NA  
lum:devicePixelRatio:factor(browser)Firefox                                           NA         NA      NA       NA  
lum:isFullscreenTRUE:factor(browser)Firefox                                           NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE:factor(browser)Firefox                              NA         NA      NA       NA  
lum:factor(os)Mac:factor(browser)Firefox                                              NA         NA      NA       NA  
lum:factor(os)Windows:factor(browser)Firefox                                          NA         NA      NA       NA  
devicePixelRatio:factor(os)Mac:factor(browser)Firefox                                 NA         NA      NA       NA  
devicePixelRatio:factor(os)Windows:factor(browser)Firefox                             NA         NA      NA       NA  
isFullscreenTRUE:factor(os)Mac:factor(browser)Firefox                                 NA         NA      NA       NA  
isFullscreenTRUE:factor(os)Windows:factor(browser)Firefox                             NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE:factor(os)Mac                                   NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE:factor(os)Windows                               NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE:factor(browser)Firefox                          NA         NA      NA       NA  
lum:devicePixelRatio:factor(os)Mac:factor(browser)Firefox                             NA         NA      NA       NA  
lum:devicePixelRatio:factor(os)Windows:factor(browser)Firefox                         NA         NA      NA       NA  
lum:isFullscreenTRUE:factor(os)Mac:factor(browser)Firefox                             NA         NA      NA       NA  
lum:isFullscreenTRUE:factor(os)Windows:factor(browser)Firefox                         NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE:factor(os)Mac:factor(browser)Firefox                NA         NA      NA       NA  
devicePixelRatio:isFullscreenTRUE:factor(os)Windows:factor(browser)Firefox            NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE:factor(os)Mac:factor(browser)Firefox            NA         NA      NA       NA  
lum:devicePixelRatio:isFullscreenTRUE:factor(os)Windows:factor(browser)Firefox        NA         NA      NA       NA  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.02364 on 87 degrees of freedom
Multiple R-squared:  0.1554,	Adjusted R-squared:  0.0389 
F-statistic: 1.334 on 12 and 87 DF,  p-value: 0.2145
