Describing the problem - Linear Example

Counting the number of observations of each group.

( count_matrix <- table(x1c, x2c) )

##            x2c
## x1c         (0,0.2] (0.2,0.4] (0.4,0.6] (0.6,0.8] (0.8,1]
##   (0,0.2]        51        39        31        43      43
##   (0.2,0.4]      39        40        35        53      42
##   (0.4,0.6]      28        42        35        49      40
##   (0.6,0.8]      37        30        36        55      45
##   (0.8,1]        43        46        36        28      34