Suggestions on how to visualize some data Basically, I have several design options with 22 variables with a 0-1 option. For each design I have an output which is a real number. So...I would like to know a way to express as clear as possible the effect of all the variables in the output, expressing how well each of the designs did. Any suggestions?
Clarification:
I have (potentially) 2^22 possible designs correct? And I don't know how the variables correlate. So to get a starting general idea I want to display the results graphically in a way that captures information about each design as whole. 
Right now I am displaying simply 22 bars showing the variation of the dependent variable when you switch each variable and hold all the rest in a constant "nominal" configuration. This however makes me lose information about how mutually changing variables play a role in the process
I am aware this is an oddly open-question, and I was just looking for suggestions that more experienced people in the field might have
 A: You could arrange your in a matrix, with 23 columns (one for each independent variable and one for the response) and 2^22 design rows.  The first 22 columns would be filled with all possible combinations of 0s and 1s.  The last column will have your real numbers.
Then sort the rows and the columns.  Sort the rows by the real numbers in column 23.  Sort the first 22 columns by the sum of the product of each column with the real numbers.  Then,  visualize the matrix with different colors or shading.
This should result in designs (rows) and independent variables (columns) with similar responses being grouped together.
Here's a very simple example, with just 3 independent variables:
x1  x2  x3   y
0   0   0   23
0   0   1   22
0   1   0   75
0   1   1   59
1   0   0   43
1   0   1   35
1   1   0   47
1   1   1   38

Sort the rows, then calculate the column products with y and sort the columns by the sum of the products:
x3  x1  x2  y
22  0   0   22
0   0   0   23
35  35  0   35
38  38  38  38
0   43  0   43
0   47  47  47
59  0   59  59
0   0   75  75
154 163 219 

Finally, use this ordering to visualize the design with coloring or shading:

