Need help with data vector projection onto a plane.

clnoi101

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Mar 11, 2014
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Hello, I need help projecting data vector to the R2 plane. My professor took a survey of the class and asked us our major. We need to find how our vector compares to the average vector of each major on a plane.
I was given:
The vector of my survey "(X1,X2,X3,.....X33)"
The average vector of everyone "(X1,X2,X3,.....X33)"
And the points on the plane that are the average of the students vectors for each major "(X,Y)"
BE: (-0.126, -0.295)
CEE: (-0.257, -0.664)
CS: (0.022, -0.328)ME: (0.099, 0.471)
OTHER: (0.285, -0.484)

I am trying to use x=(AT*A)-1*AT*b but I do not know what the matrix b is because I am given vectors with no equation. Also if A is the matrix of my vector and the average vector horizontally then (AT*A) is a 33*33 matrix and will not project to a lower dimension. What am I not understanding?
 
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