# Plotting multiple probabilities of an logistic multilevel model

I need to estimate and plot a logistic multilevel model. I've got the binary dependent variable employment status (empl) (0 = unemployed; 1 = employed) and level of internet connectivity (isoc) as (continuous) independent variable and need to include random effects (intercept and slope) alongside the education level (educ) (1 = low-skilled worker; 2 = middle-skilled; 3 = high-skilled). Also I have some control variables I'm not going to mention here. I'm using the glmer function of the lme4 package.

The question: I'm looking for a plot with three graphs, one graph for each educ-level, with the probabilities (values just between 0 and 1). Here is an sample image from the web: https://ademos.people.uic.edu/Chapter19_files/figure-html/unnamed-chunk-24-1.png
Below is my (simplified) code. The plot_model() at the end produces crap I cannot interpret.

``````library(lme4)
library(lmerTest)
library(tidyverse)
library(dplyr)
library(sjPlot)
library(moonBook)
library(sjmisc)
library(sjlabelled)

# data frame
setseed(1212)
d <- data.frame(empl=c(1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0), isoc=runif(20, min=-0.2, max=0.2), educ=sample(1:3, 20, replace=TRUE))

empl         isoc educ
1     1  0.078604108    1
2     1  0.093667591    3
3     1 -0.061523272    2
4     0  0.009468908    3
5     1 -0.169220134    2
6     0 -0.038594789    3
7     1  0.170506490    1
8     1 -0.098487991    1
9     0  0.073339737    1
10    1  0.144211813    3
11    1 -0.133510687    1
12    1 -0.045306606    3
13    0  0.124211903    3
14    1 -0.003908486    3
15    0 -0.080673475    3
16    1  0.061406993    3
17    1  0.015401951    2
18    1  0.073351501    2
19    1  0.075648137    2
20    0  0.041450192    1

# logistic model
m <- glmer(empl ~ isoc + (1 + isoc | educ),
data=d,
family=binomial("logit"),
nAGQ = 0)
summary(m)

# attempt to plot the probabilities along the educ-level
plot_model(m, type="pred",
terms=c("isoc [all]", "educ"),
show.data=TRUE)
``````

There is one thing I can do to get a "kind-of" right plot but I have to alter the model above in a way I think it's wrong (keyword: multicollinearity). Additionally I don't think the three graphs of this plot are correct either. I appreciate any help!

``````# modified model
m_alt <- glmer(empl ~ isoc + educ (1 + isoc | educ),
data=d,
family=binomial("logit"),
nAGQ = 0)
summary(m_alt)
``````

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