Now that we have removed the overall student effect, the correlation plot reveals that we have not yet explained the within subject correlation nor the fact that math and science are closer to each other than to the arts. So let’s explore the second column of the SVD. Repeat the previous exercise but for the second column: Plot U2, then plot V⊤2using the same range for the y-axis limits, then make an image of U2d2,2V⊤2and compare it to the image of resid.
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